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Author SHA1 Message Date
dependabot[bot] 960fdbe3df Bump pytest from 9.0.2 to 9.0.3
Bumps [pytest](https://github.com/pytest-dev/pytest) from 9.0.2 to 9.0.3.
- [Release notes](https://github.com/pytest-dev/pytest/releases)
- [Changelog](https://github.com/pytest-dev/pytest/blob/main/CHANGELOG.rst)
- [Commits](https://github.com/pytest-dev/pytest/compare/9.0.2...9.0.3)

---
updated-dependencies:
- dependency-name: pytest
  dependency-version: 9.0.3
  dependency-type: direct:development
...

Signed-off-by: dependabot[bot] <support@github.com>
2026-04-14 02:36:25 +00:00
kennethreitz b3f3e985b4 Document missing API features across guides
- chords: open_voicing() alongside other voicings, normal_form() in
  pitch class sets section
- tones: is_natural, is_sharp, is_flat accidental properties
- scales: Key.seventh() for individual degrees, expanded
  Scale.recommend() explanation of how ranking works

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-12 17:33:47 -04:00
kennethreitz c1925af69d Add Nashville numbers, blues scales, and tablature guide
New documentation section covering the Nashville number system,
blues scale theory, and tablature export — topics that were
previously scattered across cookbook and fretboard docs.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-12 16:11:29 -04:00
kennethreitz 7883c978f7 Support Fretboard objects in to_tab() — v0.42.1
to_tab(tuning=Fretboard.guitar()) now works, along with bass,
ukulele, mandolin, banjo, and any custom Fretboard with capo.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 10:03:52 -04:00
kennethreitz 36d558573c Remove worktree submodules, add to gitignore
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 10:02:17 -04:00
kennethreitz 1e2f09e2ab LilyPond, MusicXML, and tablature export — v0.42.0
Three new export methods on Score:
- to_lilypond() — complete LilyPond source files for PDF engraving
- to_musicxml() — MusicXML 4.0 for MuseScore/Sibelius/Finale
- to_tab() — ASCII guitar/bass tablature (also on Part)

All three handle multi-part scores, bass clef detection, tied notes
across barlines, chords, and drum tone filtering.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 10:02:09 -04:00
kennethreitz 9404afc1f3 Document ABC notation export in playback guide
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 07:59:46 -04:00
kennethreitz 72aa097552 Tie long notes across barlines in to_abc() — v0.41.4
Notes longer than one measure are split into tied pieces so abcjs
can render them correctly (e.g. 16-beat choir drone becomes four
tied whole notes).

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 07:57:23 -04:00
kennethreitz 5ebf0bdd97 Skip unpitched parts in to_abc(), fix 'pitch is undefined' — v0.41.3
Parts with only drum tones or rests are excluded from ABC output.
Chords correctly recognized as pitched content.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 07:47:44 -04:00
kennethreitz 1d897c6609 Auto bass clef detection in to_abc() — v0.41.2
Parts with average note octave below C4 get clef=bass automatically.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 07:43:51 -04:00
kennethreitz 4113aad5d0 Fix to_abc() crash on parts with drum tones — v0.41.1
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 07:40:07 -04:00
kennethreitz 6ecef688e1 ABC notation export via Score.to_abc() — v0.41.0
New method converts scores to ABC notation with support for multi-voice,
chords, rests, accidentals, and all durations. Pass html=True for a
self-contained HTML page with abcjs sheet music rendering.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 07:37:56 -04:00
kennethreitz fcc5db8e3d Add Score.to_abc() for ABC notation export with optional HTML rendering
Supports multi-voice scores, chords, rests, accidentals, and all durations.
Pass html=True to get a self-contained page using abcjs for sheet music.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-07 07:31:02 -04:00
kennethreitz 9de113b6e7 Add sound examples for hard sync, ring mod, wavefold, drift, karplus-strong, mellotron docs
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-04 14:04:37 -04:00
kennethreitz 0b98f7bd77 Mellotron, hard sync, ring mod, wavefold, drift synths + analog presets — v0.40.9
Five new synth waveforms: tape-replay Mellotron (strings/flute/choir
tapes with wow, flutter, saturation, 8s fadeout), hard sync oscillator,
ring modulation, wavefolding, and analog drift VCO with pitch
instability. 14 new instrument presets for Score.part(). Synth kwargs
now pass through play()/save()/_render(). 808 bass envelope fixed
from pluck to piano.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-02 23:14:18 -04:00
kennethreitz e0a1ce9d18 Fix hold() inflating Part.total_beats and Score.duration_ms — v0.40.8
Note.beats now returns 0.0 for held notes (_hold=True), matching the
renderer which already skipped advancing the beat position. Previously
every hold() call added its full duration to the part's total, causing
duration reports to be 2-3x too long on tracks with drone notes.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-01 13:27:08 -04:00
kennethreitz de7575fe0a Expose rhodes, wurlitzer, vibraphone, pipe organ, choir in Synth enum — v0.40.7
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-01 01:59:11 -04:00
kennethreitz 665a6f5de5 Remove lowpass/vel_to_filter from sax presets, let wave shape its own tone — v0.40.6
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-01 00:44:01 -04:00
kennethreitz 63362df697 Saxophone synth overhaul: reed clipping, formants, breath noise — v0.40.5
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-04-01 00:38:10 -04:00
kennethreitz 755b33a63b Fix test: update Synth enum count 42 → 46
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
2026-03-31 07:12:43 -04:00
104 changed files with 2575 additions and 72 deletions
+1
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@@ -7,3 +7,4 @@ t2.py
__pycache__
pytheory.egg-info
docs/_build
.claude/worktrees/
+104
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@@ -2,6 +2,110 @@
All notable changes to PyTheory are documented here.
## 0.42.1
- **Fretboard tuning support** — `to_tab()` now accepts `Fretboard` objects as
the `tuning` parameter. Works with `Fretboard.guitar()`, `Fretboard.bass()`,
`Fretboard.ukulele()`, `Fretboard.mandolin()`, `Fretboard.banjo()`, and any
custom Fretboard with capo.
## 0.42.0
- **LilyPond export** — `Score.to_lilypond()` generates complete LilyPond source
files with multi-staff scores, key/time signatures, tempo markings, and
automatic bass clef detection. Output can be compiled to publication-quality
PDFs with LilyPond.
- **MusicXML export** — `Score.to_musicxml()` generates MusicXML 4.0 documents
that can be opened in MuseScore, Sibelius, Finale, and any notation software.
Includes proper ties, chords, clef detection, and tempo/time signature metadata.
- **Guitar/bass tablature** — `Part.to_tab()` and `Score.to_tab()` generate ASCII
tablature. Supports guitar (6-string), bass (4-string), drop D, and custom
tunings. Automatically maps notes to the best string/fret positions.
## 0.41.4
- **Fix** — `to_abc()` now ties long notes across barlines instead of emitting
oversized durations that abcjs can't render (e.g. 16-beat notes become four
tied whole notes).
## 0.41.3
- **Fix** — `to_abc()` now skips parts with only drum tones or rests (no pitched
notes), fixing "pitch is undefined" errors in abcjs. Chords are correctly
recognized as pitched content.
## 0.41.2
- **Auto bass clef** — `to_abc()` detects low-register parts (808, bass, timpani)
and assigns `clef=bass` automatically based on average note octave.
## 0.41.1
- **Fix** — `to_abc()` no longer crashes on parts containing drum tones.
## 0.41.0
- **ABC notation export** — `Score.to_abc()` converts scores to ABC notation
strings. Supports multi-voice scores (via `V:` directives), chords, rests,
accidentals, and all standard durations. Pass `html=True` to get a
self-contained HTML page that renders sheet music in the browser via abcjs.
## 0.40.9
- **Mellotron synth** — tape-replay keyboard with wow/flutter, tape saturation,
bandwidth limiting, hiss, and 8-second tape fadeout. Three tape banks via the
`tape` parameter: `"strings"` (default), `"flute"`, and `"choir"`.
- **Analog oscillator synths** — four new waveform generators for fat, alive,
analog-style sounds:
- `Synth.HARD_SYNC` — slave oscillator hard-synced to a master (Prophet-5
leads). `slave_ratio` parameter controls harmonic content.
- `Synth.RING_MOD` — two oscillators multiplied for metallic, bell-like
inharmonic tones. `mod_ratio` parameter.
- `Synth.WAVEFOLD` — west coast wavefolding (Buchla-style). `folds` parameter
sweeps from warm to gnarly.
- `Synth.DRIFT` — analog VCO with pitch drift, jitter, and noise floor.
`shape` parameter (`"saw"`, `"square"`, `"triangle"`, `"pulse"`) and
`drift_amount` for instability level.
- **Synth kwargs passthrough** — `play()`, `save()`, and `_render()` now accept
`**synth_kw` for forwarding parameters to synth wave functions (e.g.
`play(tone, synth=Synth.MELLOTRON, tape="choir")`).
- **14 new instrument presets** — `mellotron`, `mellotron_strings`,
`mellotron_flute`, `mellotron_choir`, `sync_lead`, `sync_lead_bright`,
`ring_mod_bell`, `ring_mod_metallic`, `wavefold_warm`, `wavefold_gnarly`,
`drift_saw`, `drift_square`, `analog_pad`, `analog_bass`.
- **808 bass envelope fix** — changed from `pluck` (zero sustain, wrong for 808)
to `piano` (sharp attack with long decay tail).
## 0.40.8
- **Fix hold() inflating duration** — `Note.beats` was returning the full
duration for held notes (`_hold=True`), causing `Part.total_beats` and
`Score.duration_ms` to overcount. A part with `hold(Sa, WHOLE * 4)` followed
by `add(Pa, QUARTER)` would report 17 beats instead of 1. Now held notes
return 0 beats, matching the renderer which already skipped advancing the
timeline for held notes.
## 0.40.7
- **Expose missing Synth enum entries** — rhodes, wurlitzer, vibraphone,
pipe organ, and choir wave functions were already implemented but not
accessible via the Synth enum. Now available as `Synth.RHODES`,
`Synth.WURLITZER`, `Synth.VIBRAPHONE`, `Synth.PIPE_ORGAN`, `Synth.CHOIR`.
## 0.40.6
- **Saxophone presets cleaned up** — removed lowpass filters and vel_to_filter
from all sax instrument presets (saxophone, alto_sax, tenor_sax, bari_sax).
The saxophone wave function already shapes its own spectrum; the extra
filters were dulling the tone.
## 0.40.5
- **Saxophone synth overhaul** — reed nonlinearity (asymmetric soft clipping),
conical bore formant resonances, breath noise with attack envelope, separate
reed buzz, key click transient, and sub-harmonic warmth. Vibrato dialed back
to subtle, delayed onset.
## 0.40.4
- **Distortion overhaul** — multi-stage clipping (preamp → power amp →
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"""Demo the 5 new synths: Mellotron, Hard Sync, Ring Mod, Wavefold, Drift.
Each synth gets a short musical phrase — not just a scale run — with
reverb and rhythmic variety to show off its character.
"""
from pytheory import Score, Duration, play_score
EIGHTH = Duration.EIGHTH
QUARTER = Duration.QUARTER
HALF = Duration.HALF
DOTTED_Q = Duration.DOTTED_QUARTER
WHOLE = Duration.WHOLE
# ── Mellotron Strings ────────────────────────────────────────────────────────
# Strawberry Fields vibes — slow, haunted, with rests that breathe.
print("=== MELLOTRON STRINGS ===")
s = Score("4/4", bpm=72)
p = s.part("tape", instrument="mellotron_strings",
reverb=0.45, reverb_type="cathedral", reverb_decay=2.0)
p.add("G4", HALF).add("B4", QUARTER).add("D5", QUARTER)
p.add("C5", DOTTED_Q).add("B4", EIGHTH).add("A4", HALF)
p.rest(QUARTER)
p.add("G4", DOTTED_Q).add("F#4", EIGHTH).add("G4", WHOLE)
play_score(s)
# ── Mellotron Flute ──────────────────────────────────────────────────────────
# Lonely, breathy, with space between phrases.
print("\n=== MELLOTRON FLUTE ===")
s = Score("3/4", bpm=84)
p = s.part("flute", instrument="mellotron_flute",
reverb=0.5, reverb_type="taj_mahal", reverb_decay=2.5)
p.add("E5", HALF).add("D5", QUARTER)
p.add("C5", DOTTED_Q).add("B4", EIGHTH).rest(QUARTER)
p.add("A4", HALF).add("G4", QUARTER)
p.add("A4", HALF).rest(QUARTER)
p.add("E5", QUARTER).add("D5", QUARTER).add("C5", QUARTER)
p.add("B4", HALF + QUARTER)
play_score(s)
# ── Mellotron Choir ──────────────────────────────────────────────────────────
# Ghostly pad — slow chords, big reverb.
print("\n=== MELLOTRON CHOIR ===")
s = Score("4/4", bpm=60)
p = s.part("choir", instrument="mellotron_choir",
reverb=0.6, reverb_type="cathedral", reverb_decay=3.0)
p.add("C4", WHOLE)
p.add("E4", HALF).add("G4", HALF)
p.add("A4", DOTTED_Q).add("G4", EIGHTH).add("F4", HALF)
p.add("E4", WHOLE)
play_score(s)
# ── Hard Sync Lead ───────────────────────────────────────────────────────────
# Aggressive, punchy — fast 16ths and syncopation.
print("\n=== HARD SYNC LEAD ===")
s = Score("4/4", bpm=128)
p = s.part("sync", instrument="sync_lead",
reverb=0.25, reverb_type="plate")
p.add("E4", EIGHTH).add("E4", EIGHTH).rest(EIGHTH).add("G4", EIGHTH)
p.add("A4", QUARTER).add("G4", EIGHTH).add("E4", EIGHTH)
p.add("D4", EIGHTH).rest(EIGHTH).add("E4", EIGHTH).add("G4", EIGHTH)
p.add("A4", HALF)
p.rest(QUARTER).add("B4", EIGHTH).add("A4", EIGHTH)
p.add("G4", QUARTER).add("E4", QUARTER).add("D4", HALF)
play_score(s)
# ── Hard Sync Bright ─────────────────────────────────────────────────────────
# Higher slave ratio — more harmonics, screaming lead.
print("\n=== HARD SYNC BRIGHT ===")
s = Score("4/4", bpm=138)
p = s.part("sync2", instrument="sync_lead_bright",
reverb=0.2, reverb_type="plate")
p.add("A4", EIGHTH).add("C5", EIGHTH).add("D5", QUARTER)
p.rest(EIGHTH).add("E5", EIGHTH).add("D5", EIGHTH).add("C5", EIGHTH)
p.add("A4", QUARTER).rest(QUARTER).add("G4", EIGHTH).add("A4", EIGHTH)
p.add("C5", HALF)
play_score(s)
# ── Ring Mod Bell ────────────────────────────────────────────────────────────
# Shimmery, metallic — sparse hits with long reverb tail.
print("\n=== RING MOD BELL ===")
s = Score("4/4", bpm=66)
p = s.part("bell", instrument="ring_mod_bell",
reverb=0.6, reverb_type="cave", reverb_decay=3.0)
p.add("C5", HALF).rest(QUARTER).add("G4", QUARTER)
p.rest(HALF).add("E5", HALF)
p.add("D5", QUARTER).rest(QUARTER).add("C5", HALF)
p.rest(WHOLE)
p.add("G4", QUARTER).add("A4", QUARTER).add("C5", HALF)
play_score(s)
# ── Ring Mod Metallic ────────────────────────────────────────────────────────
# Alien, inharmonic — atonal stabs.
print("\n=== RING MOD METALLIC ===")
s = Score("4/4", bpm=100)
p = s.part("metal", instrument="ring_mod_metallic",
reverb=0.4, reverb_type="parking_garage", reverb_decay=2.0)
p.add("F4", EIGHTH).rest(EIGHTH).add("Ab4", EIGHTH).add("F4", EIGHTH)
p.rest(QUARTER).add("Db5", QUARTER).rest(QUARTER)
p.add("C5", EIGHTH).add("Ab4", EIGHTH).rest(QUARTER).add("F4", HALF)
p.rest(HALF).add("Db5", QUARTER).add("C5", QUARTER)
play_score(s)
# ── Wavefold Warm ────────────────────────────────────────────────────────────
# Gentle folds — round and musical, like a filtered saw with overtones.
print("\n=== WAVEFOLD WARM ===")
s = Score("4/4", bpm=108)
p = s.part("fold", instrument="wavefold_warm",
reverb=0.3, reverb_type="plate")
p.add("A3", QUARTER).add("C4", QUARTER).add("E4", QUARTER).add("A4", QUARTER)
p.add("G4", DOTTED_Q).add("E4", EIGHTH).add("C4", HALF)
p.add("D4", QUARTER).add("F4", QUARTER).add("A4", HALF)
p.add("G4", WHOLE)
play_score(s)
# ── Wavefold Gnarly ──────────────────────────────────────────────────────────
# Cranked folds — buzzy, aggressive, with syncopation.
print("\n=== WAVEFOLD GNARLY ===")
s = Score("4/4", bpm=130)
p = s.part("gnarly", instrument="wavefold_gnarly",
reverb=0.2, reverb_type="spring")
p.add("E3", EIGHTH).add("E3", EIGHTH).rest(EIGHTH).add("G3", EIGHTH)
p.add("A3", EIGHTH).rest(EIGHTH).add("B3", EIGHTH).add("A3", EIGHTH)
p.add("E3", QUARTER).add("G3", EIGHTH).add("A3", EIGHTH).add("B3", QUARTER)
p.rest(QUARTER)
p.add("E4", EIGHTH).add("D4", EIGHTH).add("B3", QUARTER).add("A3", HALF)
play_score(s)
# ── Drift Saw ────────────────────────────────────────────────────────────────
# Warm, alive analog saw — the Minimoog pad.
print("\n=== DRIFT SAW (vintage VCO) ===")
s = Score("4/4", bpm=88)
p = s.part("drift", instrument="drift_saw",
reverb=0.35, reverb_type="taj_mahal", reverb_decay=2.0)
p.add("D4", HALF).add("F4", HALF)
p.add("A4", DOTTED_Q).add("G4", EIGHTH).add("F4", QUARTER).rest(QUARTER)
p.add("D4", QUARTER).add("E4", QUARTER).add("F4", HALF)
p.add("D4", WHOLE)
play_score(s)
# ── Drift Square ─────────────────────────────────────────────────────────────
# Hollow, wobbly — 8-bit with analog soul.
print("\n=== DRIFT SQUARE ===")
s = Score("4/4", bpm=110)
p = s.part("dsq", instrument="drift_square",
reverb=0.25, reverb_type="plate")
p.add("C4", EIGHTH).add("E4", EIGHTH).add("G4", QUARTER).add("E4", QUARTER)
p.rest(QUARTER)
p.add("A4", EIGHTH).add("G4", EIGHTH).add("E4", QUARTER).add("C4", HALF)
p.add("D4", QUARTER).add("F4", EIGHTH).add("G4", EIGHTH).add("A4", HALF)
p.add("G4", WHOLE)
play_score(s)
# ── Analog Pad ───────────────────────────────────────────────────────────────
# Slow, drifting chords — Juno-style lushness.
print("\n=== ANALOG PAD ===")
s = Score("4/4", bpm=70)
p = s.part("pad", instrument="analog_pad",
reverb=0.5, reverb_type="taj_mahal", reverb_decay=3.0)
p.add("A3", WHOLE)
p.add("C4", HALF).add("E4", HALF)
p.add("F4", WHOLE)
p.add("E4", HALF).add("D4", HALF)
p.add("C4", WHOLE)
play_score(s)
# ── Analog Bass ──────────────────────────────────────────────────────────────
# Tight, punchy — Moog bass with filter sweep.
print("\n=== ANALOG BASS ===")
s = Score("4/4", bpm=120)
p = s.part("bass", instrument="analog_bass",
reverb=0.1, reverb_type="plate")
p.add("E2", EIGHTH).add("E2", EIGHTH).rest(EIGHTH).add("G2", EIGHTH)
p.add("A2", QUARTER).rest(QUARTER)
p.add("E2", EIGHTH).rest(EIGHTH).add("B2", EIGHTH).add("A2", EIGHTH)
p.add("G2", QUARTER).add("E2", QUARTER).rest(HALF)
p.add("E2", EIGHTH).add("E2", EIGHTH).add("G2", EIGHTH).add("A2", EIGHTH)
p.add("B2", QUARTER).add("A2", QUARTER).add("E2", HALF)
play_score(s)
print("\nDone!")
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@@ -850,6 +850,56 @@ def gen_synth_ukulele():
p.strum(ch, Duration.WHOLE, velocity=72)
render("synth_ukulele", score)
def gen_synth_hard_sync():
score = Score("4/4", bpm=120)
p = score.part("demo", instrument="sync_lead_bright", volume=0.5)
for n in ["C4", "E4", "G4", "C5", "G4", "E4", "C4", "E4"]:
p.add(n, Duration.QUARTER, velocity=90)
render("synth_hard_sync", score)
def gen_synth_ring_mod():
score = Score("4/4", bpm=90)
p = score.part("demo", instrument="ring_mod_bell", volume=0.5)
for n in ["C5", "E5", "G5", "C6", "G5", "E5", "C5", "E5"]:
p.add(n, Duration.QUARTER, velocity=80)
render("synth_ring_mod", score)
def gen_synth_wavefold():
score = Score("4/4", bpm=110)
p = score.part("demo", instrument="wavefold_warm", volume=0.5)
for n in ["C4", "E4", "G4", "C5", "G4", "E4", "C4", "E4"]:
p.add(n, Duration.QUARTER, velocity=85)
render("synth_wavefold", score)
def gen_synth_drift():
score = Score("4/4", bpm=90)
p = score.part("demo", instrument="drift_saw", volume=0.5, reverb=0.35,
reverb_type="taj_mahal")
for n in ["C4", "E4", "G4", "C5", "G4", "E4", "C4", "E4"]:
p.add(n, Duration.HALF, velocity=75)
render("synth_drift", score)
def gen_synth_karplus():
score = Score("4/4", bpm=100)
p = score.part("demo", synth="pluck_synth", envelope="none",
volume=0.5, reverb=0.2)
for n in ["C4", "E4", "G4", "C5", "G4", "E4", "C4", "E4"]:
p.add(n, Duration.QUARTER, velocity=85)
render("synth_karplus", score)
def gen_synth_mellotron():
score = Score("4/4", bpm=80)
p = score.part("demo", instrument="mellotron_flute", volume=0.5)
for n in ["C4", "E4", "G4", "C5"]:
p.add(n, Duration.WHOLE, velocity=75)
render("synth_mellotron", score)
def gen_synth_granular():
score = Score("4/4", bpm=80)
p = score.part("demo", instrument="granular_pad", volume=0.5, reverb=0.4)
@@ -1139,6 +1189,12 @@ GENERATORS = [
gen_synth_banjo,
gen_synth_mandolin,
gen_synth_ukulele,
gen_synth_hard_sync,
gen_synth_ring_mod,
gen_synth_wavefold,
gen_synth_drift,
gen_synth_karplus,
gen_synth_mellotron,
gen_synth_granular,
gen_synth_crotales,
gen_synth_tingsha,
+24
View File
@@ -503,9 +503,16 @@ are standard arranging techniques for spreading chord tones across registers:
>>> cmaj7 = Chord.from_symbol("Cmaj7")
>>> cmaj7.close_voicing()
<Chord C major 7th>
>>> cmaj7.open_voicing()
<Chord C major 7th>
>>> cmaj7.drop2()
<Chord C major 7th>
``open_voicing()`` takes the close voicing and raises every other
non-root tone by an octave, spreading the chord across two octaves.
The result is a wider, more spacious sound — common in orchestral
writing and piano ballads where you want the harmony to breathe.
Chord Extensions
----------------
@@ -596,6 +603,23 @@ music that doesn't follow traditional harmony, this is the tool.
Major and minor triads share the same prime form — they're inversions
of each other in pitch class space.
The **normal form** is the intermediate step — the most compact ascending
arrangement of pitch classes before transposition. It preserves the
actual pitch classes (not transposed to 0), so it tells you which
specific notes are in the set:
.. code-block:: pycon
>>> Chord.from_tones("C", "E", "G").normal_form
(0, 4, 7)
>>> Chord.from_tones("A", "C", "E").normal_form
(9, 0, 4)
Normal form keeps the original pitch classes; prime form transposes to 0
for comparison. Use ``normal_form`` when you care about which notes,
``prime_form`` when you care about the abstract shape.
.. code-block:: pycon
>>> Chord.from_tones("C", "E", "G").forte_number
+404
View File
@@ -0,0 +1,404 @@
Nashville Numbers, Blues Scales, and Tablature
===============================================
Three tools that work together: the Nashville number system for writing
chord charts, blues scales for improvisation, and tablature for seeing
where to put your fingers. This guide covers all three and shows how
they connect.
The Nashville Number System
---------------------------
The `Nashville number system <https://en.wikipedia.org/wiki/Nashville_Number_System>`_
replaces chord names with Arabic numerals (1, 2, 3...) so that a chart
works in **any key**. It's the standard chart format in Nashville
recording studios — a session musician can read a number chart and
transpose on the fly without rewriting anything.
The idea is simple: each number refers to a **scale degree**. In any
major key, 1 is the tonic chord, 4 is the subdominant, 5 is the
dominant, and so on. The chord quality (major, minor, diminished) is
determined by the key — you don't need to write it out.
In C major::
1 = C major 5 = G major
2 = D minor 6 = A minor
3 = E minor 7 = B diminished
4 = F major
In G major::
1 = G major 5 = D major
2 = A minor 6 = E minor
3 = B minor 7 = F# diminished
4 = C major
Same numbers, different key, different chords — but the same harmonic
relationships.
Using Nashville Numbers in PyTheory
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Both :class:`~pytheory.scales.Key` and :class:`~pytheory.scales.TonedScale`
support the ``nashville()`` method:
.. code-block:: pycon
>>> from pytheory import Key
>>> key = Key("C", "major")
>>> [c.identify() for c in key.nashville(1, 4, 5, 1)]
['C major', 'F major', 'G major', 'C major']
>>> # Same progression, different key — just change the Key
>>> key_g = Key("G", "major")
>>> [c.identify() for c in key_g.nashville(1, 4, 5, 1)]
['G major', 'C major', 'D major', 'G major']
Nashville numbers and Roman numerals produce the same result — they're
two notations for the same concept:
.. code-block:: pycon
>>> key = Key("G", "major")
>>> nash = [c.identify() for c in key.nashville(1, 5, 6, 4)]
>>> roman = [c.identify() for c in key.progression("I", "V", "vi", "IV")]
>>> nash == roman
True
Seventh Chords
~~~~~~~~~~~~~~
Suffix ``"7"`` to get seventh chords — essential for jazz and blues
charts:
.. code-block:: pycon
>>> key = Key("C", "major")
>>> [c.identify() for c in key.nashville("17", "47", "57")]
['C major 7th', 'F major 7th', 'G dominant 7th']
Nashville vs. Roman Numerals
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When should you use which?
- **Nashville numbers** — faster to type, easier to read at a glance,
standard in studio sessions. Use ``key.nashville(1, 4, 5, 1)``.
- **Roman numerals** — encode chord quality (uppercase = major,
lowercase = minor), standard in theory textbooks. Use
``key.progression("I", "IV", "V", "I")``.
Both are fully supported. Use whichever fits your workflow.
Blues Scales
------------
The `blues scale <https://en.wikipedia.org/wiki/Blues_scale>`_ is a
six-note scale built from the minor pentatonic plus one chromatic
passing tone — the **blue note** (flat 5th). That single added note
gives the blues its tension and character.
The blues system in PyTheory includes several related scales:
==================== ===== ==================================
Scale Notes Character
==================== ===== ==================================
minor pentatonic 5 Foundation of rock and blues soloing
major pentatonic 5 Bright, country, pop
blues 6 Minor pentatonic + blue note (b5)
major blues 6 Major pentatonic + blue note (b3)
dominant 7 Mixolydian — dominant 7th sound
minor 7 Dorian-like — minor with natural 6th
==================== ===== ==================================
Building Blues Scales
~~~~~~~~~~~~~~~~~~~~~
Use ``system="blues"`` when creating a :class:`~pytheory.scales.TonedScale`:
.. code-block:: pycon
>>> from pytheory import TonedScale
>>> c = TonedScale(tonic="C4", system="blues")
>>> c["minor pentatonic"].note_names
['C', 'Eb', 'F', 'G', 'Bb', 'C']
>>> c["blues"].note_names
['C', 'Eb', 'F', 'Gb', 'G', 'Bb', 'C']
>>> c["major pentatonic"].note_names
['C', 'D', 'E', 'G', 'A', 'C']
>>> c["major blues"].note_names
['C', 'D', 'Eb', 'E', 'G', 'A', 'C']
The Anatomy of a Blues Scale
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The blues scale in C::
C Eb F Gb G Bb C
1 b3 4 b5 5 b7 8
Root ──┐
├── minor 3rd (3 semitones)
├── perfect 4th (5 semitones)
├── diminished 5th (6 semitones) ← the "blue note"
├── perfect 5th (7 semitones)
├── minor 7th (10 semitones)
└── octave (12 semitones)
The blue note (Gb/F#) sits between the 4th and 5th — a dissonant,
unstable pitch that resolves up or down. It's what makes blues sound
like blues.
The 12-Bar Blues
~~~~~~~~~~~~~~~~
The `12-bar blues <https://en.wikipedia.org/wiki/Twelve-bar_blues>`_ is
the most important chord progression in American music. It uses the
Nashville numbers 1, 4, and 5::
| 1 | 1 | 1 | 1 |
| 4 | 4 | 1 | 1 |
| 5 | 4 | 1 | 5 |
In the key of A:
.. code-block:: pycon
>>> from pytheory import Key
>>> key = Key("A", "major")
>>> bars = key.nashville(1,1,1,1, 4,4,1,1, 5,4,1,5)
>>> [c.identify() for c in bars]
['A major', 'A major', 'A major', 'A major', 'D major', 'D major', 'A major', 'A major', 'E major', 'D major', 'A major', 'E major']
For an authentic blues sound, use dominant 7th chords:
.. code-block:: pycon
>>> bars_7 = key.nashville("17","17","17","17", "47","47","17","17", "57","47","17","57")
>>> [c.identify() for c in bars_7]
['A major 7th', 'A major 7th', 'A major 7th', 'A major 7th', 'D major 7th', 'D major 7th', 'A major 7th', 'A major 7th', 'E dominant 7th', 'D major 7th', 'A major 7th', 'E dominant 7th']
Or use the built-in named progression:
.. code-block:: pycon
>>> key = Key("A", "major")
>>> blues = key.common_progressions()["12-bar blues"]
>>> [c.identify() for c in blues]
['A major', 'A major', 'A major', 'A major', 'D major', 'D major', 'A major', 'A major', 'E major', 'D major', 'A major', 'E major']
Blues Scale on the Fretboard
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Visualize the blues scale on guitar to see the patterns:
.. code-block:: pycon
>>> from pytheory import Fretboard, TonedScale
>>> fb = Fretboard.guitar()
>>> blues = TonedScale(tonic="A4", system="blues")["blues"]
>>> print(fb.scale_diagram(blues, frets=12))
0 1 2 3 4 5 6 7 8 9 10 11 12
E| - | - | - | - | - | A | - | - | C | - | D | Eb| E |
B| - | - | - | D | Eb| E | - | - | - | - | A | - | - |
G| - | - | A | - | - | C | - | D | Eb| E | - | - | - |
D| - | - | - | - | A | - | - | C | - | D | Eb| E | - |
A| A | - | - | C | - | D | Eb| E | - | - | - | - | A |
E| - | - | - | - | - | A | - | - | C | - | D | Eb| E |
The minor pentatonic (same scale without the Eb) is the most-played
scale in rock guitar. Add the blue note and you have the full blues
scale — the same shapes, one extra fret.
Tablature
---------
`Tablature <https://en.wikipedia.org/wiki/Tablature>`_ (tab) shows
**where to put your fingers** rather than what notes to play. Each line
represents a string; numbers indicate fret positions. PyTheory generates
tabs at three levels:
1. **Chord tabs** — single chord fingerings
2. **Part tabs** — full melody/sequence notation
3. **Score tabs** — extract a part from a multi-part score
Chord Tablature
~~~~~~~~~~~~~~~~
Get the tab for any chord on any instrument:
.. code-block:: pycon
>>> from pytheory import Fretboard
>>> fb = Fretboard.guitar()
>>> print(fb.tab("C"))
C major
e|--0--
B|--1--
G|--0--
D|--2--
A|--3--
E|--x--
>>> print(fb.tab("Am"))
A minor
e|--0--
B|--1--
G|--2--
D|--2--
A|--0--
E|--x--
>>> print(fb.tab("E7"))
E dominant 7th
e|--0--
B|--0--
G|--1--
D|--0--
A|--2--
E|--0--
Works with any instrument:
.. code-block:: pycon
>>> uke = Fretboard.ukulele()
>>> print(uke.tab("C"))
C major
A|--3--
E|--0--
C|--0--
G|--0--
Reading Tab Notation
~~~~~~~~~~~~~~~~~~~~~
::
e|--0-- ← open string (don't fret, just pluck)
B|--1-- ← press fret 1
G|--0-- ← open string
D|--2-- ← press fret 2
A|--3-- ← press fret 3
E|--x-- ← muted (don't play this string)
- Each line is a string (highest pitch at top, lowest at bottom)
- Numbers are fret positions (0 = open, 1-24 = fretted)
- ``x`` means the string is muted / not played
- ``|`` marks measure boundaries in sequence tabs
Part Tablature
~~~~~~~~~~~~~~~
Generate tab from a composed part using ``to_tab()``:
.. code-block:: python
from pytheory import Score, Key, Duration
score = Score("4/4", bpm=120)
lead = score.part("lead", synth="saw")
# A simple blues lick
for note in ["A4", "C5", "D5", "Eb5", "E5", "G5", "A5"]:
lead.add(note, Duration.QUARTER)
print(lead.to_tab())
This outputs standard ASCII tab with measure lines, mapping each note
to the most playable string and fret position.
Tuning Options
~~~~~~~~~~~~~~
The ``to_tab()`` method supports multiple tunings:
.. code-block:: python
# Standard guitar (default)
lead.to_tab(tuning="guitar")
# 4-string bass
lead.to_tab(tuning="bass")
# Drop D guitar
lead.to_tab(tuning="drop_d")
# Any Fretboard object — use any of the 25+ instrument presets
from pytheory import Fretboard
lead.to_tab(tuning=Fretboard.mandolin())
lead.to_tab(tuning=Fretboard.banjo())
# Custom tuning as MIDI note numbers (low string first)
lead.to_tab(tuning=[40, 45, 50, 55, 59, 64])
Score Tablature
~~~~~~~~~~~~~~~~
Extract tab from a multi-part score:
.. code-block:: python
score = Score("4/4", bpm=120)
rhythm = score.part("rhythm", synth="saw")
lead = score.part("lead", synth="triangle")
bass = score.part("bass", synth="sine")
# ... compose parts ...
# Tab the lead part
print(score.to_tab("lead"))
# Tab the first non-drum part (if no name given)
print(score.to_tab())
# Bass tab
print(score.to_tab("bass", tuning="bass"))
Putting It All Together
-----------------------
Here's a complete example that uses all three features — Nashville
numbers for the chord progression, the blues scale for the melody, and
tab export to see the fingering:
.. code-block:: python
from pytheory import Key, TonedScale, Fretboard, Score, Duration
# 1. Nashville numbers for the progression
key = Key("A", "major")
chords = key.nashville(1, 1, 1, 1, 4, 4, 1, 1, 5, 4, 1, 5)
# 2. Blues scale for the melody
blues = TonedScale(tonic="A4", system="blues")["blues"]
# 3. Compose a score
score = Score("4/4", bpm=120)
rhythm = score.part("rhythm", synth="saw", envelope="pad")
lead = score.part("lead", synth="triangle", envelope="pluck")
for chord in chords:
rhythm.add(chord, Duration.WHOLE)
for note_name in blues.note_names[:-1]: # walk up the scale
lead.add(f"{note_name}4", Duration.HALF)
# 4. See it as tablature
print(lead.to_tab())
# 5. See the scale on the fretboard
fb = Fretboard.guitar()
print(fb.scale_diagram(blues, frets=12))
Nashville numbers tell you *what chords to play*. The blues scale tells you *what notes to solo with*. Tablature tells you *where to put your fingers*. Together, they're everything you need to play the blues.
+173 -7
View File
@@ -3,19 +3,21 @@ Playback and Export
This is the output layer. You've built your theory, composed your
arrangement, shaped your sounds -- now you need to hear it. PyTheory
gives you three ways to get your music out: speakers, WAV files, and
MIDI files.
gives you four ways to get your music out: speakers, WAV files, MIDI
files, and sheet music.
Use **speakers** for immediate feedback while you're sketching and
experimenting. Use **WAV export** when you want to share actual audio
-- post it, send it, drop it into a video. Use **MIDI export** when you
want to bring your sketch into a real DAW and finish it with
professional instruments, mixing, and mastering. Each output serves a
different stage of the creative process.
professional instruments, mixing, and mastering. Use **ABC notation
export** when you want sheet music -- rendered in the browser or shared
as plain text. Each output serves a different stage of the creative
process.
PyTheory can play audio through your speakers, save to WAV, or export
to MIDI. Everything is synthesized from waveforms -- no samples or
external audio files needed.
PyTheory can play audio through your speakers, save to WAV, export to
MIDI, or generate sheet music as ABC notation. Everything is synthesized
from waveforms -- no samples or external audio files needed.
.. note::
@@ -44,6 +46,22 @@ Optional parameters for synth, envelope, and temperament:
play(Tone.from_string("C4"), synth=Synth.SAW, envelope=Envelope.PLUCK, t=1_000)
play(Tone.from_string("C4"), temperament="pythagorean", t=1_000)
Synth-specific parameters are passed through as keyword arguments:
.. code-block:: python
# Mellotron with flute tape
play(Tone.from_string("C4"), synth=Synth.MELLOTRON, tape="choir", t=2_000)
# Hard sync with custom slave ratio
play(Tone.from_string("C4"), synth=Synth.HARD_SYNC, slave_ratio=2.5)
# Wavefolding with 4 folds
play(Tone.from_string("C4"), synth=Synth.WAVEFOLD, folds=4.0)
# Drift oscillator with square shape
play(Tone.from_string("C4"), synth=Synth.DRIFT, shape="square")
play_score() -- Full Arrangements
---------------------------------
@@ -155,6 +173,154 @@ Score-based export (with time signature, tempo, and parts):
score.add(chord, Duration.WHOLE)
score.save_midi("progression.mid")
to_abc() -- ABC Notation / Sheet Music
---------------------------------------
ABC notation is a human-readable text format for music that tools can
turn into staff notation and MIDI. It's widely used for folk tunes,
lead sheets, and quick sketches. PyTheory can export any Score as ABC
notation -- and optionally wrap it in an HTML page that renders
sheet music right in the browser using `abcjs <https://www.abcjs.net/>`_.
Basic export:
.. code-block:: python
from pytheory import Score, Duration, Key
score = Score("4/4", bpm=120)
lead = score.part("lead")
for chord in Key("C", "major").progression("I", "V", "vi", "IV"):
lead.add(chord, Duration.WHOLE)
print(score.to_abc(title="Pop Chords", key="C"))
Output:
.. code-block:: text
X:1
T:Pop Chords
M:4/4
Q:1/4=120
L:1/8
K:C
[CEG]8 | [GBd]8 | [Ace]8 | [FAc]8 |
Open sheet music in the browser with ``html=True``:
.. code-block:: python
html = score.to_abc(title="Pop Chords", key="C", html=True)
with open("chords.html", "w") as f:
f.write(html)
import webbrowser
webbrowser.open("chords.html")
This generates a self-contained HTML page with an embedded
``<script>`` tag that loads abcjs from a CDN and renders the notation
as SVG -- no build steps, no dependencies, just open the file.
Multi-part scores automatically get ``V:`` (voice) directives so each
instrument appears on its own staff. Bass parts (average note below C4)
get bass clef automatically. Drum-only parts are skipped. Notes longer
than one measure are split into tied notes across barlines.
Parameters:
- **title** -- Tune title for the ``T:`` header (default ``"Untitled"``).
- **key** -- ABC key signature string (default ``"C"``). Use ``"Am"`` for
A minor, ``"Bb"`` for B-flat major, ``"F#m"`` for F-sharp minor, etc.
- **html** -- If ``True``, return a full HTML document instead of raw ABC
(default ``False``).
to_lilypond() -- LilyPond Export
---------------------------------
`LilyPond <https://lilypond.org/>`_ is the gold standard for
publication-quality music engraving. ``to_lilypond()`` generates
complete LilyPond source files that you can compile to PDF:
.. code-block:: python
score = Score("4/4", bpm=120)
lead = score.part("lead")
for note in ["C4", "D4", "E4", "F4"]:
lead.add(note, Duration.QUARTER)
ly = score.to_lilypond(title="My Score", key="C", mode="major")
with open("score.ly", "w") as f:
f.write(ly)
Then compile with ``lilypond score.ly`` to get a PDF. Multi-part scores
get separate staves in a ``StaffGroup``, bass clef is auto-detected,
and long notes are split with ties across barlines.
Parameters:
- **title** -- Title for the ``\header`` block (default ``"Untitled"``).
- **key** -- Key signature root (default ``"C"``). Use note names like
``"Bb"``, ``"F#"``, ``"Eb"``.
- **mode** -- LilyPond mode string (default ``"major"``). Use ``"minor"``
for minor keys.
to_musicxml() -- MusicXML Export
---------------------------------
MusicXML is the interchange format for notation software. Export your
score and open it in MuseScore, Sibelius, Finale, Dorico, or any
other notation app:
.. code-block:: python
xml = score.to_musicxml(title="My Score")
with open("score.musicxml", "w") as f:
f.write(xml)
The output is a complete MusicXML 4.0 partwise document with proper
time signatures, tempo markings, clef detection, tied notes across
barlines, and chord notation. No external dependencies needed.
to_tab() -- Guitar/Bass Tablature
-----------------------------------
Generate ASCII tablature from any Part or Score:
.. code-block:: python
lead = score.part("lead")
lead.add("E4", Duration.QUARTER)
lead.add("B3", Duration.QUARTER)
lead.add("G3", Duration.QUARTER)
lead.add("D3", Duration.QUARTER)
print(lead.to_tab())
Output::
e|---0---------|
B|------0------|
G|---------0---|
D|------------0|
A|-------------|
E|-------------|
Works on Score too -- it picks the first melodic part automatically:
.. code-block:: python
print(score.to_tab()) # auto-pick part
print(score.to_tab(part_name="bass")) # specific part
print(score.to_tab(tuning="bass")) # 4-string bass tab
print(score.to_tab(tuning="drop_d")) # drop D guitar
Supports ``"guitar"`` (6-string standard), ``"bass"`` (4-string),
``"drop_d"``, or a custom list of MIDI note numbers for any tuning.
play_pattern() -- Drum Patterns
-------------------------------
+27 -1
View File
@@ -269,6 +269,23 @@ easy:
['G major', 'A minor', 'B minor', 'C major', 'D major', 'E minor', 'F# diminished']
>>> key.seventh_chords
['G major 7th', 'A minor 7th', 'B minor 7th', 'C major 7th', 'D dominant 7th', 'E minor 7th', 'F# half-diminished 7th']
Build a seventh chord on any individual degree with ``seventh()``:
.. code-block:: pycon
>>> key.seventh(0) # I7
G major 7th
>>> key.seventh(4) # V7
D dominant 7th
>>> key.seventh(6) # vii7
F# half-diminished 7th
This is the single-degree version of ``seventh_chords`` — useful when
you need one specific chord rather than the full list.
.. code-block:: pycon
>>> Key.detect("C", "E", "G", "A", "D")
C major
@@ -440,7 +457,16 @@ alternative scales to improvise over:
>>> Scale.recommend("C", "Eb", "F", "Gb", "G", "Bb", top=3)
[('C', 'blues', 1.0), ...]
Chromatic scales are deprioritized since they match everything.
How it works: ``recommend()`` tests your notes against every scale in
every key (all 12 tonics times all scale types in the Western system).
Each candidate is scored using ``fitness()`` — the fraction of your notes
that belong to that scale (1.0 = perfect match). Results are ranked by
fitness, with chromatic scales deprioritized since they match everything.
Scales whose length is closer to the number of input notes are preferred
when fitness scores tie.
Returns a list of ``(tonic, scale_name, fitness)`` tuples. Pass ``top=``
to control how many results you get back (default 5).
Parallel Modes
~~~~~~~~~~~~~~
+181 -3
View File
@@ -1,7 +1,7 @@
Synthesizers
============
PyTheory includes 41 built-in waveforms and 10 ADSR envelope presets.
PyTheory includes 56 built-in waveforms and 10 ADSR envelope presets.
Every sound is generated from scratch -- no samples or external audio
files needed.
@@ -249,6 +249,130 @@ produces a natural chorus/vibrato effect built into the waveform itself.
<audio controls style="width:100%;margin:0.3em 0 0.5em"><source src="../_static/audio/synth_pwm_fast.wav" type="audio/wav"></audio>
Analog Synthesis
----------------
These waveforms model the behavior of real analog hardware — the
imperfections, interactions, and nonlinearities that make a room full
of vintage synths sound so much more alive than a room full of VSTs.
Each one is a different approach to the same question: how do you make
a digital oscillator sound like it has a soul?
Hard Sync
~~~~~~~~~
A "slave" oscillator is forced to restart its cycle every time a
"master" oscillator completes one. The abrupt restart creates bright
formant peaks that sweep as the slave ratio changes. This is THE sound
of the Prophet-5, Moog Prodigy, and every screaming analog lead since
1978.
**Use for:** aggressive leads, formant sweeps, cutting solos.
.. code-block:: python
lead = score.part("lead", synth="hard_sync", envelope="pluck")
# Higher slave ratio = more harmonics, brighter
from pytheory import play, Synth, Tone
play(Tone.from_string("C4"), synth=Synth.HARD_SYNC, slave_ratio=2.5)
.. raw:: html
<audio controls style="width:100%;margin:0.3em 0 0.5em"><source src="../_static/audio/synth_hard_sync.wav" type="audio/wav"></audio>
Ring Modulation
~~~~~~~~~~~~~~~
Two oscillators multiplied together, producing sum and difference
frequencies. Unlike FM, ring mod outputs only sidebands — no carrier
or modulator fundamental. The result is metallic, bell-like, and often
inharmonic. Classic Dalek voice, Stockhausen, and every sci-fi
soundtrack.
**Use for:** metallic bells, alien textures, inharmonic percussion.
.. code-block:: python
bells = score.part("bells", instrument="ring_mod_bell",
reverb=0.5, reverb_type="cave")
# Non-integer ratios = more inharmonic
play(Tone.from_string("C4"), synth=Synth.RING_MOD, mod_ratio=2.1)
.. raw:: html
<audio controls style="width:100%;margin:0.3em 0 0.5em"><source src="../_static/audio/synth_ring_mod.wav" type="audio/wav"></audio>
Wavefolding
~~~~~~~~~~~
The heart of west coast synthesis (Buchla, Make Noise, Verbos). A sine
wave is amplified past ±1.0, then "folded" — the overflow bounces back
instead of clipping. Each fold adds new harmonic pairs. At low fold
counts it's warm and round; crank it up and it gets buzzy, gnarly, and
alive.
This sounds completely different from subtractive synthesis — instead of
*removing* harmonics with a filter, you're *generating* them by shaping
the wave. Pairs beautifully with a lowpass filter after the fold.
**Use for:** complex leads, evolving textures, west coast basslines.
.. code-block:: python
# Warm, musical folding
warm = score.part("fold", instrument="wavefold_warm")
# Cranked and aggressive
gnarly = score.part("gnarly", instrument="wavefold_gnarly")
# Direct control over fold amount
play(Tone.from_string("C4"), synth=Synth.WAVEFOLD, folds=3.0)
.. raw:: html
<audio controls style="width:100%;margin:0.3em 0 0.5em"><source src="../_static/audio/synth_wavefold.wav" type="audio/wav"></audio>
Drift Oscillator
~~~~~~~~~~~~~~~~
Real analog oscillators are never perfectly stable. Capacitor charging,
thermal variations, and component tolerances make the pitch wander
slightly. This is what makes a Minimoog sound "fat" and a VST sound
"thin" — the constant micro-motion of imperfect hardware.
The drift oscillator models slow pitch drift (< 1 Hz wander), fast
jitter (per-cycle randomness), a soft analog noise floor, and slightly
rounded waveform edges. It turns any basic shape into something that
breathes.
**Use for:** analog-style pads, warm basses, vintage leads, any voice
that needs to feel "alive."
.. code-block:: python
# Vintage Minimoog-style saw
pad = score.part("pad", instrument="drift_saw",
reverb=0.35, reverb_type="taj_mahal")
# Hollow square with analog wobble
sq = score.part("sq", instrument="drift_square")
# Control the shape and instability directly
play(Tone.from_string("C4"), synth=Synth.DRIFT,
shape="triangle", drift_amount=0.25)
.. raw:: html
<audio controls style="width:100%;margin:0.3em 0 0.5em"><source src="../_static/audio/synth_drift.wav" type="audio/wav"></audio>
Drift amount controls how unstable the oscillator is:
- **0.05** = studio-grade (Sequential, Oberheim)
- **0.15** = classic vintage (Minimoog, ARP) — the default
- **0.30** = barely-holding-it-together (old SH-101)
ADSR Envelopes
--------------
@@ -406,6 +530,10 @@ It sounds genuinely like a real guitar, harp, or koto.
guitar = score.part("guitar", synth="pluck_synth")
harp = score.part("harp", instrument="harp") # uses pluck_synth
.. raw:: html
<audio controls style="width:100%;margin:0.3em 0 0.5em"><source src="../_static/audio/synth_karplus.wav" type="audio/wav"></audio>
Hammond Organ
~~~~~~~~~~~~~
@@ -440,11 +568,11 @@ Dedicated Instrument Synths
--------------------------
Beyond the classic and physical modeling waveforms, PyTheory includes
31 dedicated instrument synths. Each one uses tailored synthesis
36 dedicated instrument synths. Each one uses tailored synthesis
techniques -- additive harmonics, formant shaping, body resonance
modeling, and specialized envelopes -- to capture the character of a
specific acoustic instrument. These are the waveforms that bring the
total count to 41.
total count to 56.
Piano Synth
~~~~~~~~~~~
@@ -495,6 +623,42 @@ picked up by an electrostatic pickup. More nasal, reedy, and biting
<audio controls style="width:100%;margin:0.3em 0 0.5em"><source src="../_static/audio/synth_wurlitzer.wav" type="audio/wav"></audio>
Mellotron
~~~~~~~~~
The original "sampler" — a 1960s keyboard where each key triggers a
strip of magnetic tape with a pre-recorded instrument. The mechanical
tape transport gives it a haunted, lo-fi quality that no digital
emulation fully captures: pitch wobbles from uneven capstan speed,
bandwidth limited to 300 Hz6 kHz (like a worn cassette), soft tape
saturation, and tapes that physically run out after 8 seconds.
The Mellotron defined the sound of *Strawberry Fields Forever*,
*Stairway to Heaven*, and every prog rock record from 19691977.
Three tape banks are available via the ``tape`` parameter:
- ``"strings"`` (default) — the iconic MkII string section
- ``"flute"`` — breathy, haunting solo flute
- ``"choir"`` — ghostly vocal pad
**Use for:** prog rock, haunted textures, vintage orchestral color.
.. code-block:: python
# Use instrument presets (includes reverb)
strings = score.part("strings", instrument="mellotron_strings")
flute = score.part("flute", instrument="mellotron_flute")
choir = score.part("choir", instrument="mellotron_choir")
# Or select the tape directly
from pytheory import play, Synth, Tone
play(Tone.from_string("C4"), synth=Synth.MELLOTRON, tape="flute", t=3000)
.. raw:: html
<audio controls style="width:100%;margin:0.3em 0 0.5em"><source src="../_static/audio/synth_mellotron.wav" type="audio/wav"></audio>
Vibraphone Synth
~~~~~~~~~~~~~~~~
@@ -1127,6 +1291,12 @@ bagpipe, singing_bowl, singing_bowl_ring, tingsha
**Synth**: synth_lead, synth_pad, synth_bass, acid_bass, 808_bass,
granular_pad, granular_texture, vocal, choir
**Mellotron**: mellotron, mellotron_strings, mellotron_flute, mellotron_choir
**Analog**: sync_lead, sync_lead_bright, ring_mod_bell, ring_mod_metallic,
wavefold_warm, wavefold_gnarly, drift_saw, drift_square, analog_pad,
analog_bass
**Percussion**: vibraphone, marimba, xylophone, glockenspiel, tubular_bells,
timpani, crotales
@@ -1169,3 +1339,11 @@ Some practical combos worth memorizing:
long reverb and you're scoring a nature documentary.
- ``saw`` + ``pluck`` = **funk stab.** Short, sharp, bright. The
sound of Nile Rodgers' right hand.
- ``hard_sync`` + ``pluck`` = **prophet lead.** Bright formant peak
that cuts through any mix. The opening riff of every 80s synth solo.
- ``wavefold`` + ``organ`` = **west coast bass.** Warm, harmonically
rich sine-derivative that pairs beautifully with a lowpass after.
- ``drift`` + ``pad`` = **analog pad.** A sawtooth that breathes and
wobbles like a real VCO. Add chorus and reverb for Juno vibes.
- ``mellotron_synth`` + ``organ`` = **prog strings.** Haunted tape
machine. Add cathedral reverb and you're in 1972.
+26
View File
@@ -357,6 +357,32 @@ every tone knows its enharmonic spelling:
>>> Tone.from_string("C4", system="western").enharmonic is None
True
Accidental Properties
~~~~~~~~~~~~~~~~~~~~~
Check whether a tone is natural, sharp, or flat:
.. code-block:: pycon
>>> c = Tone.from_string("C4", system="western")
>>> c.is_natural
True
>>> c.is_sharp
False
>>> cs = Tone.from_string("C#4", system="western")
>>> cs.is_sharp
True
>>> cs.is_natural
False
>>> bb = Tone.from_string("Bb4", system="western")
>>> bb.is_flat
True
Useful for filtering — for example, finding all natural notes in a
scale, or counting accidentals in a melody.
Extended Enharmonics
~~~~~~~~~~~~~~~~~~~~
+1
View File
@@ -118,6 +118,7 @@ What's Inside
guide/scales
guide/chords
guide/fretboard
guide/nashville-blues-tabs
guide/systems
guide/sequencing
guide/synths
+1 -1
View File
@@ -1,6 +1,6 @@
[project]
name = "pytheory"
version = "0.40.4"
version = "0.42.1"
description = "Music Theory for Humans"
readme = "README.md"
license = "MIT"
+1 -1
View File
@@ -1,6 +1,6 @@
"""PyTheory: Music Theory for Humans."""
__version__ = "0.40.4"
__version__ = "0.42.1"
from .tones import Tone, Interval
from .systems import System, SYSTEMS, TET
+434 -43
View File
@@ -203,6 +203,168 @@ def pwm_fast_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE):
return pwm_wave(hz, peak, n_samples, lfo_rate=3.0)
def hard_sync_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE,
slave_ratio=1.5):
"""Hard-sync oscillator — slave saw reset by master clock.
The quintessential analog lead sound. A "slave" oscillator runs at
a different frequency but is forced to restart its cycle every time
the "master" oscillator completes one. The abrupt restart creates
bright, harmonically complex formant peaks that sweep as the slave
ratio changes.
This is THE sound of the Prophet-5, Moog Prodigy, and every
screaming analog lead since 1978.
Args:
slave_ratio: Slave frequency as a multiple of master.
1.0 = unison (plain saw). 1.53.0 = sweet spot for leads.
Higher = more metallic, ring-mod-like.
"""
t = numpy.arange(n_samples, dtype=numpy.float64) / SAMPLE_RATE
# Master phase ramps 0→1 at hz
master_phase = (t * hz) % 1.0
# Detect master zero-crossings (phase resets)
resets = numpy.diff(master_phase, prepend=master_phase[0]) < -0.5
# Slave phase: runs at slave_ratio * hz, but resets with master
slave_phase = numpy.zeros(n_samples, dtype=numpy.float64)
phase = 0.0
slave_freq = hz * slave_ratio
dt = 1.0 / SAMPLE_RATE
for i in range(n_samples):
if resets[i]:
phase = 0.0
slave_phase[i] = phase
phase += slave_freq * dt
phase %= 1.0
# Slave is a sawtooth: 2*phase - 1
wave = 2.0 * slave_phase - 1.0
return (peak * wave).astype(numpy.int16)
def ring_mod_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE,
mod_ratio=1.5):
"""Ring modulation — two oscillators multiplied together.
Multiplying two signals produces sum and difference frequencies,
creating inharmonic, metallic, bell-like tones. Unlike FM, ring mod
produces only sidebands no carrier or modulator in the output.
Classic Dalek voice, Stockhausen elektronische Musik, and the
metallic clang of every sci-fi soundtrack.
Args:
mod_ratio: Modulator frequency as a multiple of carrier.
Integer ratios (2, 3) = harmonic (bell-like).
Non-integer (1.5, 2.1) = inharmonic (metallic, alien).
"""
t = numpy.arange(n_samples, dtype=numpy.float64) / SAMPLE_RATE
carrier = numpy.sin(2 * numpy.pi * hz * t)
modulator = numpy.sin(2 * numpy.pi * hz * mod_ratio * t)
wave = carrier * modulator
return (peak * wave).astype(numpy.int16)
def wavefold_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE,
folds=3.0):
"""Wavefolding — signal folded back on itself for complex harmonics.
The heart of west coast synthesis (Buchla, Make Noise, Verbos).
A sine wave is amplified past ±1.0, then "folded" the overflow
bounces back instead of clipping. Each fold adds a new pair of
harmonics. At low fold counts it's warm and round; crank it up
and it gets buzzy, gnarly, and alive.
Sounds completely different from subtractive synthesis instead
of removing harmonics with a filter, you're *generating* them
by shaping the wave. Pairs beautifully with a lowpass filter.
Args:
folds: Drive amount. 1.0 = clean sine. 24 = sweet spot.
6+ = harsh, buzzy territory.
"""
t = numpy.arange(n_samples, dtype=numpy.float64) / SAMPLE_RATE
wave = numpy.sin(2 * numpy.pi * hz * t) * folds
# Triangle-fold: repeatedly reflect at ±1
# Uses the mathematical identity for folding
wave = 4.0 * numpy.abs((wave / 4.0 + 0.25) % 1.0 - 0.5) - 1.0
return (peak * wave).astype(numpy.int16)
def drift_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE,
shape="saw", drift_amount=0.15):
"""Analog VCO with pitch drift, instability, and soft noise floor.
Real analog oscillators are never perfectly stable. Capacitor
charging, thermal variations, and component tolerances make the
pitch wander slightly. This is what makes a Minimoog sound "fat"
and a VST sound "thin" the constant micro-motion of imperfect
hardware.
Models:
- Slow pitch drift (< 1 Hz wander, like warming up)
- Fast jitter (subtle per-cycle randomness)
- Soft analog noise floor (faint hiss blended in)
- Slightly rounded edges (no mathematically perfect transitions)
Args:
shape: Base oscillator "saw", "square", "triangle", or "pulse".
drift_amount: How unstable the oscillator is.
0.05 = studio-grade (Sequential, Oberheim).
0.15 = classic vintage (Minimoog, ARP).
0.3 = barely-holding-it-together (old SH-101).
"""
t = numpy.arange(n_samples, dtype=numpy.float64) / SAMPLE_RATE
rng = numpy.random.default_rng(int(hz * 100) % 2**31)
# Slow pitch drift — 2 LFOs at sub-Hz rates with random phase
drift1 = drift_amount * 0.6 * numpy.sin(
2 * numpy.pi * 0.07 * t + rng.uniform(0, 2 * numpy.pi))
drift2 = drift_amount * 0.4 * numpy.sin(
2 * numpy.pi * 0.23 * t + rng.uniform(0, 2 * numpy.pi))
# Fast jitter — per-sample noise filtered to ~50 Hz bandwidth
jitter_raw = rng.normal(0, drift_amount * 0.08, n_samples)
# Simple one-pole lowpass for jitter smoothing
alpha = 2 * numpy.pi * 50.0 / SAMPLE_RATE
jitter = numpy.zeros(n_samples, dtype=numpy.float64)
jitter[0] = jitter_raw[0]
for i in range(1, n_samples):
jitter[i] = jitter[i-1] + alpha * (jitter_raw[i] - jitter[i-1])
# Instantaneous frequency with drift (in cents, converted to ratio)
cents_offset = drift1 + drift2 + jitter
freq_ratio = 2.0 ** (cents_offset / 1200.0)
# Accumulate phase with varying frequency
phase = numpy.cumsum(hz * freq_ratio / SAMPLE_RATE)
phase %= 1.0
# Generate waveform from phase
if shape == "square":
wave = numpy.where(phase < 0.5, 1.0, -1.0)
elif shape == "triangle":
wave = 4.0 * numpy.abs(phase - 0.5) - 1.0
elif shape == "pulse":
wave = numpy.where(phase < 0.25, 1.0, -1.0)
else: # saw
wave = 2.0 * phase - 1.0
# Soft edges — gentle lowpass to round off transitions
cutoff = min(16000, hz * 12)
bl, al = scipy.signal.butter(1, cutoff, btype='low', fs=SAMPLE_RATE)
wave = scipy.signal.lfilter(bl, al, wave)
# Subtle analog noise floor
noise = rng.normal(0, 0.005, n_samples)
wave = wave + noise
mx = numpy.abs(wave).max()
if mx > 0:
wave /= mx
return (peak * wave).astype(numpy.int16)
def pluck_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE):
"""Karplus-Strong plucked string synthesis.
@@ -534,6 +696,145 @@ def wurlitzer_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE):
return (peak * wave).astype(numpy.int16)
def mellotron_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE,
tape="strings"):
"""Mellotron — tape-replay keyboard from the 1960s.
Each key triggers a strip of magnetic tape with a pre-recorded
instrument the original "sampler." The mechanical transport gives
it a lo-fi, haunted quality that no digital emulation fully captures:
- Tape flutter: pitch wobbles from uneven capstan speed
- Limited bandwidth: 300 Hz6 kHz, like a worn cassette
- Tape saturation: soft compression, rounded transients
- 8-second limit: tapes physically run out (we model the fadeout)
- Head noise: faint hiss baked into the character
The Mellotron defined the sound of Strawberry Fields Forever,
Stairway to Heaven, and every prog rock record from 19691977.
Args:
tape: Which tape bank to simulate.
"strings" the iconic MkII string section
"flute" breathy, haunting solo flute
"choir" ghostly vocal pad
"""
t = numpy.arange(n_samples, dtype=numpy.float64) / SAMPLE_RATE
rng = numpy.random.default_rng(int(hz * 100) % 2**31)
# --- Tape flutter: slow wow + faster flutter ---
wow = 0.12 * numpy.sin(2 * numpy.pi * 0.4 * t + rng.uniform(0, 6.28))
flutter = 0.06 * numpy.sin(2 * numpy.pi * 6.3 * t + rng.uniform(0, 6.28))
flutter += 0.03 * numpy.sin(2 * numpy.pi * 9.7 * t + rng.uniform(0, 6.28))
# Cents of pitch deviation
pitch_cents = wow + flutter
freq_ratio = 2.0 ** (pitch_cents / 1200.0)
# Accumulate phase with flutter
inst_freq = hz * freq_ratio
phase = numpy.cumsum(inst_freq / SAMPLE_RATE)
# --- Generate the "tape" source ---
nyquist = SAMPLE_RATE / 2.0
wave = numpy.zeros(n_samples, dtype=numpy.float64)
if tape == "flute":
# Breathy flute: fundamental + weak odd harmonics + breath noise
wave += 0.7 * numpy.sin(2 * numpy.pi * phase)
if hz * 3 < nyquist:
wave += 0.12 * numpy.sin(2 * numpy.pi * 3 * phase + rng.uniform(0, 6.28))
if hz * 5 < nyquist:
wave += 0.04 * numpy.sin(2 * numpy.pi * 5 * phase + rng.uniform(0, 6.28))
# Breath noise — bandpass filtered around fundamental
breath = rng.normal(0, 0.25, n_samples)
bw = max(100, hz * 0.3)
lo = max(20, hz - bw)
hi = min(nyquist * 0.95, hz + bw)
bb, ab = scipy.signal.butter(2, [lo, hi], btype='band', fs=SAMPLE_RATE)
breath = scipy.signal.lfilter(bb, ab, breath)
wave += breath
elif tape == "choir":
# Ghostly vocal pad: formant-shaped harmonics with slow drift
formants = [
(800, 100), # first formant ~'ah'
(1200, 120), # second formant
(2500, 200), # third formant
]
n_harmonics = min(20, int(nyquist / hz))
for n in range(1, n_harmonics + 1):
f_n = hz * n
if f_n >= nyquist:
break
amp = 1.0 / n
# Shape by formant peaks
for f_center, f_bw in formants:
amp *= 1.0 + 1.5 * numpy.exp(-((f_n - f_center) / f_bw) ** 2)
p = rng.uniform(0, 2 * numpy.pi)
wave += amp * numpy.sin(2 * numpy.pi * n * phase + p)
# Slow ensemble drift between "voices"
drift = 0.005 * numpy.sin(2 * numpy.pi * 0.15 * t + rng.uniform(0, 6.28))
wave2 = numpy.zeros(n_samples, dtype=numpy.float64)
phase2 = numpy.cumsum(hz * (1.0 + drift) * freq_ratio / SAMPLE_RATE)
for n in range(1, min(8, int(nyquist / hz)) + 1):
f_n = hz * n
if f_n >= nyquist:
break
amp = 0.6 / n
for f_center, f_bw in formants:
amp *= 1.0 + 1.5 * numpy.exp(-((f_n - f_center) / f_bw) ** 2)
wave2 += amp * numpy.sin(2 * numpy.pi * n * phase2 + rng.uniform(0, 6.28))
wave += wave2
else:
# Strings (default): layered ensemble with detuned unison
n_harmonics = min(25, int(nyquist / hz))
# Two "sections" slightly detuned for ensemble width
for section_detune in [-1.5, 0, 1.5]:
section_hz = hz * (2 ** (section_detune / 1200.0))
section_phase = numpy.cumsum(section_hz * freq_ratio / SAMPLE_RATE)
for n in range(1, n_harmonics + 1):
f_n = section_hz * n
if f_n >= nyquist:
break
# String-like: 1/n rolloff, even harmonics slightly weaker
amp = 1.0 / n
if n % 2 == 0:
amp *= 0.8
p = rng.uniform(0, 2 * numpy.pi)
wave += amp * numpy.sin(2 * numpy.pi * n * section_phase + p)
# Normalize before processing
mx = numpy.abs(wave).max()
if mx > 0:
wave /= mx
# --- Tape bandwidth limiting: 300 Hz 6 kHz ---
lo_cut = min(300, hz * 0.9) # don't cut fundamental
hi_cut = min(6000, nyquist * 0.95)
if lo_cut < hi_cut and lo_cut > 0:
bb, ab = scipy.signal.butter(2, [lo_cut, hi_cut], btype='band', fs=SAMPLE_RATE)
wave = scipy.signal.lfilter(bb, ab, wave)
# --- Tape saturation: soft compression ---
wave = numpy.tanh(wave * 1.4) / 1.2
# --- Tape run-out: gentle fadeout after ~7 seconds ---
if n_samples > int(SAMPLE_RATE * 7):
fadeout_start = int(SAMPLE_RATE * 7)
fadeout_len = n_samples - fadeout_start
fade = numpy.linspace(1.0, 0.0, fadeout_len)
wave[fadeout_start:] *= fade
# --- Head noise / tape hiss ---
hiss = rng.normal(0, 0.008, n_samples)
wave += hiss
mx = numpy.abs(wave).max()
if mx > 0:
wave /= mx
return (peak * wave).astype(numpy.int16)
def vibraphone_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE):
"""Vibraphone — struck aluminum bars with motor-driven tremolo.
@@ -1187,62 +1488,131 @@ def timpani_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE):
def saxophone_wave(hz, peak=SAMPLE_PEAK, n_samples=SAMPLE_RATE):
"""Saxophone — single reed through a conical brass bore.
"""Saxophone — single reed driving a conical brass bore.
The conical bore produces all harmonics (like oboe), but the
brass body and larger mouthpiece give a warmer, fatter, more
vocal quality. The reed adds a slight buzz. Saxophone is
between clarinet (odd harmonics) and oboe (nasal even+odd)
it has everything, with a strong fundamental and rich mids.
Models the key acoustic properties of a saxophone:
1. Reed-bore interaction nonlinear clipping creates the characteristic
bright, edgy tone (not just additive sines)
2. Conical bore formants vocal-like resonances at ~500, ~1400, ~2300,
~3200 Hz that give sax its singing quality
3. Breath noise turbulent airflow through the mouthpiece, strongest
at attack and blending into sustained tone
4. Sub-harmonic warmth the conical bore's coupling creates warmth
below the fundamental
5. Vibrato delayed onset, ~5 Hz, characteristic of jazz/classical sax
"""
import scipy.signal as _sig
t = numpy.arange(n_samples, dtype=numpy.float64) / SAMPLE_RATE
rng = numpy.random.default_rng(int(hz * 100) % 2**31)
# Vibrato develops after ~250ms, wider than flute
vib_onset = numpy.clip(t / 0.25, 0.0, 1.0)
vib = hz * 0.0012 * vib_onset * numpy.sin(2 * numpy.pi * 5.2 * t)
# --- Vibrato: delayed onset, subtle depth ---
vib_onset = numpy.clip((t - 0.3) / 0.3, 0.0, 1.0)
vib_rate = 5.0 + 0.15 * numpy.sin(2 * numpy.pi * 0.4 * t)
vib = hz * 0.0006 * vib_onset * numpy.sin(2 * numpy.pi * vib_rate * t)
# --- Core tone: sawtooth-like waveform with reed clipping ---
# Real sax reed creates a quasi-sawtooth pressure wave, not pure sines.
# Build from harmonics with sax-specific spectral envelope, then clip.
wave = numpy.zeros(n_samples, dtype=numpy.float64)
n_harmonics = min(20, int((SAMPLE_RATE / 2) / hz))
n_harmonics = min(25, int((SAMPLE_RATE / 2) / hz))
for n in range(1, n_harmonics + 1):
f_n = hz * n
if f_n >= SAMPLE_RATE / 2:
break
# Sax spectral shape: strong fundamental, broad mid peak (3-6),
# slower rolloff than oboe (brass body carries harmonics further)
# Saxophone spectral envelope from acoustic measurements:
# Strong fundamental, nearly-as-strong 2nd and 3rd harmonics,
# broad energy peak around harmonics 4-8 (the "body"), then
# gradual rolloff — but slower than other woodwinds (brass bore
# sustains upper partials).
if n == 1:
amp = 1.0
elif n <= 3:
amp = 0.6
elif n <= 6:
amp = 0.4 * numpy.exp(-0.1 * (n - 4) ** 2)
elif n == 2:
amp = 0.85
elif n == 3:
amp = 0.7
elif n <= 8:
# Broad mid peak — this is the sax "meat"
amp = 0.55 * numpy.exp(-0.06 * (n - 5) ** 2)
else:
amp = 0.2 / n
# Slower rolloff than oboe/clarinet
amp = 0.35 / (n ** 0.7)
# Slight even/odd asymmetry — conical bore has all harmonics
# but evens are ~10% weaker (midway between cylinder and cone)
if n % 2 == 0:
amp *= 0.9
phase = rng.uniform(0, 2 * numpy.pi)
wave += amp * numpy.sin(2 * numpy.pi * (f_n + vib * n) * t + phase)
# Reed buzz — more present than oboe but still warm
reed = rng.normal(0, 0.07, n_samples)
# Bandpass the reed noise around 1-3kHz (the "honk" range)
import scipy.signal as _sig
reed_lo = max(20, int(hz * 2))
reed_hi = min(SAMPLE_RATE // 2 - 1, int(hz * 6))
# --- Reed nonlinearity: soft clipping ---
# The reed closes against the mouthpiece, creating asymmetric clipping
# that adds brightness and "edge". This is what makes sax sound like
# sax and not a flute.
wave_max = numpy.abs(wave).max()
if wave_max > 0:
wave /= wave_max
# Asymmetric soft clip: positive peaks clip harder (reed closure)
wave = numpy.tanh(1.8 * wave) * 0.7 + numpy.tanh(2.5 * wave) * 0.3
# --- Formant resonances: conical bore creates vocal quality ---
# These fixed resonances are what make sax sound "vocal" — they
# emphasize certain frequency bands regardless of the note played.
formant_freqs = [520, 1380, 2300, 3200]
formant_bws = [120, 200, 280, 350]
formant_gains = [0.25, 0.18, 0.12, 0.08]
formant_sum = numpy.zeros(n_samples, dtype=numpy.float64)
for fc, bw, gain in zip(formant_freqs, formant_bws, formant_gains):
lo = max(20, int(fc - bw))
hi = min(SAMPLE_RATE // 2 - 1, int(fc + bw))
if lo < hi:
bf, af = _sig.butter(2, [lo, hi], btype='band', fs=SAMPLE_RATE)
formant_sum += _sig.lfilter(bf, af, wave) * gain
wave = wave * 0.7 + formant_sum
# --- Breath noise: turbulent air through the mouthpiece ---
# Strongest at the attack, then settles to a subtle constant hiss
# that gives the tone "life" and prevents it from sounding synthetic.
breath = rng.normal(0, 1.0, n_samples)
# Shape breath noise into the sax's "hiss" band (2-6 kHz)
breath_lo = max(20, 2000)
breath_hi = min(SAMPLE_RATE // 2 - 1, 6000)
if breath_lo < breath_hi:
bb, ab = _sig.butter(2, [breath_lo, breath_hi], btype='band', fs=SAMPLE_RATE)
breath = _sig.lfilter(bb, ab, breath)
# Attack envelope for breath — strong at onset, then quiet
breath_env = 0.15 * numpy.exp(-8.0 * t) + 0.03
wave += breath * breath_env
# --- Reed buzz: low-frequency interaction noise ---
# Different from breath — this is the "buzz" from reed vibration
# against the mouthpiece, centered around the playing frequency.
reed_noise = rng.normal(0, 1.0, n_samples)
reed_lo = max(20, int(hz * 0.8))
reed_hi = min(SAMPLE_RATE // 2 - 1, int(hz * 4))
if reed_lo < reed_hi:
br, ar = _sig.butter(2, [reed_lo, reed_hi], btype='band', fs=SAMPLE_RATE)
reed = _sig.lfilter(br, ar, reed).astype(numpy.float64) * 2.0
wave += reed
reed_noise = _sig.lfilter(br, ar, reed_noise) * 0.06
wave += reed_noise
# Brass body warmth — low-mid boost
center = min(1500, hz * 4)
bw = 500
lo = max(20, int(center - bw))
hi = min(SAMPLE_RATE // 2 - 1, int(center + bw))
if lo < hi:
bp, ap = _sig.butter(2, [lo, hi], btype='band', fs=SAMPLE_RATE)
body = _sig.lfilter(bp, ap, wave) * 0.2
wave += body
# --- Attack transient: key click + breath burst ---
attack_len = min(int(SAMPLE_RATE * 0.015), n_samples)
if attack_len > 0:
click = rng.uniform(-1.0, 1.0, attack_len)
click *= numpy.exp(-numpy.linspace(0, 8, attack_len))
wave[:attack_len] += click * 0.12
# --- Sub-harmonic warmth ---
# Conical bore coupling produces energy slightly below fundamental
if hz > 80: # only if there's room
sub = numpy.sin(2 * numpy.pi * (hz * 0.5) * t) * 0.04
sub *= numpy.clip(t / 0.1, 0.0, 1.0) # fade in gently
wave += sub
# --- Final shaping ---
mx = numpy.abs(wave).max()
if mx > 0:
wave /= mx
@@ -2384,6 +2754,16 @@ class Synth(Enum):
TINGSHA = "tingsha_synth"
SINGING_BOWL_STRIKE = "singing_bowl_strike_synth"
SINGING_BOWL_RING = "singing_bowl_ring_synth"
RHODES = "rhodes_synth"
WURLITZER = "wurlitzer_synth"
VIBRAPHONE = "vibraphone_synth"
PIPE_ORGAN = "pipe_organ_synth"
CHOIR = "choir_synth"
MELLOTRON = "mellotron_synth"
HARD_SYNC = "hard_sync"
RING_MOD = "ring_mod"
WAVEFOLD = "wavefold"
DRIFT = "drift"
def __call__(self, hz, **kwargs):
"""Make Synth members callable — dispatches to the wave function."""
@@ -2418,11 +2798,14 @@ _SYNTH_FUNCTIONS = {
"tingsha_synth": tingsha_wave,
"singing_bowl_strike_synth": singing_bowl_strike_wave,
"singing_bowl_ring_synth": singing_bowl_ring_wave,
"mellotron_synth": mellotron_wave,
"hard_sync": hard_sync_wave, "ring_mod": ring_mod_wave,
"wavefold": wavefold_wave, "drift": drift_wave,
}
def _render(tone_or_chord, temperament="equal", synth=Synth.SINE, t=1_000,
envelope=Envelope.PIANO):
envelope=Envelope.PIANO, **synth_kw):
"""Render a tone or chord to a NumPy sample array.
Args:
@@ -2434,6 +2817,9 @@ def _render(tone_or_chord, temperament="equal", synth=Synth.SINE, t=1_000,
t: Duration in milliseconds.
envelope: ADSR envelope preset. Use ``Envelope.NONE`` for raw
output (old behavior).
**synth_kw: Extra keyword arguments forwarded to the synth wave
function (e.g. ``tape="flute"`` for Mellotron,
``slave_ratio=2.0`` for Hard Sync).
Returns:
A NumPy int16 array of audio samples.
@@ -2441,10 +2827,10 @@ def _render(tone_or_chord, temperament="equal", synth=Synth.SINE, t=1_000,
n_samples = int(SAMPLE_RATE * t / 1_000)
if isinstance(tone_or_chord, Tone):
waves = [synth(tone_or_chord.pitch(temperament=temperament), n_samples=n_samples)]
waves = [synth(tone_or_chord.pitch(temperament=temperament), n_samples=n_samples, **synth_kw)]
else:
waves = [
synth(tone.pitch(temperament=temperament), n_samples=n_samples)
synth(tone.pitch(temperament=temperament), n_samples=n_samples, **synth_kw)
for tone in tone_or_chord.tones
]
@@ -2459,7 +2845,7 @@ def _render(tone_or_chord, temperament="equal", synth=Synth.SINE, t=1_000,
def play(tone_or_chord, temperament="equal", synth=Synth.SINE, t=1_000,
envelope=Envelope.PIANO):
envelope=Envelope.PIANO, **synth_kw):
"""Play a tone or chord through the speakers.
Args:
@@ -2471,19 +2857,22 @@ def play(tone_or_chord, temperament="equal", synth=Synth.SINE, t=1_000,
t: Duration in milliseconds (default 1000).
envelope: ADSR envelope preset (default ``Envelope.PIANO``).
Use ``Envelope.NONE`` for raw waveform.
**synth_kw: Extra keyword arguments forwarded to the synth wave
function (e.g. ``tape="flute"`` for Mellotron).
Example::
>>> play(Tone.from_string("A4"), t=1_000)
>>> play(Chord.from_name("Am7"), synth=Synth.TRIANGLE, t=2_000)
>>> play(tone, envelope=Envelope.PAD, t=3_000)
>>> play(tone, synth=Synth.MELLOTRON, tape="choir", t=2_000)
"""
_play_for(_render(tone_or_chord, temperament=temperament, synth=synth,
t=t, envelope=envelope), ms=t)
t=t, envelope=envelope, **synth_kw), ms=t)
def save(tone_or_chord, path, temperament="equal", synth=Synth.SINE, t=1_000,
envelope=Envelope.PIANO):
envelope=Envelope.PIANO, **synth_kw):
"""Render a tone or chord and save it as a WAV file.
Args:
@@ -2493,6 +2882,8 @@ def save(tone_or_chord, path, temperament="equal", synth=Synth.SINE, t=1_000,
synth: Waveform type.
t: Duration in milliseconds (default 1000).
envelope: ADSR envelope preset (default ``Envelope.PIANO``).
**synth_kw: Extra keyword arguments forwarded to the synth wave
function.
Example::
@@ -2502,7 +2893,7 @@ def save(tone_or_chord, path, temperament="equal", synth=Synth.SINE, t=1_000,
import scipy.io.wavfile
samples = _render(tone_or_chord, temperament=temperament, synth=synth,
t=t, envelope=envelope)
t=t, envelope=envelope, **synth_kw)
normalized = samples.astype(numpy.float32) / SAMPLE_PEAK
# Convert to 16-bit PCM
pcm = (normalized * 32767).astype(numpy.int16)
@@ -5503,8 +5894,8 @@ def render_score(score):
env_tuple = _resolve_envelope(part.envelope)
# Use part swing if set, otherwise score swing
effective_swing = part.swing if part.swing is not None else score.swing
# Build synth-specific kwargs (e.g. FM ratio/index)
synth_kwargs = {}
# Build synth-specific kwargs (e.g. FM ratio/index, tape, folds)
synth_kwargs = dict(getattr(part, 'synth_kw', None) or {})
if part.synth in ("fm",):
synth_kwargs["mod_ratio"] = part.fm_ratio
synth_kwargs["mod_index"] = part.fm_index

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