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https://github.com/kennethreitz/pytheory.git
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kennethreitz
9da3ac8b28
- circle_of_fifths.py — visualize keys around the circle - chord_identifier.py — identify chords from notes and fingerings - key_explorer.py — explore keys, signatures, progressions, borrowed chords - temperament_comparison.py — compare equal, Pythagorean, and meantone - chord_tension.py — analyze tension, consonance, and voice leading - world_scales.py — scales from 6 musical traditions - fretboard_explorer.py — instruments, tunings, capo transposition - midi_converter.py — MIDI ↔ note ↔ frequency reference - progression_writer.py — famous progressions, Nashville numbers, random generation - interval_trainer.py — interval names, songs, and consonance ranking - overtone_series.py — harmonics and why chords sound good - key_detection.py — detect keys from melodies and chord progressions Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
94 lines
3.2 KiB
Python
94 lines
3.2 KiB
Python
"""Learn intervals — names, sounds, and relationships."""
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from pytheory import Tone, Chord, Interval
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c4 = Tone.from_string("C4", system="western")
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# ── Interval Reference ──────────────────────────────────────────────────
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print("Interval Reference (from C4)")
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print("=" * 70)
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print()
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print(f"{'Semitones':>10s} {'Note':>5s} {'Interval Name':>18s} {'Sound / Song'}")
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print(f"{'─' * 10} {'─' * 5} {'─' * 18} {'─' * 30}")
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songs = {
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0: "Same note",
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1: "Jaws",
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2: "Happy Birthday",
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3: "Greensleeves",
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4: "Here Comes the Sun",
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5: "Here Comes the Bride",
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6: "The Simpsons",
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7: "Star Wars (main theme)",
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8: "Love Story",
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9: "My Bonnie Lies Over the Ocean",
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10: "Somewhere (West Side Story)",
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11: "Take On Me (chorus)",
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12: "Somewhere Over the Rainbow",
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}
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for semitones in range(13):
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tone = c4 + semitones
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name = c4.interval_to(tone)
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song = songs.get(semitones, "")
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print(f"{semitones:>10d} {tone.name:>5s} {name:>18s} {song}")
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# ── Interval Constants ──────────────────────────────────────────────────
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print()
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print("Interval Constants (pytheory.Interval)")
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print("=" * 40)
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constants = [
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("UNISON", Interval.UNISON),
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("MINOR_SECOND", Interval.MINOR_SECOND),
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("MAJOR_SECOND", Interval.MAJOR_SECOND),
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("MINOR_THIRD", Interval.MINOR_THIRD),
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("MAJOR_THIRD", Interval.MAJOR_THIRD),
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("PERFECT_FOURTH", Interval.PERFECT_FOURTH),
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("TRITONE", Interval.TRITONE),
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("PERFECT_FIFTH", Interval.PERFECT_FIFTH),
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("MINOR_SIXTH", Interval.MINOR_SIXTH),
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("MAJOR_SIXTH", Interval.MAJOR_SIXTH),
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("MINOR_SEVENTH", Interval.MINOR_SEVENTH),
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("MAJOR_SEVENTH", Interval.MAJOR_SEVENTH),
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("OCTAVE", Interval.OCTAVE),
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]
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for name, value in constants:
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print(f" Interval.{name:16s} = {value}")
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# ── Compound Intervals ─────────────────────────────────────────────────
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print()
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print("Compound Intervals (beyond one octave)")
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print("=" * 50)
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for semitones in [13, 14, 15, 16, 19, 24]:
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tone = c4 + semitones
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name = c4.interval_to(tone)
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print(f" {semitones:2d} semitones {tone.full_name:5s} {name}")
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# ── Consonance Ranking ──────────────────────────────────────────────────
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print()
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print("Intervals Ranked by Consonance")
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print("=" * 50)
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intervals = []
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for semitones in range(1, 13):
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tone = c4 + semitones
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dyad = Chord.from_tones("C", tone.name)
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name = c4.interval_to(tone)
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intervals.append((dyad.harmony, dyad.dissonance, semitones, name))
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# Sort by harmony score (descending)
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intervals.sort(key=lambda x: x[0], reverse=True)
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print(f"{'Rank':>5s} {'Interval':>18s} {'Harmony':>8s} {'Dissonance':>11s}")
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print(f"{'─' * 5} {'─' * 18} {'─' * 8} {'─' * 11}")
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for rank, (harmony, dissonance, _, name) in enumerate(intervals, 1):
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print(f"{rank:>5d} {name:>18s} {harmony:>8.4f} {dissonance:>11.4f}")
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