Sequencing
==========

The sequencing system lets you compose multi-part arrangements with
durations, time signatures, and instrument voices. This is where
PyTheory goes from theory tool to composition tool.

At the center of everything is the ``Score``. Think of it as your
arrangement, your song, your sketch pad. It holds the tempo, the time
signature, the drum pattern, and every instrument part you create. If
you've ever used a DAW, the Score is your session file. If you haven't,
it's the sheet of paper where the whole piece lives. Everything you
compose -- melodies, chord progressions, bass lines, arpeggios -- gets
added to a Score before you can hear it, export it, or do anything
useful with it.

Duration
--------

In music, all rhythm boils down to one convention: the quarter note
equals one beat. Everything else is relative to that. A whole note is
four beats. An eighth note is half a beat. This is how musicians have
communicated timing for centuries, and it's how PyTheory works too.
Once you internalize "quarter note = 1 beat," durations become
intuitive arithmetic.

A ``Duration`` represents a note length in beats (quarter note = 1 beat):

.. code-block:: pycon

   >>> from pytheory import Duration

   >>> Duration.WHOLE.value
   4.0
   >>> Duration.HALF.value
   2.0
   >>> Duration.QUARTER.value
   1.0
   >>> Duration.EIGHTH.value
   0.5
   >>> Duration.SIXTEENTH.value
   0.25
   >>> Duration.DOTTED_HALF.value
   3.0
   >>> Duration.DOTTED_QUARTER.value
   1.5
   >>> Duration.TRIPLET_QUARTER.value
   0.6666666666666666

Time Signatures
---------------

If you're not a musician, time signatures can seem mysterious. They're
not. The top number tells you how many beats are in a bar. The bottom
number tells you which note value gets one beat. That's it.

In practice, you only need to know a handful:

- **4/4** -- four beats per bar. This is the default. Almost all pop,
  rock, hip hop, electronic, and R&B music is in 4/4. If you're not
  sure, use this.
- **3/4** -- three beats per bar. The waltz feel. Think "Blue Danube"
  or Radiohead's "Everything in Its Right Place."
- **6/8** -- six eighth notes per bar, grouped in two sets of three.
  Each group feels like one big swaying beat. Folk music, slow jams,
  ballads.
- **12/8** -- twelve eighth notes per bar, grouped in four sets of
  three. The slow blues shuffle, the gospel feel, "At Last" by Etta
  James. Each "big beat" has a triplet swing baked into it.

A ``TimeSignature`` holds the meter of a piece -- how many beats per
measure and which note value gets one beat:

.. code-block:: pycon

   >>> from pytheory.rhythm import TimeSignature

   >>> ts = TimeSignature.from_string("4/4")
   >>> ts.beats_per_measure
   4.0

   >>> TimeSignature.from_string("3/4").beats_per_measure
   3.0

   >>> TimeSignature.from_string("6/8").beats_per_measure
   3.0

   >>> TimeSignature.from_string("12/8").beats_per_measure
   6.0

The ``beats_per_measure`` is always in quarter-note units. In 6/8,
there are 6 eighth notes per bar = 3 quarter-note beats. In 12/8,
12 eighth notes = 6 quarter-note beats, grouped in four dotted-quarter
pulses.

Score Basics
------------

A ``Score`` is a sequence of notes and rests with a time signature and
tempo. Use ``.add()`` and ``.rest()`` for fluent chaining:

.. code-block:: python

   from pytheory import Score, Duration, Tone

   score = Score("4/4", bpm=120)
   score.add(Tone.from_string("C4", system="western"), Duration.QUARTER)
   score.add(Tone.from_string("E4", system="western"), Duration.QUARTER)
   score.add(Tone.from_string("G4", system="western"), Duration.HALF)

.. code-block:: pycon

   >>> score.total_beats
   4.0
   >>> score.measures
   1.0
   >>> score.duration_ms
   2000.0

Rests
~~~~~

Add silence with ``.rest()``:

.. code-block:: python

   score = Score("4/4", bpm=120)
   score.add(Tone.from_string("C4", system="western"), Duration.HALF)
   score.rest(Duration.HALF)

.. code-block:: pycon

   >>> score.measures
   1.0

Chords
~~~~~~

Chords work just like tones — pass any ``Chord`` object:

.. code-block:: python

   from pytheory import Score, Duration, Key

   key = Key("C", "major")
   chords = key.progression("I", "V", "vi", "IV")

   score = Score("4/4", bpm=120)
   for chord in chords:
       score.add(chord, Duration.WHOLE)

.. code-block:: pycon

   >>> score.measures
   4.0
   >>> score.duration_ms
   8000.0

Compound Time
~~~~~~~~~~~~~

12/8 is a compound meter — 12 eighth notes per bar grouped in four
groups of three. Each group feels like one "big beat":

.. code-block:: python

   from pytheory import Score, Duration, Key

   key = Key("A", "minor")
   chords = key.random_progression(4)

   score = Score("12/8", bpm=120)
   for c in chords:
       score.add(c, Duration.DOTTED_HALF)
       score.add(c, Duration.DOTTED_HALF)

.. code-block:: pycon

   >>> score.measures
   4.0

Parts
-----

Parts are like tracks in a DAW. Each one has its own instrument sound
(synth waveform + envelope), its own volume level, and its own effects
chain. When you call ``play_score()``, all the parts get mixed together
into a single audio stream -- just like hitting play in Logic or
Ableton. You might have a pad part holding down chords, a lead part
playing a melody, and a bass part holding down the low end. Each one
is independent: different synth, different envelope, different effects.

The ``Part`` class lets you layer multiple instrument voices -- each with
its own synth waveform, ADSR envelope, and volume level. Create parts
with ``Score.part()``:

.. code-block:: python

   from pytheory import Score, Key, Duration, Chord
   from pytheory.play import play_score

   score = Score("4/4", bpm=140)

   chords = score.part("chords", synth="sine", envelope="pad", volume=0.35)
   lead = score.part("lead", synth="saw", envelope="pluck", volume=0.5)
   bass = score.part("bass", synth="triangle", envelope="pluck", volume=0.45)

Adding Notes to Parts
~~~~~~~~~~~~~~~~~~~~~

Parts accept note strings directly — no need to wrap in
``Tone.from_string()``. ``.add()`` and ``.rest()`` return self for
fluent chaining:

.. code-block:: python

   lead.add("E5", Duration.QUARTER).add("D5", Duration.EIGHTH).rest(Duration.EIGHTH)

Raw float beats work too — useful for swing and tuplets:

.. code-block:: python

   lead.add("C5", 0.67).add("B4", 0.33).add("A4", 1.0)

Chords and Tone objects work the same way:

.. code-block:: python

   for chord in Key("A", "minor").progression("i", "iv", "V", "i"):
       chords.add(chord, Duration.WHOLE)

   for note in ["A2", "C3", "E3", "A2", "D2", "F2", "A2", "D2"]:
       bass.add(note, Duration.QUARTER)

Arpeggiator
------------

An arpeggiator takes a chord and plays its notes one at a time, in a
pattern, automatically. You hold down a chord and it ripples through
the notes -- up, down, up-and-down, random. It's one of the most
iconic sounds in electronic music. The bubbly bass lines of acid house,
the cascading runs of 80s synth pop (think "Jump" or "Take On Me"),
the hypnotic patterns of trance -- all arpeggiators. It turns a simple
three-note chord into a rhythmic, melodic engine.

``Part.arpeggio()`` takes a chord and sequences through its notes
automatically -- like a hardware arpeggiator on a synth:

.. code-block:: python

   lead = score.part(
       "lead",
       synth="saw",
       legato=True,
       glide=0.03,
       distortion=0.8,
       lowpass=1000,
       lowpass_q=5.0,
   )
   lead.arpeggio(
       Chord.from_symbol("Cm"),
       bars=2,
       pattern="up",
       division=Duration.SIXTEENTH,
       octaves=2,
   )

Parameters:

- ``chord``: A Chord object or string like ``"Am"``.
- ``bars``: Number of bars to fill (default 1).
- ``pattern``: ``"up"``, ``"down"``, ``"updown"``, ``"downup"``, ``"random"``.
- ``division``: Step length (default ``Duration.SIXTEENTH``).
- ``octaves``: Octave span (default 1). With 2, the pattern repeats one octave up.

Chain arpeggios through a progression:

.. code-block:: python

   for sym in ["Cm", "Fm", "Abm", "Gm"]:
       lead.arpeggio(sym, bars=2, pattern="updown", octaves=2)

Combined with legato, glide, distortion, and a resonant lowpass, this
produces the classic acid/trance arpeggiator sound.

Legato and Glide
----------------

Normally, every note you play has its own life cycle -- the sound
attacks, sustains, and releases before the next note begins. You hear
each note as a separate event. Legato changes that. The Italian word
means "tied together," and that's exactly what it does: the envelope
flows continuously from one note to the next with no retriggering. The
pitch changes, but the sound never dies and restarts.

Glide (also called portamento) takes this further. Instead of the pitch
jumping instantly from one note to the next, it *slides* -- a smooth,
continuous pitch sweep. This is THE sound of the Roland TB-303, the
little silver box that accidentally invented acid house. A saw wave
with legato, glide, a resonant lowpass filter, and some distortion --
that's the entire genre right there.

By default, each note gets its own attack/release envelope. ``legato=True``
renders the entire part as one continuous waveform -- the pitch changes
at note boundaries but the envelope flows unbroken. Add ``glide`` for
portamento (pitch slides between notes):

.. code-block:: python

   acid = score.part(
       "acid",
       synth="saw",
       envelope="pad",
       legato=True,
       glide=0.04,
   )
   acid.add("C2", 0.25).add("C3", 0.25).add("G2", 0.25).add("C2", 0.25)

- ``legato``: If True, no envelope retrigger between notes (default False).
- ``glide``: Portamento time in seconds (default 0, instant).
  0.03--0.05 = quick 303 slide, 0.1--0.2 = slow glide.

Complete Example
----------------

A full multi-part arrangement built from scratch — bossa nova with FM
rhodes, triangle lead, and filtered bass:

.. code-block:: python

   from pytheory import Score, Pattern, Key, Duration, Chord
   from pytheory.play import play_score

   score = Score("4/4", bpm=140)
   score.drums("bossa nova", repeats=4)

   # FM rhodes with reverb
   rhodes = score.part(
       "rhodes",
       synth="fm",
       envelope="piano",
       volume=0.3,
       reverb=0.4,
       reverb_decay=1.8,
   )

   # Triangle lead with delay
   lead = score.part(
       "lead",
       synth="triangle",
       envelope="pluck",
       volume=0.45,
       delay=0.25,
       delay_time=0.32,
       delay_feedback=0.35,
       reverb=0.2,
   )

   # Filtered bass
   bass = score.part(
       "bass",
       synth="sine",
       envelope="pluck",
       volume=0.45,
       lowpass=600,
   )

   for sym in ["Am", "Am", "Dm", "Dm", "E7", "E7", "Am", "Am"]:
       rhodes.add(Chord.from_symbol(sym), Duration.WHOLE)

   for n, d in [
       ("E5", 0.67), ("D5", 0.33), ("C5", 0.67), ("B4", 0.33),
       ("A4", 1), ("C5", 0.67), ("E5", 0.33), ("D5", 0.67), ("C5", 0.33),
       ("A4", 1),
   ]:
       lead.add(n, d)

   for n in ["A2", "E2", "A2", "C3", "D2", "A2", "D2", "F2"]:
       bass.add(n, Duration.QUARTER)

   play_score(score)

Velocity
--------

Real music has dynamics — accents are louder, ghost notes are barely
there, phrases crescendo and decrescendo. Every note can have its own
velocity (1–127, where 100 is the default):

.. code-block:: python

   lead.add("C5", Duration.QUARTER, velocity=120)   # loud accent
   lead.add("D5", Duration.QUARTER, velocity=40)    # ghost note
   lead.add("E5", Duration.QUARTER)                 # default (100)

The arpeggiator also accepts velocity:

.. code-block:: python

   lead.arpeggio("Am", bars=2, pattern="up", velocity=80)

Swing and Groove
----------------

Perfectly quantized music sounds robotic. Swing delays every other
subdivision by a percentage, giving the rhythm a human, shuffled feel.
Jazz swings hard. Bossa nova swings gently. Hip hop has its own pocket.

Set swing on the Score (applies to everything) or per-Part:

.. code-block:: python

   # Triplet swing — lazy jazz feel
   score = Score("4/4", bpm=100, swing=0.55)

   # Per-part override — the lead swings harder than the bass
   lead = score.part("lead", synth="saw", swing=0.6)
   bass = score.part("bass", synth="sine", swing=0.4)

Swing values:

- **0.0** = perfectly straight (default)
- **0.3** = subtle shuffle (pop, R&B)
- **0.5** = triplet feel (jazz, blues)
- **0.67** = hard swing (bebop)

Tempo Changes
-------------

Real music doesn't stay at one tempo. Songs speed up for energy,
slow down for endings, and sometimes shift abruptly. Use
``score.set_tempo()`` to change BPM at the current position:

.. code-block:: python

   score = Score("4/4", bpm=90)

   # Verse: slow and moody
   lead.add("D5", Duration.WHOLE)
   lead.add("F5", Duration.WHOLE)

   # Chorus: speeds up
   score.set_tempo(110)
   lead.add("A5", Duration.WHOLE)
   lead.add("D6", Duration.WHOLE)

   # Outro: slows way down
   score.set_tempo(70)
   lead.add("D5", Duration.WHOLE)

The tempo map engine handles the math — beat positions are converted
to sample positions accounting for every tempo change.

Fades
-----

``Part.fade_in()`` and ``Part.fade_out()`` ramp the volume over a
number of bars. They work by generating automation points, so they
integrate naturally with the rest of the automation system:

.. code-block:: python

   pad = score.part(
       "pad",
       synth="supersaw",
       envelope="pad",
       volume=0.3,
       reverb=0.5,
   )

   # Fade in over first 4 bars
   pad.fade_in(bars=4)
   for chord in chords:
       pad.add(chord, Duration.WHOLE)

   # Fade out over last 2 bars
   pad.fade_out(bars=2)
   pad.rest(Duration.WHOLE)
   pad.rest(Duration.WHOLE)

Humanize
--------

Perfectly quantized music sounds like a machine made it — because it
did. Real musicians are never exactly on the beat. Their timing drifts
by a few milliseconds, their velocity varies from note to note. These
imperfections are what make music feel *alive*.

The ``humanize`` parameter adds random micro-variations in both timing
and velocity at render time. The score data stays clean and
deterministic — the randomness is only applied during playback.

.. code-block:: python

   # Subtle — like a very tight session player
   lead = score.part("lead", synth="saw", humanize=0.1)

   # Natural — like a good live take
   rhodes = score.part("rhodes", synth="fm", humanize=0.3)

   # Loose — like a late-night jam after a few drinks
   bass = score.part("bass", synth="sine", humanize=0.5)

Humanize values:

- **0.0** = perfectly quantized (default)
- **0.1** = subtle, studio-tight
- **0.2–0.3** = natural, like a real player
- **0.4–0.5** = loose, relaxed, human
- **0.6+** = sloppy (sometimes that's what you want)

Combine with swing for the most realistic feel:

.. code-block:: python

   score = Score("4/4", bpm=95, swing=0.45)
   lead = score.part(
       "lead",
       synth="saw",
       envelope="pluck",
       humanize=0.3,
       delay=0.2,
       reverb=0.25,
   )

Song Structure
--------------

Real songs aren't one long stream of notes — they have verses,
choruses, bridges, drops. The section system lets you name blocks
of your arrangement, then repeat them without rewriting everything.

This is how actual songwriting works: you write a verse, you write
a chorus, then you arrange them — verse, verse, chorus, verse,
chorus, chorus, outro. The sections are the building blocks;
the arrangement is the order you play them in.

Define sections with ``score.section()`` and repeat them with
``score.repeat()``:

.. code-block:: python

   score = Score("4/4", bpm=124)
   score.drums("house", repeats=16)

   pad = score.part("pad", synth="supersaw", envelope="pad")
   lead = score.part("lead", synth="saw", envelope="pluck")
   bass = score.part("bass", synth="sine", lowpass=300)

   # ── Define the verse ──
   score.section("verse")
   for sym in ["Cm", "Ab", "Eb", "Bb"]:
       pad.add(Chord.from_symbol(sym), Duration.WHOLE)
   lead.add("C5", 1).add("Eb5", 1).rest(2)
   for n in ["C1", "C1", "Ab0", "Ab0", "Eb1", "Eb1", "Bb0", "Bb0"]:
       bass.add(n, Duration.HALF)

   # ── Define the chorus ──
   score.section("chorus")
   lead.set(lowpass=5000, reverb=0.3)
   for sym in ["Cm", "Fm", "Ab", "Gm"]:
       pad.add(Chord.from_symbol(sym), Duration.WHOLE)
   lead.add("C6", 1).add("Bb5", 1).add("G5", 1).rest(1)
   for n in ["C1", "C1", "F1", "F1", "Ab0", "Ab0", "G1", "G1"]:
       bass.add(n, Duration.HALF)
   score.end_section()

   # ── Arrange: verse, chorus, verse, chorus, chorus ──
   score.repeat("verse")
   score.repeat("chorus")
   score.repeat("verse")
   score.repeat("chorus", times=2)

Use any names you want — ``"intro"``, ``"verse"``, ``"chorus"``,
``"bridge"``, ``"drop"``, ``"breakdown"``, ``"outro"``, or anything
that makes sense for your song. The names are just labels.