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Pc Set Sequence

An ordered sequence of pitch class sets that may contain duplicates

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Resolve a progression in a key

Roman numerals describe functions relative to a selected key. Change the key to reinterpret the same numerals, or transpose the resulting MIDI notes by a fixed number of semitones. These are different operations.

Transpose0 st
CC♯DD♯EFF♯GG♯AA♯B4

Selected chord: Cmaj7 · octave-free set

Key

C major

Scale notes

C-D-E-F-G-A-B

Pitch classes

0-4-7-11

Resolved chord symbols (before shift)

Cmaj7 - G7 - Am7 - Fmaj7

C is the tonic; major supplies the scale. Roman numerals resolve to diatonic seventh chords where available. The semitone control moves the resolved notes after that interpretation.

Written forms

Ways to write this concept

Each notation describes the same underlying object. Open an example to see it in every other notation, or load it to hear one MIDI realization in the Code Sequencer.

binary

Open guide

Sequence of binary pc-set representations

numbers

Open guide

Sequence of pc-set number representations

timed

Open guide

The same progression with durations committed — comma-separated pcSet:duration pairs (pitch classes 0–11, duration in beats). Timing is a notation of the one concept, not a separate concept.

roman

Open guide

Roman numeral notation, when applicable

quality

Sequence of quality names, when applicable

  • maj-maj-maj
  • min-dom-maj
Choose Load beside a convertible example to open its live player. Some catalog formats describe analysis or a display label and have no note realization yet.

Concept connections

Note Set SequenceAn ordered sequence of note sets (chords) that may contain duplicatesSong formA chord progression arranged by labeled section (intro, verse, chorus, bridge…) — the harmonic skeleton of a lead sheet or guitar-chord chart. An ordered, named sequence whose sections are chord progressions (its `groupOf` is note-set-sequence). Forget the labels/order and it becomes a collection of progressions; forget pitch and it becomes a point-song-form (a key-independent structural shape for comparing songs).Point Set SequenceAn ordered sequence of point-sets that may contain duplicatesPoint song formA song form reduced to non-pitch-specific shapes — section labels and order are kept, but each chord is a point-set (offsets, no key). This is the transposition-invariant structural fingerprint of a song: two songs in different keys with the same form land on the same point-song-form, so it is the natural representation for song-to-song similarity. Its `groupOf` is point-set-sequence.Pitch-class sequenceAn ordered line of pitch classes without fixed octaves. Choose registers to turn it into MIDI notes.Pc scoreAn octave-free polyphonic texture — simultaneous pc-sequences (lines of pitch classes). The octaveless abstraction of a score; keeps voice independence and harmony but drops register. Its `groupOf` is pc-sequence.
Sources and playback

Concept descriptions and examples were adapted from Maru Mono’s typed catalog and concept examples. The Code Sequencer plays MIDI through a connected instrument; Symbolic does not synthesize sound.