structural / Symbolic
Pc Set Collection
An unordered collection of unique pitch class sets
How it works
It identifies pitch independently of octave. Playback needs a register or voicing.
It groups pc set objects without requiring an order.
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
Set of binary pc-set representations
100010111101,100010010101100010010000,100010111101{100010111101,100010010101}{100010010000,100010111101}
numbers
Set of pc-set number representations
0-4-7,0-3-70-4-7,2-5-9{0-4-7,0-3-7}{0-4-7,2-5-9}
quality
Set of traditional quality names, when applicable
maj,min,dimmaj7,min7,dom7{maj,min,dim}{maj7,min7,dom7}
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 CollectionAn unordered collection of unique note setsNote Set Sequence CollectionAn unordered collection of chord progressions — e.g. a songbook of changes or a library of progressions. A meta-group: a group of groups, whose `groupOf` is note-set-sequence (one level up from a note-set-collection).Point Set CollectionA collection of interval patterns (point sets) that are transposition-invariantPoint Set Sequence CollectionAn unordered, transposition-invariant collection of point-set progressions — a library of progression shapes independent of key. Its `groupOf` is point-set-sequence.Pitch-class spaceA twelve-bin distribution of pitch-class weights. It combines matching pitches across octaves while retaining their counts.Pitch classOne of the twelve pitches from C to B, independent of octave. Transposition rotates its position around the chromatic circle.