structural / Symbolic
Point Set Collection
A collection of interval patterns (point sets) that are transposition-invariant
How it works
Its shape has no fixed root. Choose an anchor before turning it into absolute MIDI notes.
It groups point set objects without requiring an order.
Written forms
Ways to write this concept
Each notation describes the same underlying object. Load a playable example to hear one MIDI realization in the Code Sequencer.
steps
Collection of interval step patterns with relative root positions
0-4-7,7-11-14,0-4-79-15-18-19,4-16-20,6-16-21,7-16-23,9-12-16-21-24,0-12-16-23,7-11-14-180-4-7,5-9-12,7-11-140-5-9-14,7-12-15-21,0-4-7-110-4-7,7-11-14,9-12-16,5-9-12
binary
Collection of binary interval representations
10010001,10000000010001,1001000110010001,100000100001,10000000010001
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 setsPc Set CollectionAn unordered collection of unique pitch class 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).Pc Set Sequence CollectionAn unordered, octave-free collection of pc-set progressions. The pitch-class abstraction of a note-set-sequence collection; its `groupOf` is pc-set-sequence.Point SpaceA distribution over relative semitone positions from an anchor. It retains weighted shape while discarding absolute MIDI register.PointA relative pitch position measured in semitone steps. Anchor it to a note to obtain an absolute pitch; keep it unanchored to compare transposed shapes.