structural / Symbolic
Interval
A signed semitone distance between two pitches. Moving both endpoints together preserves the interval.
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Change an interval and move both endpoints
The interval measures the signed distance between two notes. Transposing both notes preserves that distance.
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Interval
5PSemitones
7First note
C4 · 60Second note
G4 · 67Written 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.
number
Open guideSemitone count
name
Open guideTraditional interval name
compound
Open guideCompound interval name
notes
Open guideInterval between two notes
Interval between two pitch class
freq
Open guideTwo exact frequencies in Hz
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
NoteOne concrete MIDI pitch with an octave. Its pitch class keeps the note name while discarding that register.Pitch classOne of the twelve pitches from C to B, independent of octave. Transposition rotates its position around the chromatic circle.Point SetA rootless arrangement of semitone offsets from the lowest note. Its shape stays the same when a MIDI voicing is transposed.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.Point SpaceA distribution over relative semitone positions from an anchor. It retains weighted shape while discarding absolute MIDI register.