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.

First MIDI noteSemitone distance

Transpose0 st

Interval

5P

Semitones

7

First note

C4 · 60

Second note

G4 · 67

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.

number

Semitone count

0
7
12

name

Traditional interval name

P1
P5
P8

compound

Compound interval name

P8
M9
m10

notes

Interval between two notes

C2-F3
33-49
66-71

pc

Interval between two pitch class

C-A
1-49
66-71

freq

Two exact frequencies in Hz

440-880
440-660
440-550
261.63-392.00

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.

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-invariant Point 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.