analysis / Symbolic

Pitch-class set analysis

Analytical measures and properties of a pitch class set

Try it

Compare a set by interval content

Edit the pitch classes on the clock. The six interval-class counts measure every unordered pair at its shortest distance around twelve semitones. Chromatic transposition moves the set but keeps those counts.

Transpose0 st

Interval-class vector

ic 10

ic 20

ic 31

ic 41

ic 51

ic 60

Pitch classes

0-4-7

Binary

100010010000

Interval vector

001110

Voiced MIDI realization

60-64-67

The interval vector matches 2 catalog entries: 3-11, 3-11B. An interval vector alone may also match an inversion or Z-related set; it is not a unique class identifier.

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.

chord quality

Traditional quality name

maj7
min
dim7

scale quality

Traditional scale name

pentatonic

vector

Interval vector showing count of each interval class

223431
111111

rightVector

A custom (menard) interval vector notation showing count of each interval class, counting rightward. It has a length of 12 instead of 6, and provides disambiguation between major and minor chord qualities, amongst other tings.

223431
111111

forte

Forte number classification

3-11
6-31
4-Z29
7-35

prime

Prime form notation showing most compact representation of the set

037
014
02468t

count

Number of different pitch class in a set (1 to 12)

histogram

occurences of the 12 pc. List of 12 values between 0 and 1

0.1, 0,1,0,0,0,0.123,0.2,0,0,0,1
0,0,0,0,0,0,0,01,0,0,0

common tones??

Count of pitch classes shared with other sets

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.

Pitch-class setA selection of the twelve pitch classes, independent of octave and order. It says which pitches are present without choosing a chord root or voicing.Midi Data AnalysisAnalytical measures and properties of a complete song Note SpaceA 128-bin distribution over MIDI notes. Counts or weights retain register and repeated occurrences.Pitch-class spaceA twelve-bin distribution of pitch-class weights. It combines matching pitches across octaves while retaining their counts.Point SpaceA distribution over relative semitone positions from an anchor. It retains weighted shape while discarding absolute MIDI register.