Tone Clock · Set classes · 3 notes

3-6

prime form 024 · vector 020100 · 12 sets

Open 024 in the workspace

One shape, its own mirror

024

steps 2 2 8

range 4 · 12 transpositions · 3 modes

Open 024

Interval content

Interval-class vector
ic1ic2ic3ic4ic5ic6
020100

Every set in the class holds no semitones, two whole tones, no minor thirds, one major third, no fourths and no tritones.

Common tones

Common tones under Tn
T0T1T2T3T4T5T6T7T8T9T10T11
302010001020

Notes a set keeps when transposed by n.

Common tones under TnI
T0IT1IT2IT3IT4IT5IT6IT7IT8IT9IT10IT11I
102030201000

Notes a set keeps when inverted about n.

Its 12 sets

Set theory treats D# and Eb as one pitch class; the names under each set use one fixed spelling, sharps except Bb.

024

Relations

Complement
9-6 01234568t
Z-partner
none: no other class has this interval vector
Symmetry
T0 and one inversion map it onto itself
Inside it

2 notes: 2-2 ×2 · 2-4

Around it
4-2 ×2 · 4-11 ×2 · 4-21 ×2 · 4-22 ×2 · 4-24 · and 130 larger classes