Tone Clock · Set classes · 3 notes

3-5

prime form 016 · vector 100011 · 24 sets

Open 016 in the workspace

Two shapes, each the other’s mirror

016

steps 1 5 6

range 6 · 12 transpositions · 3 modes

Open 016

056

steps 5 1 6

range 6 · 12 transpositions · 3 modes

Open 056

Interval content

Interval-class vector
ic1ic2ic3ic4ic5ic6
100011

Every set in the class holds one semitone, no whole tones, no minor thirds, no major thirds, one fourth and one tritone.

Common tones

Common tones under Tn
T0T1T2T3T4T5T6T7T8T9T10T11
310001210001

Notes a set keeps when transposed by n.

Common tones under TnI
T0IT1IT2IT3IT4IT5IT6IT7IT8IT9IT10IT11I
221000220000

Notes a set keeps when inverted about n.

Its 24 sets

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

016

056

Relations

Complement
9-5 012346789
Z-partner
none: no other class has this interval vector
Symmetry
none: only T0 maps it onto itself
Inside it

2 notes: 2-1 · 2-5 · 2-6

Around it
4-5 · 4-6 · 4-8 · 4-9 · 4-13 · 4-Z15 · 4-16 · 4-18 · 4-Z29 · and 155 larger classes