Tone Clock · Set classes · 1 note

1-1

prime form 0 · vector 000000 · 12 sets

Open 0 in the workspace

One shape, its own mirror

0

steps 12

range 0 · 12 transpositions · 1 mode

Open 0

Interval content

Interval-class vector
ic1ic2ic3ic4ic5ic6
000000

A single pitch class holds no intervals.

Common tones

Common tones under Tn
T0T1T2T3T4T5T6T7T8T9T10T11
100000000000

Notes a set keeps when transposed by n.

Common tones under TnI
T0IT1IT2IT3IT4IT5IT6IT7IT8IT9IT10IT11I
100000000000

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.

0

Relations

Complement
11-1 0123456789t
Z-partner
none: no other class has this interval vector
Symmetry
T0 and one inversion map it onto itself
Inside it
no smaller class of two notes or more
Around it
2-1 ×2 · 2-2 ×2 · 2-3 ×2 · 2-4 ×2 · 2-5 ×2 · 2-6 · and 216 larger classes