Tone Clock · Set classes · 2 notes

2-6

tritone

prime form 06 · vector 000001 · 6 sets

Open 06 in the workspace

One shape, its own mirror

06 · tritone

steps 6 6

range 6 · 6 transpositions · 1 mode

Open 06

Interval content

Interval-class vector
ic1ic2ic3ic4ic5ic6
000001

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

Common tones

Common tones under Tn
T0T1T2T3T4T5T6T7T8T9T10T11
200000200000

Notes a set keeps when transposed by n.

Common tones under TnI
T0IT1IT2IT3IT4IT5IT6IT7IT8IT9IT10IT11I
200000200000

Notes a set keeps when inverted about n.

Its 6 sets

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

06 · tritone

Relations

Complement
10-6 012346789t
Z-partner
none: no other class has this interval vector
Symmetry
2 transpositions and 2 inversions map it onto itself
Inside it
no smaller class of two notes or more
Around it
3-5 ×4 · 3-8 ×4 · 3-10 ×2 · and 175 larger classes