Tone Clock · Set classes · 2 notes

2-5

prime form 05 · vector 000010 · 12 sets

Open 05 in the workspace

One shape, its own mirror

05

steps 5 7

range 5 · 12 transpositions · 2 modes

Open 05

Interval content

Interval-class vector
ic1ic2ic3ic4ic5ic6
000010

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

Common tones

Common tones under Tn
T0T1T2T3T4T5T6T7T8T9T10T11
200001010000

Notes a set keeps when transposed by n.

Common tones under TnI
T0IT1IT2IT3IT4IT5IT6IT7IT8IT9IT10IT11I
100002000010

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.

05

Relations

Complement
10-5 012345789t
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
3-4 ×2 · 3-5 ×2 · 3-7 ×2 · 3-9 ×2 · 3-11 ×2 · and 192 larger classes