Tone Clock · Set classes · 3 notes

3-11

major or minor triad

prime form 037 · vector 001110 · 24 sets

Open 037 in the workspace

Two shapes, each the other’s mirror

037 · minor triad

steps 3 4 5

range 7 · 12 transpositions · 3 modes

Open 037

047 · major triad

steps 4 3 5

range 7 · 12 transpositions · 3 modes

Open 047

Interval content

Interval-class vector
ic1ic2ic3ic4ic5ic6
001110

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

Common tones

Common tones under Tn
T0T1T2T3T4T5T6T7T8T9T10T11
300111011100

Notes a set keeps when transposed by n.

Common tones under TnI
T0IT1IT2IT3IT4IT5IT6IT7IT8IT9IT10IT11I
101200120020

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.

037 · minor triad

047 · major triad

Relations

Complement
9-11 01235679t
Z-partner
none: no other class has this interval vector
Symmetry
none: only T0 maps it onto itself
Inside it

2 notes: 2-3 · 2-4 · 2-5

Around it
4-14 · 4-17 · 4-18 · 4-19 · 4-20 · 4-22 · 4-26 · 4-27 · 4-Z29 · and 154 larger classes