5-34

One shape, its own mirror

Interval content

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

Common tones

Notes a set keeps when transposed by n.

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.

02469

• 02469C D E F# A
• 1357tC# D# F G Bb
• 2468eD E F# G# B
• 03579D# F G A C
• 1468tE F# G# Bb C#
• 2579eF G A B D
• 0368tF# G# Bb C D#
• 1479eG A B C# E
• 0258tG# Bb C D F
• 1369eA B C# D# F#
• 0247tBb C D E G
• 1358eB C# D# F G#

Relations

Complement

7-34 013468t · acoustic / melodic minor scale

Z-partner

none: no other class has this interval vector

Symmetry

T0 and one inversion map it onto itself

Inside it

2 notes: 2-2 ×3 · 2-3 ×2 · 2-4 ×2 · 2-5 ×2 · 2-6

3 notes: 3-6 ×2 · 3-7 ×2 · 3-8 ×2 · 3-9 · 3-10 · 3-11 ×2

4 notes: 4-21 · 4-22 ×2 · 4-27 ×2

Around it

6-33 ×2 · 6-34 ×2 · 6-Z45 · 6-Z46 ×2 · and 48 larger classes