Theory
ResearchFrontier structures and internal systems

4-24

Augmented seventh chord

Cardinality
4

Prime Form

Prime form pitch class clockC0C#D2D#E4FF#GG#8AA#B[0,2,4,8]4 pitch classes
T0

Interval Vector

<0,2,0,3,0,1> (sum: 6)
0
ic1
2
ic2
0
ic3
3
ic4
0
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,2,4,8]
Interval Vector
<0,2,0,3,0,1>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 4

Step Pattern

2-2-4-4
Intervals: W-W-4-4

All Transpositions

LevelPitch ClassesNote Names
T0[0,2,4,8]C D E G#
T1[1,3,5,9]C# D# F A
T2[2,4,6,10]D E F# A#
T3[3,5,7,11]D# F G B
T4[0,4,6,8]C E F# G#
T5[1,5,7,9]C# F G A
T6[2,6,8,10]D F# G# A#
T7[3,7,9,11]D# G A B
T8[0,4,8,10]C E G# A#
T9[1,5,9,11]C# F A B
T10[0,2,6,10]C D F# A#
T11[1,3,7,11]C# D# G B