Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-35

Pentatonic scale / Major pentatonic / Minor pentatonic

Cardinality
5

Prime Form

Prime form pitch class clockC0C#D2D#E4FF#G7G#A9A#B[0,2,4,7,9]5 pitch classes
T0

Interval Vector

<0,3,2,1,4,0> (sum: 10)
0
ic1
3
ic2
2
ic3
1
ic4
4
ic5
0
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,2,4,7,9]
Interval Vector
<0,3,2,1,4,0>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 4

Step Pattern

2-2-3-2-3
Intervals: W-W-3-W-3

Complement

7-35card 7
[0,1,3,5,6,8,10]
Major scale

All Transpositions

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