Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

7-33

Neapolitan major

Cardinality
7

Prime Form

Prime form pitch class clockC0C#1D2D#E4FF#6GG#8AA#10B[0,1,2,4,6,8,10]7 pitch classes
T0

Interval Vector

<2,6,2,6,2,3> (sum: 21)
2
ic1
6
ic2
2
ic3
6
ic4
2
ic5
3
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,4,6,8,10]
Interval Vector
<2,6,2,6,2,3>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 2

Step Pattern

1-1-2-2-2-2-2
Intervals: H-H-W-W-W-W-W

Complement

5-33card 5
[0,2,4,6,8]
Whole-tone pentachord

All Transpositions

LevelPitch ClassesNote Names
T0[0,1,2,4,6,8,10]C C# D E F# G# A#
T1[1,2,3,5,7,9,11]C# D D# F G A B
T2[0,2,3,4,6,8,10]C D D# E F# G# A#
T3[1,3,4,5,7,9,11]C# D# E F G A B
T4[0,2,4,5,6,8,10]C D E F F# G# A#
T5[1,3,5,6,7,9,11]C# D# F F# G A B
T6[0,2,4,6,7,8,10]C D E F# G G# A#
T7[1,3,5,7,8,9,11]C# D# F G G# A B
T8[0,2,4,6,8,9,10]C D E F# G# A A#
T9[1,3,5,7,9,10,11]C# D# F G A A# B
T10[0,2,4,6,8,10,11]C D E F# G# A# B
T11[0,1,3,5,7,9,11]C C# D# F G A B
← 7-32Back to Catalog7-34 →