Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-1

Chromatic pentachord

Cardinality
5

Prime Form

Prime form pitch class clockC0C#1D2D#3E4FF#GG#AA#B[0,1,2,3,4]5 pitch classes
T0

Interval Vector

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

Step Pattern

1-1-1-1-8
Intervals: H-H-H-H-8

Complement

7-1card 7
[0,1,2,3,4,5,6]
Chromatic heptachord

All Transpositions

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