Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

4-23

Quartal tetrachord / All-fourths tetrachord

Cardinality
4

Prime Form

Prime form pitch class clockC0C#D2D#EF5F#G7G#AA#B[0,2,5,7]4 pitch classes
T0

Interval Vector

<0,2,1,0,3,0> (sum: 6)
0
ic1
2
ic2
1
ic3
0
ic4
3
ic5
0
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,2,5,7]
Interval Vector
<0,2,1,0,3,0>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 7

Step Pattern

2-3-2-5
Intervals: W-3-W-5

Complement

8-23card 8
[0,1,2,3,5,7,8,10]

All Transpositions

LevelPitch ClassesNote Names
T0[0,2,5,7]C D F G
T1[1,3,6,8]C# D# F# G#
T2[2,4,7,9]D E G A
T3[3,5,8,10]D# F G# A#
T4[4,6,9,11]E F# A B
T5[0,5,7,10]C F G A#
T6[1,6,8,11]C# F# G# B
T7[0,2,7,9]C D G A
T8[1,3,8,10]C# D# G# A#
T9[2,4,9,11]D E A B
T10[0,3,5,10]C D# F A#
T11[1,4,6,11]C# E F# B
← 4-22Back to Catalog4-24 →