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Scale 1167

Scale 1167, Ian Ring Music Theory
iii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,1,2,3,7,10}
Forte Number6-Z40
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 303
Chiralityyes
enantiomorph: 3621
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,5,7}
<3> = {3,4,6,8,9}
<4> = {5,7,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1167 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2631
Scale 2631, Ian Ring Music Theory
3rd mode:
Scale 3363
Scale 3363, Ian Ring Music Theory
4th mode:
Scale 3729
Scale 3729, Ian Ring Music Theory
5th mode:
Scale 489
Scale 489, Ian Ring Music Theory
6th mode:
Scale 573
Scale 573, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303, Ian Ring Music Theory

Negative

The hexatonic modal family [1167, 2631, 3363, 3729, 489, 573] is the negative of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1167 is 3621

Scale 3621Scale 3621, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1167 is chiral, and its enantiomorph is scale 3621

Scale 3621Scale 3621, Ian Ring Music Theory

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 1165Scale 1165, Ian Ring Music Theory
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi
Scale 1159Scale 1159, Ian Ring Music Theory
Scale 1175Scale 1175, Ian Ring Music Theory
Scale 1183Scale 1183, Ian Ring Music Theory
Scale 1199Scale 1199, Ian Ring Music Theory
Scale 1231Scale 1231, Ian Ring Music Theory
Scale 1039Scale 1039, Ian Ring Music Theory
Scale 1103Scale 1103, Ian Ring Music Theory
Scale 1295Scale 1295, Ian Ring Music Theory
Scale 1423Scale 1423, Ian Ring Music Theory
Scale 1679Scale 1679, Ian Ring Music Theory
Scale 143Scale 143, Ian Ring Music Theory
Scale 655Scale 655, Ian Ring Music Theory
Scale 2191Scale 2191, Ian Ring Music Theory
Scale 3215Scale 3215, Ian Ring Music Theory

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js