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Scale 3157

Scale 3157, Ian Ring Music Theory
iiii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,2,4,6,10,11}
Forte Number6-22
Rotational Symmetrynone
Palindromicno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 343
Chiralityyes
enantiomorph: 1351
Deep Scaleno
Interval Vector241422
Interval Spectrump2m4ns4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3157 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1813
Scale 1813, Ian Ring Music Theory
3rd mode:
Scale 1477
Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
4th mode:
Scale 1393
Scale 1393, Ian Ring Music Theory
5th mode:
Scale 343
Scale 343, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2219
Scale 2219, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 343

Scale 343Scale 343, Ian Ring Music Theory

Negative

The hexatonic modal family [3157, 1813, 1477, 1393, 343, 2219] is the negative of the hexatonic modal family [343, 1393, 1477, 1813, 2219, 3157]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3157 is 1351

Scale 1351Scale 1351, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3157 is chiral, and its enantiomorph is scale 1351

Scale 1351Scale 1351, 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 3159Scale 3159, Ian Ring Music Theory
Scale 3153Scale 3153, Ian Ring Music Theory
Scale 3155Scale 3155, Ian Ring Music Theory
Scale 3161Scale 3161, Ian Ring Music Theory
Scale 3165Scale 3165, Ian Ring Music Theory
Scale 3141Scale 3141, Ian Ring Music Theory
Scale 3149Scale 3149, Ian Ring Music Theory
Scale 3173Scale 3173, Ian Ring Music Theory
Scale 3189Scale 3189, Ian Ring Music Theory
Scale 3093Scale 3093, Ian Ring Music Theory
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3221Scale 3221, Ian Ring Music Theory
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3669Scale 3669, Ian Ring Music Theory
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2645Scale 2645: Raga Mruganandana, Ian Ring Music TheoryRaga Mruganandana
Scale 1109Scale 1109, 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