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Scale 3137

Scale 3137, Ian Ring Music Theory

i = imperfections

Tones4 (tetratonic)
Pitch Class Set{0,6,10,11}
Forte Number4-5
Rotational Symmetrynone
Palindromicno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes3
Prime?no
prime: 71
Chiralityyes
enantiomorph: 71
Deep Scaleno
Interval Vector210111
Interval Spectrumpmsd2t
Distribution Spectra<1> = {1,4,6}
<2> = {2,5,7,10}
<3> = {6,8,11}
Spectra Variation4.5
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3137 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 113
Scale 113, Ian Ring Music Theory
3rd mode:
Scale 263
Scale 263, Ian Ring Music Theory
4th mode:
Scale 2179
Scale 2179, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 71

Scale 71Scale 71, Ian Ring Music Theory

Negative

The tetratonic modal family [3137, 113, 263, 2179] is the negative of the octatonic modal family [479, 1991, 2287, 3043, 3191, 3569, 3643, 3869]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3137 is 71

Scale 71Scale 71, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3137 is chiral, and its enantiomorph is scale 71

Scale 71Scale 71, 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 3139Scale 3139, Ian Ring Music Theory
Scale 3141Scale 3141, Ian Ring Music Theory
Scale 3145Scale 3145, Ian Ring Music Theory
Scale 3153Scale 3153, Ian Ring Music Theory
Scale 3169Scale 3169, Ian Ring Music Theory
Scale 3073Scale 3073, Ian Ring Music Theory
Scale 3105Scale 3105, Ian Ring Music Theory
Scale 3201Scale 3201, Ian Ring Music Theory
Scale 3265Scale 3265, Ian Ring Music Theory
Scale 3393Scale 3393, Ian Ring Music Theory
Scale 3649Scale 3649, Ian Ring Music Theory
Scale 2113Scale 2113, Ian Ring Music Theory
Scale 2625Scale 2625, Ian Ring Music Theory
Scale 1089Scale 1089, 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