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Scale 137: "Ute tritonic"

Also known as: Peruvian tritonic 2

Scale 137: Ute tritonic, Ian Ring Music Theory

i = imperfections

Tones3 (tritonic)
Pitch Class Set{0,3,7}
Forte Number3-11
Rotational Symmetrynone
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
enantiomorph: 545
Deep Scaleno
Interval Vector001110
Interval Spectrumpmn
Distribution Spectra<1> = {3,4,5}
<2> = {7,8,9}
Spectra Variation1.333
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 137 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 529
Scale 529: Raga Bilwadala, Ian Ring Music TheoryRaga Bilwadala
3rd mode:
Scale 289
Scale 289, Ian Ring Music Theory


This is the prime form of this scale.


The tritonic modal family [137, 529, 289] is the negative of the nonatonic modal family [1775, 1915, 1975, 2935, 3005, 3035, 3515, 3565, 3805]


The inverse of a scale is a reflection using the root as its axis. The inverse of 137 is 545

Scale 545Scale 545, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 137 is chiral, and its enantiomorph is scale 545

Scale 545Scale 545, 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 139Scale 139, Ian Ring Music Theory
Scale 141Scale 141, Ian Ring Music Theory
Scale 129Scale 129: Niagari, Ian Ring Music TheoryNiagari
Scale 133Scale 133, Ian Ring Music Theory
Scale 145Scale 145: Raga Malasri, Ian Ring Music TheoryRaga Malasri
Scale 153Scale 153, Ian Ring Music Theory
Scale 169Scale 169: Vietnamese tetratonic, Ian Ring Music TheoryVietnamese tetratonic
Scale 201Scale 201, Ian Ring Music Theory
Scale 9Scale 9, Ian Ring Music Theory
Scale 73Scale 73, Ian Ring Music Theory
Scale 265Scale 265, Ian Ring Music Theory
Scale 393Scale 393, Ian Ring Music Theory
Scale 649Scale 649, Ian Ring Music Theory
Scale 1161Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu
Scale 2185Scale 2185, 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