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Scale 3763

Scale 3763, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,4,5,7,9,10,11}
Forte Number8-Z15
Rotational Symmetrynone
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 863
enantiomorph: 2479
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 3763 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3929
Scale 3929, Ian Ring Music Theory
3rd mode:
Scale 1003
Scale 1003, Ian Ring Music Theory
4th mode:
Scale 2549
Scale 2549, Ian Ring Music Theory
5th mode:
Scale 1661
Scale 1661, Ian Ring Music Theory
6th mode:
Scale 1439
Scale 1439, Ian Ring Music Theory
7th mode:
Scale 2767
Scale 2767, Ian Ring Music Theory
8th mode:
Scale 3431
Scale 3431, Ian Ring Music Theory


The prime form of this scale is Scale 863

Scale 863Scale 863, Ian Ring Music Theory


The octatonic modal family [3763, 3929, 1003, 2549, 1661, 1439, 2767, 3431] is the negative of the tetratonic modal family [83, 773, 1217, 2089]


The inverse of a scale is a reflection using the root as its axis. The inverse of 3763 is 2479

Scale 2479Scale 2479, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3763 is chiral, and its enantiomorph is scale 2479

Scale 2479Scale 2479, 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 3761Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
Scale 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3771Scale 3771, Ian Ring Music Theory
Scale 3747Scale 3747, Ian Ring Music Theory
Scale 3755Scale 3755, Ian Ring Music Theory
Scale 3731Scale 3731, Ian Ring Music Theory
Scale 3795Scale 3795, Ian Ring Music Theory
Scale 3827Scale 3827, Ian Ring Music Theory
Scale 3635Scale 3635, Ian Ring Music Theory
Scale 3699Scale 3699, Ian Ring Music Theory
Scale 3891Scale 3891, Ian Ring Music Theory
Scale 4019Scale 4019, Ian Ring Music Theory
Scale 3251Scale 3251: Mela Hatakambari, Ian Ring Music TheoryMela Hatakambari
Scale 3507Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
Scale 2739Scale 2739: Mela Suryakanta, Ian Ring Music TheoryMela Suryakanta
Scale 1715Scale 1715: Harmonic Minor inverse, Ian Ring Music TheoryHarmonic Minor inverse

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