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Scale 423

Scale 423, Ian Ring Music Theory

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,1,2,5,7,8}
Forte Number6-18
Rotational Symmetrynone
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
enantiomorph: 3249
Deep Scaleno
Interval Vector322242
Interval Spectrump4m2n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {5,6,7}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.333
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 423 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2259
Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
3rd mode:
Scale 3177
Scale 3177, Ian Ring Music Theory
4th mode:
Scale 909
Scale 909, Ian Ring Music Theory
5th mode:
Scale 1251
Scale 1251, Ian Ring Music Theory
6th mode:
Scale 2673
Scale 2673, Ian Ring Music Theory


This is the prime form of this scale.


The hexatonic modal family [423, 2259, 3177, 909, 1251, 2673] is the negative of the hexatonic modal family [423, 909, 1251, 2259, 2673, 3177]


The inverse of a scale is a reflection using the root as its axis. The inverse of 423 is 3249

Scale 3249Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang


Only scales that are chiral will have an enantiomorph. Scale 423 is chiral, and its enantiomorph is scale 3249

Scale 3249Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang

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 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 419Scale 419: Hon-kumoi-joshi, Ian Ring Music TheoryHon-kumoi-joshi
Scale 427Scale 427: Raga Suddha Simantini, Ian Ring Music TheoryRaga Suddha Simantini
Scale 431Scale 431, Ian Ring Music Theory
Scale 439Scale 439, Ian Ring Music Theory
Scale 391Scale 391, Ian Ring Music Theory
Scale 407Scale 407, Ian Ring Music Theory
Scale 455Scale 455: Messiaen mode 5, Ian Ring Music TheoryMessiaen mode 5
Scale 487Scale 487, Ian Ring Music Theory
Scale 295Scale 295, Ian Ring Music Theory
Scale 359Scale 359, Ian Ring Music Theory
Scale 167Scale 167, Ian Ring Music Theory
Scale 679Scale 679, Ian Ring Music Theory
Scale 935Scale 935: Chromatic Dorian, Ian Ring Music TheoryChromatic Dorian
Scale 1447Scale 1447: Mela Ratnangi, Ian Ring Music TheoryMela Ratnangi
Scale 2471Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti

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