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Scale 429: "Koptimic"

Scale 429: Koptimic, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram


Common Names



Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,5,7,8}
Forte Number6-Z25
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 1713
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
prime: 363
Deep Scaleno
Interval Vector233241
Interval Spectrump4m2n3s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5,6}
<3> = {5,7}
<4> = {6,7,8,9}
<5> = {8,10,11}
Spectra Variation2.333
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 429 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1131
Scale 1131: Honchoshi Plagal Form, Ian Ring Music TheoryHonchoshi Plagal Form
3rd mode:
Scale 2613
Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
4th mode:
Scale 1677
Scale 1677: Raga Manavi, Ian Ring Music TheoryRaga Manavi
5th mode:
Scale 1443
Scale 1443: Raga Phenadyuti, Ian Ring Music TheoryRaga Phenadyuti
6th mode:
Scale 2769
Scale 2769: Dyrimic, Ian Ring Music TheoryDyrimic


The prime form of this scale is Scale 363

Scale 363Scale 363: Soptimic, Ian Ring Music TheorySoptimic


The hexatonic modal family [429, 1131, 2613, 1677, 1443, 2769] (Forte: 6-Z25) is the complement of the hexatonic modal family [663, 741, 1209, 1833, 2379, 3237] (Forte: 6-Z47)


The inverse of a scale is a reflection using the root as its axis. The inverse of 429 is 1713

Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas


Only scales that are chiral will have an enantiomorph. Scale 429 is chiral, and its enantiomorph is scale 1713

Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas


T0 429  T0I 1713
T1 858  T1I 3426
T2 1716  T2I 2757
T3 3432  T3I 1419
T4 2769  T4I 2838
T5 1443  T5I 1581
T6 2886  T6I 3162
T7 1677  T7I 2229
T8 3354  T8I 363
T9 2613  T9I 726
T10 1131  T10I 1452
T11 2262  T11I 2904

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 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian
Scale 425Scale 425: Raga Kokil Pancham, Ian Ring Music TheoryRaga Kokil Pancham
Scale 427Scale 427: Raga Suddha Simantini, Ian Ring Music TheoryRaga Suddha Simantini
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 437Scale 437: Ronimic, Ian Ring Music TheoryRonimic
Scale 445Scale 445: Gocrian, Ian Ring Music TheoryGocrian
Scale 397Scale 397: Aeolian Pentatonic, Ian Ring Music TheoryAeolian Pentatonic
Scale 413Scale 413: Ganimic, Ian Ring Music TheoryGanimic
Scale 461Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam
Scale 493Scale 493: Rygian, Ian Ring Music TheoryRygian
Scale 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari
Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic
Scale 173Scale 173: Raga Purnalalita, Ian Ring Music TheoryRaga Purnalalita
Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala
Scale 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani
Scale 1453Scale 1453: Aeolian, Ian Ring Music TheoryAeolian
Scale 2477Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor

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. Bibliography