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Scale 3175: "Eponian"

Scale 3175: Eponian, Ian Ring Music Theory

Common Names



Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,5,6,10,11}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3271
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 415
Deep Scaleno
Interval Vector533442
Interval Spectrump4m4n3s3d5t2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone

Harmonic Chords


Modes are the rotational transformation of this scale. Scale 3175 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3635
Scale 3635: Katygian, Ian Ring Music TheoryKatygian
3rd mode:
Scale 3865
Scale 3865: Starian, Ian Ring Music TheoryStarian
4th mode:
Scale 995
Scale 995: Phrathian, Ian Ring Music TheoryPhrathian
5th mode:
Scale 2545
Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
6th mode:
Scale 415
Scale 415: Aeoladian, Ian Ring Music TheoryAeoladianThis is the prime mode
7th mode:
Scale 2255
Scale 2255: Dylian, Ian Ring Music TheoryDylian


The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian


The heptatonic modal family [3175, 3635, 3865, 995, 2545, 415, 2255] (Forte: 7-6) is the complement of the pentatonic modal family [103, 899, 2099, 2497, 3097] (Forte: 5-6)


The inverse of a scale is a reflection using the root as its axis. The inverse of 3175 is 3271

Scale 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya


Only scales that are chiral will have an enantiomorph. Scale 3175 is chiral, and its enantiomorph is scale 3271

Scale 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya


T0 3175  T0I 3271
T1 2255  T1I 2447
T2 415  T2I 799
T3 830  T3I 1598
T4 1660  T4I 3196
T5 3320  T5I 2297
T6 2545  T6I 499
T7 995  T7I 998
T8 1990  T8I 1996
T9 3980  T9I 3992
T10 3865  T10I 3889
T11 3635  T11I 3683

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 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 3171Scale 3171: Zythimic, Ian Ring Music TheoryZythimic
Scale 3179Scale 3179: Daptian, Ian Ring Music TheoryDaptian
Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
Scale 3191Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
Scale 3143Scale 3143: Polimic, Ian Ring Music TheoryPolimic
Scale 3159Scale 3159: Stocrian, Ian Ring Music TheoryStocrian
Scale 3111Scale 3111, Ian Ring Music Theory
Scale 3239Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
Scale 3303Scale 3303: Mylyllic, Ian Ring Music TheoryMylyllic
Scale 3431Scale 3431: Zyptyllic, Ian Ring Music TheoryZyptyllic
Scale 3687Scale 3687: Zonyllic, Ian Ring Music TheoryZonyllic
Scale 2151Scale 2151, Ian Ring Music Theory
Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian
Scale 1127Scale 1127: Eparimic, Ian Ring Music TheoryEparimic

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