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Scale 1337: "Epogimic"

Scale 1337: Epogimic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above.

Tonnetz Diagram

Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names



Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,5,8,10}
Forte Number6-Z48
Rotational Symmetrynone
Reflection Axes4
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 679
Deep Scaleno
Interval Vector232341
Interval Spectrump4m3n2s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,4,5}
<3> = {5,6,7}
<4> = {7,8,10}
<5> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Ridge Tones[8]


Modes are the rotational transformation of this scale. Scale 1337 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 679
Scale 679: Lanimic, Ian Ring Music TheoryLanimicThis is the prime mode
3rd mode:
Scale 2387
Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
4th mode:
Scale 3241
Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
5th mode:
Scale 917
Scale 917: Dygimic, Ian Ring Music TheoryDygimic
6th mode:
Scale 1253
Scale 1253: Zolimic, Ian Ring Music TheoryZolimic


The prime form of this scale is Scale 679

Scale 679Scale 679: Lanimic, Ian Ring Music TheoryLanimic


The hexatonic modal family [1337, 679, 2387, 3241, 917, 1253] (Forte: 6-Z48) is the complement of the hexatonic modal family [427, 1379, 1421, 1589, 2261, 2737] (Forte: 6-Z26)


The inverse of a scale is a reflection using the root as its axis. The inverse of 1337 is 917

Scale 917Scale 917: Dygimic, Ian Ring Music TheoryDygimic


T0 1337  T0I 917
T1 2674  T1I 1834
T2 1253  T2I 3668
T3 2506  T3I 3241
T4 917  T4I 2387
T5 1834  T5I 679
T6 3668  T6I 1358
T7 3241  T7I 2716
T8 2387  T8I 1337
T9 679  T9I 2674
T10 1358  T10I 1253
T11 2716  T11I 2506

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 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian
Scale 1341Scale 1341: Madian, Ian Ring Music TheoryMadian
Scale 1329Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
Scale 1333Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic
Scale 1321Scale 1321: Blues Minor, Ian Ring Music TheoryBlues Minor
Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic
Scale 1369Scale 1369: Boptimic, Ian Ring Music TheoryBoptimic
Scale 1401Scale 1401: Pagian, Ian Ring Music TheoryPagian
Scale 1465Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani
Scale 1081Scale 1081, Ian Ring Music Theory
Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
Scale 1593Scale 1593: Zogimic, Ian Ring Music TheoryZogimic
Scale 1849Scale 1849: Chromatic Hypodorian Inverse, Ian Ring Music TheoryChromatic Hypodorian Inverse
Scale 313Scale 313: Goritonic, Ian Ring Music TheoryGoritonic
Scale 825Scale 825: Thyptimic, Ian Ring Music TheoryThyptimic
Scale 2361Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
Scale 3385Scale 3385: Chromatic Phrygian, Ian Ring Music TheoryChromatic Phrygian

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