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Scale 373: "Epagimic"

Scale 373: Epagimic, 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. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
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

Zeitler
Epagimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,5,6,8}
Forte Number6-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1489
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections5
Modes5
Prime?no
prime: 349
Deep Scaleno
Interval Vector242412
Interval Spectrumpm4n2s4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,6}
<3> = {4,5,7,8}
<4> = {6,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 373 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1117
Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic
3rd mode:
Scale 1303
Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic
4th mode:
Scale 2699
Scale 2699: Sythimic, Ian Ring Music TheorySythimic
5th mode:
Scale 3397
Scale 3397: Sydimic, Ian Ring Music TheorySydimic
6th mode:
Scale 1873
Scale 1873: Dathimic, Ian Ring Music TheoryDathimic

Prime

The prime form of this scale is Scale 349

Scale 349Scale 349: Borimic, Ian Ring Music TheoryBorimic

Complement

The hexatonic modal family [373, 1117, 1303, 2699, 3397, 1873] (Forte: 6-21) is the complement of the hexatonic modal family [349, 1111, 1489, 1861, 2603, 3349] (Forte: 6-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 373 is 1489

Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 373 is chiral, and its enantiomorph is scale 1489

Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti

Transformations:

T0 373  T0I 1489
T1 746  T1I 2978
T2 1492  T2I 1861
T3 2984  T3I 3722
T4 1873  T4I 3349
T5 3746  T5I 2603
T6 3397  T6I 1111
T7 2699  T7I 2222
T8 1303  T8I 349
T9 2606  T9I 698
T10 1117  T10I 1396
T11 2234  T11I 2792

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 375Scale 375: Sodian, Ian Ring Music TheorySodian
Scale 369Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic
Scale 377Scale 377: Kathimic, Ian Ring Music TheoryKathimic
Scale 381Scale 381: Kogian, Ian Ring Music TheoryKogian
Scale 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic
Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic
Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 437Scale 437: Ronimic, Ian Ring Music TheoryRonimic
Scale 501Scale 501: Katylian, Ian Ring Music TheoryKatylian
Scale 117Scale 117, Ian Ring Music Theory
Scale 245Scale 245: Raga Dipak, Ian Ring Music TheoryRaga Dipak
Scale 629Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 885Scale 885: Sathian, Ian Ring Music TheorySathian
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 2421Scale 2421: Malian, Ian Ring Music TheoryMalian

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.