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Scale 2327: "Epalimic"

Scale 2327: Epalimic, 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
Epalimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,8,11}
Forte Number6-Z39
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3347
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 317
Deep Scaleno
Interval Vector333321
Interval Spectrump2m3n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,6,7}
<3> = {3,4,5,7,8,9}
<4> = {5,6,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2327 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3211
Scale 3211: Epacrimic, Ian Ring Music TheoryEpacrimic
3rd mode:
Scale 3653
Scale 3653: Sathimic, Ian Ring Music TheorySathimic
4th mode:
Scale 1937
Scale 1937: Galimic, Ian Ring Music TheoryGalimic
5th mode:
Scale 377
Scale 377: Kathimic, Ian Ring Music TheoryKathimic
6th mode:
Scale 559
Scale 559: Lylimic, Ian Ring Music TheoryLylimic

Prime

The prime form of this scale is Scale 317

Scale 317Scale 317: Korimic, Ian Ring Music TheoryKorimic

Complement

The hexatonic modal family [2327, 3211, 3653, 1937, 377, 559] (Forte: 6-Z39) is the complement of the hexatonic modal family [187, 1559, 1889, 2141, 2827, 3461] (Forte: 6-Z10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2327 is 3347

Scale 3347Scale 3347: Synimic, Ian Ring Music TheorySynimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2327 is chiral, and its enantiomorph is scale 3347

Scale 3347Scale 3347: Synimic, Ian Ring Music TheorySynimic

Transformations:

T0 2327  T0I 3347
T1 559  T1I 2599
T2 1118  T2I 1103
T3 2236  T3I 2206
T4 377  T4I 317
T5 754  T5I 634
T6 1508  T6I 1268
T7 3016  T7I 2536
T8 1937  T8I 977
T9 3874  T9I 1954
T10 3653  T10I 3908
T11 3211  T11I 3721

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 2325Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic
Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic
Scale 2331Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
Scale 2335Scale 2335: Epydian, Ian Ring Music TheoryEpydian
Scale 2311Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya
Scale 2319Scale 2319, Ian Ring Music Theory
Scale 2343Scale 2343: Tharimic, Ian Ring Music TheoryTharimic
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 2391Scale 2391: Molian, Ian Ring Music TheoryMolian
Scale 2455Scale 2455: Bothian, Ian Ring Music TheoryBothian
Scale 2071Scale 2071, Ian Ring Music Theory
Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
Scale 2583Scale 2583, Ian Ring Music Theory
Scale 2839Scale 2839: Lyptian, Ian Ring Music TheoryLyptian
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian
Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic
Scale 1303Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic

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.