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Scale 2237: "Epothian"

Scale 2237: Epothian, Ian Ring Music Theory

Common Names

Zeitler
Epothian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,5,7,11}
Forte Number7-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1955
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 379
Deep Scaleno
Interval Vector444441
Interval Spectrump4m4n4s4d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2237 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1583
Scale 1583: Salian, Ian Ring Music TheorySalian
3rd mode:
Scale 2839
Scale 2839: Lyptian, Ian Ring Music TheoryLyptian
4th mode:
Scale 3467
Scale 3467: Katonian, Ian Ring Music TheoryKatonian
5th mode:
Scale 3781
Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
6th mode:
Scale 1969
Scale 1969: Stylian, Ian Ring Music TheoryStylian
7th mode:
Scale 379
Scale 379: Aeragian, Ian Ring Music TheoryAeragianThis is the prime mode

Prime

The prime form of this scale is Scale 379

Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian

Complement

The heptatonic modal family [2237, 1583, 2839, 3467, 3781, 1969, 379] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2237 is 1955

Scale 1955Scale 1955: Sonian, Ian Ring Music TheorySonian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2237 is chiral, and its enantiomorph is scale 1955

Scale 1955Scale 1955: Sonian, Ian Ring Music TheorySonian

Transformations:

T0 2237  T0I 1955
T1 379  T1I 3910
T2 758  T2I 3725
T3 1516  T3I 3355
T4 3032  T4I 2615
T5 1969  T5I 1135
T6 3938  T6I 2270
T7 3781  T7I 445
T8 3467  T8I 890
T9 2839  T9I 1780
T10 1583  T10I 3560
T11 3166  T11I 3025

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 2239Scale 2239: Dacryllic, Ian Ring Music TheoryDacryllic
Scale 2233Scale 2233: Donimic, Ian Ring Music TheoryDonimic
Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2221Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2301Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2173Scale 2173, Ian Ring Music Theory
Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian
Scale 2493Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
Scale 2749Scale 2749: Katagyllic, Ian Ring Music TheoryKatagyllic
Scale 3261Scale 3261: Dodyllic, Ian Ring Music TheoryDodyllic
Scale 189Scale 189, Ian Ring Music Theory
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian

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