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Scale 351: "Epanian"

Scale 351: Epanian, 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

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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
Epanian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,4,6,8}
Forte Number7-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3921
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?yes
Deep Scaleno
Interval Vector453432
Interval Spectrump3m4n3s5d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {8,10,11}
Spectra Variation3.429
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 351 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2223
Scale 2223: Konian, Ian Ring Music TheoryKonian
3rd mode:
Scale 3159
Scale 3159: Stocrian, Ian Ring Music TheoryStocrian
4th mode:
Scale 3627
Scale 3627: Kalian, Ian Ring Music TheoryKalian
5th mode:
Scale 3861
Scale 3861: Phroptian, Ian Ring Music TheoryPhroptian
6th mode:
Scale 1989
Scale 1989: Dydian, Ian Ring Music TheoryDydian
7th mode:
Scale 1521
Scale 1521: Stanian, Ian Ring Music TheoryStanian

Prime

This is the prime form of this scale.

Complement

The heptatonic modal family [351, 2223, 3159, 3627, 3861, 1989, 1521] (Forte: 7-9) is the complement of the pentatonic modal family [87, 1473, 1797, 2091, 3093] (Forte: 5-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 351 is 3921

Scale 3921Scale 3921: Pythian, Ian Ring Music TheoryPythian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 351 is chiral, and its enantiomorph is scale 3921

Scale 3921Scale 3921: Pythian, Ian Ring Music TheoryPythian

Transformations:

T0 351  T0I 3921
T1 702  T1I 3747
T2 1404  T2I 3399
T3 2808  T3I 2703
T4 1521  T4I 1311
T5 3042  T5I 2622
T6 1989  T6I 1149
T7 3978  T7I 2298
T8 3861  T8I 501
T9 3627  T9I 1002
T10 3159  T10I 2004
T11 2223  T11I 4008

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 349Scale 349: Borimic, Ian Ring Music TheoryBorimic
Scale 347Scale 347: Barimic, Ian Ring Music TheoryBarimic
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic
Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian
Scale 383Scale 383: Logyllic, Ian Ring Music TheoryLogyllic
Scale 287Scale 287: Gynimic, Ian Ring Music TheoryGynimic
Scale 319Scale 319: Epodian, Ian Ring Music TheoryEpodian
Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian
Scale 479Scale 479: Kocryllic, Ian Ring Music TheoryKocryllic
Scale 95Scale 95, Ian Ring Music Theory
Scale 223Scale 223, Ian Ring Music Theory
Scale 607Scale 607: Kadian, Ian Ring Music TheoryKadian
Scale 863Scale 863: Pyryllic, Ian Ring Music TheoryPyryllic
Scale 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic
Scale 2399Scale 2399: Zanyllic, Ian Ring Music TheoryZanyllic

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.