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Scale 2335: "Epydian"

Scale 2335: Epydian, 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
Epydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,4,8,11}
Forte Number7-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3859
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 319
Deep Scaleno
Interval Vector544431
Interval Spectrump3m4n4s4d5t
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5,7}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {5,7,8,10}
<6> = {8,9,11}
Spectra Variation3.714
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2335 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3215
Scale 3215: Katydian, Ian Ring Music TheoryKatydian
3rd mode:
Scale 3655
Scale 3655: Mathian, Ian Ring Music TheoryMathian
4th mode:
Scale 3875
Scale 3875: Aeryptian, Ian Ring Music TheoryAeryptian
5th mode:
Scale 3985
Scale 3985: Thadian, Ian Ring Music TheoryThadian
6th mode:
Scale 505
Scale 505: Sanian, Ian Ring Music TheorySanian
7th mode:
Scale 575
Scale 575: Ionydian, Ian Ring Music TheoryIonydian

Prime

The prime form of this scale is Scale 319

Scale 319Scale 319: Epodian, Ian Ring Music TheoryEpodian

Complement

The heptatonic modal family [2335, 3215, 3655, 3875, 3985, 505, 575] (Forte: 7-3) is the complement of the pentatonic modal family [55, 1795, 2075, 2945, 3085] (Forte: 5-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2335 is 3859

Scale 3859Scale 3859: Aeolarian, Ian Ring Music TheoryAeolarian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2335 is chiral, and its enantiomorph is scale 3859

Scale 3859Scale 3859: Aeolarian, Ian Ring Music TheoryAeolarian

Transformations:

T0 2335  T0I 3859
T1 575  T1I 3623
T2 1150  T2I 3151
T3 2300  T3I 2207
T4 505  T4I 319
T5 1010  T5I 638
T6 2020  T6I 1276
T7 4040  T7I 2552
T8 3985  T8I 1009
T9 3875  T9I 2018
T10 3655  T10I 4036
T11 3215  T11I 3977

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 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 2331Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2319Scale 2319, Ian Ring Music Theory
Scale 2351Scale 2351: Gynian, Ian Ring Music TheoryGynian
Scale 2367Scale 2367: Laryllic, Ian Ring Music TheoryLaryllic
Scale 2399Scale 2399: Zanyllic, Ian Ring Music TheoryZanyllic
Scale 2463Scale 2463: Ionathyllic, Ian Ring Music TheoryIonathyllic
Scale 2079Scale 2079, Ian Ring Music Theory
Scale 2207Scale 2207: Mygian, Ian Ring Music TheoryMygian
Scale 2591Scale 2591, Ian Ring Music Theory
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 3359Scale 3359: Bonyllic, Ian Ring Music TheoryBonyllic
Scale 287Scale 287: Gynimic, Ian Ring Music TheoryGynimic
Scale 1311Scale 1311: Bynian, Ian Ring Music TheoryBynian

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.