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Scale 1303: "Epolimic"

Scale 1303: Epolimic, 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
Epolimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,8,10}
Forte Number6-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3349
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 1303 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2699
Scale 2699: Sythimic, Ian Ring Music TheorySythimic
3rd mode:
Scale 3397
Scale 3397: Sydimic, Ian Ring Music TheorySydimic
4th mode:
Scale 1873
Scale 1873: Dathimic, Ian Ring Music TheoryDathimic
5th mode:
Scale 373
Scale 373: Epagimic, Ian Ring Music TheoryEpagimic
6th mode:
Scale 1117
Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic

Prime

The prime form of this scale is Scale 349

Scale 349Scale 349: Borimic, Ian Ring Music TheoryBorimic

Complement

The hexatonic modal family [1303, 2699, 3397, 1873, 373, 1117] (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 1303 is 3349

Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1303 is chiral, and its enantiomorph is scale 3349

Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic

Transformations:

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

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 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic
Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic
Scale 1307Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic
Scale 1311Scale 1311: Bynian, Ian Ring Music TheoryBynian
Scale 1287Scale 1287, Ian Ring Music Theory
Scale 1295Scale 1295, Ian Ring Music Theory
Scale 1319Scale 1319: Phronimic, Ian Ring Music TheoryPhronimic
Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 1431Scale 1431: Phragian, Ian Ring Music TheoryPhragian
Scale 1047Scale 1047, Ian Ring Music Theory
Scale 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian
Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic
Scale 791Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian

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.