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Scale 2315

Scale 2315, Ian Ring Music Theory


Cardinality5 (pentatonic)
Pitch Class Set{0,1,3,8,11}
Forte Number5-11
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2579
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 157
Deep Scaleno
Interval Vector222220
Interval Spectrump2m2n2s2d2
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,3,4,7,8}
<3> = {4,5,8,9,10}
<4> = {7,9,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 2315 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3205
Scale 3205, Ian Ring Music Theory
3rd mode:
Scale 1825
Scale 1825, Ian Ring Music Theory
4th mode:
Scale 185
Scale 185, Ian Ring Music Theory
5th mode:
Scale 535
Scale 535, Ian Ring Music Theory


The prime form of this scale is Scale 157

Scale 157Scale 157, Ian Ring Music Theory


The pentatonic modal family [2315, 3205, 1825, 185, 535] (Forte: 5-11) is the complement of the heptatonic modal family [379, 1583, 1969, 2237, 2839, 3467, 3781] (Forte: 7-11)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2315 is 2579

Scale 2579Scale 2579, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2315 is chiral, and its enantiomorph is scale 2579

Scale 2579Scale 2579, Ian Ring Music Theory


T0 2315  T0I 2579
T1 535  T1I 1063
T2 1070  T2I 2126
T3 2140  T3I 157
T4 185  T4I 314
T5 370  T5I 628
T6 740  T6I 1256
T7 1480  T7I 2512
T8 2960  T8I 929
T9 1825  T9I 1858
T10 3650  T10I 3716
T11 3205  T11I 3337

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 2313Scale 2313, Ian Ring Music Theory
Scale 2317Scale 2317, Ian Ring Music Theory
Scale 2319Scale 2319, Ian Ring Music Theory
Scale 2307Scale 2307, Ian Ring Music Theory
Scale 2311Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya
Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic
Scale 2331Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 2187Scale 2187: Ionothitonic, Ian Ring Music TheoryIonothitonic
Scale 2571Scale 2571, Ian Ring Music Theory
Scale 2827Scale 2827, Ian Ring Music Theory
Scale 3339Scale 3339, Ian Ring Music Theory
Scale 267Scale 267, Ian Ring Music Theory
Scale 1291Scale 1291, Ian Ring Music Theory

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