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Scale 3515: "Moorish Phrygian"

Also known as: Phrygian/Double Harmonic Major mixed

Scale 3515: Moorish Phrygian, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,3,4,5,7,8,10,11}
Forte Number9-11
Rotational Symmetrynone
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 1775
enantiomorph: 2999
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 3515 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3805
Scale 3805, Ian Ring Music Theory
3rd mode:
Scale 1975
Scale 1975, Ian Ring Music Theory
4th mode:
Scale 3035
Scale 3035, Ian Ring Music Theory
5th mode:
Scale 3565
Scale 3565, Ian Ring Music Theory
6th mode:
Scale 1915
Scale 1915, Ian Ring Music Theory
7th mode:
Scale 3005
Scale 3005, Ian Ring Music Theory
8th mode:
Scale 1775
Scale 1775, Ian Ring Music TheoryThis is the prime mode
9th mode:
Scale 2935
Scale 2935, Ian Ring Music Theory


The prime form of this scale is Scale 1775

Scale 1775Scale 1775, Ian Ring Music Theory


The nonatonic modal family [3515, 3805, 1975, 3035, 3565, 1915, 3005, 1775, 2935] is the negative of the tritonic modal family [137, 289, 529]


The inverse of a scale is a reflection using the root as its axis. The inverse of 3515 is 2999

Scale 2999Scale 2999, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3515 is chiral, and its enantiomorph is scale 2999

Scale 2999Scale 2999, Ian Ring Music Theory

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 3513Scale 3513, Ian Ring Music Theory
Scale 3517Scale 3517, Ian Ring Music Theory
Scale 3519Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
Scale 3507Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
Scale 3511Scale 3511, Ian Ring Music Theory
Scale 3499Scale 3499: Hamel, Ian Ring Music TheoryHamel
Scale 3483Scale 3483, Ian Ring Music Theory
Scale 3547Scale 3547, Ian Ring Music Theory
Scale 3579Scale 3579, Ian Ring Music Theory
Scale 3387Scale 3387, Ian Ring Music Theory
Scale 3451Scale 3451, Ian Ring Music Theory
Scale 3259Scale 3259, Ian Ring Music Theory
Scale 3771Scale 3771, Ian Ring Music Theory
Scale 4027Scale 4027, Ian Ring Music Theory
Scale 2491Scale 2491, Ian Ring Music Theory
Scale 3003Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum
Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian

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