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Scale 3517

Scale 3517, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,5,7,8,10,11}
Forte Number9-11
Rotational Symmetrynone
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 1775
enantiomorph: 1975
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 3517 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1903
Scale 1903, Ian Ring Music Theory
3rd mode:
Scale 2999
Scale 2999, Ian Ring Music Theory
4th mode:
Scale 3547
Scale 3547, Ian Ring Music Theory
5th mode:
Scale 3821
Scale 3821, Ian Ring Music Theory
6th mode:
Scale 1979
Scale 1979, Ian Ring Music Theory
7th mode:
Scale 3037
Scale 3037: nine tone scale, Ian Ring Music Theorynine tone scale
8th mode:
Scale 1783
Scale 1783: Youlan scale, Ian Ring Music TheoryYoulan scale
9th mode:
Scale 2939
Scale 2939, Ian Ring Music Theory


The prime form of this scale is Scale 1775

Scale 1775Scale 1775, Ian Ring Music Theory


The nonatonic modal family [3517, 1903, 2999, 3547, 3821, 1979, 3037, 1783, 2939] 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 3517 is 1975

Scale 1975Scale 1975, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3517 is chiral, and its enantiomorph is scale 1975

Scale 1975Scale 1975, 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 3519Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
Scale 3513Scale 3513, Ian Ring Music Theory
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 3509Scale 3509, Ian Ring Music Theory
Scale 3501Scale 3501: Maqam Nahawand, Ian Ring Music TheoryMaqam Nahawand
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3549Scale 3549: Messiaen mode 3 inverse, Ian Ring Music TheoryMessiaen mode 3 inverse
Scale 3581Scale 3581, Ian Ring Music Theory
Scale 3389Scale 3389, Ian Ring Music Theory
Scale 3453Scale 3453, Ian Ring Music Theory
Scale 3261Scale 3261, Ian Ring Music Theory
Scale 3773Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
Scale 4029Scale 4029: Major/Minor mixed, Ian Ring Music TheoryMajor/Minor mixed
Scale 2493Scale 2493, Ian Ring Music Theory
Scale 3005Scale 3005, Ian Ring Music Theory
Scale 1469Scale 1469, 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