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Scale 3547

Scale 3547, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,3,4,6,7,8,10,11}
Forte Number9-11
Rotational Symmetrynone
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
prime: 1775
enantiomorph: 2935
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 3547 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3821
Scale 3821, Ian Ring Music Theory
3rd mode:
Scale 1979
Scale 1979, Ian Ring Music Theory
4th mode:
Scale 3037
Scale 3037: nine tone scale, Ian Ring Music Theorynine tone scale
5th mode:
Scale 1783
Scale 1783: Youlan scale, Ian Ring Music TheoryYoulan scale
6th mode:
Scale 2939
Scale 2939, Ian Ring Music Theory
7th mode:
Scale 3517
Scale 3517, Ian Ring Music Theory
8th mode:
Scale 1903
Scale 1903, Ian Ring Music Theory
9th mode:
Scale 2999
Scale 2999, Ian Ring Music Theory


The prime form of this scale is Scale 1775

Scale 1775Scale 1775, Ian Ring Music Theory


The nonatonic modal family [3547, 3821, 1979, 3037, 1783, 2939, 3517, 1903, 2999] 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 3547 is 2935

Scale 2935Scale 2935, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3547 is chiral, and its enantiomorph is scale 2935

Scale 2935Scale 2935, 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 3545Scale 3545, Ian Ring Music Theory
Scale 3549Scale 3549: Messiaen mode 3 inverse, Ian Ring Music TheoryMessiaen mode 3 inverse
Scale 3551Scale 3551, Ian Ring Music Theory
Scale 3539Scale 3539, Ian Ring Music Theory
Scale 3543Scale 3543, Ian Ring Music Theory
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 3563Scale 3563, Ian Ring Music Theory
Scale 3579Scale 3579, Ian Ring Music Theory
Scale 3483Scale 3483, Ian Ring Music Theory
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 3419Scale 3419: Magan Abot, Ian Ring Music TheoryMagan Abot
Scale 3291Scale 3291, Ian Ring Music Theory
Scale 3803Scale 3803, Ian Ring Music Theory
Scale 4059Scale 4059, Ian Ring Music Theory
Scale 2523Scale 2523, Ian Ring Music Theory
Scale 3035Scale 3035, Ian Ring Music Theory
Scale 1499Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian

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