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Scale 3657

Scale 3657, Ian Ring Music Theory
iiii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,3,6,9,10,11}
Forte Number6-Z42
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 591
Chiralityno
Deep Scaleno
Interval Vector324222
Interval Spectrump2m2n4s2d3t2
Distribution Spectra<1> = {1,3}
<2> = {2,4,6}
<3> = {3,5,7,9}
<4> = {6,8,10}
<5> = {9,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3657 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 969
Scale 969, Ian Ring Music Theory
3rd mode:
Scale 633
Scale 633, Ian Ring Music Theory
4th mode:
Scale 591
Scale 591, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2343
Scale 2343, Ian Ring Music Theory
6th mode:
Scale 3219
Scale 3219, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 591

Scale 591Scale 591, Ian Ring Music Theory

Negative

The hexatonic modal family [3657, 969, 633, 591, 2343, 3219] is the negative of the hexatonic modal family [219, 1563, 1731, 2157, 2829, 2913]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3657 is 591

Scale 591Scale 591, 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 3659Scale 3659, Ian Ring Music Theory
Scale 3661Scale 3661, Ian Ring Music Theory
Scale 3649Scale 3649, Ian Ring Music Theory
Scale 3653Scale 3653, Ian Ring Music Theory
Scale 3665Scale 3665, Ian Ring Music Theory
Scale 3673Scale 3673, Ian Ring Music Theory
Scale 3689Scale 3689, Ian Ring Music Theory
Scale 3593Scale 3593, Ian Ring Music Theory
Scale 3625Scale 3625, Ian Ring Music Theory
Scale 3721Scale 3721, Ian Ring Music Theory
Scale 3785Scale 3785, Ian Ring Music Theory
Scale 3913Scale 3913, Ian Ring Music Theory
Scale 3145Scale 3145, Ian Ring Music Theory
Scale 3401Scale 3401, Ian Ring Music Theory
Scale 2633Scale 2633, Ian Ring Music Theory
Scale 1609Scale 1609, 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