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Scale 3631

Scale 3631, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,5,9,10,11}
Forte Number8-2
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 383
Chiralityyes
enantiomorph: 3727
Deep Scaleno
Interval Vector665542
Interval Spectrump4m5n5s6d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {6,7,9,10}
<7> = {8,10,11}
Spectra Variation3.25
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3631 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3863
Scale 3863, Ian Ring Music Theory
3rd mode:
Scale 3979
Scale 3979, Ian Ring Music Theory
4th mode:
Scale 4037
Scale 4037, Ian Ring Music Theory
5th mode:
Scale 2033
Scale 2033, Ian Ring Music Theory
6th mode:
Scale 383
Scale 383, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2239
Scale 2239, Ian Ring Music Theory
8th mode:
Scale 3167
Scale 3167, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 383

Scale 383Scale 383, Ian Ring Music Theory

Negative

The octatonic modal family [3631, 3863, 3979, 4037, 2033, 383, 2239, 3167] is the negative of the tetratonic modal family [23, 1793, 2059, 3077]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3631 is 3727

Scale 3727Scale 3727, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3631 is chiral, and its enantiomorph is scale 3727

Scale 3727Scale 3727, 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 3629Scale 3629, Ian Ring Music Theory
Scale 3627Scale 3627, Ian Ring Music Theory
Scale 3623Scale 3623, Ian Ring Music Theory
Scale 3639Scale 3639, Ian Ring Music Theory
Scale 3647Scale 3647, Ian Ring Music Theory
Scale 3599Scale 3599, Ian Ring Music Theory
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3663Scale 3663, Ian Ring Music Theory
Scale 3695Scale 3695, Ian Ring Music Theory
Scale 3759Scale 3759, Ian Ring Music Theory
Scale 3887Scale 3887, Ian Ring Music Theory
Scale 3119Scale 3119, Ian Ring Music Theory
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 2607Scale 2607, Ian Ring Music Theory
Scale 1583Scale 1583, 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