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Scale 3231

Scale 3231, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,4,7,10,11}
Forte Number8-3
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 639
Chiralityno
Deep Scaleno
Interval Vector656542
Interval Spectrump4m5n6s5d6t2
Distribution Spectra<1> = {1,3}
<2> = {2,4,6}
<3> = {3,5,7}
<4> = {4,6,8}
<5> = {5,7,9}
<6> = {6,8,10}
<7> = {9,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3231 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3663
Scale 3663, Ian Ring Music Theory
3rd mode:
Scale 3879
Scale 3879, Ian Ring Music Theory
4th mode:
Scale 3987
Scale 3987, Ian Ring Music Theory
5th mode:
Scale 4041
Scale 4041, Ian Ring Music Theory
6th mode:
Scale 1017
Scale 1017, Ian Ring Music Theory
7th mode:
Scale 639
Scale 639, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2367
Scale 2367, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 639

Scale 639Scale 639, Ian Ring Music Theory

Negative

The octatonic modal family [3231, 3663, 3879, 3987, 4041, 1017, 639, 2367] is the negative of the tetratonic modal family [27, 1539, 2061, 2817]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3231 is 3879

Scale 3879Scale 3879, 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 3229Scale 3229, Ian Ring Music Theory
Scale 3227Scale 3227, Ian Ring Music Theory
Scale 3223Scale 3223, Ian Ring Music Theory
Scale 3215Scale 3215, Ian Ring Music Theory
Scale 3247Scale 3247, Ian Ring Music Theory
Scale 3263Scale 3263, Ian Ring Music Theory
Scale 3295Scale 3295, Ian Ring Music Theory
Scale 3103Scale 3103, Ian Ring Music Theory
Scale 3167Scale 3167, Ian Ring Music Theory
Scale 3359Scale 3359, Ian Ring Music Theory
Scale 3487Scale 3487, Ian Ring Music Theory
Scale 3743Scale 3743, Ian Ring Music Theory
Scale 2207Scale 2207, Ian Ring Music Theory
Scale 2719Scale 2719, Ian Ring Music Theory
Scale 1183Scale 1183, 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