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Scale 3643

Scale 3643, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,4,5,9,10,11}
Forte Number8-5
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 479
Chiralityyes
enantiomorph: 2959
Deep Scaleno
Interval Vector654553
Interval Spectrump5m5n4s5d6t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation2.75
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3643 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3869
Scale 3869, Ian Ring Music Theory
3rd mode:
Scale 1991
Scale 1991, Ian Ring Music Theory
4th mode:
Scale 3043
Scale 3043, Ian Ring Music Theory
5th mode:
Scale 3569
Scale 3569, Ian Ring Music Theory
6th mode:
Scale 479
Scale 479, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2287
Scale 2287, Ian Ring Music Theory
8th mode:
Scale 3191
Scale 3191, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 479

Scale 479Scale 479, Ian Ring Music Theory

Negative

The octatonic modal family [3643, 3869, 1991, 3043, 3569, 479, 2287, 3191] is the negative of the tetratonic modal family [71, 449, 2083, 3089]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3643 is 2959

Scale 2959Scale 2959, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3643 is chiral, and its enantiomorph is scale 2959

Scale 2959Scale 2959, 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 3641Scale 3641, Ian Ring Music Theory
Scale 3645Scale 3645, Ian Ring Music Theory
Scale 3647Scale 3647, Ian Ring Music Theory
Scale 3635Scale 3635, Ian Ring Music Theory
Scale 3639Scale 3639, Ian Ring Music Theory
Scale 3627Scale 3627, Ian Ring Music Theory
Scale 3611Scale 3611, Ian Ring Music Theory
Scale 3675Scale 3675, Ian Ring Music Theory
Scale 3707Scale 3707, Ian Ring Music Theory
Scale 3771Scale 3771, Ian Ring Music Theory
Scale 3899Scale 3899, Ian Ring Music Theory
Scale 3131Scale 3131, Ian Ring Music Theory
Scale 3387Scale 3387, Ian Ring Music Theory
Scale 2619Scale 2619, Ian Ring Music Theory
Scale 1595Scale 1595, 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