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Scale 3691

Scale 3691, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,5,6,9,10,11}
Forte Number8-Z15
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 863
Chiralityyes
enantiomorph: 2767
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3691 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3893
Scale 3893, Ian Ring Music Theory
3rd mode:
Scale 1997
Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani
4th mode:
Scale 1523
Scale 1523, Ian Ring Music Theory
5th mode:
Scale 2809
Scale 2809, Ian Ring Music Theory
6th mode:
Scale 863
Scale 863, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2479
Scale 2479, Ian Ring Music Theory
8th mode:
Scale 3287
Scale 3287, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 863

Scale 863Scale 863, Ian Ring Music Theory

Negative

The octatonic modal family [3691, 3893, 1997, 1523, 2809, 863, 2479, 3287] is the negative of the tetratonic modal family [83, 773, 1217, 2089]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3691 is 2767

Scale 2767Scale 2767, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3691 is chiral, and its enantiomorph is scale 2767

Scale 2767Scale 2767, 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 3689Scale 3689, Ian Ring Music Theory
Scale 3693Scale 3693, Ian Ring Music Theory
Scale 3695Scale 3695, Ian Ring Music Theory
Scale 3683Scale 3683, Ian Ring Music Theory
Scale 3687Scale 3687, Ian Ring Music Theory
Scale 3699Scale 3699, Ian Ring Music Theory
Scale 3707Scale 3707, Ian Ring Music Theory
Scale 3659Scale 3659, Ian Ring Music Theory
Scale 3675Scale 3675, Ian Ring Music Theory
Scale 3627Scale 3627, Ian Ring Music Theory
Scale 3755Scale 3755, Ian Ring Music Theory
Scale 3819Scale 3819, Ian Ring Music Theory
Scale 3947Scale 3947, Ian Ring Music Theory
Scale 3179Scale 3179, Ian Ring Music Theory
Scale 3435Scale 3435: Prokofiev, Ian Ring Music TheoryProkofiev
Scale 2667Scale 2667, Ian Ring Music Theory
Scale 1643Scale 1643: Locrian natural 6, Ian Ring Music TheoryLocrian natural 6

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