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Scale 3291

Scale 3291, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,4,6,7,10,11}
Forte Number8-18
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 879
Chiralityyes
enantiomorph: 2919
Deep Scaleno
Interval Vector546553
Interval Spectrump5m5n6s4d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3291 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3693
Scale 3693, Ian Ring Music Theory
3rd mode:
Scale 1947
Scale 1947, Ian Ring Music Theory
4th mode:
Scale 3021
Scale 3021, Ian Ring Music Theory
5th mode:
Scale 1779
Scale 1779, Ian Ring Music Theory
6th mode:
Scale 2937
Scale 2937, Ian Ring Music Theory
7th mode:
Scale 879
Scale 879, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2487
Scale 2487, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 879

Scale 879Scale 879, Ian Ring Music Theory

Negative

The octatonic modal family [3291, 3693, 1947, 3021, 1779, 2937, 879, 2487] is the negative of the tetratonic modal family [147, 609, 777, 2121]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3291 is 2919

Scale 2919Scale 2919, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3291 is chiral, and its enantiomorph is scale 2919

Scale 2919Scale 2919, 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 3289Scale 3289: Lydian Sharp 2 Sharp 6, Ian Ring Music TheoryLydian Sharp 2 Sharp 6
Scale 3293Scale 3293, Ian Ring Music Theory
Scale 3295Scale 3295, Ian Ring Music Theory
Scale 3283Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
Scale 3287Scale 3287, Ian Ring Music Theory
Scale 3275Scale 3275: Mela Divyamani, Ian Ring Music TheoryMela Divyamani
Scale 3307Scale 3307, Ian Ring Music Theory
Scale 3323Scale 3323, Ian Ring Music Theory
Scale 3227Scale 3227, Ian Ring Music Theory
Scale 3259Scale 3259, Ian Ring Music Theory
Scale 3163Scale 3163, Ian Ring Music Theory
Scale 3419Scale 3419: Magan Abot, Ian Ring Music TheoryMagan Abot
Scale 3547Scale 3547, Ian Ring Music Theory
Scale 3803Scale 3803, Ian Ring Music Theory
Scale 2267Scale 2267, Ian Ring Music Theory
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 1243Scale 1243, 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