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Scale 3197

Scale 3197, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,2,3,4,5,6,10,11}
Forte Number8-5
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 479
Chiralityyes
enantiomorph: 1991
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 3197 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1823
Scale 1823, Ian Ring Music Theory
3rd mode:
Scale 2959
Scale 2959, Ian Ring Music Theory
4th mode:
Scale 3527
Scale 3527, Ian Ring Music Theory
5th mode:
Scale 3811
Scale 3811, Ian Ring Music Theory
6th mode:
Scale 3953
Scale 3953, Ian Ring Music Theory
7th mode:
Scale 503
Scale 503, Ian Ring Music Theory
8th mode:
Scale 2299
Scale 2299, 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 [3197, 1823, 2959, 3527, 3811, 3953, 503, 2299] 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 3197 is 1991

Scale 1991Scale 1991, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3197 is chiral, and its enantiomorph is scale 1991

Scale 1991Scale 1991, 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 3199Scale 3199, Ian Ring Music Theory
Scale 3193Scale 3193, Ian Ring Music Theory
Scale 3195Scale 3195, Ian Ring Music Theory
Scale 3189Scale 3189, Ian Ring Music Theory
Scale 3181Scale 3181, Ian Ring Music Theory
Scale 3165Scale 3165, Ian Ring Music Theory
Scale 3133Scale 3133, Ian Ring Music Theory
Scale 3261Scale 3261, Ian Ring Music Theory
Scale 3325Scale 3325, Ian Ring Music Theory
Scale 3453Scale 3453, Ian Ring Music Theory
Scale 3709Scale 3709, Ian Ring Music Theory
Scale 2173Scale 2173, Ian Ring Music Theory
Scale 2685Scale 2685, Ian Ring Music Theory
Scale 1149Scale 1149, 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