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Scale 317

Scale 317, Ian Ring Music Theory
iiii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,2,3,4,5,8}
Forte Number6-Z39
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?yes
Chiralityyes
enantiomorph: 1937
Deep Scaleno
Interval Vector333321
Interval Spectrump2m3n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,6,7}
<3> = {3,4,5,7,8,9}
<4> = {5,6,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Myhill Propertyno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 317 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1103
Scale 1103, Ian Ring Music Theory
3rd mode:
Scale 2599
Scale 2599, Ian Ring Music Theory
4th mode:
Scale 3347
Scale 3347, Ian Ring Music Theory
5th mode:
Scale 3721
Scale 3721, Ian Ring Music Theory
6th mode:
Scale 977
Scale 977, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Negative

The hexatonic modal family [317, 1103, 2599, 3347, 3721, 977] is the negative of the hexatonic modal family [187, 1559, 1889, 2141, 2827, 3461]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 317 is 1937

Scale 1937Scale 1937, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 317 is chiral, and its enantiomorph is scale 1937

Scale 1937Scale 1937, 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 319Scale 319, Ian Ring Music Theory
Scale 313Scale 313, Ian Ring Music Theory
Scale 315Scale 315, Ian Ring Music Theory
Scale 309Scale 309, Ian Ring Music Theory
Scale 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari
Scale 285Scale 285, Ian Ring Music Theory
Scale 349Scale 349, Ian Ring Music Theory
Scale 381Scale 381, Ian Ring Music Theory
Scale 445Scale 445, Ian Ring Music Theory
Scale 61Scale 61, Ian Ring Music Theory
Scale 189Scale 189, Ian Ring Music Theory
Scale 573Scale 573, Ian Ring Music Theory
Scale 829Scale 829, Ian Ring Music Theory
Scale 1341Scale 1341, Ian Ring Music Theory
Scale 2365Scale 2365, 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