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Scale 3173

Scale 3173, Ian Ring Music Theory
iii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,2,5,6,10,11}
Forte Number6-Z17
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 407
Chiralityyes
enantiomorph: 1223
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {4,6,8}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3173 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1817		Scale 1817, Ian Ring Music Theory
3rd mode:
Scale 739		Scale 739, Ian Ring Music Theory
4th mode:
Scale 2417		Scale 2417, Ian Ring Music Theory
5th mode:
Scale 407		Scale 407, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2251		Scale 2251, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 407

Scale 407Scale 407, Ian Ring Music Theory

Negative

The hexatonic modal family [3173, 1817, 739, 2417, 407, 2251] is the negative of the hexatonic modal family [359, 907, 1649, 2227, 2501, 3161]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3173 is 1223

Scale 1223Scale 1223, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3173 is chiral, and its enantiomorph is scale 1223

Scale 1223Scale 1223, 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 3175Scale 3175, Ian Ring Music Theory
Scale 3169Scale 3169, Ian Ring Music Theory
Scale 3171Scale 3171, Ian Ring Music Theory
Scale 3177Scale 3177, Ian Ring Music Theory
Scale 3181Scale 3181, Ian Ring Music Theory
Scale 3189Scale 3189, Ian Ring Music Theory
Scale 3141Scale 3141, Ian Ring Music Theory
Scale 3157Scale 3157, Ian Ring Music Theory
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 3237Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
Scale 3301Scale 3301: Chromatic Mixolydian inverse, Ian Ring Music TheoryChromatic Mixolydian inverse
Scale 3429Scale 3429, Ian Ring Music Theory
Scale 3685Scale 3685, Ian Ring Music Theory
Scale 2149Scale 2149, Ian Ring Music Theory
Scale 2661Scale 2661, Ian Ring Music Theory
Scale 1125Scale 1125, 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