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Scale 3213

Scale 3213, Ian Ring Music Theory
iii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,2,3,7,10,11}
Forte Number6-14
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 315
Chiralityyes
enantiomorph: 1575
Deep Scaleno
Interval Vector323430
Interval Spectrump3m4n3s2d3
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,5,7,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3213 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1827
Scale 1827, Ian Ring Music Theory
3rd mode:
Scale 2961
Scale 2961, Ian Ring Music Theory
4th mode:
Scale 441
Scale 441, Ian Ring Music Theory
5th mode:
Scale 567
Scale 567, Ian Ring Music Theory
6th mode:
Scale 2331
Scale 2331, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 315

Scale 315Scale 315, Ian Ring Music Theory

Negative

The hexatonic modal family [3213, 1827, 2961, 441, 567, 2331] is the negative of the hexatonic modal family [315, 945, 1575, 2205, 2835, 3465]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3213 is 1575

Scale 1575Scale 1575, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3213 is chiral, and its enantiomorph is scale 1575

Scale 1575Scale 1575, 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 3215Scale 3215, Ian Ring Music Theory
Scale 3209Scale 3209, Ian Ring Music Theory
Scale 3211Scale 3211, Ian Ring Music Theory
Scale 3205Scale 3205, Ian Ring Music Theory
Scale 3221Scale 3221, Ian Ring Music Theory
Scale 3229Scale 3229, Ian Ring Music Theory
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3085Scale 3085, Ian Ring Music Theory
Scale 3149Scale 3149, Ian Ring Music Theory
Scale 3341Scale 3341, Ian Ring Music Theory
Scale 3469Scale 3469, Ian Ring Music Theory
Scale 3725Scale 3725, Ian Ring Music Theory
Scale 2189Scale 2189, Ian Ring Music Theory
Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
Scale 1165Scale 1165, 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