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Scale 3721

Scale 3721, Ian Ring Music Theory
iiii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,3,7,9,10,11}
Forte Number6-Z39
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 317
Chiralityyes
enantiomorph: 559
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
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3721 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 977
Scale 977, Ian Ring Music Theory
3rd mode:
Scale 317
Scale 317, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 1103
Scale 1103, Ian Ring Music Theory
5th mode:
Scale 2599
Scale 2599, Ian Ring Music Theory
6th mode:
Scale 3347
Scale 3347, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 317

Scale 317Scale 317, Ian Ring Music Theory

Negative

The hexatonic modal family [3721, 977, 317, 1103, 2599, 3347] 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 3721 is 559

Scale 559Scale 559, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3721 is chiral, and its enantiomorph is scale 559

Scale 559Scale 559, 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 3723Scale 3723, Ian Ring Music Theory
Scale 3725Scale 3725, Ian Ring Music Theory
Scale 3713Scale 3713, Ian Ring Music Theory
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 3729Scale 3729, Ian Ring Music Theory
Scale 3737Scale 3737, Ian Ring Music Theory
Scale 3753Scale 3753, Ian Ring Music Theory
Scale 3785Scale 3785, Ian Ring Music Theory
Scale 3593Scale 3593, Ian Ring Music Theory
Scale 3657Scale 3657, Ian Ring Music Theory
Scale 3849Scale 3849, Ian Ring Music Theory
Scale 3977Scale 3977, Ian Ring Music Theory
Scale 3209Scale 3209, Ian Ring Music Theory
Scale 3465Scale 3465, Ian Ring Music Theory
Scale 2697Scale 2697, Ian Ring Music Theory
Scale 1673Scale 1673, 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