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Scale 3331

Scale 3331, Ian Ring Music Theory
iiii

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,1,8,10,11}
Forte Number5-2
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes4
Prime?no
prime: 47
Chiralityyes
enantiomorph: 2071
Deep Scaleno
Interval Vector332110
Interval Spectrumpmn2s3d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8,9}
<3> = {3,4,9,10}
<4> = {5,10,11}
Spectra Variation5.2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3331 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3713
Scale 3713, Ian Ring Music Theory
3rd mode:
Scale 61
Scale 61, Ian Ring Music Theory
4th mode:
Scale 1039
Scale 1039, Ian Ring Music Theory
5th mode:
Scale 2567
Scale 2567, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 47

Scale 47Scale 47, Ian Ring Music Theory

Negative

The pentatonic modal family [3331, 3713, 61, 1039, 2567] is the negative of the heptatonic modal family [191, 2017, 2143, 3119, 3607, 3851, 3973]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3331 is 2071

Scale 2071Scale 2071, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3331 is chiral, and its enantiomorph is scale 2071

Scale 2071Scale 2071, 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 3329Scale 3329, Ian Ring Music Theory
Scale 3333Scale 3333, Ian Ring Music Theory
Scale 3335Scale 3335, Ian Ring Music Theory
Scale 3339Scale 3339, Ian Ring Music Theory
Scale 3347Scale 3347, Ian Ring Music Theory
Scale 3363Scale 3363, Ian Ring Music Theory
Scale 3395Scale 3395, Ian Ring Music Theory
Scale 3459Scale 3459, Ian Ring Music Theory
Scale 3075Scale 3075, Ian Ring Music Theory
Scale 3203Scale 3203, Ian Ring Music Theory
Scale 3587Scale 3587, Ian Ring Music Theory
Scale 3843Scale 3843, Ian Ring Music Theory
Scale 2307Scale 2307, Ian Ring Music Theory
Scale 2819Scale 2819, Ian Ring Music Theory
Scale 1283Scale 1283, 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