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Scale 3713

Scale 3713, Ian Ring Music Theory
iiii

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,7,9,10,11}
Forte Number5-2
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes4
Prime?no
prime: 47
Chiralityyes
enantiomorph: 47
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 3713 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 61
Scale 61, Ian Ring Music Theory
3rd mode:
Scale 1039
Scale 1039, Ian Ring Music Theory
4th mode:
Scale 2567
Scale 2567, Ian Ring Music Theory
5th mode:
Scale 3331
Scale 3331, 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 [3713, 61, 1039, 2567, 3331] 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 3713 is 47

Scale 47Scale 47, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3713 is chiral, and its enantiomorph is scale 47

Scale 47Scale 47, 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 3715Scale 3715, Ian Ring Music Theory
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 3721Scale 3721, Ian Ring Music Theory
Scale 3729Scale 3729, Ian Ring Music Theory
Scale 3745Scale 3745, Ian Ring Music Theory
Scale 3777Scale 3777, Ian Ring Music Theory
Scale 3585Scale 3585, Ian Ring Music Theory
Scale 3649Scale 3649, Ian Ring Music Theory
Scale 3841Scale 3841, Ian Ring Music Theory
Scale 3969Scale 3969, Ian Ring Music Theory
Scale 3201Scale 3201, Ian Ring Music Theory
Scale 3457Scale 3457, Ian Ring Music Theory
Scale 2689Scale 2689, Ian Ring Music Theory
Scale 1665Scale 1665, 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