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Scale 3113

Scale 3113, Ian Ring Music Theory
ii

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,3,5,10,11}
Forte Number5-14
Rotational Symmetrynone
Palindromicno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes4
Prime?no
prime: 167
Chiralityyes
enantiomorph: 647
Deep Scaleno
Interval Vector221131
Interval Spectrump3mns2d2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,4,5,6,7}
<3> = {5,6,7,8,10}
<4> = {7,9,10,11}
Spectra Variation3.6
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3113 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 901
Scale 901, Ian Ring Music Theory
3rd mode:
Scale 1249
Scale 1249, Ian Ring Music Theory
4th mode:
Scale 167
Scale 167, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2131
Scale 2131, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 167

Scale 167Scale 167, Ian Ring Music Theory

Negative

The pentatonic modal family [3113, 901, 1249, 167, 2131] is the negative of the heptatonic modal family [431, 1507, 1933, 2263, 2801, 3179, 3637]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3113 is 647

Scale 647Scale 647, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3113 is chiral, and its enantiomorph is scale 647

Scale 647Scale 647, 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 3115Scale 3115, Ian Ring Music Theory
Scale 3117Scale 3117, Ian Ring Music Theory
Scale 3105Scale 3105, Ian Ring Music Theory
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 3121Scale 3121, Ian Ring Music Theory
Scale 3129Scale 3129, Ian Ring Music Theory
Scale 3081Scale 3081, Ian Ring Music Theory
Scale 3097Scale 3097, Ian Ring Music Theory
Scale 3145Scale 3145, Ian Ring Music Theory
Scale 3177Scale 3177, Ian Ring Music Theory
Scale 3241Scale 3241, Ian Ring Music Theory
Scale 3369Scale 3369, Ian Ring Music Theory
Scale 3625Scale 3625, Ian Ring Music Theory
Scale 2089Scale 2089, Ian Ring Music Theory
Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 1065Scale 1065, 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