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Scale 2131

Scale 2131, Ian Ring Music Theory

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,1,4,6,11}
Forte Number5-14
Rotational Symmetrynone
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 167
enantiomorph: 2371
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


Modes are the rotational transformation of this scale. Scale 2131 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3113
Scale 3113, Ian Ring Music Theory
3rd mode:
Scale 901
Scale 901, Ian Ring Music Theory
4th mode:
Scale 1249
Scale 1249, Ian Ring Music Theory
5th mode:
Scale 167
Scale 167, Ian Ring Music TheoryThis is the prime mode


The prime form of this scale is Scale 167

Scale 167Scale 167, Ian Ring Music Theory


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


The inverse of a scale is a reflection using the root as its axis. The inverse of 2131 is 2371

Scale 2371Scale 2371, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2131 is chiral, and its enantiomorph is scale 2371

Scale 2371Scale 2371, 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 2129Scale 2129: Raga Nigamagamini, Ian Ring Music TheoryRaga Nigamagamini
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2139Scale 2139, Ian Ring Music Theory
Scale 2115Scale 2115, Ian Ring Music Theory
Scale 2123Scale 2123, Ian Ring Music Theory
Scale 2147Scale 2147, Ian Ring Music Theory
Scale 2163Scale 2163, Ian Ring Music Theory
Scale 2067Scale 2067, Ian Ring Music Theory
Scale 2099Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
Scale 2195Scale 2195, Ian Ring Music Theory
Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
Scale 2387Scale 2387, Ian Ring Music Theory
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 3155Scale 3155, Ian Ring Music Theory
Scale 83Scale 83, Ian Ring Music Theory
Scale 1107Scale 1107, 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