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Scale 2187

Scale 2187, Ian Ring Music Theory
iiii

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,1,3,7,11}
Forte Number5-13
Rotational Symmetrynone
Palindromicno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 279
Chiralityyes
enantiomorph: 2595
Deep Scaleno
Interval Vector221311
Interval Spectrumpm3ns2d2t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
<4> = {8,10,11}
Spectra Variation3.6
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2187 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3141
Scale 3141, Ian Ring Music Theory
3rd mode:
Scale 1809
Scale 1809, Ian Ring Music Theory
4th mode:
Scale 369
Scale 369, Ian Ring Music Theory
5th mode:
Scale 279
Scale 279, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 279

Scale 279Scale 279, Ian Ring Music Theory

Negative

The pentatonic modal family [2187, 3141, 1809, 369, 279] is the negative of the heptatonic modal family [375, 1815, 1905, 2235, 2955, 3165, 3525]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2187 is 2595

Scale 2595Scale 2595, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2187 is chiral, and its enantiomorph is scale 2595

Scale 2595Scale 2595, 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 2185Scale 2185, Ian Ring Music Theory
Scale 2189Scale 2189, Ian Ring Music Theory
Scale 2191Scale 2191, Ian Ring Music Theory
Scale 2179Scale 2179, Ian Ring Music Theory
Scale 2183Scale 2183, Ian Ring Music Theory
Scale 2195Scale 2195, Ian Ring Music Theory
Scale 2203Scale 2203, Ian Ring Music Theory
Scale 2219Scale 2219, Ian Ring Music Theory
Scale 2251Scale 2251, Ian Ring Music Theory
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 2123Scale 2123, Ian Ring Music Theory
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 2443Scale 2443, Ian Ring Music Theory
Scale 2699Scale 2699, Ian Ring Music Theory
Scale 3211Scale 3211, Ian Ring Music Theory
Scale 139Scale 139, Ian Ring Music Theory
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi

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