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Scale 2117: "Raga Sumukam"

Scale 2117: Raga Sumukam, Ian Ring Music Theory

i = imperfections

Tones4 (tetratonic)
Pitch Class Set{0,2,6,11}
Forte Number4-Z29
Rotational Symmetrynone
Palindromicno
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 139
Chiralityyes
enantiomorph: 1091
Deep Scaleno
Interval Vector111111
Interval Spectrumpmnsdt
Distribution Spectra<1> = {1,2,4,5}
<2> = {3,6,9}
<3> = {7,8,10,11}
Spectra Variation3.5
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2117 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1553
Scale 1553, Ian Ring Music Theory
3rd mode:
Scale 353
Scale 353, Ian Ring Music Theory
4th mode:
Scale 139
Scale 139, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 139

Scale 139Scale 139, Ian Ring Music Theory

Negative

The tetratonic modal family [2117, 1553, 353, 139] is the negative of the octatonic modal family [751, 1913, 1943, 2423, 3019, 3259, 3557, 3677]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2117 is 1091

Scale 1091Scale 1091, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2117 is chiral, and its enantiomorph is scale 1091

Scale 1091Scale 1091, 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 2119Scale 2119, Ian Ring Music Theory
Scale 2113Scale 2113, Ian Ring Music Theory
Scale 2115Scale 2115, Ian Ring Music Theory
Scale 2121Scale 2121, Ian Ring Music Theory
Scale 2125Scale 2125, Ian Ring Music Theory
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2149Scale 2149, Ian Ring Music Theory
Scale 2053Scale 2053, Ian Ring Music Theory
Scale 2085Scale 2085, Ian Ring Music Theory
Scale 2181Scale 2181, Ian Ring Music Theory
Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti
Scale 2373Scale 2373, Ian Ring Music Theory
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 3141Scale 3141, Ian Ring Music Theory
Scale 69Scale 69, Ian Ring Music Theory
Scale 1093Scale 1093, 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