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Scale 3121

Scale 3121, Ian Ring Music Theory
ii

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,4,5,10,11}
Forte Number5-7
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes4
Prime?no
prime: 199
Chiralityyes
enantiomorph: 391
Deep Scaleno
Interval Vector310132
Interval Spectrump3msd3t2
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6}
<3> = {6,7,10}
<4> = {7,8,11}
Spectra Variation3.2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3121 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 451
Scale 451: Raga Saugandhini, Ian Ring Music TheoryRaga Saugandhini
3rd mode:
Scale 2273
Scale 2273, Ian Ring Music Theory
4th mode:
Scale 199
Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga NabhomaniThis is the prime mode
5th mode:
Scale 2147
Scale 2147, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 199

Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani

Negative

The pentatonic modal family [3121, 451, 2273, 199, 2147] is the negative of the heptatonic modal family [463, 967, 2279, 2531, 3187, 3313, 3641]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3121 is 391

Scale 391Scale 391, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3121 is chiral, and its enantiomorph is scale 391

Scale 391Scale 391, 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 3123Scale 3123, Ian Ring Music Theory
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3129Scale 3129, Ian Ring Music Theory
Scale 3105Scale 3105, Ian Ring Music Theory
Scale 3113Scale 3113, Ian Ring Music Theory
Scale 3089Scale 3089, Ian Ring Music Theory
Scale 3153Scale 3153, Ian Ring Music Theory
Scale 3185Scale 3185: Messiaen mode 5 inverse, Ian Ring Music TheoryMessiaen mode 5 inverse
Scale 3249Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
Scale 3377Scale 3377, Ian Ring Music Theory
Scale 3633Scale 3633, Ian Ring Music Theory
Scale 2097Scale 2097, Ian Ring Music Theory
Scale 2609Scale 2609: Raga Bhinna Shadja, Ian Ring Music TheoryRaga Bhinna Shadja
Scale 1073Scale 1073, 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