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Scale 2121

Scale 2121, Ian Ring Music Theory
iii

i = imperfections

Tones4 (tetratonic)
Pitch Class Set{0,3,6,11}
Forte Number4-18
Rotational Symmetrynone
Palindromicno
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 147
Chiralityyes
enantiomorph: 579
Deep Scaleno
Interval Vector102111
Interval Spectrumpmn2dt
Distribution Spectra<1> = {1,3,5}
<2> = {4,6,8}
<3> = {7,9,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2121 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 777
Scale 777, Ian Ring Music Theory
3rd mode:
Scale 609
Scale 609, Ian Ring Music Theory
4th mode:
Scale 147
Scale 147, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 147

Scale 147Scale 147, Ian Ring Music Theory

Negative

The tetratonic modal family [2121, 777, 609, 147] is the negative of the octatonic modal family [879, 1779, 1947, 2487, 2937, 3021, 3291, 3693]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2121 is 579

Scale 579Scale 579, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2121 is chiral, and its enantiomorph is scale 579

Scale 579Scale 579, 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 2123Scale 2123, Ian Ring Music Theory
Scale 2125Scale 2125, Ian Ring Music Theory
Scale 2113Scale 2113, Ian Ring Music Theory
Scale 2117Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam
Scale 2129Scale 2129: Raga Nigamagamini, Ian Ring Music TheoryRaga Nigamagamini
Scale 2137Scale 2137, Ian Ring Music Theory
Scale 2153Scale 2153, Ian Ring Music Theory
Scale 2057Scale 2057, Ian Ring Music Theory
Scale 2089Scale 2089, Ian Ring Music Theory
Scale 2185Scale 2185, Ian Ring Music Theory
Scale 2249Scale 2249: Raga Multani, Ian Ring Music TheoryRaga Multani
Scale 2377Scale 2377, Ian Ring Music Theory
Scale 2633Scale 2633, Ian Ring Music Theory
Scale 3145Scale 3145, Ian Ring Music Theory
Scale 73Scale 73, Ian Ring Music Theory
Scale 1097Scale 1097, 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