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Scale 3021

Scale 3021, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,2,3,6,7,8,9,11}
Forte Number8-18
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 879
Chiralityyes
enantiomorph: 1659
Deep Scaleno
Interval Vector546553
Interval Spectrump5m5n6s4d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3021 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1779
Scale 1779, Ian Ring Music Theory
3rd mode:
Scale 2937
Scale 2937, Ian Ring Music Theory
4th mode:
Scale 879
Scale 879, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2487
Scale 2487, Ian Ring Music Theory
6th mode:
Scale 3291
Scale 3291, Ian Ring Music Theory
7th mode:
Scale 3693
Scale 3693, Ian Ring Music Theory
8th mode:
Scale 1947
Scale 1947, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 879

Scale 879Scale 879, Ian Ring Music Theory

Negative

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

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3021 is 1659

Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3021 is chiral, and its enantiomorph is scale 1659

Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban

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 3023Scale 3023, Ian Ring Music Theory
Scale 3017Scale 3017, Ian Ring Music Theory
Scale 3019Scale 3019, Ian Ring Music Theory
Scale 3013Scale 3013, Ian Ring Music Theory
Scale 3029Scale 3029, Ian Ring Music Theory
Scale 3037Scale 3037: nine tone scale, Ian Ring Music Theorynine tone scale
Scale 3053Scale 3053, Ian Ring Music Theory
Scale 2957Scale 2957, Ian Ring Music Theory
Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor
Scale 2893Scale 2893, Ian Ring Music Theory
Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 2509Scale 2509: Double Harmonic Minor, Ian Ring Music TheoryDouble Harmonic Minor
Scale 3533Scale 3533, Ian Ring Music Theory
Scale 4045Scale 4045, Ian Ring Music Theory
Scale 973Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani

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