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Scale 4093

Scale 4093, Ian Ring Music Theory

i = imperfections

Tones11 (undecatonic)
Pitch Class Set{0,2,3,4,5,6,7,8,9,10,11}
Forte Number11-1
Rotational Symmetrynone
Hemitonia10 (multihemitonic)
Cohemitonia9 (multicohemitonic)
prime: 2047
Deep Scaleno
Interval Vector10101010105
Interval Spectrump10m10n10s10d10t5
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6}
<6> = {6,7}
<7> = {7,8}
<8> = {8,9}
<9> = {9,10}
<10> = {10,11}
Spectra Variation0.909
Myhill Propertyyes


Modes are the rotational transformation of this scale. Scale 4093 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode:
Scale 2047
Scale 2047, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 3071
Scale 3071, Ian Ring Music Theory
4th mode:
Scale 3583
Scale 3583, Ian Ring Music Theory
5th mode:
Scale 3839
Scale 3839, Ian Ring Music Theory
6th mode:
Scale 3967
Scale 3967, Ian Ring Music Theory
7th mode:
Scale 4031
Scale 4031, Ian Ring Music Theory
8th mode:
Scale 4063
Scale 4063, Ian Ring Music Theory
9th mode:
Scale 4079
Scale 4079, Ian Ring Music Theory
10th mode:
Scale 4087
Scale 4087, Ian Ring Music Theory
11th mode:
Scale 4091
Scale 4091, Ian Ring Music Theory


The prime form of this scale is Scale 2047

Scale 2047Scale 2047, Ian Ring Music Theory


The undecatonic modal family [4093, 2047, 3071, 3583, 3839, 3967, 4031, 4063, 4079, 4087, 4091] is the negative of the modal family [1]


The inverse of a scale is a reflection using the root as its axis. The inverse of 4093 is 2047

Scale 2047Scale 2047, 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 4095Scale 4095: Chromatic, Ian Ring Music TheoryChromatic
Scale 4089Scale 4089, Ian Ring Music Theory
Scale 4091Scale 4091, Ian Ring Music Theory
Scale 4085Scale 4085, Ian Ring Music Theory
Scale 4077Scale 4077, Ian Ring Music Theory
Scale 4061Scale 4061, Ian Ring Music Theory
Scale 4029Scale 4029: Major/Minor mixed, Ian Ring Music TheoryMajor/Minor mixed
Scale 3965Scale 3965: Messiaen mode 7 inverse, Ian Ring Music TheoryMessiaen mode 7 inverse
Scale 3837Scale 3837: Minor Pentatonic with leading tones, Ian Ring Music TheoryMinor Pentatonic with leading tones
Scale 3581Scale 3581, Ian Ring Music Theory
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 2045Scale 2045, 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