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Scale 3831

Scale 3831, Ian Ring Music Theory

i = imperfections

Tones10 (decatonic)
Pitch Class Set{0,1,2,4,5,6,7,9,10,11}
Forte Number10-5
Rotational Symmetrynone
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
prime: 1983
Deep Scaleno
Interval Vector888894
Interval Spectrump9m8n8s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6,7}
<6> = {7,8}
<7> = {8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 3831 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3963
Scale 3963, Ian Ring Music Theory
3rd mode:
Scale 4029
Scale 4029: Major/Minor mixed, Ian Ring Music TheoryMajor/Minor mixed
4th mode:
Scale 2031
Scale 2031, Ian Ring Music Theory
5th mode:
Scale 3063
Scale 3063, Ian Ring Music Theory
6th mode:
Scale 3579
Scale 3579, Ian Ring Music Theory
7th mode:
Scale 3837
Scale 3837: Minor Pentatonic with leading tones, Ian Ring Music TheoryMinor Pentatonic with leading tones
8th mode:
Scale 1983
Scale 1983, Ian Ring Music TheoryThis is the prime mode
9th mode:
Scale 3039
Scale 3039, Ian Ring Music Theory
10th mode:
Scale 3567
Scale 3567, Ian Ring Music Theory


The prime form of this scale is Scale 1983

Scale 1983Scale 1983, Ian Ring Music Theory


The decatonic modal family [3831, 3963, 4029, 2031, 3063, 3579, 3837, 1983, 3039, 3567] is the negative of the modal family [33, 129]


The inverse of a scale is a reflection using the root as its axis. The inverse of 3831 is 3567

Scale 3567Scale 3567, 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 3829Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
Scale 3827Scale 3827, Ian Ring Music Theory
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 3839Scale 3839, Ian Ring Music Theory
Scale 3815Scale 3815, Ian Ring Music Theory
Scale 3823Scale 3823, Ian Ring Music Theory
Scale 3799Scale 3799, Ian Ring Music Theory
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3703Scale 3703, Ian Ring Music Theory
Scale 3959Scale 3959, Ian Ring Music Theory
Scale 4087Scale 4087, Ian Ring Music Theory
Scale 3319Scale 3319, Ian Ring Music Theory
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 2807Scale 2807, Ian Ring Music Theory
Scale 1783Scale 1783: Youlan scale, Ian Ring Music TheoryYoulan scale

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