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Scale 3837: "Minor Pentatonic with leading tones"

Scale 3837: Minor Pentatonic with leading tones, Ian Ring Music Theory

i = imperfections

Tones10 (decatonic)
Pitch Class Set{0,2,3,4,5,6,7,9,10,11}
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 3837 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 1983
Scale 1983, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 3039
Scale 3039, Ian Ring Music Theory
4th mode:
Scale 3567
Scale 3567, Ian Ring Music Theory
5th mode:
Scale 3831
Scale 3831, Ian Ring Music Theory
6th mode:
Scale 3963
Scale 3963, Ian Ring Music Theory
7th mode:
Scale 4029
Scale 4029: Major/Minor mixed, Ian Ring Music TheoryMajor/Minor mixed
8th mode:
Scale 2031
Scale 2031, Ian Ring Music Theory
9th mode:
Scale 3063
Scale 3063, Ian Ring Music Theory
10th mode:
Scale 3579
Scale 3579, Ian Ring Music Theory


The prime form of this scale is Scale 1983

Scale 1983Scale 1983, Ian Ring Music Theory


The decatonic modal family [3837, 1983, 3039, 3567, 3831, 3963, 4029, 2031, 3063, 3579] 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 3837 is 2031

Scale 2031Scale 2031, 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 3839Scale 3839, Ian Ring Music Theory
Scale 3833Scale 3833, Ian Ring Music Theory
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 3829Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
Scale 3821Scale 3821, Ian Ring Music Theory
Scale 3805Scale 3805, Ian Ring Music Theory
Scale 3773Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
Scale 3709Scale 3709, Ian Ring Music Theory
Scale 3965Scale 3965: Messiaen mode 7 inverse, Ian Ring Music TheoryMessiaen mode 7 inverse
Scale 4093Scale 4093, Ian Ring Music Theory
Scale 3325Scale 3325, Ian Ring Music Theory
Scale 3581Scale 3581, Ian Ring Music Theory
Scale 2813Scale 2813, Ian Ring Music Theory
Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II

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