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The Exciting Universe Of Music Theory

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Scale 4031

Scale 4031, Ian Ring Music Theory

i = imperfections

Tones11 (undecatonic)
Pitch Class Set{0,1,2,3,4,5,7,8,9,10,11}
Forte Number11-1
Rotational Symmetrynone
Palindromicyes
Hemitonia10 (multihemitonic)
Cohemitonia9 (multicohemitonic)
Imperfections1
Modes10
Prime?no
prime: 2047
Chiralityno
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
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4031 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode:
Scale 4063
Scale 4063, Ian Ring Music Theory
3rd mode:
Scale 4079
Scale 4079, Ian Ring Music Theory
4th mode:
Scale 4087
Scale 4087, Ian Ring Music Theory
5th mode:
Scale 4091
Scale 4091, Ian Ring Music Theory
6th mode:
Scale 4093
Scale 4093, Ian Ring Music Theory
7th mode:
Scale 2047
Scale 2047, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 3071
Scale 3071, Ian Ring Music Theory
9th mode:
Scale 3583
Scale 3583, Ian Ring Music Theory
10th mode:
Scale 3839
Scale 3839, Ian Ring Music Theory
11th mode:
Scale 3967
Scale 3967, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 2047

Scale 2047Scale 2047, Ian Ring Music Theory

Negative

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

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4031 is itself, because it is a palindromic scale!

Scale 4031Scale 4031, 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 4029Scale 4029: Major/Minor mixed, Ian Ring Music TheoryMajor/Minor mixed
Scale 4027Scale 4027, Ian Ring Music Theory
Scale 4023Scale 4023, Ian Ring Music Theory
Scale 4015Scale 4015, Ian Ring Music Theory
Scale 3999Scale 3999, Ian Ring Music Theory
Scale 4063Scale 4063, Ian Ring Music Theory
Scale 4095Scale 4095: Chromatic, Ian Ring Music TheoryChromatic
Scale 3903Scale 3903, Ian Ring Music Theory
Scale 3967Scale 3967, Ian Ring Music Theory
Scale 3775Scale 3775, Ian Ring Music Theory
Scale 3519Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
Scale 3007Scale 3007, Ian Ring Music Theory
Scale 1983Scale 1983, 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