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Scale 4015

Scale 4015, Ian Ring Music Theory
ii

i = imperfections

Tones10 (decatonic)
Pitch Class Set{0,1,2,3,5,7,8,9,10,11}
Forte Number10-2
Rotational Symmetrynone
Palindromicno
Hemitonia8 (multihemitonic)
Cohemitonia7 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1535
Chiralityno
Deep Scaleno
Interval Vector898884
Interval Spectrump8m8n8s9d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {7,8,9}
<8> = {8,9,10}
<9> = {10,11}
Spectra Variation1.6
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4015 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 4055
Scale 4055, Ian Ring Music Theory
3rd mode:
Scale 4075
Scale 4075, Ian Ring Music Theory
4th mode:
Scale 4085
Scale 4085, Ian Ring Music Theory
5th mode:
Scale 2045
Scale 2045, Ian Ring Music Theory
6th mode:
Scale 1535
Scale 1535, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2815
Scale 2815, Ian Ring Music Theory
8th mode:
Scale 3455
Scale 3455, Ian Ring Music Theory
9th mode:
Scale 3775
Scale 3775, Ian Ring Music Theory
10th mode:
Scale 3935
Scale 3935, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1535

Scale 1535Scale 1535, Ian Ring Music Theory

Negative

The decatonic modal family [4015, 4055, 4075, 4085, 2045, 1535, 2815, 3455, 3775, 3935] is the negative of the modal family [5, 1025]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4015 is 3775

Scale 3775Scale 3775, 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 4013Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
Scale 4011Scale 4011, Ian Ring Music Theory
Scale 4007Scale 4007, Ian Ring Music Theory
Scale 4023Scale 4023, Ian Ring Music Theory
Scale 4031Scale 4031, Ian Ring Music Theory
Scale 3983Scale 3983, Ian Ring Music Theory
Scale 3999Scale 3999, Ian Ring Music Theory
Scale 4047Scale 4047, Ian Ring Music Theory
Scale 4079Scale 4079, Ian Ring Music Theory
Scale 3887Scale 3887, Ian Ring Music Theory
Scale 3951Scale 3951, Ian Ring Music Theory
Scale 3759Scale 3759, Ian Ring Music Theory
Scale 3503Scale 3503, Ian Ring Music Theory
Scale 2991Scale 2991, Ian Ring Music Theory
Scale 1967Scale 1967: Diatonic Dorian mixed, Ian Ring Music TheoryDiatonic Dorian mixed

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