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The Exciting Universe Of Music Theory

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Scale 4067

Scale 4067, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,5,6,7,8,9,10,11}
Forte Number9-1
Rotational Symmetrynone
Palindromicno
Hemitonia8 (multihemitonic)
Cohemitonia7 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 511
Chiralityno
Deep Scaleno
Interval Vector876663
Interval Spectrump6m6n6s7d8t3
Distribution Spectra<1> = {1,4}
<2> = {2,5}
<3> = {3,6}
<4> = {4,7}
<5> = {5,8}
<6> = {6,9}
<7> = {7,10}
<8> = {8,11}
Spectra Variation2.667
Myhill Propertyyes
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4067 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4081
Scale 4081, Ian Ring Music Theory
3rd mode:
Scale 511
Scale 511, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2303
Scale 2303, Ian Ring Music Theory
5th mode:
Scale 3199
Scale 3199, Ian Ring Music Theory
6th mode:
Scale 3647
Scale 3647, Ian Ring Music Theory
7th mode:
Scale 3871
Scale 3871, Ian Ring Music Theory
8th mode:
Scale 3983
Scale 3983, Ian Ring Music Theory
9th mode:
Scale 4039
Scale 4039, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 511

Scale 511Scale 511, Ian Ring Music Theory

Negative

The nonatonic modal family [4067, 4081, 511, 2303, 3199, 3647, 3871, 3983, 4039] is the negative of the tritonic modal family [7, 2051, 3073]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4067 is 2303

Scale 2303Scale 2303, 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 4065Scale 4065, Ian Ring Music Theory
Scale 4069Scale 4069, Ian Ring Music Theory
Scale 4071Scale 4071, Ian Ring Music Theory
Scale 4075Scale 4075, Ian Ring Music Theory
Scale 4083Scale 4083, Ian Ring Music Theory
Scale 4035Scale 4035, Ian Ring Music Theory
Scale 4051Scale 4051, Ian Ring Music Theory
Scale 4003Scale 4003, Ian Ring Music Theory
Scale 3939Scale 3939, Ian Ring Music Theory
Scale 3811Scale 3811, Ian Ring Music Theory
Scale 3555Scale 3555, Ian Ring Music Theory
Scale 3043Scale 3043, Ian Ring Music Theory
Scale 2019Scale 2019, 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