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Scale 4051

Scale 4051, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,4,6,7,8,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Chiralityyes
enantiomorph: 2431
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4051 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4073		Scale 4073, Ian Ring Music Theory
3rd mode:
Scale 1021		Scale 1021, Ian Ring Music Theory
4th mode:
Scale 1279		Scale 1279, Ian Ring Music Theory
5th mode:
Scale 2687		Scale 2687, Ian Ring Music Theory
6th mode:
Scale 3391		Scale 3391, Ian Ring Music Theory
7th mode:
Scale 3743		Scale 3743, Ian Ring Music Theory
8th mode:
Scale 3919		Scale 3919, Ian Ring Music Theory
9th mode:
Scale 4007		Scale 4007, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767, Ian Ring Music Theory

Negative

The nonatonic modal family [4051, 4073, 1021, 1279, 2687, 3391, 3743, 3919, 4007] is the negative of the tritonic modal family [11, 1537, 2053]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4051 is 2431

Scale 2431Scale 2431, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 4051 is chiral, and its enantiomorph is scale 2431

Scale 2431Scale 2431, 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 4049Scale 4049, Ian Ring Music Theory
Scale 4053Scale 4053, Ian Ring Music Theory
Scale 4055Scale 4055, Ian Ring Music Theory
Scale 4059Scale 4059, Ian Ring Music Theory
Scale 4035Scale 4035, Ian Ring Music Theory
Scale 4043Scale 4043, Ian Ring Music Theory
Scale 4067Scale 4067, Ian Ring Music Theory
Scale 4083Scale 4083, Ian Ring Music Theory
Scale 3987Scale 3987, Ian Ring Music Theory
Scale 4019Scale 4019, Ian Ring Music Theory
Scale 3923Scale 3923, Ian Ring Music Theory
Scale 3795Scale 3795, Ian Ring Music Theory
Scale 3539Scale 3539, Ian Ring Music Theory
Scale 3027Scale 3027, Ian Ring Music Theory
Scale 2003Scale 2003, 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