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Scale 4007

Scale 4007, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,2,5,7,8,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Chiralityyes
enantiomorph: 3263
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 4007 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4051
Scale 4051, Ian Ring Music Theory
3rd mode:
Scale 4073
Scale 4073, Ian Ring Music Theory
4th mode:
Scale 1021
Scale 1021, Ian Ring Music Theory
5th mode:
Scale 1279
Scale 1279, Ian Ring Music Theory
6th mode:
Scale 2687
Scale 2687, Ian Ring Music Theory
7th mode:
Scale 3391
Scale 3391, Ian Ring Music Theory
8th mode:
Scale 3743
Scale 3743, Ian Ring Music Theory
9th mode:
Scale 3919
Scale 3919, 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 [4007, 4051, 4073, 1021, 1279, 2687, 3391, 3743, 3919] 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 4007 is 3263

Scale 3263Scale 3263, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 4007 is chiral, and its enantiomorph is scale 3263

Scale 3263Scale 3263, 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 4005Scale 4005, Ian Ring Music Theory
Scale 4003Scale 4003, Ian Ring Music Theory
Scale 4011Scale 4011, Ian Ring Music Theory
Scale 4015Scale 4015, Ian Ring Music Theory
Scale 4023Scale 4023, Ian Ring Music Theory
Scale 3975Scale 3975, Ian Ring Music Theory
Scale 3991Scale 3991, Ian Ring Music Theory
Scale 4039Scale 4039, Ian Ring Music Theory
Scale 4071Scale 4071, Ian Ring Music Theory
Scale 3879Scale 3879, Ian Ring Music Theory
Scale 3943Scale 3943, Ian Ring Music Theory
Scale 3751Scale 3751, Ian Ring Music Theory
Scale 3495Scale 3495, Ian Ring Music Theory
Scale 2983Scale 2983, Ian Ring Music Theory
Scale 1959Scale 1959, 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