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Scale 3037: "nine tone scale"

Scale 3037: nine tone scale, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,6,7,8,9,11}
Forte Number9-11
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Chiralityyes
enantiomorph: 1915
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3037 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1783
Scale 1783: Youlan scale, Ian Ring Music TheoryYoulan scale
3rd mode:
Scale 2939
Scale 2939, Ian Ring Music Theory
4th mode:
Scale 3517
Scale 3517, Ian Ring Music Theory
5th mode:
Scale 1903
Scale 1903, Ian Ring Music Theory
6th mode:
Scale 2999
Scale 2999, Ian Ring Music Theory
7th mode:
Scale 3547
Scale 3547, Ian Ring Music Theory
8th mode:
Scale 3821
Scale 3821, Ian Ring Music Theory
9th mode:
Scale 1979
Scale 1979, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775, Ian Ring Music Theory

Negative

The nonatonic modal family [3037, 1783, 2939, 3517, 1903, 2999, 3547, 3821, 1979] is the negative of the tritonic modal family [137, 289, 529]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3037 is 1915

Scale 1915Scale 1915, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3037 is chiral, and its enantiomorph is scale 1915

Scale 1915Scale 1915, 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 3039Scale 3039, Ian Ring Music Theory
Scale 3033Scale 3033, Ian Ring Music Theory
Scale 3035Scale 3035, Ian Ring Music Theory
Scale 3029Scale 3029, Ian Ring Music Theory
Scale 3021Scale 3021, Ian Ring Music Theory
Scale 3053Scale 3053, Ian Ring Music Theory
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 2973Scale 2973, Ian Ring Music Theory
Scale 3005Scale 3005, Ian Ring Music Theory
Scale 2909Scale 2909, Ian Ring Music Theory
Scale 2781Scale 2781, Ian Ring Music Theory
Scale 2525Scale 2525, Ian Ring Music Theory
Scale 3549Scale 3549: Messiaen mode 3 inverse, Ian Ring Music TheoryMessiaen mode 3 inverse
Scale 4061Scale 4061, Ian Ring Music Theory
Scale 989Scale 989, Ian Ring Music Theory
Scale 2013Scale 2013, 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