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Scale 1911: "Messiaen mode 3"

Also known as: Tcherepnin Nonatonic mode 3

Scale 1911: Messiaen mode 3, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,8,9,10}
Forte Number9-12
Rotational Symmetry4, 8 semitones
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes2
Prime?yes
Chiralityno
Deep Scaleno
Interval Vector666963
Interval Spectrump6m9n6s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {4}
<4> = {5,6}
<5> = {6,7}
<6> = {8}
<7> = {9,10}
<8> = {10,11}
Spectra Variation0.667
Myhill Propertyno
Balancedyes
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1911 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 3003
Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum
3rd mode:
Scale 3549
Scale 3549: Messiaen mode 3 inverse, Ian Ring Music TheoryMessiaen mode 3 inverse

Prime

This is the prime form of this scale.

Negative

The nonatonic modal family [1911, 3003, 3549] is the negative of the tritonic modal family [273]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1911 is 3549

Scale 3549Scale 3549: Messiaen mode 3 inverse, Ian Ring Music TheoryMessiaen mode 3 inverse

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 1909Scale 1909, Ian Ring Music Theory
Scale 1907Scale 1907, Ian Ring Music Theory
Scale 1915Scale 1915, Ian Ring Music Theory
Scale 1919Scale 1919, Ian Ring Music Theory
Scale 1895Scale 1895, Ian Ring Music Theory
Scale 1903Scale 1903, Ian Ring Music Theory
Scale 1879Scale 1879, Ian Ring Music Theory
Scale 1847Scale 1847, Ian Ring Music Theory
Scale 1975Scale 1975, Ian Ring Music Theory
Scale 2039Scale 2039, Ian Ring Music Theory
Scale 1655Scale 1655, Ian Ring Music Theory
Scale 1783Scale 1783: Youlan scale, Ian Ring Music TheoryYoulan scale
Scale 1399Scale 1399, Ian Ring Music Theory
Scale 887Scale 887, Ian Ring Music Theory
Scale 2935Scale 2935, Ian Ring Music Theory
Scale 3959Scale 3959, 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