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Scale 3549: "Messiaen mode 3 inverse"

Also known as: Tcherepnin Nonatonic mode 2, third mode of limited transposition

Scale 3549: Messiaen mode 3 inverse, Ian Ring Music Theory
iii

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,6,7,8,10,11}
Forte Number9-12
Rotational Symmetry4, 8 semitones
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes2
Prime?no
prime: 1911
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
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3549 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 1911
Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3This is the prime mode
3rd mode:
Scale 3003
Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum

Prime

The prime form of this scale is Scale 1911

Scale 1911Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3

Negative

The nonatonic modal family [3549, 1911, 3003] 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 3549 is 1911

Scale 1911Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3

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 3551Scale 3551, Ian Ring Music Theory
Scale 3545Scale 3545, Ian Ring Music Theory
Scale 3547Scale 3547, Ian Ring Music Theory
Scale 3541Scale 3541, Ian Ring Music Theory
Scale 3533Scale 3533, Ian Ring Music Theory
Scale 3565Scale 3565, Ian Ring Music Theory
Scale 3581Scale 3581, Ian Ring Music Theory
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3517Scale 3517, Ian Ring Music Theory
Scale 3421Scale 3421, Ian Ring Music Theory
Scale 3293Scale 3293, Ian Ring Music Theory
Scale 3805Scale 3805, Ian Ring Music Theory
Scale 4061Scale 4061, Ian Ring Music Theory
Scale 2525Scale 2525, Ian Ring Music Theory
Scale 3037Scale 3037: nine tone scale, Ian Ring Music Theorynine tone scale
Scale 1501Scale 1501, 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