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Scale 3445: "Messiaen mode 6 inverse"

Also known as: sixth mode of limited transposition

Scale 3445: Messiaen mode 6 inverse, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,2,4,5,6,8,10,11}
Forte Number8-25
Rotational Symmetry6 semitones
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes3
Prime?no
prime: 1495
Chiralityno
Deep Scaleno
Interval Vector464644
Interval Spectrump4m6n4s6d4t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5}
<4> = {6}
<5> = {7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1
Myhill Propertyno
Balancedyes
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3445 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1885
Scale 1885, Ian Ring Music Theory
3rd mode:
Scale 1495
Scale 1495: Messiaen mode 6, Ian Ring Music TheoryMessiaen mode 6This is the prime mode
4th mode:
Scale 2795
Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic

Prime

The prime form of this scale is Scale 1495

Scale 1495Scale 1495: Messiaen mode 6, Ian Ring Music TheoryMessiaen mode 6

Negative

The octatonic modal family [3445, 1885, 1495, 2795] is the negative of the tetratonic modal family [325, 1105]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3445 is 1495

Scale 1495Scale 1495: Messiaen mode 6, Ian Ring Music TheoryMessiaen mode 6

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 3447Scale 3447, Ian Ring Music Theory
Scale 3441Scale 3441, Ian Ring Music Theory
Scale 3443Scale 3443: Verdi's Scala enigmatica, Ian Ring Music TheoryVerdi's Scala enigmatica
Scale 3449Scale 3449, Ian Ring Music Theory
Scale 3453Scale 3453, Ian Ring Music Theory
Scale 3429Scale 3429, Ian Ring Music Theory
Scale 3437Scale 3437, Ian Ring Music Theory
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3381Scale 3381, Ian Ring Music Theory
Scale 3509Scale 3509, Ian Ring Music Theory
Scale 3573Scale 3573, Ian Ring Music Theory
Scale 3189Scale 3189, Ian Ring Music Theory
Scale 3317Scale 3317, Ian Ring Music Theory
Scale 3701Scale 3701, Ian Ring Music Theory
Scale 3957Scale 3957, Ian Ring Music Theory
Scale 2421Scale 2421, Ian Ring Music Theory
Scale 2933Scale 2933, Ian Ring Music Theory
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian

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