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Scale 975: "Messiaen mode 4"

Also known as: Tcherepnin Octatonic mode 3

Scale 975: Messiaen mode 4, Ian Ring Music Theory
ii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,6,7,8,9}
Forte Number8-9
Rotational Symmetry6 semitones
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes3
Prime?yes
Chiralityno
Deep Scaleno
Interval Vector644464
Interval Spectrump6m4n4s4d6t4
Distribution Spectra<1> = {1,3}
<2> = {2,4}
<3> = {3,5}
<4> = {6}
<5> = {7,9}
<6> = {8,10}
<7> = {9,11}
Spectra Variation1.5
Myhill Propertyno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 975 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 2535
Scale 2535: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4
3rd mode:
Scale 3315
Scale 3315: Tcherepnin Octatonic mode 1, Ian Ring Music TheoryTcherepnin Octatonic mode 1
4th mode:
Scale 3705
Scale 3705: Messiaen mode 4 inverse, Ian Ring Music TheoryMessiaen mode 4 inverse

Prime

This is the prime form of this scale.

Negative

The octatonic modal family [975, 2535, 3315, 3705] is the negative of the tetratonic modal family [195, 2145]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 975 is 3705

Scale 3705Scale 3705: Messiaen mode 4 inverse, Ian Ring Music TheoryMessiaen mode 4 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 973Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi
Scale 967Scale 967: Mela Salaga, Ian Ring Music TheoryMela Salaga
Scale 983Scale 983, Ian Ring Music Theory
Scale 991Scale 991, Ian Ring Music Theory
Scale 1007Scale 1007, Ian Ring Music Theory
Scale 911Scale 911, Ian Ring Music Theory
Scale 943Scale 943, Ian Ring Music Theory
Scale 847Scale 847, Ian Ring Music Theory
Scale 719Scale 719, Ian Ring Music Theory
Scale 463Scale 463, Ian Ring Music Theory
Scale 1487Scale 1487, Ian Ring Music Theory
Scale 1999Scale 1999, Ian Ring Music Theory
Scale 3023Scale 3023, 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