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Scale 3705: "Messiaen mode 4 inverse"

Also known as: Tcherepnin Octatonic mode 4

Scale 3705: Messiaen mode 4 inverse, Ian Ring Music Theory
ii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,3,4,5,6,9,10,11}
Forte Number8-9
Rotational Symmetry6 semitones
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes3
Prime?no
prime: 975
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
Balancedyes
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3705 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 975
Scale 975: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4This is the prime mode
3rd mode:
Scale 2535
Scale 2535: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4
4th mode:
Scale 3315
Scale 3315: Tcherepnin Octatonic mode 1, Ian Ring Music TheoryTcherepnin Octatonic mode 1

Prime

The prime form of this scale is Scale 975

Scale 975Scale 975: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4

Negative

The octatonic modal family [3705, 975, 2535, 3315] 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 3705 is 975

Scale 975Scale 975: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4

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 3707Scale 3707, Ian Ring Music Theory
Scale 3709Scale 3709, Ian Ring Music Theory
Scale 3697Scale 3697, Ian Ring Music Theory
Scale 3701Scale 3701, Ian Ring Music Theory
Scale 3689Scale 3689, Ian Ring Music Theory
Scale 3673Scale 3673, Ian Ring Music Theory
Scale 3641Scale 3641, Ian Ring Music Theory
Scale 3769Scale 3769, Ian Ring Music Theory
Scale 3833Scale 3833, Ian Ring Music Theory
Scale 3961Scale 3961, Ian Ring Music Theory
Scale 3193Scale 3193, Ian Ring Music Theory
Scale 3449Scale 3449, Ian Ring Music Theory
Scale 2681Scale 2681, Ian Ring Music Theory
Scale 1657Scale 1657, 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