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Scale 2535: "Messiaen mode 4"

Also known as: Tcherepnin Octatonic mode 2, Fourth mode of limited transposition

Scale 2535: Messiaen mode 4, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,5,6,7,8,11}
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 2535 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 3315
Scale 3315: Tcherepnin Octatonic mode 1, Ian Ring Music TheoryTcherepnin Octatonic mode 1
3rd mode:
Scale 3705
Scale 3705: Messiaen mode 4 inverse, Ian Ring Music TheoryMessiaen mode 4 inverse
4th mode:
Scale 975
Scale 975: Messiaen mode 4, Ian Ring Music TheoryMessiaen mode 4This is the prime mode

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 [2535, 3315, 3705, 975] 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 2535 is 3315

Scale 3315Scale 3315: Tcherepnin Octatonic mode 1, Ian Ring Music TheoryTcherepnin Octatonic mode 1

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 2533Scale 2533, Ian Ring Music Theory
Scale 2531Scale 2531, Ian Ring Music Theory
Scale 2539Scale 2539: Half-diminished Bebop, Ian Ring Music TheoryHalf-diminished Bebop
Scale 2543Scale 2543, Ian Ring Music Theory
Scale 2551Scale 2551, Ian Ring Music Theory
Scale 2503Scale 2503: Mela Jhalavarali, Ian Ring Music TheoryMela Jhalavarali
Scale 2519Scale 2519, Ian Ring Music Theory
Scale 2471Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti
Scale 2407Scale 2407, Ian Ring Music Theory
Scale 2279Scale 2279, Ian Ring Music Theory
Scale 2791Scale 2791, Ian Ring Music Theory
Scale 3047Scale 3047, Ian Ring Music Theory
Scale 3559Scale 3559, Ian Ring Music Theory
Scale 487Scale 487, Ian Ring Music Theory
Scale 1511Scale 1511, 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