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Scale 2015: "Messiaen mode 7"

Scale 2015: Messiaen mode 7, Ian Ring Music Theory
ii

i = imperfections

Tones10 (decatonic)
Pitch Class Set{0,1,2,3,4,6,7,8,9,10}
Forte Number10-6
Rotational Symmetry6 semitones
Palindromicno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections2
Modes4
Prime?yes
Chiralityno
Deep Scaleno
Interval Vector888885
Interval Spectrump8m8n8s8d8t5
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {6}
<6> = {7,8}
<7> = {8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation0.8
Myhill Propertyno
Balancedyes
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2015 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3055
Scale 3055: Messiaen mode 7, Ian Ring Music TheoryMessiaen mode 7
3rd mode:
Scale 3575
Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
4th mode:
Scale 3835
Scale 3835, Ian Ring Music Theory
5th mode:
Scale 3965
Scale 3965: Messiaen mode 7 inverse, Ian Ring Music TheoryMessiaen mode 7 inverse

Prime

This is the prime form of this scale.

Negative

The decatonic modal family [2015, 3055, 3575, 3835, 3965] is the negative of the modal family [65]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2015 is 3965

Scale 3965Scale 3965: Messiaen mode 7 inverse, Ian Ring Music TheoryMessiaen mode 7 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 2013Scale 2013, Ian Ring Music Theory
Scale 2011Scale 2011, Ian Ring Music Theory
Scale 2007Scale 2007, Ian Ring Music Theory
Scale 1999Scale 1999, Ian Ring Music Theory
Scale 2031Scale 2031, Ian Ring Music Theory
Scale 2047Scale 2047, Ian Ring Music Theory
Scale 1951Scale 1951, Ian Ring Music Theory
Scale 1983Scale 1983, Ian Ring Music Theory
Scale 1887Scale 1887, Ian Ring Music Theory
Scale 1759Scale 1759, Ian Ring Music Theory
Scale 1503Scale 1503, Ian Ring Music Theory
Scale 991Scale 991, Ian Ring Music Theory
Scale 3039Scale 3039, Ian Ring Music Theory
Scale 4063Scale 4063, 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