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Scale 715: "Messiaen truncated mode 2"

Scale 715: Messiaen truncated mode 2, Ian Ring Music Theory

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,1,3,6,7,9}
Forte Number6-30
Rotational Symmetry6 semitones
Palindromicno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes2
Prime?yes
Chiralityyes
enantiomorph: 2665
Deep Scaleno
Interval Vector224223
Interval Spectrump2m2n4s2d2t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {6}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.333
Myhill Propertyno
Balancedyes
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 715 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 2405
Scale 2405, Ian Ring Music Theory
3rd mode:
Scale 1625
Scale 1625, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Negative

The hexatonic modal family [715, 2405, 1625] is the negative of the hexatonic modal family [715, 1625, 2405]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 715 is 2665

Scale 2665Scale 2665, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 715 is chiral, and its enantiomorph is scale 2665

Scale 2665Scale 2665, Ian Ring Music Theory

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 713Scale 713, Ian Ring Music Theory
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 719Scale 719, Ian Ring Music Theory
Scale 707Scale 707, Ian Ring Music Theory
Scale 711Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti
Scale 723Scale 723, Ian Ring Music Theory
Scale 731Scale 731, Ian Ring Music Theory
Scale 747Scale 747, Ian Ring Music Theory
Scale 651Scale 651, Ian Ring Music Theory
Scale 683Scale 683, Ian Ring Music Theory
Scale 587Scale 587, Ian Ring Music Theory
Scale 843Scale 843, Ian Ring Music Theory
Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi
Scale 203Scale 203, Ian Ring Music Theory
Scale 459Scale 459, Ian Ring Music Theory
Scale 1227Scale 1227, Ian Ring Music Theory
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi

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