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Scale 731

Scale 731, Ian Ring Music Theory
iiii

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,3,4,6,7,9}
Forte Number7-31
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes6
Prime?yes
Chiralityyes
enantiomorph: 2921
Deep Scaleno
Interval Vector336333
Interval Spectrump3m3n6s3d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9}
<6> = {9,10,11}
Spectra Variation1.714
Myhill Propertyno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 731 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2413		Scale 2413: Locrian nr.2, Ian Ring Music TheoryLocrian nr.2
3rd mode:
Scale 1627		Scale 1627, Ian Ring Music Theory
4th mode:
Scale 2861		Scale 2861, Ian Ring Music Theory
5th mode:
Scale 1739		Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
6th mode:
Scale 2917		Scale 2917: Nohkan Flute scale, Ian Ring Music TheoryNohkan Flute scale
7th mode:
Scale 1753		Scale 1753: Hungarian Major, Ian Ring Music TheoryHungarian Major

Prime

This is the prime form of this scale.

Negative

The heptatonic modal family [731, 2413, 1627, 2861, 1739, 2917, 1753] is the negative of the pentatonic modal family [587, 601, 713, 1609, 2341]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 731 is 2921

Scale 2921Scale 2921, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 731 is chiral, and its enantiomorph is scale 2921

Scale 2921Scale 2921, 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 729Scale 729, Ian Ring Music Theory
Scale 733Scale 733, Ian Ring Music Theory
Scale 735Scale 735, Ian Ring Music Theory
Scale 723Scale 723, Ian Ring Music Theory
Scale 727Scale 727, Ian Ring Music Theory
Scale 715Scale 715: Messiaen truncated mode 2, Ian Ring Music TheoryMessiaen truncated mode 2
Scale 747Scale 747, Ian Ring Music Theory
Scale 763Scale 763, Ian Ring Music Theory
Scale 667Scale 667, Ian Ring Music Theory
Scale 699Scale 699, Ian Ring Music Theory
Scale 603Scale 603, Ian Ring Music Theory
Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian
Scale 987Scale 987, Ian Ring Music Theory
Scale 219Scale 219: Istrian, Ian Ring Music TheoryIstrian
Scale 475Scale 475, Ian Ring Music Theory
Scale 1243Scale 1243, Ian Ring Music Theory
Scale 1755Scale 1755: Octatonic, Ian Ring Music TheoryOctatonic
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich

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