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Scale 791: "Aeoloptimic"

Scale 791: Aeoloptimic, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram

41161837294116105072918310504116183

Common Names

Zeitler
Aeoloptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,8,9}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3353
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 371
Deep Scaleno
Interval Vector322431
Interval Spectrump3m4n2s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 791 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2443
Scale 2443: Panimic, Ian Ring Music TheoryPanimic
3rd mode:
Scale 3269
Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
4th mode:
Scale 1841
Scale 1841: Thogimic, Ian Ring Music TheoryThogimic
5th mode:
Scale 371
Scale 371: Rythimic, Ian Ring Music TheoryRythimicThis is the prime mode
6th mode:
Scale 2233
Scale 2233: Donimic, Ian Ring Music TheoryDonimic

Prime

The prime form of this scale is Scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Complement

The hexatonic modal family [791, 2443, 3269, 1841, 371, 2233] (Forte: 6-16) is the complement of the hexatonic modal family [371, 791, 1841, 2233, 2443, 3269] (Forte: 6-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 791 is 3353

Scale 3353Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 791 is chiral, and its enantiomorph is scale 3353

Scale 3353Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic

Transformations:

T0 791  T0I 3353
T1 1582  T1I 2611
T2 3164  T2I 1127
T3 2233  T3I 2254
T4 371  T4I 413
T5 742  T5I 826
T6 1484  T6I 1652
T7 2968  T7I 3304
T8 1841  T8I 2513
T9 3682  T9I 931
T10 3269  T10I 1862
T11 2443  T11I 3724

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 789Scale 789: Zogitonic, Ian Ring Music TheoryZogitonic
Scale 787Scale 787: Aeolapritonic, Ian Ring Music TheoryAeolapritonic
Scale 795Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
Scale 799Scale 799: Lolian, Ian Ring Music TheoryLolian
Scale 775Scale 775: Raga Putrika, Ian Ring Music TheoryRaga Putrika
Scale 783Scale 783, Ian Ring Music Theory
Scale 807Scale 807: Raga Suddha Mukhari, Ian Ring Music TheoryRaga Suddha Mukhari
Scale 823Scale 823: Stodian, Ian Ring Music TheoryStodian
Scale 855Scale 855: Porian, Ian Ring Music TheoryPorian
Scale 919Scale 919: Chromatic Phrygian Inverse, Ian Ring Music TheoryChromatic Phrygian Inverse
Scale 535Scale 535, Ian Ring Music Theory
Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic
Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic
Scale 1303Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic
Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian
Scale 2839Scale 2839: Lyptian, Ian Ring Music TheoryLyptian

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. Bibliography