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Scale 1359: "Aerygian"

Scale 1359: Aerygian, Ian Ring Music Theory

Common Names

Zeitler
Aerygian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,6,8,10}
Forte Number7-24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3669
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 687
Deep Scaleno
Interval Vector353442
Interval Spectrump4m4n3s5d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1359 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2727
Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
3rd mode:
Scale 3411
Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
4th mode:
Scale 3753
Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
5th mode:
Scale 981
Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
6th mode:
Scale 1269
Scale 1269: Katythian, Ian Ring Music TheoryKatythian
7th mode:
Scale 1341
Scale 1341: Madian, Ian Ring Music TheoryMadian

Prime

The prime form of this scale is Scale 687

Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian

Complement

The heptatonic modal family [1359, 2727, 3411, 3753, 981, 1269, 1341] (Forte: 7-24) is the complement of the pentatonic modal family [171, 1377, 1413, 1557, 2133] (Forte: 5-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1359 is 3669

Scale 3669Scale 3669: Mothian, Ian Ring Music TheoryMothian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1359 is chiral, and its enantiomorph is scale 3669

Scale 3669Scale 3669: Mothian, Ian Ring Music TheoryMothian

Transformations:

T0 1359  T0I 3669
T1 2718  T1I 3243
T2 1341  T2I 2391
T3 2682  T3I 687
T4 1269  T4I 1374
T5 2538  T5I 2748
T6 981  T6I 1401
T7 1962  T7I 2802
T8 3924  T8I 1509
T9 3753  T9I 3018
T10 3411  T10I 1941
T11 2727  T11I 3882

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 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 1351Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic
Scale 1391Scale 1391: Aeradyllic, Ian Ring Music TheoryAeradyllic
Scale 1295Scale 1295, Ian Ring Music Theory
Scale 1327Scale 1327: Zalian, Ian Ring Music TheoryZalian
Scale 1423Scale 1423: Doptian, Ian Ring Music TheoryDoptian
Scale 1487Scale 1487: Mothyllic, Ian Ring Music TheoryMothyllic
Scale 1103Scale 1103: Lynimic, Ian Ring Music TheoryLynimic
Scale 1231Scale 1231: Logian, Ian Ring Music TheoryLogian
Scale 1615Scale 1615: Sydian, Ian Ring Music TheorySydian
Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic
Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic
Scale 847Scale 847: Ganian, Ian Ring Music TheoryGanian
Scale 2383Scale 2383: Katorian, Ian Ring Music TheoryKatorian
Scale 3407Scale 3407: Katocryllic, Ian Ring Music TheoryKatocryllic

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