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Scale 849: "Aerynitonic"

Scale 849: Aerynitonic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Aerynitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,6,8,9}
Forte Number5-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 345
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 309
Deep Scaleno
Interval Vector122311
Interval Spectrumpm3n2s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 849 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 309
Scale 309: Palitonic, Ian Ring Music TheoryPalitonicThis is the prime mode
3rd mode:
Scale 1101
Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic
4th mode:
Scale 1299
Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic
5th mode:
Scale 2697
Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic

Prime

The prime form of this scale is Scale 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Complement

The pentatonic modal family [849, 309, 1101, 1299, 2697] (Forte: 5-26) is the complement of the heptatonic modal family [699, 1497, 1623, 1893, 2397, 2859, 3477] (Forte: 7-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 849 is 345

Scale 345Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 849 is chiral, and its enantiomorph is scale 345

Scale 345Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic

Transformations:

T0 849  T0I 345
T1 1698  T1I 690
T2 3396  T2I 1380
T3 2697  T3I 2760
T4 1299  T4I 1425
T5 2598  T5I 2850
T6 1101  T6I 1605
T7 2202  T7I 3210
T8 309  T8I 2325
T9 618  T9I 555
T10 1236  T10I 1110
T11 2472  T11I 2220

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 851Scale 851: Raga Hejjajji, Ian Ring Music TheoryRaga Hejjajji
Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
Scale 857Scale 857: Aeolydimic, Ian Ring Music TheoryAeolydimic
Scale 833Scale 833, Ian Ring Music Theory
Scale 841Scale 841: Phrothitonic, Ian Ring Music TheoryPhrothitonic
Scale 865Scale 865, Ian Ring Music Theory
Scale 881Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic
Scale 785Scale 785: Aeoloric, Ian Ring Music TheoryAeoloric
Scale 817Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic
Scale 913Scale 913: Aeolyritonic, Ian Ring Music TheoryAeolyritonic
Scale 977Scale 977: Kocrimic, Ian Ring Music TheoryKocrimic
Scale 593Scale 593: Saric, Ian Ring Music TheorySaric
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 337Scale 337: Koptic, Ian Ring Music TheoryKoptic
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1873Scale 1873: Dathimic, Ian Ring Music TheoryDathimic
Scale 2897Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic

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