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Scale 1299: "Aerophitonic"

Scale 1299: Aerophitonic, 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. Dotted lines indicate axes of symmetry.

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
Aerophitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,4,8,10}
Forte Number5-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2325
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
Maximal Area Setno
Interior Area2.049
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Minor Triadsc♯m{1,4,8}210.67
Augmented TriadsC+{0,4,8}121
Diminished Triadsa♯°{10,1,4}121
Parsimonious Voice Leading Between Common Triads of Scale 1299. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m a#° a#° c#m->a#°

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter2
Radius1
Self-Centeredno
Central Verticesc♯m
Peripheral VerticesC+, a♯°

Modes

Modes are the rotational transformation of this scale. Scale 1299 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2697
Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic
3rd mode:
Scale 849
Scale 849: Aerynitonic, Ian Ring Music TheoryAerynitonic
4th mode:
Scale 309
Scale 309: Palitonic, Ian Ring Music TheoryPalitonicThis is the prime mode
5th mode:
Scale 1101
Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic

Prime

The prime form of this scale is Scale 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Complement

The pentatonic modal family [1299, 2697, 849, 309, 1101] (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 1299 is 2325

Scale 2325Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1299 is chiral, and its enantiomorph is scale 2325

Scale 2325Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic

Transformations:

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

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 1297Scale 1297: Aeolic, Ian Ring Music TheoryAeolic
Scale 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic
Scale 1303Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic
Scale 1307Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic
Scale 1283Scale 1283, Ian Ring Music Theory
Scale 1291Scale 1291, Ian Ring Music Theory
Scale 1315Scale 1315: Pyritonic, Ian Ring Music TheoryPyritonic
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 1363Scale 1363: Gygimic, Ian Ring Music TheoryGygimic
Scale 1427Scale 1427: Lolimic, Ian Ring Music TheoryLolimic
Scale 1043Scale 1043, Ian Ring Music Theory
Scale 1171Scale 1171: Raga Manaranjani I, Ian Ring Music TheoryRaga Manaranjani I
Scale 1555Scale 1555, Ian Ring Music Theory
Scale 1811Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
Scale 275Scale 275: Dalic, Ian Ring Music TheoryDalic
Scale 787Scale 787: Aeolapritonic, Ian Ring Music TheoryAeolapritonic
Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic
Scale 3347Scale 3347: Synimic, Ian Ring Music TheorySynimic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.