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Scale 699: "Aerothian"

Scale 699: Aerothian, 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
Aerothian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,5,7,9}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2985
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?yes
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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
Major TriadsC{0,4,7}331.5
F{5,9,0}231.75
A{9,1,4}331.5
Minor Triadscm{0,3,7}242
am{9,0,4}421.25
Augmented TriadsC♯+{1,5,9}242
Diminished Triadsc♯°{1,4,7}231.75
{9,0,3}231.75
Parsimonious Voice Leading Between Common Triads of Scale 699. Created by Ian Ring ©2019 cm cm C C cm->C cm->a° c#° c#° C->c#° am am C->am A A c#°->A C#+ C#+ F F C#+->F C#+->A F->am a°->am am->A

view full size

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.

Diameter4
Radius2
Self-Centeredno
Central Verticesam
Peripheral Verticescm, C♯+

Modes

Modes are the rotational transformation of this scale. Scale 699 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2397
Scale 2397: Stagian, Ian Ring Music TheoryStagian
3rd mode:
Scale 1623
Scale 1623: Lothian, Ian Ring Music TheoryLothian
4th mode:
Scale 2859
Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian
5th mode:
Scale 3477
Scale 3477: Kyptian, Ian Ring Music TheoryKyptian
6th mode:
Scale 1893
Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
7th mode:
Scale 1497
Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini

Prime

This is the prime form of this scale.

Complement

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

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 699 is 2985

Scale 2985Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 699 is chiral, and its enantiomorph is scale 2985

Scale 2985Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian

Transformations:

T0 699  T0I 2985
T1 1398  T1I 1875
T2 2796  T2I 3750
T3 1497  T3I 3405
T4 2994  T4I 2715
T5 1893  T5I 1335
T6 3786  T6I 2670
T7 3477  T7I 1245
T8 2859  T8I 2490
T9 1623  T9I 885
T10 3246  T10I 1770
T11 2397  T11I 3540

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 697Scale 697: Lagimic, Ian Ring Music TheoryLagimic
Scale 701Scale 701: Mixonyphian, Ian Ring Music TheoryMixonyphian
Scale 703Scale 703: Aerocryllic, Ian Ring Music TheoryAerocryllic
Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati
Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian
Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic
Scale 667Scale 667: Rodimic, Ian Ring Music TheoryRodimic
Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian
Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic
Scale 571Scale 571: Kynimic, Ian Ring Music TheoryKynimic
Scale 635Scale 635: Epolian, Ian Ring Music TheoryEpolian
Scale 827Scale 827: Mixolocrian, Ian Ring Music TheoryMixolocrian
Scale 955Scale 955: Ionogyllic, Ian Ring Music TheoryIonogyllic
Scale 187Scale 187, Ian Ring Music Theory
Scale 443Scale 443: Kothian, Ian Ring Music TheoryKothian
Scale 1211Scale 1211: Zadian, Ian Ring Music TheoryZadian
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
Scale 2747Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic

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.