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Scale 2285: "Aerogian"

Scale 2285: Aerogian, 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

41161837294116105072918310504116183
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
Aerogian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,5,6,7,11}
Forte Number7-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1763
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 439
Deep Scaleno
Interval Vector434442
Interval Spectrump4m4n4s3d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.299
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 TriadsG{7,11,2}231.57
B{11,3,6}321.29
Minor Triadscm{0,3,7}241.86
bm{11,2,6}331.43
Augmented TriadsD♯+{3,7,11}331.43
Diminished Triads{0,3,6}231.71
{11,2,5}142.14
Parsimonious Voice Leading Between Common Triads of Scale 2285. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B D#+ D#+ cm->D#+ Parsimonious Voice Leading Between Common Triads of Scale 2285. Created by Ian Ring ©2019 G D#+->G D#+->B bm bm G->bm b°->bm bm->B

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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 VerticesB
Peripheral Verticescm, b°

Modes

Modes are the rotational transformation of this scale. Scale 2285 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1595
Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
3rd mode:
Scale 2845
Scale 2845: Baptian, Ian Ring Music TheoryBaptian
4th mode:
Scale 1735
Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
5th mode:
Scale 2915
Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
6th mode:
Scale 3505
Scale 3505: Stygian, Ian Ring Music TheoryStygian
7th mode:
Scale 475
Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian

Prime

The prime form of this scale is Scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Complement

The heptatonic modal family [2285, 1595, 2845, 1735, 2915, 3505, 475] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2285 is 1763

Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2285 is chiral, and its enantiomorph is scale 1763

Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian

Transformations:

T0 2285  T0I 1763
T1 475  T1I 3526
T2 950  T2I 2957
T3 1900  T3I 1819
T4 3800  T4I 3638
T5 3505  T5I 3181
T6 2915  T6I 2267
T7 1735  T7I 439
T8 3470  T8I 878
T9 2845  T9I 1756
T10 1595  T10I 3512
T11 3190  T11I 2929

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 2287Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
Scale 2281Scale 2281: Rathimic, Ian Ring Music TheoryRathimic
Scale 2283Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian
Scale 2277Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
Scale 2293Scale 2293: Gorian, Ian Ring Music TheoryGorian
Scale 2301Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2221Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
Scale 2157Scale 2157, Ian Ring Music Theory
Scale 2413Scale 2413: Locrian Natural 2, Ian Ring Music TheoryLocrian Natural 2
Scale 2541Scale 2541: Algerian, Ian Ring Music TheoryAlgerian
Scale 2797Scale 2797: Stalyllic, Ian Ring Music TheoryStalyllic
Scale 3309Scale 3309: Bycryllic, Ian Ring Music TheoryBycryllic
Scale 237Scale 237, Ian Ring Music Theory
Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues

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.