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Scale 3209: "Aeraphitonic"

Scale 3209: Aeraphitonic, 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

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
Aeraphitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,7,10,11}
Forte Number5-Z37
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 313
Deep Scaleno
Interval Vector212320
Interval Spectrump2m3n2sd2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {8,9,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3209 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 913
Scale 913: Aeolyritonic, Ian Ring Music TheoryAeolyritonic
3rd mode:
Scale 313
Scale 313: Goritonic, Ian Ring Music TheoryGoritonicThis is the prime mode
4th mode:
Scale 551
Scale 551: Aeoloditonic, Ian Ring Music TheoryAeoloditonic
5th mode:
Scale 2323
Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic

Prime

The prime form of this scale is Scale 313

Scale 313Scale 313: Goritonic, Ian Ring Music TheoryGoritonic

Complement

The pentatonic modal family [3209, 913, 313, 551, 2323] (Forte: 5-Z37) is the complement of the heptatonic modal family [443, 1591, 1891, 2269, 2843, 2993, 3469] (Forte: 7-Z37)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3209 is 551

Scale 551Scale 551: Aeoloditonic, Ian Ring Music TheoryAeoloditonic

Transformations:

T0 3209  T0I 551
T1 2323  T1I 1102
T2 551  T2I 2204
T3 1102  T3I 313
T4 2204  T4I 626
T5 313  T5I 1252
T6 626  T6I 2504
T7 1252  T7I 913
T8 2504  T8I 1826
T9 913  T9I 3652
T10 1826  T10I 3209
T11 3652  T11I 2323

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 3211Scale 3211: Epacrimic, Ian Ring Music TheoryEpacrimic
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
Scale 3201Scale 3201, Ian Ring Music Theory
Scale 3205Scale 3205, Ian Ring Music Theory
Scale 3217Scale 3217: Molitonic, Ian Ring Music TheoryMolitonic
Scale 3225Scale 3225: Ionalimic, Ian Ring Music TheoryIonalimic
Scale 3241Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
Scale 3273Scale 3273: Raga Jivantini, Ian Ring Music TheoryRaga Jivantini
Scale 3081Scale 3081, Ian Ring Music Theory
Scale 3145Scale 3145: Stolitonic, Ian Ring Music TheoryStolitonic
Scale 3337Scale 3337, Ian Ring Music Theory
Scale 3465Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic
Scale 3721Scale 3721: Phragimic, Ian Ring Music TheoryPhragimic
Scale 2185Scale 2185: Dygic, Ian Ring Music TheoryDygic
Scale 2697Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic
Scale 1161Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu

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