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Scale 2915: "Aeolydian"

Scale 2915: Aeolydian, 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
Aeolydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,5,6,8,9,11}
Forte Number7-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2267
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2915 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3505
Scale 3505: Stygian, Ian Ring Music TheoryStygian
3rd mode:
Scale 475
Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
4th mode:
Scale 2285
Scale 2285: Aerogian, Ian Ring Music TheoryAerogian
5th mode:
Scale 1595
Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
6th mode:
Scale 2845
Scale 2845: Baptian, Ian Ring Music TheoryBaptian
7th mode:
Scale 1735
Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam

Prime

The prime form of this scale is Scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Complement

The heptatonic modal family [2915, 3505, 475, 2285, 1595, 2845, 1735] (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 2915 is 2267

Scale 2267Scale 2267: Padian, Ian Ring Music TheoryPadian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2915 is chiral, and its enantiomorph is scale 2267

Scale 2267Scale 2267: Padian, Ian Ring Music TheoryPadian

Transformations:

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

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 2913Scale 2913, Ian Ring Music Theory
Scale 2917Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
Scale 2919Scale 2919: Molyllic, Ian Ring Music TheoryMolyllic
Scale 2923Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
Scale 2931Scale 2931: Zathyllic, Ian Ring Music TheoryZathyllic
Scale 2883Scale 2883, Ian Ring Music Theory
Scale 2899Scale 2899: Kagian, Ian Ring Music TheoryKagian
Scale 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
Scale 2979Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
Scale 3427Scale 3427: Zacrian, Ian Ring Music TheoryZacrian
Scale 3939Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
Scale 867Scale 867: Phrocrimic, Ian Ring Music TheoryPhrocrimic
Scale 1891Scale 1891: Thalian, Ian Ring Music TheoryThalian

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.