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Scale 3569: "Aeoladyllic"

Scale 3569: Aeoladyllic, 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
Aeoladyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,4,5,6,7,8,10,11}
Forte Number8-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 503
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 479
Deep Scaleno
Interval Vector654553
Interval Spectrump5m5n4s5d6t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation2.75
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3569 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 479
Scale 479: Kocryllic, Ian Ring Music TheoryKocryllicThis is the prime mode
3rd mode:
Scale 2287
Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
4th mode:
Scale 3191
Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
5th mode:
Scale 3643
Scale 3643: Kydyllic, Ian Ring Music TheoryKydyllic
6th mode:
Scale 3869
Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
7th mode:
Scale 1991
Scale 1991: Phryptyllic, Ian Ring Music TheoryPhryptyllic
8th mode:
Scale 3043
Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic

Prime

The prime form of this scale is Scale 479

Scale 479Scale 479: Kocryllic, Ian Ring Music TheoryKocryllic

Complement

The octatonic modal family [3569, 479, 2287, 3191, 3643, 3869, 1991, 3043] (Forte: 8-5) is the complement of the tetratonic modal family [71, 449, 2083, 3089] (Forte: 4-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3569 is 503

Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3569 is chiral, and its enantiomorph is scale 503

Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic

Transformations:

T0 3569  T0I 503
T1 3043  T1I 1006
T2 1991  T2I 2012
T3 3982  T3I 4024
T4 3869  T4I 3953
T5 3643  T5I 3811
T6 3191  T6I 3527
T7 2287  T7I 2959
T8 479  T8I 1823
T9 958  T9I 3646
T10 1916  T10I 3197
T11 3832  T11I 2299

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 3571Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 3577Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
Scale 3553Scale 3553, Ian Ring Music Theory
Scale 3561Scale 3561: Pothyllic, Ian Ring Music TheoryPothyllic
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian
Scale 3441Scale 3441: Thacrian, Ian Ring Music TheoryThacrian
Scale 3313Scale 3313: Aeolacrian, Ian Ring Music TheoryAeolacrian
Scale 3825Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic
Scale 4081Scale 4081: Manygic, Ian Ring Music TheoryManygic
Scale 2545Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian

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.