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Scale 2525: "Aeolaryllic"

Scale 2525: Aeolaryllic, 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
Aeolaryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,6,7,8,11}
Forte Number8-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1907
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 887
Deep Scaleno
Interval Vector545752
Interval Spectrump5m7n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.75
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2525 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1655
Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic
3rd mode:
Scale 2875
Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
4th mode:
Scale 3485
Scale 3485: Sabach, Ian Ring Music TheorySabach
5th mode:
Scale 1895
Scale 1895: Salyllic, Ian Ring Music TheorySalyllic
6th mode:
Scale 2995
Scale 2995: Raga Saurashtra, Ian Ring Music TheoryRaga Saurashtra
7th mode:
Scale 3545
Scale 3545: Thyptyllic, Ian Ring Music TheoryThyptyllic
8th mode:
Scale 955
Scale 955: Ionogyllic, Ian Ring Music TheoryIonogyllic

Prime

The prime form of this scale is Scale 887

Scale 887Scale 887: Sathyllic, Ian Ring Music TheorySathyllic

Complement

The octatonic modal family [2525, 1655, 2875, 3485, 1895, 2995, 3545, 955] (Forte: 8-19) is the complement of the tetratonic modal family [275, 305, 785, 2185] (Forte: 4-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2525 is 1907

Scale 1907Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2525 is chiral, and its enantiomorph is scale 1907

Scale 1907Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic

Transformations:

T0 2525  T0I 1907
T1 955  T1I 3814
T2 1910  T2I 3533
T3 3820  T3I 2971
T4 3545  T4I 1847
T5 2995  T5I 3694
T6 1895  T6I 3293
T7 3790  T7I 2491
T8 3485  T8I 887
T9 2875  T9I 1774
T10 1655  T10I 3548
T11 3310  T11I 3001

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 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
Scale 2521Scale 2521: Mela Dhatuvardhani, Ian Ring Music TheoryMela Dhatuvardhani
Scale 2523Scale 2523: Rygyllic, Ian Ring Music TheoryRygyllic
Scale 2517Scale 2517: Harmonic Lydian, Ian Ring Music TheoryHarmonic Lydian
Scale 2509Scale 2509: Double Harmonic Minor, Ian Ring Music TheoryDouble Harmonic Minor
Scale 2541Scale 2541: Algerian, Ian Ring Music TheoryAlgerian
Scale 2557Scale 2557: Dothygic, Ian Ring Music TheoryDothygic
Scale 2461Scale 2461: Sagian, Ian Ring Music TheorySagian
Scale 2493Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2781Scale 2781: Gycryllic, Ian Ring Music TheoryGycryllic
Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
Scale 3549Scale 3549: Messiaen Mode 3 Inverse, Ian Ring Music TheoryMessiaen Mode 3 Inverse
Scale 477Scale 477: Stacrian, Ian Ring Music TheoryStacrian
Scale 1501Scale 1501: Stygyllic, Ian Ring Music TheoryStygyllic

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.