The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2895: "Aeoryllic"

Scale 2895: Aeoryllic, 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
Aeoryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,6,8,9,11}
Forte Number8-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3675
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 735
Deep Scaleno
Interval Vector556453
Interval Spectrump5m4n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Maximally Evenno
Maximal Area Setno
Interior Area2.616
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2895 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3495
Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
3rd mode:
Scale 3795
Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic
4th mode:
Scale 3945
Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic
5th mode:
Scale 1005
Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
6th mode:
Scale 1275
Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic
7th mode:
Scale 2685
Scale 2685: Ionoryllic, Ian Ring Music TheoryIonoryllic
8th mode:
Scale 1695
Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic

Prime

The prime form of this scale is Scale 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Complement

The octatonic modal family [2895, 3495, 3795, 3945, 1005, 1275, 2685, 1695] (Forte: 8-13) is the complement of the tetratonic modal family [75, 705, 1545, 2085] (Forte: 4-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2895 is 3675

Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2895 is chiral, and its enantiomorph is scale 3675

Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic

Transformations:

T0 2895  T0I 3675
T1 1695  T1I 3255
T2 3390  T2I 2415
T3 2685  T3I 735
T4 1275  T4I 1470
T5 2550  T5I 2940
T6 1005  T6I 1785
T7 2010  T7I 3570
T8 4020  T8I 3045
T9 3945  T9I 1995
T10 3795  T10I 3990
T11 3495  T11I 3885

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 2893Scale 2893: Lylian, Ian Ring Music TheoryLylian
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
Scale 2887Scale 2887: Gaptian, Ian Ring Music TheoryGaptian
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 2927Scale 2927: Rodygic, Ian Ring Music TheoryRodygic
Scale 2831Scale 2831, Ian Ring Music Theory
Scale 2863Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic
Scale 2959Scale 2959: Dygyllic, Ian Ring Music TheoryDygyllic
Scale 3023Scale 3023: Mothygic, Ian Ring Music TheoryMothygic
Scale 2639Scale 2639: Dothian, Ian Ring Music TheoryDothian
Scale 2767Scale 2767: Katydyllic, Ian Ring Music TheoryKatydyllic
Scale 2383Scale 2383: Katorian, Ian Ring Music TheoryKatorian
Scale 3407Scale 3407: Katocryllic, Ian Ring Music TheoryKatocryllic
Scale 3919Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
Scale 847Scale 847: Ganian, Ian Ring Music TheoryGanian
Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic

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.