The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3043: "Ionayllic"

Scale 3043: Ionayllic, 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
Ionayllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,5,6,7,8,9,11}
Forte Number8-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2299
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
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3043 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3569
Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
3rd mode:
Scale 479
Scale 479: Kocryllic, Ian Ring Music TheoryKocryllicThis is the prime mode
4th mode:
Scale 2287
Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
5th mode:
Scale 3191
Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
6th mode:
Scale 3643
Scale 3643: Kydyllic, Ian Ring Music TheoryKydyllic
7th mode:
Scale 3869
Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
8th mode:
Scale 1991
Scale 1991: Phryptyllic, Ian Ring Music TheoryPhryptyllic

Prime

The prime form of this scale is Scale 479

Scale 479Scale 479: Kocryllic, Ian Ring Music TheoryKocryllic

Complement

The octatonic modal family [3043, 3569, 479, 2287, 3191, 3643, 3869, 1991] (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 3043 is 2299

Scale 2299Scale 2299: Phraptyllic, Ian Ring Music TheoryPhraptyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3043 is chiral, and its enantiomorph is scale 2299

Scale 2299Scale 2299: Phraptyllic, Ian Ring Music TheoryPhraptyllic

Transformations:

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

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 3041Scale 3041, Ian Ring Music Theory
Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
Scale 3047Scale 3047: Panygic, Ian Ring Music TheoryPanygic
Scale 3051Scale 3051: Stalygic, Ian Ring Music TheoryStalygic
Scale 3059Scale 3059: Madygic, Ian Ring Music TheoryMadygic
Scale 3011Scale 3011, Ian Ring Music Theory
Scale 3027Scale 3027: Rythyllic, Ian Ring Music TheoryRythyllic
Scale 2979Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
Scale 2531Scale 2531: Danian, Ian Ring Music TheoryDanian
Scale 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
Scale 4067Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic
Scale 995Scale 995: Phrathian, Ian Ring Music TheoryPhrathian
Scale 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic

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.