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Scale 479: "Kocryllic"

Scale 479: Kocryllic, 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

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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
Kocryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,4,6,7,8}
Forte Number8-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3953
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?yes
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

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}321.29
G♯{8,0,3}231.57
Minor Triadscm{0,3,7}331.43
c♯m{1,4,8}241.86
Augmented TriadsC+{0,4,8}331.43
Diminished Triads{0,3,6}142.14
c♯°{1,4,7}231.71
Parsimonious Voice Leading Between Common Triads of Scale 479. Created by Ian Ring ©2019 cm cm c°->cm C C cm->C G# G# cm->G# C+ C+ C->C+ c#° c#° C->c#° c#m c#m C+->c#m C+->G# c#°->c#m

view full size

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter4
Radius2
Self-Centeredno
Central VerticesC
Peripheral Verticesc°, c♯m

Modes

Modes are the rotational transformation of this scale. Scale 479 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2287
Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
3rd mode:
Scale 3191
Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
4th mode:
Scale 3643
Scale 3643: Kydyllic, Ian Ring Music TheoryKydyllic
5th mode:
Scale 3869
Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
6th mode:
Scale 1991
Scale 1991: Phryptyllic, Ian Ring Music TheoryPhryptyllic
7th mode:
Scale 3043
Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
8th mode:
Scale 3569
Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic

Prime

This is the prime form of this scale.

Complement

The octatonic modal family [479, 2287, 3191, 3643, 3869, 1991, 3043, 3569] (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 479 is 3953

Scale 3953Scale 3953: Thagyllic, Ian Ring Music TheoryThagyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 479 is chiral, and its enantiomorph is scale 3953

Scale 3953Scale 3953: Thagyllic, Ian Ring Music TheoryThagyllic

Transformations:

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

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 477Scale 477: Stacrian, Ian Ring Music TheoryStacrian
Scale 475Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian
Scale 463Scale 463: Zythian, Ian Ring Music TheoryZythian
Scale 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic
Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic
Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian
Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic
Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian
Scale 223Scale 223, Ian Ring Music Theory
Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic
Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic
Scale 1503Scale 1503: Padygic, Ian Ring Music TheoryPadygic
Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.