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Scale 599: "Thyrimic"

Scale 599: Thyrimic, 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
Thyrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,6,9}
Forte Number6-Z46
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3401
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {9,10,11}
Spectra Variation2.667
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 TriadsD{2,6,9}131.6
A{9,1,4}221.2
Minor Triadsf♯m{6,9,1}321
am{9,0,4}231.4
Diminished Triadsf♯°{6,9,0}221.2
Parsimonious Voice Leading Between Common Triads of Scale 599. Created by Ian Ring ©2019 D D f#m f#m D->f#m f#° f#° f#°->f#m am am f#°->am A A f#m->A am->A

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.

Diameter3
Radius2
Self-Centeredno
Central Verticesf♯°, f♯m, A
Peripheral VerticesD, am

Modes

Modes are the rotational transformation of this scale. Scale 599 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2347
Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
3rd mode:
Scale 3221
Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
4th mode:
Scale 1829
Scale 1829: Pathimic, Ian Ring Music TheoryPathimic
5th mode:
Scale 1481
Scale 1481: Zagimic, Ian Ring Music TheoryZagimic
6th mode:
Scale 697
Scale 697: Lagimic, Ian Ring Music TheoryLagimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [599, 2347, 3221, 1829, 1481, 697] (Forte: 6-Z46) is the complement of the hexatonic modal family [347, 1457, 1579, 1733, 2221, 2837] (Forte: 6-Z24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 599 is 3401

Scale 3401Scale 3401: Palimic, Ian Ring Music TheoryPalimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 599 is chiral, and its enantiomorph is scale 3401

Scale 3401Scale 3401: Palimic, Ian Ring Music TheoryPalimic

Transformations:

T0 599  T0I 3401
T1 1198  T1I 2707
T2 2396  T2I 1319
T3 697  T3I 2638
T4 1394  T4I 1181
T5 2788  T5I 2362
T6 1481  T6I 629
T7 2962  T7I 1258
T8 1829  T8I 2516
T9 3658  T9I 937
T10 3221  T10I 1874
T11 2347  T11I 3748

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 597Scale 597: Kung, Ian Ring Music TheoryKung
Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic
Scale 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic
Scale 607Scale 607: Kadian, Ian Ring Music TheoryKadian
Scale 583Scale 583: Aeritonic, Ian Ring Music TheoryAeritonic
Scale 591Scale 591: Gaptimic, Ian Ring Music TheoryGaptimic
Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic
Scale 631Scale 631: Zygian, Ian Ring Music TheoryZygian
Scale 535Scale 535, Ian Ring Music Theory
Scale 567Scale 567: Aeoladimic, Ian Ring Music TheoryAeoladimic
Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic
Scale 727Scale 727: Phradian, Ian Ring Music TheoryPhradian
Scale 855Scale 855: Porian, Ian Ring Music TheoryPorian
Scale 87Scale 87, Ian Ring Music Theory
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 1111Scale 1111: Sycrimic, Ian Ring Music TheorySycrimic
Scale 1623Scale 1623: Lothian, Ian Ring Music TheoryLothian
Scale 2647Scale 2647: Dadian, Ian Ring Music TheoryDadian

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.