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Scale 3013: "Thynian"

Scale 3013: Thynian, 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
Thynian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,6,7,8,9,11}
Forte Number7-Z36
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1147
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 367
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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}231.4
G{7,11,2}231.4
Minor Triadsbm{11,2,6}221.2
Diminished Triadsf♯°{6,9,0}142
g♯°{8,11,2}142
Parsimonious Voice Leading Between Common Triads of Scale 3013. Created by Ian Ring ©2019 D D f#° f#° D->f#° bm bm D->bm Parsimonious Voice Leading Between Common Triads of Scale 3013. Created by Ian Ring ©2019 G g#° g#° G->g#° G->bm

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 Verticesbm
Peripheral Verticesf♯°, g♯°

Modes

Modes are the rotational transformation of this scale. Scale 3013 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1777
Scale 1777: Saptian, Ian Ring Music TheorySaptian
3rd mode:
Scale 367
Scale 367: Aerodian, Ian Ring Music TheoryAerodianThis is the prime mode
4th mode:
Scale 2231
Scale 2231: Macrian, Ian Ring Music TheoryMacrian
5th mode:
Scale 3163
Scale 3163: Rogian, Ian Ring Music TheoryRogian
6th mode:
Scale 3629
Scale 3629: Boptian, Ian Ring Music TheoryBoptian
7th mode:
Scale 1931
Scale 1931: Stogian, Ian Ring Music TheoryStogian

Prime

The prime form of this scale is Scale 367

Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian

Complement

The heptatonic modal family [3013, 1777, 367, 2231, 3163, 3629, 1931] (Forte: 7-Z36) is the complement of the pentatonic modal family [151, 737, 1801, 2123, 3109] (Forte: 5-Z36)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3013 is 1147

Scale 1147Scale 1147: Epynian, Ian Ring Music TheoryEpynian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3013 is chiral, and its enantiomorph is scale 1147

Scale 1147Scale 1147: Epynian, Ian Ring Music TheoryEpynian

Transformations:

T0 3013  T0I 1147
T1 1931  T1I 2294
T2 3862  T2I 493
T3 3629  T3I 986
T4 3163  T4I 1972
T5 2231  T5I 3944
T6 367  T6I 3793
T7 734  T7I 3491
T8 1468  T8I 2887
T9 2936  T9I 1679
T10 1777  T10I 3358
T11 3554  T11I 2621

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 3015Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic
Scale 3009Scale 3009, Ian Ring Music Theory
Scale 3011Scale 3011, Ian Ring Music Theory
Scale 3017Scale 3017: Gacrian, Ian Ring Music TheoryGacrian
Scale 3021Scale 3021: Stodyllic, Ian Ring Music TheoryStodyllic
Scale 3029Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
Scale 2949Scale 2949, Ian Ring Music Theory
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 2885Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 2501Scale 2501: Ralimic, Ian Ring Music TheoryRalimic
Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
Scale 4037Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic
Scale 965Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
Scale 1989Scale 1989: Dydian, Ian Ring Music TheoryDydian

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.