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Scale 1915: "Thydygic"

Scale 1915: Thydygic, 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
Thydygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,4,5,6,8,9,10}
Forte Number9-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3037
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1915 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3005
Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic
3rd mode:
Scale 1775
Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygicThis is the prime mode
4th mode:
Scale 2935
Scale 2935: Modygic, Ian Ring Music TheoryModygic
5th mode:
Scale 3515
Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
6th mode:
Scale 3805
Scale 3805: Moptygic, Ian Ring Music TheoryMoptygic
7th mode:
Scale 1975
Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic
8th mode:
Scale 3035
Scale 3035: Gocrygic, Ian Ring Music TheoryGocrygic
9th mode:
Scale 3565
Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic

Complement

The nonatonic modal family [1915, 3005, 1775, 2935, 3515, 3805, 1975, 3035, 3565] (Forte: 9-11) is the complement of the tritonic modal family [137, 289, 529] (Forte: 3-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1915 is 3037

Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1915 is chiral, and its enantiomorph is scale 3037

Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale

Transformations:

T0 1915  T0I 3037
T1 3830  T1I 1979
T2 3565  T2I 3958
T3 3035  T3I 3821
T4 1975  T4I 3547
T5 3950  T5I 2999
T6 3805  T6I 1903
T7 3515  T7I 3806
T8 2935  T8I 3517
T9 1775  T9I 2939
T10 3550  T10I 1783
T11 3005  T11I 3566

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 1913Scale 1913, Ian Ring Music Theory
Scale 1917Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian
Scale 1919Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllian
Scale 1907Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic
Scale 1911Scale 1911: Messiaen Mode 3, Ian Ring Music TheoryMessiaen Mode 3
Scale 1899Scale 1899: Moptyllic, Ian Ring Music TheoryMoptyllic
Scale 1883Scale 1883, Ian Ring Music Theory
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1979Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic
Scale 2043Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
Scale 1787Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic
Scale 1403Scale 1403: Espla's Scale, Ian Ring Music TheoryEspla's Scale
Scale 891Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllic
Scale 2939Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
Scale 3963Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian

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.