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Scale 4053: "Kyrygic"

Scale 4053: Kyrygic, 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
Kyrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,4,6,7,8,9,10,11}
Forte Number9-6
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1407
Deep Scaleno
Interval Vector686763
Interval Spectrump6m7n6s8d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[6]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4053 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2037
Scale 2037: Sythygic, Ian Ring Music TheorySythygic
3rd mode:
Scale 1533
Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
4th mode:
Scale 1407
Scale 1407: Tharygic, Ian Ring Music TheoryTharygicThis is the prime mode
5th mode:
Scale 2751
Scale 2751: Sylygic, Ian Ring Music TheorySylygic
6th mode:
Scale 3423
Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
7th mode:
Scale 3759
Scale 3759: Darygic, Ian Ring Music TheoryDarygic
8th mode:
Scale 3927
Scale 3927: Monygic, Ian Ring Music TheoryMonygic
9th mode:
Scale 4011
Scale 4011: Styrygic, Ian Ring Music TheoryStyrygic

Prime

The prime form of this scale is Scale 1407

Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic

Complement

The nonatonic modal family [4053, 2037, 1533, 1407, 2751, 3423, 3759, 3927, 4011] (Forte: 9-6) is the complement of the tritonic modal family [21, 1029, 1281] (Forte: 3-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4053 is 1407

Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic

Transformations:

T0 4053  T0I 1407
T1 4011  T1I 2814
T2 3927  T2I 1533
T3 3759  T3I 3066
T4 3423  T4I 2037
T5 2751  T5I 4074
T6 1407  T6I 4053
T7 2814  T7I 4011
T8 1533  T8I 3927
T9 3066  T9I 3759
T10 2037  T10I 3423
T11 4074  T11I 2751

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 4055Scale 4055: Dagyllian, Ian Ring Music TheoryDagyllian
Scale 4049Scale 4049: Stycryllic, Ian Ring Music TheoryStycryllic
Scale 4051Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
Scale 4057Scale 4057: Phrygic, Ian Ring Music TheoryPhrygic
Scale 4061Scale 4061: Staptyllian, Ian Ring Music TheoryStaptyllian
Scale 4037Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic
Scale 4045Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
Scale 4069Scale 4069: Starygic, Ian Ring Music TheoryStarygic
Scale 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 3989Scale 3989: Sythyllic, Ian Ring Music TheorySythyllic
Scale 4021Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
Scale 3925Scale 3925: Thyryllic, Ian Ring Music TheoryThyryllic
Scale 3797Scale 3797: Rocryllic, Ian Ring Music TheoryRocryllic
Scale 3541Scale 3541: Racryllic, Ian Ring Music TheoryRacryllic
Scale 3029Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
Scale 2005Scale 2005: Gygyllic, Ian Ring Music TheoryGygyllic

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.