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Scale 4069: "Starygic"

Scale 4069: Starygic, 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
Starygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,5,6,7,8,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1279
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4069 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2041
Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic
3rd mode:
Scale 767
Scale 767: Raptygic, Ian Ring Music TheoryRaptygicThis is the prime mode
4th mode:
Scale 2431
Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
5th mode:
Scale 3263
Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic
6th mode:
Scale 3679
Scale 3679: Rycrygic, Ian Ring Music TheoryRycrygic
7th mode:
Scale 3887
Scale 3887: Phrathygic, Ian Ring Music TheoryPhrathygic
8th mode:
Scale 3991
Scale 3991: Badygic, Ian Ring Music TheoryBadygic
9th mode:
Scale 4043
Scale 4043: Phrocrygic, Ian Ring Music TheoryPhrocrygic

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic

Complement

The nonatonic modal family [4069, 2041, 767, 2431, 3263, 3679, 3887, 3991, 4043] (Forte: 9-2) is the complement of the tritonic modal family [11, 1537, 2053] (Forte: 3-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4069 is 1279

Scale 1279Scale 1279: Sarygic, Ian Ring Music TheorySarygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 4069 is chiral, and its enantiomorph is scale 1279

Scale 1279Scale 1279: Sarygic, Ian Ring Music TheorySarygic

Transformations:

T0 4069  T0I 1279
T1 4043  T1I 2558
T2 3991  T2I 1021
T3 3887  T3I 2042
T4 3679  T4I 4084
T5 3263  T5I 4073
T6 2431  T6I 4051
T7 767  T7I 4007
T8 1534  T8I 3919
T9 3068  T9I 3743
T10 2041  T10I 3391
T11 4082  T11I 2687

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 4071Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
Scale 4065Scale 4065, Ian Ring Music Theory
Scale 4067Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic
Scale 4073Scale 4073: Sathygic, Ian Ring Music TheorySathygic
Scale 4077Scale 4077: Gothyllian, Ian Ring Music TheoryGothyllian
Scale 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 4037Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic
Scale 4053Scale 4053: Kyrygic, Ian Ring Music TheoryKyrygic
Scale 4005Scale 4005, Ian Ring Music Theory
Scale 3941Scale 3941: Stathyllic, Ian Ring Music TheoryStathyllic
Scale 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
Scale 3557Scale 3557, Ian Ring Music Theory
Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic

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.