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Scale 3573: "Kaptygic"

Scale 3573: Kaptygic, 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
Kaptygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,4,5,6,7,8,10,11}
Forte Number9-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1527
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1503
Deep Scaleno
Interval Vector676764
Interval Spectrump6m7n6s7d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.556
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3573 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1917
Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian
3rd mode:
Scale 1503
Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllianThis is the prime mode
4th mode:
Scale 2799
Scale 2799: Lyryllian, Ian Ring Music TheoryLyryllian
5th mode:
Scale 3447
Scale 3447: Mogyllian, Ian Ring Music TheoryMogyllian
6th mode:
Scale 3771
Scale 3771: Katodyllian, Ian Ring Music TheoryKatodyllian
7th mode:
Scale 3933
Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic
8th mode:
Scale 2007
Scale 2007: Stonygic, Ian Ring Music TheoryStonygic
9th mode:
Scale 3051
Scale 3051: Stalygic, Ian Ring Music TheoryStalygic

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian

Complement

The nonatonic modal family [3573, 1917, 1503, 2799, 3447, 3771, 3933, 2007, 3051] (Forte: 9-8) is the complement of the tritonic modal family [69, 321, 1041] (Forte: 3-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3573 is 1527

Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3573 is chiral, and its enantiomorph is scale 1527

Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic

Transformations:

T0 3573  T0I 1527
T1 3051  T1I 3054
T2 2007  T2I 2013
T3 4014  T3I 4026
T4 3933  T4I 3957
T5 3771  T5I 3819
T6 3447  T6I 3543
T7 2799  T7I 2991
T8 1503  T8I 1887
T9 3006  T9I 3774
T10 1917  T10I 3453
T11 3834  T11I 2811

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 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 3571Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
Scale 3577Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 3557Scale 3557, Ian Ring Music Theory
Scale 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic
Scale 3541Scale 3541: Racryllic, Ian Ring Music TheoryRacryllic
Scale 3509Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
Scale 3445Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic
Scale 3829Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
Scale 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 2549Scale 2549: Rydyllic, Ian Ring Music TheoryRydyllic
Scale 3061Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
Scale 1525Scale 1525: Sodyllic, Ian Ring Music TheorySodyllic

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.