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Scale 3453: "Katarygic"

Scale 3453: Katarygic, 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
Katarygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,8,10,11}
Forte Number9-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2007
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 3453 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1887
Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
3rd mode:
Scale 2991
Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
4th mode:
Scale 3543
Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
5th mode:
Scale 3819
Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
6th mode:
Scale 3957
Scale 3957: Porygic, Ian Ring Music TheoryPorygic
7th mode:
Scale 2013
Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic
8th mode:
Scale 1527
Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
9th mode:
Scale 2811
Scale 2811: Barygic, Ian Ring Music TheoryBarygic

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian

Complement

The nonatonic modal family [3453, 1887, 2991, 3543, 3819, 3957, 2013, 1527, 2811] (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 3453 is 2007

Scale 2007Scale 2007: Stonygic, Ian Ring Music TheoryStonygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3453 is chiral, and its enantiomorph is scale 2007

Scale 2007Scale 2007: Stonygic, Ian Ring Music TheoryStonygic

Transformations:

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

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 3455Scale 3455: Ryptyllian, Ian Ring Music TheoryRyptyllian
Scale 3449Scale 3449: Bacryllic, Ian Ring Music TheoryBacryllic
Scale 3451Scale 3451: Garygic, Ian Ring Music TheoryGarygic
Scale 3445Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse
Scale 3437Scale 3437, Ian Ring Music Theory
Scale 3421Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
Scale 3389Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
Scale 3517Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
Scale 3709Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
Scale 3965Scale 3965: Messiaen Mode 7 Inverse, Ian Ring Music TheoryMessiaen Mode 7 Inverse
Scale 2429Scale 2429: Kadyllic, Ian Ring Music TheoryKadyllic
Scale 2941Scale 2941: Laptygic, Ian Ring Music TheoryLaptygic
Scale 1405Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic

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.