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Scale 2659: "Katynimic"

Scale 2659: Katynimic, 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
Katynimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,5,6,9,11}
Forte Number6-Z17
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2251
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 407
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {4,6,8}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2659 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3377
Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic
3rd mode:
Scale 467
Scale 467: Raga Dhavalangam, Ian Ring Music TheoryRaga Dhavalangam
4th mode:
Scale 2281
Scale 2281: Rathimic, Ian Ring Music TheoryRathimic
5th mode:
Scale 797
Scale 797: Katocrimic, Ian Ring Music TheoryKatocrimic
6th mode:
Scale 1223
Scale 1223: Phryptimic, Ian Ring Music TheoryPhryptimic

Prime

The prime form of this scale is Scale 407

Scale 407Scale 407: Zylimic, Ian Ring Music TheoryZylimic

Complement

The hexatonic modal family [2659, 3377, 467, 2281, 797, 1223] (Forte: 6-Z17) is the complement of the hexatonic modal family [359, 907, 1649, 2227, 2501, 3161] (Forte: 6-Z43)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2659 is 2251

Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2659 is chiral, and its enantiomorph is scale 2251

Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic

Transformations:

T0 2659  T0I 2251
T1 1223  T1I 407
T2 2446  T2I 814
T3 797  T3I 1628
T4 1594  T4I 3256
T5 3188  T5I 2417
T6 2281  T6I 739
T7 467  T7I 1478
T8 934  T8I 2956
T9 1868  T9I 1817
T10 3736  T10I 3634
T11 3377  T11I 3173

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 2657Scale 2657, Ian Ring Music Theory
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian
Scale 2667Scale 2667: Byrian, Ian Ring Music TheoryByrian
Scale 2675Scale 2675: Chromatic Lydian, Ian Ring Music TheoryChromatic Lydian
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 2147Scale 2147, Ian Ring Music Theory
Scale 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
Scale 3171Scale 3171: Zythimic, Ian Ring Music TheoryZythimic
Scale 3683Scale 3683: Dycrian, Ian Ring Music TheoryDycrian
Scale 611Scale 611: Anchihoye, Ian Ring Music TheoryAnchihoye
Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic

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.