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Scale 2217: "Kagitonic"

Scale 2217: Kagitonic, 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
Kagitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,5,7,11}
Forte Number5-30
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 675
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 339
Deep Scaleno
Interval Vector121321
Interval Spectrump2m3ns2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {4,5,6}
<3> = {6,7,8}
<4> = {8,9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2217 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 789
Scale 789: Zogitonic, Ian Ring Music TheoryZogitonic
3rd mode:
Scale 1221
Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic
4th mode:
Scale 1329
Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
5th mode:
Scale 339
Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonicThis is the prime mode

Prime

The prime form of this scale is Scale 339

Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic

Complement

The pentatonic modal family [2217, 789, 1221, 1329, 339] (Forte: 5-30) is the complement of the heptatonic modal family [855, 1395, 1485, 1845, 2475, 2745, 3285] (Forte: 7-30)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2217 is 675

Scale 675Scale 675: Altered Pentatonic, Ian Ring Music TheoryAltered Pentatonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2217 is chiral, and its enantiomorph is scale 675

Scale 675Scale 675: Altered Pentatonic, Ian Ring Music TheoryAltered Pentatonic

Transformations:

T0 2217  T0I 675
T1 339  T1I 1350
T2 678  T2I 2700
T3 1356  T3I 1305
T4 2712  T4I 2610
T5 1329  T5I 1125
T6 2658  T6I 2250
T7 1221  T7I 405
T8 2442  T8I 810
T9 789  T9I 1620
T10 1578  T10I 3240
T11 3156  T11I 2385

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 2219Scale 2219: Phrydimic, Ian Ring Music TheoryPhrydimic
Scale 2221Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
Scale 2209Scale 2209, Ian Ring Music Theory
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
Scale 2225Scale 2225: Ionian Pentatonic, Ian Ring Music TheoryIonian Pentatonic
Scale 2233Scale 2233: Donimic, Ian Ring Music TheoryDonimic
Scale 2185Scale 2185: Dygic, Ian Ring Music TheoryDygic
Scale 2201Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic
Scale 2249Scale 2249: Raga Multani, Ian Ring Music TheoryRaga Multani
Scale 2281Scale 2281: Rathimic, Ian Ring Music TheoryRathimic
Scale 2089Scale 2089, Ian Ring Music Theory
Scale 2153Scale 2153, Ian Ring Music Theory
Scale 2345Scale 2345: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
Scale 2729Scale 2729: Aeragimic, Ian Ring Music TheoryAeragimic
Scale 3241Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
Scale 169Scale 169: Vietnamese Tetratonic, Ian Ring Music TheoryVietnamese Tetratonic
Scale 1193Scale 1193: Minor Pentatonic, Ian Ring Music TheoryMinor Pentatonic

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.