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Scale 2441: "Kyritonic"

Scale 2441: Kyritonic, 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
Kyritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,7,8,11}
Forte Number5-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 563
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 307
Deep Scaleno
Interval Vector202420
Interval Spectrump2m4n2d2
Distribution Spectra<1> = {1,3,4}
<2> = {4,5,7}
<3> = {5,7,8}
<4> = {8,9,11}
Spectra Variation2.4
Maximally Evenno
Maximal Area Setno
Interior Area1.933
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsG♯{8,0,3}221
Minor Triadscm{0,3,7}221
g♯m{8,11,3}221
Augmented TriadsD♯+{3,7,11}221
Parsimonious Voice Leading Between Common Triads of Scale 2441. Created by Ian Ring ©2019 cm cm D#+ D#+ cm->D#+ G# G# cm->G# g#m g#m D#+->g#m g#m->G#

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter2
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2441 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 817
Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic
3rd mode:
Scale 307
Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga MegharanjaniThis is the prime mode
4th mode:
Scale 2201
Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic
5th mode:
Scale 787
Scale 787: Aeolapritonic, Ian Ring Music TheoryAeolapritonic

Prime

The prime form of this scale is Scale 307

Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani

Complement

The pentatonic modal family [2441, 817, 307, 2201, 787] (Forte: 5-21) is the complement of the heptatonic modal family [823, 883, 1843, 2459, 2489, 2969, 3277] (Forte: 7-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2441 is 563

Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2441 is chiral, and its enantiomorph is scale 563

Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic

Transformations:

T0 2441  T0I 563
T1 787  T1I 1126
T2 1574  T2I 2252
T3 3148  T3I 409
T4 2201  T4I 818
T5 307  T5I 1636
T6 614  T6I 3272
T7 1228  T7I 2449
T8 2456  T8I 803
T9 817  T9I 1606
T10 1634  T10I 3212
T11 3268  T11I 2329

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 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic
Scale 2445Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
Scale 2433Scale 2433, Ian Ring Music Theory
Scale 2437Scale 2437, Ian Ring Music Theory
Scale 2449Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic
Scale 2457Scale 2457: Major Augmented, Ian Ring Music TheoryMajor Augmented
Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
Scale 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic
Scale 2313Scale 2313, Ian Ring Music Theory
Scale 2377Scale 2377: Bartók Gamma Chord, Ian Ring Music TheoryBartók Gamma Chord
Scale 2185Scale 2185: Dygic, Ian Ring Music TheoryDygic
Scale 2697Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic
Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic
Scale 3465Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic
Scale 393Scale 393: Lothic, Ian Ring Music TheoryLothic
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.