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Scale 2601: "Raga Chandrakauns"

Scale 2601: Raga Chandrakauns, 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

Carnatic Raga
Raga Chandrakauns
Unknown / Unsorted
Marga Hindola
Rajeshwari
Zeitler
Docritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,5,9,11}
Forte Number5-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 651
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 333
Deep Scaleno
Interval Vector122212
Interval Spectrumpm2n2s2dt2
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Maximally Evenno
Maximal Area Setno
Interior Area2.049
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 TriadsF{5,9,0}110.5
Diminished Triads{9,0,3}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2601. Created by Ian Ring ©2019 F F F->a°

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2601 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 837
Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
3rd mode:
Scale 1233
Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic
4th mode:
Scale 333
Scale 333: Bogitonic, Ian Ring Music TheoryBogitonicThis is the prime mode
5th mode:
Scale 1107
Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic

Prime

The prime form of this scale is Scale 333

Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic

Complement

The pentatonic modal family [2601, 837, 1233, 333, 1107] (Forte: 5-28) is the complement of the heptatonic modal family [747, 1431, 1629, 1881, 2421, 2763, 3429] (Forte: 7-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2601 is 651

Scale 651Scale 651: Golitonic, Ian Ring Music TheoryGolitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2601 is chiral, and its enantiomorph is scale 651

Scale 651Scale 651: Golitonic, Ian Ring Music TheoryGolitonic

Transformations:

T0 2601  T0I 651
T1 1107  T1I 1302
T2 2214  T2I 2604
T3 333  T3I 1113
T4 666  T4I 2226
T5 1332  T5I 357
T6 2664  T6I 714
T7 1233  T7I 1428
T8 2466  T8I 2856
T9 837  T9I 1617
T10 1674  T10I 3234
T11 3348  T11I 2373

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 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 2593Scale 2593, Ian Ring Music Theory
Scale 2597Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani
Scale 2609Scale 2609: Raga Bhinna Shadja, Ian Ring Music TheoryRaga Bhinna Shadja
Scale 2617Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
Scale 2569Scale 2569, Ian Ring Music Theory
Scale 2585Scale 2585, Ian Ring Music Theory
Scale 2633Scale 2633: Bartók Beta Chord, Ian Ring Music TheoryBartók Beta Chord
Scale 2665Scale 2665: Aeradimic, Ian Ring Music TheoryAeradimic
Scale 2729Scale 2729: Aeragimic, Ian Ring Music TheoryAeragimic
Scale 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 2089Scale 2089, Ian Ring Music Theory
Scale 2345Scale 2345: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 3113Scale 3113, Ian Ring Music Theory
Scale 3625Scale 3625: Podimic, Ian Ring Music TheoryPodimic
Scale 553Scale 553: Rothic 2, Ian Ring Music TheoryRothic 2
Scale 1577Scale 1577: Raga Chandrakauns (Kafi), Ian Ring Music TheoryRaga Chandrakauns (Kafi)

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.