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Scale 711: "Raga Chandrajyoti"

Scale 711: Raga Chandrajyoti, 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 Chandrajyoti
Zeitler
Epyrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,6,7,9}
Forte Number6-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3177
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 423
Deep Scaleno
Interval Vector322242
Interval Spectrump4m2n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {5,6,7}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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 TriadsD{2,6,9}121
Minor Triadsf♯m{6,9,1}210.67
Diminished Triadsf♯°{6,9,0}121
Parsimonious Voice Leading Between Common Triads of Scale 711. Created by Ian Ring ©2019 D D f#m f#m D->f#m f#° f#° f#°->f#m

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
Radius1
Self-Centeredno
Central Verticesf♯m
Peripheral VerticesD, f♯°

Modes

Modes are the rotational transformation of this scale. Scale 711 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2403
Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
3rd mode:
Scale 3249
Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
4th mode:
Scale 459
Scale 459: Zaptimic, Ian Ring Music TheoryZaptimic
5th mode:
Scale 2277
Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
6th mode:
Scale 1593
Scale 1593: Zogimic, Ian Ring Music TheoryZogimic

Prime

The prime form of this scale is Scale 423

Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic

Complement

The hexatonic modal family [711, 2403, 3249, 459, 2277, 1593] (Forte: 6-18) is the complement of the hexatonic modal family [423, 909, 1251, 2259, 2673, 3177] (Forte: 6-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 711 is 3177

Scale 3177Scale 3177: Rothimic, Ian Ring Music TheoryRothimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 711 is chiral, and its enantiomorph is scale 3177

Scale 3177Scale 3177: Rothimic, Ian Ring Music TheoryRothimic

Transformations:

T0 711  T0I 3177
T1 1422  T1I 2259
T2 2844  T2I 423
T3 1593  T3I 846
T4 3186  T4I 1692
T5 2277  T5I 3384
T6 459  T6I 2673
T7 918  T7I 1251
T8 1836  T8I 2502
T9 3672  T9I 909
T10 3249  T10I 1818
T11 2403  T11I 3636

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 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 707Scale 707, Ian Ring Music Theory
Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 719Scale 719: Kanian, Ian Ring Music TheoryKanian
Scale 727Scale 727: Phradian, Ian Ring Music TheoryPhradian
Scale 743Scale 743: Chromatic Hypophrygian Inverse, Ian Ring Music TheoryChromatic Hypophrygian Inverse
Scale 647Scale 647, Ian Ring Music Theory
Scale 679Scale 679: Lanimic, Ian Ring Music TheoryLanimic
Scale 583Scale 583: Aeritonic, Ian Ring Music TheoryAeritonic
Scale 839Scale 839: Ionathimic, Ian Ring Music TheoryIonathimic
Scale 967Scale 967: Mela Salaga, Ian Ring Music TheoryMela Salaga
Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani
Scale 455Scale 455: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 1223Scale 1223: Phryptimic, Ian Ring Music TheoryPhryptimic
Scale 1735Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
Scale 2759Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani

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.