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Scale 467: "Raga Dhavalangam"

Scale 467: Raga Dhavalangam, 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 Dhavalangam
Zeitler
Phrogimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,6,7,8}
Forte Number6-Z17
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2417
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
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 TriadsC{0,4,7}221
Minor Triadsc♯m{1,4,8}221
Augmented TriadsC+{0,4,8}221
Diminished Triadsc♯°{1,4,7}221
Parsimonious Voice Leading Between Common Triads of Scale 467. Created by Ian Ring ©2019 C C C+ C+ C->C+ c#° c#° C->c#° c#m c#m C+->c#m c#°->c#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
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 467 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2281
Scale 2281: Rathimic, Ian Ring Music TheoryRathimic
3rd mode:
Scale 797
Scale 797: Katocrimic, Ian Ring Music TheoryKatocrimic
4th mode:
Scale 1223
Scale 1223: Phryptimic, Ian Ring Music TheoryPhryptimic
5th mode:
Scale 2659
Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
6th mode:
Scale 3377
Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic

Prime

The prime form of this scale is Scale 407

Scale 407Scale 407: Zylimic, Ian Ring Music TheoryZylimic

Complement

The hexatonic modal family [467, 2281, 797, 1223, 2659, 3377] (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 467 is 2417

Scale 2417Scale 2417: Kanimic, Ian Ring Music TheoryKanimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 467 is chiral, and its enantiomorph is scale 2417

Scale 2417Scale 2417: Kanimic, Ian Ring Music TheoryKanimic

Transformations:

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

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 465Scale 465: Zoditonic, Ian Ring Music TheoryZoditonic
Scale 469Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic
Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian
Scale 475Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
Scale 451Scale 451: Raga Saugandhini, Ian Ring Music TheoryRaga Saugandhini
Scale 459Scale 459: Zaptimic, Ian Ring Music TheoryZaptimic
Scale 483Scale 483: Kygimic, Ian Ring Music TheoryKygimic
Scale 499Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian
Scale 403Scale 403: Raga Reva, Ian Ring Music TheoryRaga Reva
Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic
Scale 211Scale 211, Ian Ring Music Theory
Scale 723Scale 723: Ionadimic, Ian Ring Music TheoryIonadimic
Scale 979Scale 979: Mela Dhavalambari, Ian Ring Music TheoryMela Dhavalambari
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
Scale 2515Scale 2515: Chromatic Hypolydian, Ian Ring Music TheoryChromatic Hypolydian

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.