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Scale 529: "Raga Bilwadala"

Scale 529: Raga Bilwadala, 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

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 Bilwadala


Cardinality3 (tritonic)
Pitch Class Set{0,4,9}
Forte Number3-11
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 265
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 137
Deep Scaleno
Interval Vector001110
Interval Spectrumpmn
Distribution Spectra<1> = {3,4,5}
<2> = {7,8,9}
Spectra Variation1.333
Maximally Evenno
Maximal Area Setno
Interior Area1.183
Myhill Propertyno
Ridge Tonesnone
ProprietyStrictly Proper

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
Minor Triadsam{9,0,4}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.


Modes are the rotational transformation of this scale. Scale 529 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 289
Scale 289, Ian Ring Music Theory
3rd mode:
Scale 137
Scale 137: Ute Tritonic, Ian Ring Music TheoryUte TritonicThis is the prime mode


The prime form of this scale is Scale 137

Scale 137Scale 137: Ute Tritonic, Ian Ring Music TheoryUte Tritonic


The tritonic modal family [529, 289, 137] (Forte: 3-11) is the complement of the nonatonic modal family [1775, 1915, 1975, 2935, 3005, 3035, 3515, 3565, 3805] (Forte: 9-11)


The inverse of a scale is a reflection using the root as its axis. The inverse of 529 is 265

Scale 265Scale 265, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 529 is chiral, and its enantiomorph is scale 265

Scale 265Scale 265, Ian Ring Music Theory


T0 529  T0I 265
T1 1058  T1I 530
T2 2116  T2I 1060
T3 137  T3I 2120
T4 274  T4I 145
T5 548  T5I 290
T6 1096  T6I 580
T7 2192  T7I 1160
T8 289  T8I 2320
T9 578  T9I 545
T10 1156  T10I 1090
T11 2312  T11I 2180

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 531Scale 531, Ian Ring Music Theory
Scale 533Scale 533, Ian Ring Music Theory
Scale 537Scale 537, Ian Ring Music Theory
Scale 513Scale 513, Ian Ring Music Theory
Scale 521Scale 521, Ian Ring Music Theory
Scale 545Scale 545, Ian Ring Music Theory
Scale 561Scale 561: Phratic, Ian Ring Music TheoryPhratic
Scale 593Scale 593: Saric, Ian Ring Music TheorySaric
Scale 657Scale 657: Epathic, Ian Ring Music TheoryEpathic
Scale 785Scale 785: Aeoloric, Ian Ring Music TheoryAeoloric
Scale 17Scale 17, Ian Ring Music Theory
Scale 273Scale 273: Augmented Triad, Ian Ring Music TheoryAugmented Triad
Scale 1041Scale 1041, Ian Ring Music Theory
Scale 1553Scale 1553, Ian Ring Music Theory
Scale 2577Scale 2577, Ian Ring Music Theory

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 ( 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.