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Scale 549: "Raga Bhavani"

Scale 549: Raga Bhavani, 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 Bhavani
Zeitler
Rothic

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,2,5,9}
Forte Number4-26
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes3
Prime?no
prime: 297
Deep Scaleno
Interval Vector012120
Interval Spectrump2mn2s
Distribution Spectra<1> = {2,3,4}
<2> = {5,7}
<3> = {8,9,10}
Spectra Variation1.5
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Balancedno
Ridge Tones[2]
ProprietyStrictly Proper
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
Minor Triadsdm{2,5,9}110.5
Parsimonious Voice Leading Between Common Triads of Scale 549. Created by Ian Ring ©2019 dm dm F F dm->F

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 549 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1161
Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu
3rd mode:
Scale 657
Scale 657: Epathic, Ian Ring Music TheoryEpathic
4th mode:
Scale 297
Scale 297: Mynic, Ian Ring Music TheoryMynicThis is the prime mode

Prime

The prime form of this scale is Scale 297

Scale 297Scale 297: Mynic, Ian Ring Music TheoryMynic

Complement

The tetratonic modal family [549, 1161, 657, 297] (Forte: 4-26) is the complement of the octatonic modal family [1467, 1719, 1773, 1899, 2781, 2907, 2997, 3501] (Forte: 8-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 549 is 1161

Scale 1161Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu

Transformations:

T0 549  T0I 1161
T1 1098  T1I 2322
T2 2196  T2I 549
T3 297  T3I 1098
T4 594  T4I 2196
T5 1188  T5I 297
T6 2376  T6I 594
T7 657  T7I 1188
T8 1314  T8I 2376
T9 2628  T9I 657
T10 1161  T10I 1314
T11 2322  T11I 2628

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 551Scale 551: Aeoloditonic, Ian Ring Music TheoryAeoloditonic
Scale 545Scale 545, Ian Ring Music Theory
Scale 547Scale 547: Pyrric, Ian Ring Music TheoryPyrric
Scale 553Scale 553: Rothic, Ian Ring Music TheoryRothic
Scale 557Scale 557: Raga Abhogi, Ian Ring Music TheoryRaga Abhogi
Scale 565Scale 565: Aeolyphritonic, Ian Ring Music TheoryAeolyphritonic
Scale 517Scale 517, Ian Ring Music Theory
Scale 533Scale 533, Ian Ring Music Theory
Scale 581Scale 581: Eporic, Ian Ring Music TheoryEporic
Scale 613Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
Scale 677Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic
Scale 805Scale 805: Rothitonic, Ian Ring Music TheoryRothitonic
Scale 37Scale 37, Ian Ring Music Theory
Scale 293Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga Haripriya
Scale 1061Scale 1061, Ian Ring Music Theory
Scale 1573Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari
Scale 2597Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani

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.