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Scale 2099: "Raga Megharanji"

Scale 2099: Raga Megharanji, 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 Megharanji


Cardinality5 (pentatonic)
Pitch Class Set{0,1,4,5,11}
Forte Number5-6
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2435
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 103
Deep Scaleno
Interval Vector311221
Interval Spectrump2m2nsd3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {6,9,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.25
Myhill Propertyno
Ridge Tonesnone

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.


Modes are the rotational transformation of this scale. Scale 2099 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3097
Scale 3097, Ian Ring Music Theory
3rd mode:
Scale 899
Scale 899, Ian Ring Music Theory
4th mode:
Scale 2497
Scale 2497, Ian Ring Music Theory
5th mode:
Scale 103
Scale 103, Ian Ring Music TheoryThis is the prime mode


The prime form of this scale is Scale 103

Scale 103Scale 103, Ian Ring Music Theory


The pentatonic modal family [2099, 3097, 899, 2497, 103] (Forte: 5-6) is the complement of the heptatonic modal family [415, 995, 2255, 2545, 3175, 3635, 3865] (Forte: 7-6)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2099 is 2435

Scale 2435Scale 2435: Raga Deshgaur, Ian Ring Music TheoryRaga Deshgaur


Only scales that are chiral will have an enantiomorph. Scale 2099 is chiral, and its enantiomorph is scale 2435

Scale 2435Scale 2435: Raga Deshgaur, Ian Ring Music TheoryRaga Deshgaur


T0 2099  T0I 2435
T1 103  T1I 775
T2 206  T2I 1550
T3 412  T3I 3100
T4 824  T4I 2105
T5 1648  T5I 115
T6 3296  T6I 230
T7 2497  T7I 460
T8 899  T8I 920
T9 1798  T9I 1840
T10 3596  T10I 3680
T11 3097  T11I 3265

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 2097Scale 2097, Ian Ring Music Theory
Scale 2101Scale 2101, Ian Ring Music Theory
Scale 2103Scale 2103, Ian Ring Music Theory
Scale 2107Scale 2107, Ian Ring Music Theory
Scale 2083Scale 2083, Ian Ring Music Theory
Scale 2091Scale 2091, Ian Ring Music Theory
Scale 2067Scale 2067, Ian Ring Music Theory
Scale 2131Scale 2131, Ian Ring Music Theory
Scale 2163Scale 2163, Ian Ring Music Theory
Scale 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
Scale 2355Scale 2355: Raga Lalita, Ian Ring Music TheoryRaga Lalita
Scale 2611Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
Scale 3123Scale 3123, Ian Ring Music Theory
Scale 51Scale 51, Ian Ring Music Theory
Scale 1075Scale 1075, 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.