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Scale 307: "Raga Megharanjani"

Scale 307: Raga Megharanjani, 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

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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 Megharanjani
Exoticisms
Syrian Pentatonic
Zeitler
Phrolitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,4,5,8}
Forte Number5-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2449
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?yes
Deep Scaleno
Interval Vector202420
Interval Spectrump2m4n2d2
Distribution Spectra<1> = {1,3,4}
<2> = {4,5,7}
<3> = {5,7,8}
<4> = {8,9,11}
Spectra Variation2.4
Maximally Evenno
Maximal Area Setno
Interior Area1.933
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♯{1,5,8}221
Minor Triadsc♯m{1,4,8}221
fm{5,8,0}221
Augmented TriadsC+{0,4,8}221
Parsimonious Voice Leading Between Common Triads of Scale 307. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m fm fm C+->fm C# C# c#m->C# C#->fm

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 307 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2201
Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic
3rd mode:
Scale 787
Scale 787: Aeolapritonic, Ian Ring Music TheoryAeolapritonic
4th mode:
Scale 2441
Scale 2441: Kyritonic, Ian Ring Music TheoryKyritonic
5th mode:
Scale 817
Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic

Prime

This is the prime form of this scale.

Complement

The pentatonic modal family [307, 2201, 787, 2441, 817] (Forte: 5-21) is the complement of the heptatonic modal family [823, 883, 1843, 2459, 2489, 2969, 3277] (Forte: 7-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 307 is 2449

Scale 2449Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 307 is chiral, and its enantiomorph is scale 2449

Scale 2449Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic

Transformations:

T0 307  T0I 2449
T1 614  T1I 803
T2 1228  T2I 1606
T3 2456  T3I 3212
T4 817  T4I 2329
T5 1634  T5I 563
T6 3268  T6I 1126
T7 2441  T7I 2252
T8 787  T8I 409
T9 1574  T9I 818
T10 3148  T10I 1636
T11 2201  T11I 3272

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 305Scale 305: Gonic, Ian Ring Music TheoryGonic
Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic
Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic
Scale 291Scale 291: Raga Lavangi, Ian Ring Music TheoryRaga Lavangi
Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini
Scale 275Scale 275: Dalic, Ian Ring Music TheoryDalic
Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic
Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic
Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
Scale 51Scale 51, Ian Ring Music Theory
Scale 179Scale 179, Ian Ring Music Theory
Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
Scale 819Scale 819: Augmented Inverse, Ian Ring Music TheoryAugmented Inverse
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 2355Scale 2355: Raga Lalita, Ian Ring Music TheoryRaga Lalita

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.