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Scale 2645: "Raga Mruganandana"

Scale 2645: Raga Mruganandana, 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 Mruganandana
Zeitler
Zoptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,6,9,11}
Forte Number6-33
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1355
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes5
Prime?no
prime: 685
Deep Scaleno
Interval Vector143241
Interval Spectrump4m2n3s4dt
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Maximal Area Setno
Interior Area2.482
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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 TriadsD{2,6,9}221
Minor Triadsam{9,0,4}131.5
bm{11,2,6}131.5
Diminished Triadsf♯°{6,9,0}221
Parsimonious Voice Leading Between Common Triads of Scale 2645. Created by Ian Ring ©2019 D D f#° f#° D->f#° bm bm D->bm am am f#°->am

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.

Diameter3
Radius2
Self-Centeredno
Central VerticesD, f♯°
Peripheral Verticesam, bm

Modes

Modes are the rotational transformation of this scale. Scale 2645 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1685
Scale 1685: Zeracrimic, Ian Ring Music TheoryZeracrimic
3rd mode:
Scale 1445
Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari
4th mode:
Scale 1385
Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
5th mode:
Scale 685
Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha BangalaThis is the prime mode
6th mode:
Scale 1195
Scale 1195: Raga Gandharavam, Ian Ring Music TheoryRaga Gandharavam

Prime

The prime form of this scale is Scale 685

Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala

Complement

The hexatonic modal family [2645, 1685, 1445, 1385, 685, 1195] (Forte: 6-33) is the complement of the hexatonic modal family [685, 1195, 1385, 1445, 1685, 2645] (Forte: 6-33)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2645 is 1355

Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2645 is chiral, and its enantiomorph is scale 1355

Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani

Transformations:

T0 2645  T0I 1355
T1 1195  T1I 2710
T2 2390  T2I 1325
T3 685  T3I 2650
T4 1370  T4I 1205
T5 2740  T5I 2410
T6 1385  T6I 725
T7 2770  T7I 1450
T8 1445  T8I 2900
T9 2890  T9I 1705
T10 1685  T10I 3410
T11 3370  T11I 2725

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 2647Scale 2647: Dadian, Ian Ring Music TheoryDadian
Scale 2641Scale 2641: Raga Hindol, Ian Ring Music TheoryRaga Hindol
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 2677Scale 2677: Thodian, Ian Ring Music TheoryThodian
Scale 2581Scale 2581: Raga Neroshta, Ian Ring Music TheoryRaga Neroshta
Scale 2613Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
Scale 2709Scale 2709: Raga Kumud, Ian Ring Music TheoryRaga Kumud
Scale 2773Scale 2773: Lydian, Ian Ring Music TheoryLydian
Scale 2901Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
Scale 3669Scale 3669: Mothian, Ian Ring Music TheoryMothian
Scale 597Scale 597: Kung, Ian Ring Music TheoryKung
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus

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.