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Scale 2739: "Mela Suryakanta"

Scale 2739: Mela Suryakanta, 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 Mela
Mela Suryakanta
Mela Suryakantam
Hindustani
Bhairubahar That
Carnatic Raga
Raga Supradhipam
Unknown / Unsorted
Sowrashtram
Jaganmohini
Western Modern
Major-Melodic Phrygian
Exoticisms
Hungarian Romani Inverse
Zeitler
Zanian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,5,7,9,11}
Forte Number7-30
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2475
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 855
Deep Scaleno
Interval Vector343542
Interval Spectrump4m5n3s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {8,9,10}
<6> = {9,10,11}
Spectra Variation1.714
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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{0,4,7}331.43
F{5,9,0}231.71
A{9,1,4}331.43
Minor Triadsem{4,7,11}142.14
am{9,0,4}321.29
Augmented TriadsC♯+{1,5,9}241.86
Diminished Triadsc♯°{1,4,7}231.57
Parsimonious Voice Leading Between Common Triads of Scale 2739. Created by Ian Ring ©2019 C C c#° c#° C->c#° em em C->em am am C->am A A c#°->A C#+ C#+ F F C#+->F C#+->A F->am am->A

view full size

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.

Diameter4
Radius2
Self-Centeredno
Central Verticesam
Peripheral VerticesC♯+, em

Modes

Modes are the rotational transformation of this scale. Scale 2739 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3417
Scale 3417: Golian, Ian Ring Music TheoryGolian
3rd mode:
Scale 939
Scale 939: Mela Senavati, Ian Ring Music TheoryMela Senavati
4th mode:
Scale 2517
Scale 2517: Harmonic Lydian, Ian Ring Music TheoryHarmonic Lydian
5th mode:
Scale 1653
Scale 1653: Minor Romani Inverse, Ian Ring Music TheoryMinor Romani Inverse
6th mode:
Scale 1437
Scale 1437: Sabach ascending, Ian Ring Music TheorySabach ascending
7th mode:
Scale 1383
Scale 1383: Pynian, Ian Ring Music TheoryPynian

Prime

The prime form of this scale is Scale 855

Scale 855Scale 855: Porian, Ian Ring Music TheoryPorian

Complement

The heptatonic modal family [2739, 3417, 939, 2517, 1653, 1437, 1383] (Forte: 7-30) is the complement of the pentatonic modal family [339, 789, 1221, 1329, 2217] (Forte: 5-30)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2739 is 2475

Scale 2475Scale 2475: Neapolitan Minor, Ian Ring Music TheoryNeapolitan Minor

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2739 is chiral, and its enantiomorph is scale 2475

Scale 2475Scale 2475: Neapolitan Minor, Ian Ring Music TheoryNeapolitan Minor

Transformations:

T0 2739  T0I 2475
T1 1383  T1I 855
T2 2766  T2I 1710
T3 1437  T3I 3420
T4 2874  T4I 2745
T5 1653  T5I 1395
T6 3306  T6I 2790
T7 2517  T7I 1485
T8 939  T8I 2970
T9 1878  T9I 1845
T10 3756  T10I 3690
T11 3417  T11I 3285

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 2737Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata
Scale 2741Scale 2741: Major, Ian Ring Music TheoryMajor
Scale 2743Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic
Scale 2747Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2707Scale 2707: Banimic, Ian Ring Music TheoryBanimic
Scale 2771Scale 2771: Marva That, Ian Ring Music TheoryMarva That
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 2611Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
Scale 2675Scale 2675: Chromatic Lydian, Ian Ring Music TheoryChromatic Lydian
Scale 2867Scale 2867: Socrian, Ian Ring Music TheorySocrian
Scale 2995Scale 2995: Raga Saurashtra, Ian Ring Music TheoryRaga Saurashtra
Scale 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
Scale 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic
Scale 3251Scale 3251: Mela Hatakambari, Ian Ring Music TheoryMela Hatakambari
Scale 3763Scale 3763: Modyllic, Ian Ring Music TheoryModyllic
Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse

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.