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Scale 2727: "Mela Manavati"

Scale 2727: Mela Manavati, 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 Mela
Mela Manavati
Carnatic Raga
Raga Manoranjani
Zeitler
Pylian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,5,7,9,11}
Forte Number7-24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3243
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 687
Deep Scaleno
Interval Vector353442
Interval Spectrump4m4n3s5d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
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 TriadsF{5,9,0}142
G{7,11,2}142
Minor Triadsdm{2,5,9}221.2
Augmented TriadsC♯+{1,5,9}231.4
Diminished Triads{11,2,5}231.4
Parsimonious Voice Leading Between Common Triads of Scale 2727. Created by Ian Ring ©2019 C#+ C#+ dm dm C#+->dm F F C#+->F dm->b° Parsimonious Voice Leading Between Common Triads of Scale 2727. Created by Ian Ring ©2019 G G->b°

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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 Verticesdm
Peripheral VerticesF, G

Modes

Modes are the rotational transformation of this scale. Scale 2727 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3411
Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
3rd mode:
Scale 3753
Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
4th mode:
Scale 981
Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
5th mode:
Scale 1269
Scale 1269: Katythian, Ian Ring Music TheoryKatythian
6th mode:
Scale 1341
Scale 1341: Madian, Ian Ring Music TheoryMadian
7th mode:
Scale 1359
Scale 1359: Aerygian, Ian Ring Music TheoryAerygian

Prime

The prime form of this scale is Scale 687

Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian

Complement

The heptatonic modal family [2727, 3411, 3753, 981, 1269, 1341, 1359] (Forte: 7-24) is the complement of the pentatonic modal family [171, 1377, 1413, 1557, 2133] (Forte: 5-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2727 is 3243

Scale 3243Scale 3243: Mela Rupavati, Ian Ring Music TheoryMela Rupavati

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2727 is chiral, and its enantiomorph is scale 3243

Scale 3243Scale 3243: Mela Rupavati, Ian Ring Music TheoryMela Rupavati

Transformations:

T0 2727  T0I 3243
T1 1359  T1I 2391
T2 2718  T2I 687
T3 1341  T3I 1374
T4 2682  T4I 2748
T5 1269  T5I 1401
T6 2538  T6I 2802
T7 981  T7I 1509
T8 1962  T8I 3018
T9 3924  T9I 1941
T10 3753  T10I 3882
T11 3411  T11I 3669

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 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2735Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
Scale 2743Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic
Scale 2695Scale 2695, Ian Ring Music Theory
Scale 2711Scale 2711: Stolian, Ian Ring Music TheoryStolian
Scale 2759Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 2599Scale 2599: Malimic, Ian Ring Music TheoryMalimic
Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian
Scale 2855Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
Scale 2983Scale 2983: Zythyllic, Ian Ring Music TheoryZythyllic
Scale 2215Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
Scale 2471Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti
Scale 3239Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
Scale 3751Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
Scale 679Scale 679: Lanimic, Ian Ring Music TheoryLanimic
Scale 1703Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati

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. Special thanks to Richard Repp for helping with technical accuracy.