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Scale 2471: "Mela Ganamurti"

Scale 2471: Mela Ganamurti, 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 Ganamurti
Carnatic Raga
Raga Ganasamavarali
Zeitler
Eparian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,5,7,8,11}
Forte Number7-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3251
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 719
Deep Scaleno
Interval Vector434343
Interval Spectrump4m3n4s3d4t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,5,6}
<4> = {6,7,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.433
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♯{1,5,8}231.71
G{7,11,2}231.71
Minor Triadsfm{5,8,0}231.71
Diminished Triads{2,5,8}231.71
{5,8,11}231.71
g♯°{8,11,2}231.71
{11,2,5}231.71
Parsimonious Voice Leading Between Common Triads of Scale 2471. Created by Ian Ring ©2019 C# C# C#->d° fm fm C#->fm d°->b° f°->fm g#° g#° f°->g#° Parsimonious Voice Leading Between Common Triads of Scale 2471. Created by Ian Ring ©2019 G G->g#° G->b°

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
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2471 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3283
Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
3rd mode:
Scale 3689
Scale 3689: Katocrian, Ian Ring Music TheoryKatocrian
4th mode:
Scale 973
Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
5th mode:
Scale 1267
Scale 1267: Katynian, Ian Ring Music TheoryKatynian
6th mode:
Scale 2681
Scale 2681: Aerycrian, Ian Ring Music TheoryAerycrian
7th mode:
Scale 847
Scale 847: Ganian, Ian Ring Music TheoryGanian

Prime

The prime form of this scale is Scale 719

Scale 719Scale 719: Kanian, Ian Ring Music TheoryKanian

Complement

The heptatonic modal family [2471, 3283, 3689, 973, 1267, 2681, 847] (Forte: 7-19) is the complement of the pentatonic modal family [203, 707, 1561, 2149, 2401] (Forte: 5-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2471 is 3251

Scale 3251Scale 3251: Mela Hatakambari, Ian Ring Music TheoryMela Hatakambari

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2471 is chiral, and its enantiomorph is scale 3251

Scale 3251Scale 3251: Mela Hatakambari, Ian Ring Music TheoryMela Hatakambari

Transformations:

T0 2471  T0I 3251
T1 847  T1I 2407
T2 1694  T2I 719
T3 3388  T3I 1438
T4 2681  T4I 2876
T5 1267  T5I 1657
T6 2534  T6I 3314
T7 973  T7I 2533
T8 1946  T8I 971
T9 3892  T9I 1942
T10 3689  T10I 3884
T11 3283  T11I 3673

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 2469Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
Scale 2467Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi
Scale 2475Scale 2475: Neapolitan Minor, Ian Ring Music TheoryNeapolitan Minor
Scale 2479Scale 2479: Harmonic and Neapolitan Minor Mixed, Ian Ring Music TheoryHarmonic and Neapolitan Minor Mixed
Scale 2487Scale 2487: Dothyllic, Ian Ring Music TheoryDothyllic
Scale 2439Scale 2439, Ian Ring Music Theory
Scale 2455Scale 2455: Bothian, Ian Ring Music TheoryBothian
Scale 2503Scale 2503: Mela Jhalavarali, Ian Ring Music TheoryMela Jhalavarali
Scale 2535Scale 2535: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 2343Scale 2343: Tharimic, Ian Ring Music TheoryTharimic
Scale 2407Scale 2407: Zylian, Ian Ring Music TheoryZylian
Scale 2215Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
Scale 2727Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
Scale 2983Scale 2983: Zythyllic, Ian Ring Music TheoryZythyllic
Scale 3495Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic
Scale 1447Scale 1447: Mela Ratnangi, Ian Ring Music TheoryMela Ratnangi

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.