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Scale 1465: "Mela Ragavardhani"

Scale 1465: Mela Ragavardhani, 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 Ragavardhani
Carnatic Raga
Raga Cudamani
Zeitler
Aerathian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,4,5,7,8,10}
Forte Number7-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 949
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 695
Deep Scaleno
Interval Vector344451
Interval Spectrump5m4n4s4d3t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
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}321.29
D♯{3,7,10}241.86
G♯{8,0,3}231.57
Minor Triadscm{0,3,7}331.43
fm{5,8,0}142.14
Augmented TriadsC+{0,4,8}331.43
Diminished Triads{4,7,10}231.71
Parsimonious Voice Leading Between Common Triads of Scale 1465. Created by Ian Ring ©2019 cm cm C C cm->C D# D# cm->D# G# G# cm->G# C+ C+ C->C+ C->e° fm fm C+->fm C+->G# D#->e°

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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 VerticesC
Peripheral VerticesD♯, fm

Modes

Modes are the rotational transformation of this scale. Scale 1465 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 695
Scale 695: Sarian, Ian Ring Music TheorySarianThis is the prime mode
3rd mode:
Scale 2395
Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
4th mode:
Scale 3245
Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
5th mode:
Scale 1835
Scale 1835: Byptian, Ian Ring Music TheoryByptian
6th mode:
Scale 2965
Scale 2965: Darian, Ian Ring Music TheoryDarian
7th mode:
Scale 1765
Scale 1765: Lonian, Ian Ring Music TheoryLonian

Prime

The prime form of this scale is Scale 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Complement

The heptatonic modal family [1465, 695, 2395, 3245, 1835, 2965, 1765] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1465 is 949

Scale 949Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1465 is chiral, and its enantiomorph is scale 949

Scale 949Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani

Transformations:

T0 1465  T0I 949
T1 2930  T1I 1898
T2 1765  T2I 3796
T3 3530  T3I 3497
T4 2965  T4I 2899
T5 1835  T5I 1703
T6 3670  T6I 3406
T7 3245  T7I 2717
T8 2395  T8I 1339
T9 695  T9I 2678
T10 1390  T10I 1261
T11 2780  T11I 2522

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 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian
Scale 1469Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1433Scale 1433: Dynimic, Ian Ring Music TheoryDynimic
Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
Scale 1529Scale 1529: Kataryllic, Ian Ring Music TheoryKataryllic
Scale 1337Scale 1337: Epogimic, Ian Ring Music TheoryEpogimic
Scale 1401Scale 1401: Pagian, Ian Ring Music TheoryPagian
Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
Scale 1721Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari
Scale 1977Scale 1977: Dagyllic, Ian Ring Music TheoryDagyllic
Scale 441Scale 441: Thycrimic, Ian Ring Music TheoryThycrimic
Scale 953Scale 953: Mela Yagapriya, Ian Ring Music TheoryMela Yagapriya
Scale 2489Scale 2489: Mela Gangeyabhusani, Ian Ring Music TheoryMela Gangeyabhusani
Scale 3513Scale 3513: Dydyllic, Ian Ring Music TheoryDydyllic

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.