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Scale 941: "Mela Jhankaradhvani"

Scale 941: Mela Jhankaradhvani, 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 Jhankaradhvani
Carnatic Raga
Raga Jhankara Bhramavi
Zeitler
Phrorian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,5,7,8,9}
Forte Number7-29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1721
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 727
Deep Scaleno
Interval Vector344352
Interval Spectrump5m3n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
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}331.43
G♯{8,0,3}331.43
Minor Triadscm{0,3,7}142.14
dm{2,5,9}241.86
fm{5,8,0}321.29
Diminished Triads{2,5,8}231.71
{9,0,3}231.57
Parsimonious Voice Leading Between Common Triads of Scale 941. Created by Ian Ring ©2019 cm cm G# G# cm->G# dm dm d°->dm fm fm d°->fm F F dm->F fm->F fm->G# F->a° G#->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 Verticesfm
Peripheral Verticescm, dm

Modes

Modes are the rotational transformation of this scale. Scale 941 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1259
Scale 1259: Stadian, Ian Ring Music TheoryStadian
3rd mode:
Scale 2677
Scale 2677: Thodian, Ian Ring Music TheoryThodian
4th mode:
Scale 1693
Scale 1693: Dogian, Ian Ring Music TheoryDogian
5th mode:
Scale 1447
Scale 1447: Mela Ratnangi, Ian Ring Music TheoryMela Ratnangi
6th mode:
Scale 2771
Scale 2771: Marva That, Ian Ring Music TheoryMarva That
7th mode:
Scale 3433
Scale 3433: Thonian, Ian Ring Music TheoryThonian

Prime

The prime form of this scale is Scale 727

Scale 727Scale 727: Phradian, Ian Ring Music TheoryPhradian

Complement

The heptatonic modal family [941, 1259, 2677, 1693, 1447, 2771, 3433] (Forte: 7-29) is the complement of the pentatonic modal family [331, 709, 1201, 1577, 2213] (Forte: 5-29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 941 is 1721

Scale 1721Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 941 is chiral, and its enantiomorph is scale 1721

Scale 1721Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari

Transformations:

T0 941  T0I 1721
T1 1882  T1I 3442
T2 3764  T2I 2789
T3 3433  T3I 1483
T4 2771  T4I 2966
T5 1447  T5I 1837
T6 2894  T6I 3674
T7 1693  T7I 3253
T8 3386  T8I 2411
T9 2677  T9I 727
T10 1259  T10I 1454
T11 2518  T11I 2908

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 943Scale 943: Aerygyllic, Ian Ring Music TheoryAerygyllic
Scale 937Scale 937: Stothimic, Ian Ring Music TheoryStothimic
Scale 939Scale 939: Mela Senavati, Ian Ring Music TheoryMela Senavati
Scale 933Scale 933: Dadimic, Ian Ring Music TheoryDadimic
Scale 949Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
Scale 957Scale 957: Phronyllic, Ian Ring Music TheoryPhronyllic
Scale 909Scale 909: Katarimic, Ian Ring Music TheoryKatarimic
Scale 925Scale 925: Chromatic Hypodorian, Ian Ring Music TheoryChromatic Hypodorian
Scale 973Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
Scale 1005Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
Scale 813Scale 813: Larimic, Ian Ring Music TheoryLarimic
Scale 877Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala
Scale 429Scale 429: Koptimic, Ian Ring Music TheoryKoptimic
Scale 1453Scale 1453: Aeolian, Ian Ring Music TheoryAeolian
Scale 1965Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor

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.