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Scale 1721: "Mela Vagadhisvari"

Scale 1721: Mela Vagadhisvari, 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 Vagadhisvari
Carnatic Raga
Raga Bhogachayanata
Unknown / Unsorted
Nandkauns
Ganavaridhi
Chayanata
Jazz and Blues
Bluesy Rock 'n Roll
Zeitler
Ionycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,4,5,7,9,10}
Forte Number7-29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 941
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1721 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 727
Scale 727: Phradian, Ian Ring Music TheoryPhradianThis is the prime mode
3rd mode:
Scale 2411
Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian
4th mode:
Scale 3253
Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
5th mode:
Scale 1837
Scale 1837: Dalian, Ian Ring Music TheoryDalian
6th mode:
Scale 1483
Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya
7th mode:
Scale 2789
Scale 2789: Zolian, Ian Ring Music TheoryZolian

Prime

The prime form of this scale is Scale 727

Scale 727Scale 727: Phradian, Ian Ring Music TheoryPhradian

Complement

The heptatonic modal family [1721, 727, 2411, 3253, 1837, 1483, 2789] (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 1721 is 941

Scale 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani

Enantiomorph

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

Scale 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani

Transformations:

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

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 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas
Scale 1717Scale 1717: Mixolydian, Ian Ring Music TheoryMixolydian
Scale 1705Scale 1705: Raga Manohari, Ian Ring Music TheoryRaga Manohari
Scale 1689Scale 1689: Lorimic, Ian Ring Music TheoryLorimic
Scale 1753Scale 1753: Hungarian Major, Ian Ring Music TheoryHungarian Major
Scale 1785Scale 1785: Tharyllic, Ian Ring Music TheoryTharyllic
Scale 1593Scale 1593: Zogimic, Ian Ring Music TheoryZogimic
Scale 1657Scale 1657: Ionothian, Ian Ring Music TheoryIonothian
Scale 1849Scale 1849: Chromatic Hypodorian Inverse, Ian Ring Music TheoryChromatic Hypodorian Inverse
Scale 1977Scale 1977: Dagyllic, Ian Ring Music TheoryDagyllic
Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
Scale 1465Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani
Scale 697Scale 697: Lagimic, Ian Ring Music TheoryLagimic
Scale 2745Scale 2745: Mela Sulini, Ian Ring Music TheoryMela Sulini
Scale 3769Scale 3769: Eponyllic, Ian Ring Music TheoryEponyllic

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.