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Scale 3253: "Mela Naganandini"

Scale 3253: Mela Naganandini, 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 Naganandini
Carnatic Raga
Raga Nagabharanam
Unknown / Unsorted
Samanta
Zeitler
Gonian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,7,10,11}
Forte Number7-29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1447
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

Modes

Modes are the rotational transformation of this scale. Scale 3253 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1837
Scale 1837: Dalian, Ian Ring Music TheoryDalian
3rd mode:
Scale 1483
Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya
4th mode:
Scale 2789
Scale 2789: Zolian, Ian Ring Music TheoryZolian
5th mode:
Scale 1721
Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari
6th mode:
Scale 727
Scale 727: Phradian, Ian Ring Music TheoryPhradianThis is the prime mode
7th mode:
Scale 2411
Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian

Prime

The prime form of this scale is Scale 727

Scale 727Scale 727: Phradian, Ian Ring Music TheoryPhradian

Complement

The heptatonic modal family [3253, 1837, 1483, 2789, 1721, 727, 2411] (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 3253 is 1447

Scale 1447Scale 1447: Mela Ratnangi, Ian Ring Music TheoryMela Ratnangi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3253 is chiral, and its enantiomorph is scale 1447

Scale 1447Scale 1447: Mela Ratnangi, Ian Ring Music TheoryMela Ratnangi

Transformations:

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

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 3255Scale 3255: Daryllic, Ian Ring Music TheoryDaryllic
Scale 3249Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
Scale 3251Scale 3251: Mela Hatakambari, Ian Ring Music TheoryMela Hatakambari
Scale 3257Scale 3257: Mela Calanata, Ian Ring Music TheoryMela Calanata
Scale 3261Scale 3261: Dodyllic, Ian Ring Music TheoryDodyllic
Scale 3237Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3189Scale 3189: Aeolonian, Ian Ring Music TheoryAeolonian
Scale 3381Scale 3381: Katanian, Ian Ring Music TheoryKatanian
Scale 3509Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
Scale 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2741Scale 2741: Major, Ian Ring Music TheoryMajor
Scale 1205Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji

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.