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Scale 3275: "Mela Divyamani"

Scale 3275: Mela Divyamani, 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 Divyamani
Zeitler
Katadian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,6,7,10,11}
Forte Number7-Z18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2663
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 755
Deep Scaleno
Interval Vector434442
Interval Spectrump4m4n4s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3275 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3685
Scale 3685: Kodian, Ian Ring Music TheoryKodian
3rd mode:
Scale 1945
Scale 1945: Zarian, Ian Ring Music TheoryZarian
4th mode:
Scale 755
Scale 755: Phrythian, Ian Ring Music TheoryPhrythianThis is the prime mode
5th mode:
Scale 2425
Scale 2425: Rorian, Ian Ring Music TheoryRorian
6th mode:
Scale 815
Scale 815: Bolian, Ian Ring Music TheoryBolian
7th mode:
Scale 2455
Scale 2455: Bothian, Ian Ring Music TheoryBothian

Prime

The prime form of this scale is Scale 755

Scale 755Scale 755: Phrythian, Ian Ring Music TheoryPhrythian

Complement

The heptatonic modal family [3275, 3685, 1945, 755, 2425, 815, 2455] (Forte: 7-Z18) is the complement of the pentatonic modal family [179, 779, 1633, 2137, 2437] (Forte: 5-Z18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3275 is 2663

Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3275 is chiral, and its enantiomorph is scale 2663

Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian

Transformations:

T0 3275  T0I 2663
T1 2455  T1I 1231
T2 815  T2I 2462
T3 1630  T3I 829
T4 3260  T4I 1658
T5 2425  T5I 3316
T6 755  T6I 2537
T7 1510  T7I 979
T8 3020  T8I 1958
T9 1945  T9I 3916
T10 3890  T10I 3737
T11 3685  T11I 3379

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 3273Scale 3273: Raga Jivantini, Ian Ring Music TheoryRaga Jivantini
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3279Scale 3279: Pythyllic, Ian Ring Music TheoryPythyllic
Scale 3267Scale 3267, Ian Ring Music Theory
Scale 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
Scale 3283Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
Scale 3291Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic
Scale 3307Scale 3307: Boptyllic, Ian Ring Music TheoryBoptyllic
Scale 3211Scale 3211: Epacrimic, Ian Ring Music TheoryEpacrimic
Scale 3243Scale 3243: Mela Rupavati, Ian Ring Music TheoryMela Rupavati
Scale 3147Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic
Scale 3403Scale 3403: Bylian, Ian Ring Music TheoryBylian
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 1227Scale 1227: Thacrimic, Ian Ring Music TheoryThacrimic

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.