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Scale 2759: "Mela Pavani"

Scale 2759: Mela Pavani, 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 Pavani
Carnatic Raga
Raga Kumbhini
Zeitler
Aeraphian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,6,7,9,11}
Forte Number7-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3179
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 431
Deep Scaleno
Interval Vector443352
Interval Spectrump5m3n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2759 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3427
Scale 3427: Zacrian, Ian Ring Music TheoryZacrian
3rd mode:
Scale 3761
Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
4th mode:
Scale 491
Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
5th mode:
Scale 2293
Scale 2293: Gorian, Ian Ring Music TheoryGorian
6th mode:
Scale 1597
Scale 1597: Aeolodian, Ian Ring Music TheoryAeolodian
7th mode:
Scale 1423
Scale 1423: Doptian, Ian Ring Music TheoryDoptian

Prime

The prime form of this scale is Scale 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Complement

The heptatonic modal family [2759, 3427, 3761, 491, 2293, 1597, 1423] (Forte: 7-14) is the complement of the pentatonic modal family [167, 901, 1249, 2131, 3113] (Forte: 5-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2759 is 3179

Scale 3179Scale 3179: Daptian, Ian Ring Music TheoryDaptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2759 is chiral, and its enantiomorph is scale 3179

Scale 3179Scale 3179: Daptian, Ian Ring Music TheoryDaptian

Transformations:

T0 2759  T0I 3179
T1 1423  T1I 2263
T2 2846  T2I 431
T3 1597  T3I 862
T4 3194  T4I 1724
T5 2293  T5I 3448
T6 491  T6I 2801
T7 982  T7I 1507
T8 1964  T8I 3014
T9 3928  T9I 1933
T10 3761  T10I 3866
T11 3427  T11I 3637

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 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 2755Scale 2755, Ian Ring Music Theory
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 2767Scale 2767: Katydyllic, Ian Ring Music TheoryKatydyllic
Scale 2775Scale 2775: Godyllic, Ian Ring Music TheoryGodyllic
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 2695Scale 2695, Ian Ring Music Theory
Scale 2727Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
Scale 2631Scale 2631: Macrimic, Ian Ring Music TheoryMacrimic
Scale 2887Scale 2887: Gaptian, Ian Ring Music TheoryGaptian
Scale 3015Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic
Scale 2247Scale 2247: Raga Vijayasri, Ian Ring Music TheoryRaga Vijayasri
Scale 2503Scale 2503: Mela Jhalavarali, Ian Ring Music TheoryMela Jhalavarali
Scale 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
Scale 3783Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
Scale 711Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti
Scale 1735Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam

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.