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Scale 1739: "Mela Sadvidhamargini"

Scale 1739: Mela Sadvidhamargini, 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 Sadvidhamargini
Carnatic Raga
Raga Sthavarajam
Unknown / Unsorted
Tivravahini
Zeitler
Phrylian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,6,7,9,10}
Forte Number7-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2669
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes6
Prime?no
prime: 731
Deep Scaleno
Interval Vector336333
Interval Spectrump3m3n6s3d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9}
<6> = {9,10,11}
Spectra Variation1.714
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 1739 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2917
Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
3rd mode:
Scale 1753
Scale 1753: Hungarian Major, Ian Ring Music TheoryHungarian Major
4th mode:
Scale 731
Scale 731: Ionorian, Ian Ring Music TheoryIonorianThis is the prime mode
5th mode:
Scale 2413
Scale 2413: Locrian Natural 2, Ian Ring Music TheoryLocrian Natural 2
6th mode:
Scale 1627
Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
7th mode:
Scale 2861
Scale 2861: Katothian, Ian Ring Music TheoryKatothian

Prime

The prime form of this scale is Scale 731

Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian

Complement

The heptatonic modal family [1739, 2917, 1753, 731, 2413, 1627, 2861] (Forte: 7-31) is the complement of the pentatonic modal family [587, 601, 713, 1609, 2341] (Forte: 5-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1739 is 2669

Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1739 is chiral, and its enantiomorph is scale 2669

Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode

Transformations:

T0 1739  T0I 2669
T1 3478  T1I 1243
T2 2861  T2I 2486
T3 1627  T3I 877
T4 3254  T4I 1754
T5 2413  T5I 3508
T6 731  T6I 2921
T7 1462  T7I 1747
T8 2924  T8I 3494
T9 1753  T9I 2893
T10 3506  T10I 1691
T11 2917  T11I 3382

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 1737Scale 1737: Raga Madhukauns, Ian Ring Music TheoryRaga Madhukauns
Scale 1741Scale 1741: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 1743Scale 1743: Epigyllic, Ian Ring Music TheoryEpigyllic
Scale 1731Scale 1731, Ian Ring Music Theory
Scale 1735Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
Scale 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
Scale 1755Scale 1755: Octatonic, Ian Ring Music TheoryOctatonic
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 1675Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
Scale 1707Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1867Scale 1867: Solian, Ian Ring Music TheorySolian
Scale 1995Scale 1995: Aeolacryllic, Ian Ring Music TheoryAeolacryllic
Scale 1227Scale 1227: Thacrimic, Ian Ring Music TheoryThacrimic
Scale 1483Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya
Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic

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.