| Carnatic |
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GRAHABEDAM
AND SYMMETRIES
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the 1st melakarta, Kanakaangi (Indu - Pa). It is represented by the
sequence [111001011100(1)]. Note the symmetry
between the lower and upper portions of the structure due
to the repeating sequence 111001.This is an example of a class of
symmetry, where the lower and upper portions (not exactly the
purvangam and uttarangam, but close) of a raga
have a similar structure. This characteristic is possessed by the
following melakartas: Hanumathodi (Netra -
Sri), Maayaamaalavagowla (Agni - Go), Kharaharapriya (Veda - Bhu),
Dheerasankaraabharanam (Bana - Ma) and Chalanaata (Ruthu - Sha).The
sixth melakarta
Thaanaroopi (Indu - Sha) is denoted by the string [111001010011(1)].
The lower portion of this
111001 is the same as the upper portion 100111 written backwards. This
means that the swara steps in the lower portion of the raga in the
arohanam are similar to the
swara steps in the upper portion in the avarohanam, or these ragas
employ a similar swara step
structure in the arohanam and avarohanam. This is another type of
symmetry and the melakartas
which possess this property are Thaanaroopi (Indu - Sha),
Kokilapriya (Netra - Ma),
Maayaamaalavagowla (Agni - Go), Kharaharapriya (Veda - Bhu),
Chaarukesi (Bana - Sri) and
Yaagapriya (Ruthu - Pa). |
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Grahabedam and Symmetries |
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