Carnatic
Culture

GRAHABEDAM AND SYMMETRIES

 
Dhaivatham becomes Pa, Kakali Nishadam becomes Chatusruthi Dhaivatham, Sa becomes Kaisika Nishadam. Consulting the melakarta tables, we see that the new swaras correspond to the 22nd melakarta Kharaharapriya (Veda - Bhu). Thus, moving the sruthi to the swara Ri of Sankaraabharanam results in Kharaharapriya. It should be remembered that the absolute pitch of the swaras continue to be the same; it is only because of the shifting of the origin of the scale (the Sa) that a different raga is produced. Evidently, one can carry out the process for janya ragas also.

Consider a notation system for the swara and swara sthanas as follows. Let us represent the swara sthanas by a string of 12 digits, each one corresponding to the twelve swara sthanas into which an octave is divided. The presence of a swara sthana is denoted by a one in the corresponding digit and the absence by a zero. Thus, in the above example of Sankaraabharanam, the representation would be [101011010101]. The first 1 corresponds to Sa; the next swara sthana corresponds to Suddha Rishabam which does not occur in Sankaraabharanam and thus the corresponding digit is 0. The third digit is for Chatusruthi Rishabam and Suddha Gandharam. Since Chatusruthi Rishabam occurs in our example, the third digit is set to 1.

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About Grahabedam and Symmetries
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