Carnatic
Culture

GRAHABEDAM AND SYMMETRIES

 
Using this notation, Grahabeda is very easy to handle. One simply moves digits from one end of the number to the other. In the example just considered, Sankaraabharanam is represented by [101011010101]. To move the sruthi to Ri, we make the digit corresponding to Ri as thefirst digit to get [1011010101]. The two digits which were removed are moved over to the right end to obtain [101101010110]. This can be easily verified to represent Kharaharapriya. This ability of a raga to generate other ragas through Grahabedam is denoted by the term Murchanaakara. The absence of this characteristic is termed Amurchanaakara. In light of the above example, Dheeraankaraabharanam and Kharaharapriya are Murchanaakara ragas. Sometimes, the process of grahabedam on a ragam leads to non-existent scales. For example, if we take the Ni of Sankarabharanam as the base swara, we get [110101101010]. This scale has two Madhyamas and no Panchamam and such a scale is not allowable under the current melakarta scheme. Evidently, for a raga to be Amurchanaakara, all the grahabeda derived scales of it should be somewhat like this. Jhaalavaraali (39) is an example of a melakarta which is an Amurchanaakara ragam.

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About Grahabedam and Symmetries
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