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RE: Indian music (Paul E)

🔗Manuel.Op.de.Coul@ezh.nl (Manuel Op de Coul)

3/25/1997 1:43:39 PM
From: PAULE to John Clough

Are you the Clough who co-wrote with Rowell the article on early Indian
scales and recent diatonic theory in _Music Theory Spectrum_? The article
showed that "second-order-maximal-evenness," along with one other property,
was sufficient to define the four rotationally distinct gramas of early
Indian theory. Well, I accidentally discovered that a slightly different
(but no more complex) definition of second-order-maximal-evenness is
sufficient to give you the gramas without invoking any additional
properties. If you are interested, I will discuss this definition.

Incidentally, I believe the gramas resulted from tuning pure thirds and
fifths, which were then reckoned in terms of 22 degrees, which can be
explained in many ways. I don't find plausible the argument that the 22
degrees were a "universe" from which the scales were chosen. Nonetheless, if
one goes down that path, there is an easier derivation of the gramas than
that in your paper.

-Paul E.

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