--- In harmonic_entropy@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:
..............

Hello Paul, thank you very much for your considered views on so many questions.
While I mull over your responses, I have the following to add:

>>>> (1) the larger the number of notes in a raga, the greater is its
> >Harmonic Entropy. Obviously, it follows that vivadi (omitted) notes
> >lower the Harmonic Entropy.
>>
> One could of course concoct a 'raga' with fewer notes that had a
> larger average-over-time harmonic entropy than a 'raga' with more
> notes, but I'm not sure if these could ever both be true Indian
> ragas.
> One would have to study a very wide range of examples to have some
> degree of certainty. >>>>

Does not the statement (i) account for the pentatonic raga-s, for example, being
so powerfully stable and dominant from "times immemorial", in all kinds of
music?

>>>> (3) The greater the distance of the notes from the Sa (tonic), the greater
is the raga's Harmonic Entropy.
>>
> Are you speaking of linear pitch-distance? If so, this assertion
> would appear to be incorrect, unless backed up by some rather
> extraordinary evidence. On the face of it, I don't see how it could
> be correct. >>>>

If I read the graph correctly, for example, the Pa closer to Sa has much lower
Harmonic Entropy than the Pa of the higher octave, farther away and right.

>>>> (8) The greater the use of vowels and consonants, the greater the
> >Harmonic Entropy.
>>
> greater . . . compared with what? >>>>

greater than it would be if the alap was rendered only in "aa...", without the
use of other vowels and consonants.

Regards,
Haresh.