--- In harmonic_entropy@yahoogroups.com, <vilaalbert@h...> wrote:
>>>> .........
> Looking forward to more, >>>>

Indeed, there is more.

Hello ALL, I request Paul and other Group members to test the veracity of the
eight audacious statements I am making below. Your remarks will be very
valuable.

RHE and Raga-s
==============

A raga is a non-stochastic arrangement of notes. The improvisation of a raga is
a process in which every future note to be performed depends not only on the
present note being performed, but also on how this present note was arrived at.

Inferences from the above statements:

(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.

(2) The greater the number of random ways in which we can combine the notes, the
greater is the raga's Harmonic Entropy.

(3) The greater the distance of the notes from the Sa (tonic), the greater is
the raga's Harmonic Entropy.

(4) The greater the specificity -- and consquent recognizability -- of a raga,
the lower its Harmonic Entropy. This is because, one recognizes a raga from (i)
the way and (ii) the order in which its constituent notes are ordered. This
reduces randomness. This is where the "jumps" I referred to in the previous
email, comes into play. These "jumps" lower the Harmonic Entropy of the raga.

(5) The longer one stays on a note, the lower the Harmonic Entropy gets. This
happens all the time, because the vadi and samvadi notes are stayed on longer --
even some other notes are stayed longer on, too, depending upon the requirements
of a raga. Similarly, vivadi (omitted) notes lower the Harmonic Entropy. At the
end of every alap (phrase), we come back to Sa (tonic), resulting in minimum
entropy.

(6) The greater the number of times a note is repeated, the lower the Harmonic
Entropy gets. As an example, Ga-Ga has a lower Harmonic Entropy than Ga-Pa.

(7) The greater the use of embellishments [ornaments like gamaka, meend
(glissando), murki etc.], the greater the Harmonic Entropy.

(8) The greater the use of vowels and consonants, the greater the Harmonic
Entropy. The vowel normally used is singing is 'aa'. Variations are achieved by
the use of 'ee', 'o', 'e' (as in "sEt"), and sometimes 'oo'. The use of
consonants implies using the words of the composition used during singing.

(9) The greater the correctness of the notes (as JI frequencies), the lower the
Harmonic Entropy.

As regards the math of Harmonic Entropy, I am acutely aware of my ignorance. But
I have depended heavily on my experience and intuition, and on the fact that I
can depend on the Harmonic Entropy pundits.

Regards, and thanks for your time,
Haresh.