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

......................

Hi Paul, I re-read your reply carefully. The questions you have
raised arose, I believe, because *my* questions were not very clear.
You have answered those, making certain assumptions which made my
questions clear. Except the seventh:

>>>> (vii) The various "jumps" using which a raga is imporvised.
They should all appear above (?) >>>>

Perhaps those jumps I referred to do not appear above. As an example
of "jumps", let me take up the raga Kedar. It is highly non-linear,
and its alap typically goes like: [assuming C to be the Sa]
C4 F (E)G, G C5 A Bb A G, F C4 D C4.
1 2 3 4 5 6 7 8 9 10 11 12 13 (notes numbered for clarity)

Notice the jumps between each of 1 and 2, 4 and 5, 5 and 6, 10 and 11.
I am trying to know if such jumps lower the value of Harmonic Entropy.
Two reasons: (i) such jumps reduce the number of notes [in absence of
such jumps, like the jump 1 to 2 in the above example, the number of
notes would have gone up from two (C4 and F) to four (C4 D E F)];
(ii) such jumps usually, though not necessarily, reduce the magnitude
of Harmonic Entropy because they add consonance (C to F is 3:4).

In the case of (i) above, I have assumed that Harmonic Entropy
increases with increase in the number of notes. Why? Because, instead
of the consonance (C4-F) only, we now would have roughness added by
the added notes D and E (C4-D, C4-E).

Let me know if you want me to re-read message #698 for more/other reasons.

Regards,
Haresh.