--- In harmonic_entropy@yahoogroups.com, "Haresh BAKSHI"
<hareshbakshi@h...> wrote:
> --- 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.

Well, from 4 to 5 for example, it seems you'd be lowering the
harmonic entropy against a drone note at C4, but at the same time
you'd be raising it against a drone note at G3. It's not completely
clear how harmonic entropy values add but I don't think that's the
thrust of your question anyway. Please let me know what I have left
to be desired.

> 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).

OK. I will try to address your set of questions now . . .