Hello harmonic entropians! Please don't forget the URL for the AUDIBLE harmonic entropy tetrads on the Tuning Lab! ...
Joseph Pehrson
pehrson@...
Sep 27, 2000 5:54 pm
2
Well... I certainly hope this will be a "math intensive" list... and people won't necessarily be frightened by a little such acumen on this list! However, from...
Joseph Pehrson
pehrson@...
Sep 27, 2000 5:57 pm
3
Joseph, exp(log(x)) = x log(exp(x)) = x They undo one another....
Paul H. Erlich
PERLICH@...
Sep 27, 2000 5:58 pm
4
... wrote: http://www.egroups.com/message/harmonic_entropy/3 ... You know... believe it or not, that's coming back a little bit now! ___________ ___ __ _ ...
Joseph Pehrson
pehrson@...
Sep 27, 2000 6:57 pm
5
[Joseph Pehrson:] ... [Paul E:] ... Correct, but doesn't really explain the functions. Joe, I gave a stab at explaining logs and exponents at: ...
John A. deLaubenfels
jdl@...
Sep 27, 2000 7:12 pm
6
... <jdl@a...> wrote: http://www.egroups.com/message/harmonic_entropy/5 Thank you, John! Your earlier post is a terrific one and has a fantastically humorous...
Joseph Pehrson
pehrson@...
Sep 27, 2000 7:18 pm
7
... <jdl@a...> wrote: http://www.egroups.com/message/harmonic_entropy/5 John... you'll be happy to learn that I got my calculator to all the things you mention...
Joseph Pehrson
pehrson@...
Sep 27, 2000 7:37 pm
8
Joe, glad you enjoyed the opening scene of that page! We nerdy guys may never have had this happen, and may never HAVE it happen, but the fantasy never dies,...
John A. deLaubenfels
jdl@...
Sep 27, 2000 9:56 pm
9
... <jdl@a...> wrote: http://www.egroups.com/message/harmonic_entropy/8 ... of each other becomes obvious. Just going through the transform forward,backward....
Joseph Pehrson
josephpehrson@...
Sep 28, 2000 2:53 am
10
[I wrote:] ... [Joseph Pehrson:] ... Well... if you're walking down the keys on a piano, the ratios would be represented by: 2^(12/12) 2^(11/12) 2^(10/12) ...
John A. deLaubenfels
jdl@...
Sep 28, 2000 11:15 am
11
... <jdl@a...> ... Whoops... that's what I was looking for... ... no "log to base 2" button, but does allow a direct computation of the ... Oh, I see (I...
Joseph Pehrson
pehrson@...
Sep 28, 2000 3:28 pm
12
(moved from tuning@egroups.com) Carl wrote, ... That's the leap of faith I was talking about. What's the totient of the smaller number in the ratio?...
Paul H. Erlich
PERLICH@...
Sep 28, 2000 7:21 pm
13
The creation of this list has at least served its purpose. Beardsley's convinced that the main list's quietened down. Now I'll continue my quest to find out...
graham@...
Sep 28, 2000 8:39 pm
14
... assigning a ... of ... a bin, ... bin to ... Not exactly. It's not just how many ratios in a bin or under a Gaussian, it's how they're distributed. If one...
Paul H. Erlich
PERLICH@...
Sep 28, 2000 8:56 pm
15
... where log(x) is defined!! log(x) for x real is defined for x > 0. For x complex, IIRC, it's defined everywhere except on the negative real axis, and there...
znmeb@...
Sep 29, 2000 4:13 am
16
In-Reply-To: <CE80F17667E4D211AE530090274662729C545D@...> ... Any recommendations? I might be going past the central library tomorrow, so I'll...
graham@...
Sep 29, 2000 11:45 am
17
Graham Breed wrote, ... The only one I know of is _Elements of Information Theory_ by Thomas Cover and Joy Thomas. ... The one I use seems to make use of some...
Paul H. Erlich
PERLICH@...
Sep 29, 2000 4:55 pm
18
Paul, Maybe a good thing to do near the beginning of this new list is to cover the bare basics of Info Theory as they apply to Harmonic Entropy Theory. I...
David Finnamore
daeron@...
Sep 30, 2000 5:14 pm
19
Paul Erlich wrote, ... I don't remember you ever asking for a leap of faith... I suppose that phrase would make an good search... Anywho, I believe the...
Carl Lumma
CLUMMA@...
Sep 30, 2000 8:22 pm
20
... <jdl@a...> ... Believe it or not, I actually did impress a beautiful woman with tuning math the other day! Of course it is a lot easier in a mathematics...
John Starrett
jstarret@...
Oct 1, 2000 3:52 pm
21
(Oops!! Sent this first to the tuning list by mistake! Oh well, they'll figure it out...) [John Starrett:] ... You rogue! She loved it when you used the...
John A. deLaubenfels
jdl@...
Oct 1, 2000 5:26 pm
22
Hi! This is interesting stuff! I couldn't find a webpage by her, but the most recent notice about her is at: http://www.ece.uci.edu/colloquia/00w.html#Dabby ...
Allan Myhara
amyhara@...
Oct 1, 2000 6:59 pm
23
Hi John -- I was wondering if you could help in understanding your triangular tetrachord graphs. I would like to use the same thing for triads but of course...
Paul H. Erlich
PERLICH@...
Oct 1, 2000 8:17 pm
24
... it, "entropy" ... Yup! ... for ... From http://www.ixpres.com/interval/td/entropy.htm: [In a Farey or other series of fractions, representing dyads from...
Paul Erlich
PERLICH@...
Oct 1, 2000 8:23 pm
25
Disclaimer: these results are not personally endorsed by Bill yet . . . but the ranking that his program indicates for the tetrads is: most concordant 502...
Paul H. Erlich
PERLICH@...
Oct 1, 2000 9:47 pm
26
... Well... it is a very interesting article... but I only have time to do the last paragraph... but it 'sums up" the attitude of the writer: Im letzten...
Joseph Pehrson
pehrson@...
Oct 2, 2000 2:54 pm
27
Ed Borasky wrote, ... Hi Ed. Bill e-mailed me off-list to tell me that the "amplitudes" are in dB and not really amplitudes at all. The conversion from...
Paul H. Erlich
PERLICH@...
Oct 2, 2000 6:24 pm
28
Hi Bill. ... hmm . . . but the results will be very different depending on whether you normalize to "1" or to some other constant . . . and what about negative...
Paul H. Erlich
PERLICH@...
Oct 2, 2000 7:05 pm
29
... From: William Sethares [mailto:sethares@...] Sent: Monday, October 02, 2000 3:20 PM To: PErlich@... Cc:...
Paul H. Erlich
PERLICH@...
Oct 2, 2000 7:28 pm
30
... I assume you had a point in using 120-degree rather than 90-degree angles in your tetrachord plots, didn't you? The reasons I see are (a) symmetry, and (b)...
Having problems with message search?
Fill out this form to ensure your group is one of the first to be migrated to the new message search system.
