Hi Bob Helsloot. Looks like you assumed (on the Music Theory list) 11:12 for the minor second. 11:12 is actually halfway between a minor second and a major...
Paul H. Erlich
PERLICH@...
Mar 8, 2001 12:32 am
366
... Thanks, Paul! This printed out just great! Joseph...
jpehrson@...
Mar 8, 2001 10:04 pm
367
Hello all. It appears that John Starrett has put up the various minor triads I created for a listening experiment for Gerald Eskelin some time ago up at ...
Paul H. Erlich
PERLICH@...
Mar 8, 2001 11:53 pm
368
... http://groups.yahoo.com/group/harmonic_entropy/message/367 ... created ... minor triads and post your impressions. ... For some reason, Paul, the above...
jpehrson@...
Mar 9, 2001 4:56 am
369
... Oh, goody. I love these listening experiments. "Impressions"? Would there be danger of biasing us to be any more specific than that about what sort of...
David J. Finnamore
daeron@...
Mar 9, 2001 3:58 pm
370
David Finnamore wrote, ... Any sort of comments whatsoever!...
Paul H. Erlich
PERLICH@...
Mar 9, 2001 8:17 pm
371
Whoops -- it looks like the underlying .wav files are gone! Sorry! ... From: jpehrson@... [mailto:jpehrson@...] Sent: Thursday, March 08, 2001 11:57 PM...
Paul H. Erlich
PERLICH@...
Mar 9, 2001 8:53 pm
372
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the harmonic_entropy group. File :...
harmonic_entropy@yaho...
Mar 12, 2001 4:31 am
373
Hi Daniel -- e-mail 1 never came through, but thanks. (H.E. List: this concerns some e-mails forwarded to me from Daniel Wolf, containing conversations with...
Paul H. Erlich
PERLICH@...
Mar 13, 2001 4:06 am
374
. . . this doesn't mean that even more complex ratios can't be recognized and tuned by ear, by eliminaiting beating. I've tuned 17/13 by ear by eliminating...
Paul H. Erlich
PERLICH@...
Mar 13, 2001 4:08 am
375
... Very impressive, Paul! It's so detailed! I never noticed before (until you stuck it in my face) how the ratios line up almost in layers. Do you have to...
David J. Finnamore
daeron@...
Mar 13, 2001 7:54 am
376
... http://groups.yahoo.com/group/harmonic_entropy/files/dyadic/partch.bmp ... (until you stuck it in my face) how the ratios line up ... do. :-) ...
PERLICH@...
Mar 13, 2001 5:50 pm
377
I wrote, ... dyadic harmonic >entropy calculation remains essentially unchanged within that range, since only ratios in and >immediately bordering that range...
Paul H. Erlich
PERLICH@...
Mar 13, 2001 7:30 pm
378
... Sure enough - at steeper angles for lower numbers and shallower angles for higher numbers. -- David J. Finnamore Nashville, TN, USA ...
David J. Finnamore
daeron@...
Mar 15, 2001 3:24 am
379
But can you see what exactly lines up? A set of fractions falls on a straight line if . . . ... From: David J. Finnamore [mailto:daeron@...] Sent:...
Paul H. Erlich
PERLICH@...
Mar 15, 2001 8:04 pm
380
... The same amount gets added to (or subtracted from the other direction) both the numerator and denominator?...
daeron@...
Mar 23, 2001 7:58 pm
381
Well, that's one set of lines, but there's plenty more . . . unless what you meant was, "there are two integer constants a and b, and if you keep adding a to...
Paul H. Erlich
PERLICH@...
Mar 23, 2001 8:03 pm
382
... what you ... keep adding ... fractions ... been only ... I was. No extra credit points this time. Do they line up as a by- product of the formula you're...
daeron@...
Mar 24, 2001 12:14 am
383
The fact that they line up really surprised me -- in fact this would be a great way to diagram the various ratios apart from any harmonic entropy ...
... Helaman Ferguson ... << Ferguson is exactly that abstract artist who fully possesses and has cultivated his ability to express his mathematical conceptions...
Pierre Lamothe
plamothe@...
May 1, 2001 8:12 am
386
... Description of PSLQ ... Proceedings of the Organic Mathematics Workshop Recognizing Numerical Constants David H. Bailey and Simon Plouffe The PSLQ Integer...
Pierre Lamothe
plamothe@...
May 1, 2001 8:13 am
387
The kind of two-dimensional generalization of the Farey series we're interested for calculating the harmonic entropy of triads is discussed in ...
PERLICH@...
May 5, 2001 7:46 am
388
... Great! How'd you find it? So triads will be represented as points on the coordinate plane? Assuming yes... ... Both coordinates for each point in ^F_n...
Carl Lumma
carl@...
May 9, 2001 1:30 am
389
I only included "Eureka part I" because I'm waiting for Paul and other mathematically inclined list members to decode that paper for me. As members of the...
Robert C Valentine
BVAL@...
May 9, 2001 7:56 am
390
Carl wrote, ... Google search for "Farey web". ... How could it be otherwise? I presume you're up to speed on my triangular triad plots? ... Yes, but the...
Paul H. Erlich
PERLICH@...
May 9, 2001 8:44 pm
391
... Google strikes again. ... I was vaguely up to speed as of December 2000. ... You mean that taking k=2 combinations of F_n gives a superset of ^F_n because...
Carl Lumma
carl@...
May 9, 2001 9:22 pm
392
Robert Valentine wrote, ... Can I ask you where this is coming from? I always get something like 194¢ as best. ... Why don't you reproduce the calculation...
Paul H. Erlich
PERLICH@...
May 9, 2001 11:03 pm
393
Carl wrote, ... That sounds right. ... Major: (6,4) (5,4) Minor: (12,10) (15,10) Although the coordinates simply reduce to (3/2),(5/4) or vice verse, the major...
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