Pat Pagano @ Csounds.com !!!!!!!!!!!!!!!!!!!!!!!!

Dear Friends
Hans Mikelson has graciously included me in his fabulous Csound Magazine
Let me know what you think
Cheers!

Pat Pagano, Director
South East Just Intonation Society
http://www.screwmusicforever.com/SHREESWIFT/

duh
http://csounds.com/ezine/cgspframe.html

Pat Pagano, Director
South East Just Intonation Society
http://www.screwmusicforever.com/SHREESWIFT/
----- Original Message -----
From: shreeswifty
To: Zip Boterbloem ; UFEMU-L@LISTS.UFL.EDU ; tuning@yahoogroups.com ; Robert Benchic ; LINUX-L@LISTS.UFL.EDU ; Lawrence Ball ; Kathy Sohar ; James Paul Sain ; Herb Jones ; hankrene@fdt.net ; GRACE COLLINS ; Dr. Richard Boulanger ; dean griebel (E-mail) ; David Beardsley ; Dave Segal ; Dave Phillips ; d_govoni@hotmail.com ; Chris Sturgeon ; Bill Orcutt ; Stephanie Ridgeway
Sent: Thursday, March 21, 2002 8:04 PM
Subject: [tuning] Pat Pagano @ Csounds.com !!!!!!!!!!!!!!!!!!!!!!!!

Dear Friends
Hans Mikelson has graciously included me in his fabulous Csound Magazine
Let me know what you think
Cheers!

Pat Pagano, Director
South East Just Intonation Society
http://www.screwmusicforever.com/SHREESWIFT/

Yahoo! Groups Sponsor
ADVERTISEMENT

You do not need web access to participate. You may subscribe through
email. Send an empty email to one of these addresses:
tuning-subscribe@yahoogroups.com - join the tuning group.
tuning-unsubscribe@yahoogroups.com - unsubscribe from the tuning group.
tuning-nomail@yahoogroups.com - put your email message delivery on hold for the tuning group.
tuning-digest@yahoogroups.com - change your subscription to daily digest mode.
tuning-normal@yahoogroups.com - change your subscription to individual emails.
tuning-help@yahoogroups.com - receive general help information.

Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.

--- In tuning@y..., "shreeswifty" <ppagano@b...> wrote:
> Dear Friends
> Hans Mikelson has graciously included me in his fabulous Csound
Magazine
> http://csounds.com/ezine/cgspframe.html
> Let me know what you think
> Cheers!
>
> Pat Pagano, Director
> South East Just Intonation Society
> http://www.screwmusicforever.com/SHREESWIFT/

Hi Pat,

Congratulations on getting published. I thoroughly enjoyed the piece.

That scale

1/1 17/16 425/384 153/128 51/40 1377/1024 17/12 119/80 51/32 17/10
85/48 119/64 2/1

makes a lot more sense if you transpose it so the 17/16 becomes the
1/1. I'm not saying you should treat the 17/16 as the tonic (but do
you actually treat the 1/1 as a tonic anyway?), just that recasting
the scale in this way reveals its structure. It is then seen to be

1/1 25/24 9/8 6/5 81/64 4/3 7/5 3/2 8/5 5/3 7/4 32/17 2/1

The 32/17 can then be seen as being "tempered by ratios" about halfway
between 243/128 (a 2:3 above 81/64) and 15/8 (a 4:5 above 3/2).

It's certainly a rational scale, and one could even call it a
Just-but-for-one-note scale, but I don't think it's quite correct to
call it simply a Just scale because there's no way you could tune the
32/17 (the original 1/1) by ear against any combination of the other
notes (except with a purpose-built timbre having a lot more 17th
harmonic than anything other). I claim that its precise tuning doesn't
really matter so long as it is somewhere near halfway between those
two pitches I mentioned which are a syntonic comma apart.

If you want to prove me wrong, you could try 17/9 or 49/26 or 66/35
instead of 32/17. The original scale would become respectively

1/1 18/17 75/68 81/68 108/85 729/544 24/17 126/85 27/17 144/85 30/17
63/34 2/1
or
1/1 52/49 325/294 117/98 312/245 1053/784 208/147 52/35 78/49 416/245
260/147 13/7 2/1
or
1/1 35/33 875/792 105/88 14/11 945/704 140/99 49/33 35/22 56/33 175/99
245/132

I predict that these will be indistinguishable from your original
scale in normal use, e.g. in the abovementioned enjoyable piece.