source file: mills2.txt Date: Thu, 7 Dec 1995 07:48:09 -0800 Subject: Re: Programs for optimization of 12 tone tunings From: Paul Hahn On Wed, 6 Dec 1995, Jeff Welty wrote: > I have located various 12 tone tunings (i.e. equal temparment, Valloti, > etc.) and am curious how the tunings were arrived at. It strikes me > that this is a problem that can be solve with traditional mathematical > optimization techniques. Does anyone know of the existence of such > software for a PC? If not I am tempted to put together some code to do > it myself. John Sankey and Johnny Reinhard have been working on this. They have used this kind of technique to come up with a temperament optimized for the sonatas of Scarlatti. Since they're both on the list, I'll let them explain in more detail for themselves if they wish. --pH (manynote@library.wustl.edu or http://library.wustl.edu/~manynote) O /\ "Hey--do you think I need to lose some weight?" -\-\-- o Received: from eartha.mills.edu [144.91.3.20] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Thu, 7 Dec 1995 20:43 +0100 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id KAA13408; Thu, 7 Dec 1995 10:43:11 -0800 Date: Thu, 7 Dec 1995 10:43:11 -0800 Message-Id: Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu