source file: mills3.txt Date: Fri, 21 Nov 1997 18:41:43 +0100 Subject: Book From: Manuel Op de Coul Recently a reprint appeared of the book Khinchin, A. Ya. (Aleksandr YAkovlevich), _Continued fractions_. 1935. Translated from Russian. University of Chicago Press, 1964. Dover Publications, New York, 1997, 95 pages, USD 6.95. This cheap Dover reprint is certainly welcome since there are not many comprehensive texts about continued fractions. The earlier mentioned book of Schroeder (by Paul E.) also has a paragraph about them. Convergents and CF's application in tuning lies in rational approximation, they are related to Farey fractions, mediants and are also useful in getting equal temperaments with closed circles of fifths. Manuel Op de Coul coul@ezh.nl SMTPOriginator: tuning@eartha.mills.edu From: Carl Lumma Subject: Thrice the Severity PostedDate: 21-11-97 21:12:44 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $MessageStorage: 0 $UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH RouteTimes: 21-11-97 21:11:14-21-11-97 21:11:15,21-11-97 21:11:20-21-11-97 21:11:20 DeliveredDate: 21-11-97 21:11:21 Categories: $Revisions: Received: from ns.ezh.nl ([137.174.112.59]) by notesrv2.ezh.nl (Lotus SMTP MTA SMTP v4.6 (462.2 9-3-1997)) with SMTP id C1256556.006EE2AB; Fri, 21 Nov 1997 21:11:09 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA05327; Fri, 21 Nov 1997 21:12:44 +0100 Date: Fri, 21 Nov 1997 21:12:44 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA05323 Received: (qmail 11997 invoked from network); 21 Nov 1997 12:12:40 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 21 Nov 1997 12:12:40 -0800 Message-Id: <19971121201519562.AAA323@NIETZSCHE> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu