source file: mills3.txt Date: Fri, 12 Dec 1997 01:03:53 +0100 Subject: Re: septimal intervals From: Gregg Gibson Graham Breed said: > To state my own opinion, which is the only one I trust, a just 4:6:7 > chord is more consonant than a major triad in 12 equal. Extending > consonance to the 7-limit means just that -- no further. In the more usual timbres at least, the 7:6 interval beats too much to be consonant, affected as it is by the unison. The 7:5 is obscured by the fifth and fourth. There is a slightly stronger case for the 7:4, but note that the first partial of the lower tone beats with the fundamental of the upper tone (8:7). The 7:4 forms dissonant intervals with the consonances of the senario, whereas 8:5 does not (at least not with 6:5 & 4:3). This is a vast subject however, which can scarcely be treated here on the scale it deserves. I quite agree that the dissonance or consonance of the septimals proves nothing regarding the undecimal intervals. SMTPOriginator: tuning@eartha.mills.edu From: Gregg Gibson Subject: 22-tone equal, reply to Ehrlich PostedDate: 12-12-97 02:22:13 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: 12-12-97 02:20:16-12-12-97 02:20:16,12-12-97 02:20:00-12-12-97 02:20:01 DeliveredDate: 12-12-97 02:20:01 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 C125656B.0007579A; Fri, 12 Dec 1997 02:22:08 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA12599; Fri, 12 Dec 1997 02:22:13 +0100 Date: Fri, 12 Dec 1997 02:22:13 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA13352 Received: (qmail 11481 invoked from network); 11 Dec 1997 17:22:08 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 11 Dec 1997 17:22:08 -0800 Message-Id: <3490F3C6.670B@ww-interlink.net> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu