source file: mills3.txt Date: Sat, 13 Dec 1997 01:55:14 +0100 Subject: RE: TUNING digest 1265 From: Erik Nauman > >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). I may have a different definition of consonance and dissonance than many, but I think the beauty of the 7-limit is its quality of what I would describe as stretching consonance along a continuum from simple, tight vibration patterns to complex and loose. Then there is a category beyond a some point when the chord loses its identity and cohesion and this I would call dissonance. But then this could just be my own little way of seeing things.I suppose many of you use a mathematical definition of consonance, comparing partials and such, that I wouldn't begin to understand, but I trust my ears. The voicing of chords is also an important factor; 7:5 sounds magnificent when placed in the octave above a 4:5:6 chord, even a 4:5:6:7 chord, or an 8:9:10:12:14 chord. Erik Nauman > SMTPOriginator: tuning@eartha.mills.edu From: "Andrew L. Kaye" Subject: Re: small intervals PostedDate: 13-12-97 02:31:50 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: 13-12-97 02:29:51-13-12-97 02:29:52,13-12-97 02:29:34-13-12-97 02:29:35 DeliveredDate: 13-12-97 02:29:35 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 C125656C.0008384D; Sat, 13 Dec 1997 02:31:43 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA13715; Sat, 13 Dec 1997 02:31:50 +0100 Date: Sat, 13 Dec 1997 02:31:50 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA14324 Received: (qmail 5627 invoked from network); 12 Dec 1997 17:31:41 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 12 Dec 1997 17:31:41 -0800 Message-Id: <3491E536.1A91729C@fast.net> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu