source file: mills2.txt Date: Fri, 30 Aug 1996 07:34:22 -0700 Subject: RE: Re: TUNING digest 819 From: PAULE Ed, >> If it is tuned "in frequency ratios of 4x:5x:6x:7x where x=some fundamental >>frequency," then it is consonant. If it is tuned according to >>a diatonic scale with six consonant triads, it is dissonant. > Paul, the diatonic scale I use has many more than six consonant triads, >I don't understand....I tune according to a "root" not a scale. Please >elaborate on "dissonant". I don't know what you mean. Can you elaborate? This is what I mean. Take C major, a common diatonic scale. As usually defined, it has six consonant triads: C, Dm, Em, F, G, Am. These triads are in fact consonant when 12-, 19-, 31-tET, or meantone temperament is used to tune the scale. In all of these cases, G B D F will be dissonant, and in meantone or 31-tET, a closer approximation to a 4:5:6:7 chord built on G can be found than that which arises from the diatonic scale. That chord is notatod G B D E#. However, this chord will not sound correct in C major, despite its acoustical purity: the note "F" is expected, and an out-of-tune version is put in its place. In addition, the "clash" in G B D F is essential to the feeling that it needs to resolve to the tonic chord, C E G. -Paul Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 30 Aug 1996 19:06 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA04083; Fri, 30 Aug 1996 19:07:50 +0200 Received: from eartha.mills.edu by ns (smtpxd); id XA09859 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id KAA08099; Fri, 30 Aug 1996 10:07:48 -0700 Date: Fri, 30 Aug 1996 10:07:48 -0700 Message-Id: <199608301706.SAA10131@gollum.globalnet.co.uk> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu