source file: mills2.txt Date: Mon, 6 Jan 1997 08:10:56 -0800 Subject: RE: TUNING digest 946 From: PAULE Matt Nathan wrote, >By my hearing, most equal temperaments work in proportion to the extent that >they get close to rational intervals, thanks or curses to the ear's natural >attraction to rational intervals and its propensity for interpretting >random intervals as perversions of rational intervals Agreed! >--which leads me to >think >it best use the rational intervals directly. Unfortunately, real music is more than just an isolated presentation of harmonic intervals. Therefore, I do not reach this conclusion. In fact, there are many musical considerations which contradict, and need to be balanced against, the desire for pure intervals. I chose to reinterpret the 9-limit example in 41-tet so that I could add notes which would form consonances with more of the existing notes than would be possible in just intonation (what is often called "punning"). Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Mon, 6 Jan 1997 17:11 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA02976; Mon, 6 Jan 1997 17:14:40 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA02974 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id IAA14125; Mon, 6 Jan 1997 08:14:37 -0800 Date: Mon, 6 Jan 1997 08:14:37 -0800 Message-Id: <81970106161018/0005695065PK3EM@MCIMAIL.COM> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu