source file: mills2.txt Date: Mon, 16 Dec 1996 03:09:26 -0800 Subject: Re: Harrison Lucy From: Manuel.Op.de.Coul@ezh.nl (Manuel Op de Coul) Daniel wrote: > From what I have read, Lucy's own descriptions of ''his scale'' are > deficient in many points, both mathematical and musical. His insistance > that his scale has something to do with _pi_ is almost as perplexing as his > failure to recognize that it has a lot to do with _phi_, .... No it has. Harrison's major third is equal to 2^(1/pi) or 381.9719 cents. The whole discussion started on 29-OCT-1994. > Erv Wilson has pointed out that the reason tunings like these (Harrison, > Lucy) are so pleasant despite the poor fifths is that the triads produce > first order difference tones that are scale members. The difference tones in Harrison's scale are not exactly on the mark. A-C: 1.6030037 Hertz, 96.1802225 beats/min. C-E: 3.2766052 Hertz, 196.5963142 beats/min. ratio: 2.044041 I haven't read the article but I can get the reference if anyone wants it. There is also something in Barbour's "Tuning and Temperament". Manuel Op de Coul coul@ezh.nl Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Mon, 16 Dec 1996 18:22 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA05810; Mon, 16 Dec 1996 18:24:45 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA05807 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id JAA22786; Mon, 16 Dec 1996 09:24:41 -0800 Date: Mon, 16 Dec 1996 09:24:41 -0800 Message-Id: <199612161715.KAA05637@freenet.uchsc.EDU> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu