source file: mills2.txt Date: Mon, 13 Jan 1997 10:00:20 -0800 Subject: RE: TUNING digest 955 From: PAULE Matt Nathan, I have heard too much music from around the world performed vocally and on continuous-pitch instruments which nonetheless gravitates toward a small set of pitches to dismiss this as a result of the practicalities of instrument making or other temporal or geographic biases. These pitch sets are often very idiosyncratic and rarely contain any semblances of small integers beyond the 3-limit. >> ...I have written a (mostly) triadic piece where successive shifts of >> chromatic semitones, 36/35s, 49/48s, and a limma, adding up to a perfect >> fourth, have a certain melodic integrity, but only in 22-tet because all >> these intervals are represented by 55 cents! >I'm not sure quite what you mean, those 3 intervals don't add up to 4/3. >I'd like to hear your piece though. Is there any way I can? Which 3 intervals? I mentioned 4, and I did not specify the number of times each occurs, except to say that the last occurs once. Well, numbering the four intervals in question from 1 to 4, they go like this: 1 2 3 2 1 4 2 3 2. That adds up to a 4/3. I play this piece so much that people are humming long sequences of successive 55-cent intervals, which tells me it's good enough to include on my first tape of 22-tone music (I'm still waiting for the guitar, though) despite its having nothing to do with my theories. So I'll keep it to myself for now. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Mon, 13 Jan 1997 20:06 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA06615; Mon, 13 Jan 1997 20:09:50 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA06620 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id LAA09650; Mon, 13 Jan 1997 11:09:46 -0800 Date: Mon, 13 Jan 1997 11:09:46 -0800 Message-Id: <32DA9560.31F8@interlinx.qc.ca> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu