source file: mills2.txt Date: Thu, 2 Jan 1997 18:59:07 -0800 Subject: Food for thought - a puzzle From: Kelly Rappuchi and Glen Peterson I have been playing with the tone set generated by using all small whole number ratios in the 9 limit with their inversions. I chose 9 because the 11s didn't sound consonant to me and generated just too many notes for my taste. Here's the challenge: There are some really large intervals near the edges of the scale. What 2 ratios and their inversions would you use to fill in the gaps and why? Here's the scale from lowest to highest: 1 ? ? 9 8 7 6 5 4 7 3 5 1 ? ? 10 9 8 7 6 5 9 4 7 7 2 9 5 3 7 4 9 5 ? ? 2 10 3 14 8 5 12 7 16 9 ? ? 1 35 20 I chose 36 and 21 because they were common in the set of resultant intervals produced by this scale. If you have a reason to choose more than 2 intervals that's fine too. I look forward to a variety of answers! :-) -Glen Peterson Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 3 Jan 1997 08:06 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA01222; Fri, 3 Jan 1997 08:09:20 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA01220 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id XAA18228; Thu, 2 Jan 1997 23:09:16 -0800 Date: Thu, 2 Jan 1997 23:09:16 -0800 Message-Id: <199701030707.XAA23474@sunatg1> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu