source file: mills2.txt Date: Sat, 26 Apr 1997 21:07:42 -0700 Subject: Re: Music and the Brain From: mr88cet@texas.net (Gary Morrison) >My name is Brian Carlson, I live in Denver and play a 19 tone steel >string acoustic guitar and another with the frets spaced at the following >ratios - 21/20 9/8 7/6 6/5 5/4 21/16 4/3 7/5 35/24 3/2 14/9 >8/5 5/3 7/4 9/5 15/8 and 35/18. Mark Rankin worked out these ratios >to include the 7 limit ratios and also keep the frets spaced far enough >apart to be playable. Perhaps it's a little unfortunate that Mark didn't choose 9:7 for the supramajor rather than 21:16. But then again, 19 doesn't really provide for supramajors and subminors as such; it really only provides for differences between augmented intervals and the next higher interval class. In other words, since in 19 the 7-step interval is really an augmented third rather than a supramajor, since it is roughly equally far above the major third as the minor third is below it. A supramajor third would have to be roughly half as far above the major third as the minor third is below it. 21:16 is definitely an augmented third. 7:6, however, definitely is subminor, being about a quartertone below the minor third. So I guess it's a little asymmetrical there. Ah! This terminology and symmetry concerns only go so far; what matters is that you make great music with it! I'd like to hear some whenever you have a chance to make some. By the way, Lydia Ayers has also worked with a Just 19-toned scale. I don't recall the ratios off the top of my head though. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Sun, 27 Apr 1997 12:35 +0200 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA31525; Sun, 27 Apr 1997 12:35:45 +0200 Received: from ella.mills.edu by ns (smtpxd); id XA31803 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id DAA27004; Sun, 27 Apr 1997 03:33:54 -0700 Date: Sun, 27 Apr 1997 03:33:54 -0700 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu