source file: mills2.txt Date: Fri, 6 Dec 1996 08:57:54 -0800 Subject: An addendum to a confession (nerdy scale stuff) From: gtaylor@heurikon.com (One Cointreau, on ice....) My goodness. It would appear that some folks here are pretty quick when it comes to horsing around with new scales. I'm told that I should have put a couple of things in in the course of my last note about how the innumerate non-ideologue stumbles across the New World. It honestly didn't occur to me. As I set it up, the thing my muso pals here call "the gregscale" is mapped from f-f. It preserves the original way I burned the old DX7 ROM way back when. If one does that, then there are two versions of Dan Schmidt's Just Intonational Pelog scale f-g-a-b-c-d-e (duh) c-d#-e-f#-g#-a-a# (each pitch being a 3/2 from the above) You get two Dan Schmidt Slendro scales: f#-a-a#-c#-e b-d-e-f#-a and a third one, sort of* a#-c#-e-f-a *the 5 pitch is narrower (1.48 vs. 1.5) and 6 is wider (1.77 vs. 1.75) Those of you adept in central Javanese practice will note some odd little features - a pelog 4-5-6 (Slebrak, anyone?) can suddenly veer off into slendro pathet manyuro 1-2-3 with some ease, and the "embat" pitches for both tunings uh...aren't there. There are also some interesting overlays which result from slipping back and forth between the two pelogs or slendros, given the pitches they share in common (a 5-7-3 in the "f pelog" is the same as 1-3-6 in the "c pelog". There's a similar relationship among the two slendros). And finally, the biggest howler I seem to have managed would appear to lie in not providing you with a set of 12 JI ratios. Sorry - I was probably caught up in trying to tell a comforting tale, little realizing that it might be well received by the numerate types. 1/1-21/20-11/10-9/8-6/5-27/20-7/5-3/2-63/40-8/5-33/20-9/5 Actually, I was really hoping to discover that Harry Partch gave up on this scheme as brain-dead 50 or so years ago, or that some really smart woman has written a complete theory text on this dumb little thing that seems to work for me. If there's anyone who's wound up doing something similar arrived at by different means, I'd love to hear about it. Well, isn't this fun? Not a word of praise for Ferneyhough or Cage or Eric Lyon. With regards, Gregory _ When I pronounce the word Future,/the first syllable already belongs to the past./When I pronounce the word Silence,/I destroy it./When I pronounce the word Nothing,/I make something no nonbeing can hold./ (Wislawa Szymborska) Gregory Taylor, Heurikon Corp. http://www.msn.fullfeed.com/~gtaylor/home.html Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 6 Dec 1996 19:00 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA02115; Fri, 6 Dec 1996 19:02:46 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA02119 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id KAA28404; Fri, 6 Dec 1996 10:02:43 -0800 Date: Fri, 6 Dec 1996 10:02:43 -0800 Message-Id: Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu