source file: mills3.txt Date: Tue, 30 Dec 1997 20:12:10 +0100 Subject: Stellate Hexanies (14-anies) From: John Chalmers Neil: The scale is the 14-tone stellated hexany or dekatesserany, Mandala, or tetradekany invented by Erv Wilson. It is generated by taking any 2)4 hexany and adding 8 new tones to complete the generating tetrad or its inversion at each facet. That is, if the generator is A.B.C.D, the extra tones are A^2, B^2, C^2, D^2 and A.B.C/D, A.B.D/C, A.C.D/B and B.C.D/A. The original hexany tones are A.B, A.C, A.D, B.C, B.D and C.D When A = 1 as in 1.3.5.7, the math is simpler as 1^2 =1/1 and is a convenient tonic. The tones thus are 1/1 21/20 15/14 35/32 9/8 5/4 21/16 35/24 3/2 49/32 25/16 105/64 7/4 15/8 2/1, but actually any of the 14 modes can be used. The scale is intervallically symmetrical about 21/16 and 15/8. I don't know which piece is on the tape Brian sent you, but Paul Rapoport set a poem by Hildegard of Bingen to this scale and recorded it (See MusicWorks for article and recording). The Sonic Arts players in San Diego have based improvisations on this scale as well. --John SMTPOriginator: tuning@eartha.mills.edu From: "Paul H. Erlich" Subject: RE: Wilson scale PostedDate: 30-12-97 20:30:16 SendTo: CN=coul1358/OU=AT/O=EZH ReplyTo: tuning@eartha.mills.edu $MessageStorage: 0 $UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH RouteTimes: 30-12-97 20:27:53-30-12-97 20:27:54,30-12-97 20:27:17-30-12-97 20:27:18 DeliveredDate: 30-12-97 20:27:18 Categories: $Revisions: Received: from ns.ezh.nl ([137.174.112.59]) by notesrv2.ezh.nl (Lotus SMTP MTA SMTP v4.6 (462.2 9-3-1997)) with SMTP id C125657D.006AEA9D; Tue, 30 Dec 1997 20:29:45 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA28204; Tue, 30 Dec 1997 20:30:16 +0100 Date: Tue, 30 Dec 1997 20:30:16 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA28298 Received: (qmail 18309 invoked from network); 30 Dec 1997 11:30:11 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 30 Dec 1997 11:30:11 -0800 Message-Id: Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu