source file: m1457.txt Date: Wed, 24 Jun 1998 15:40:58 -0400 Subject: RE: Paul's paper, and wallpaper From: "Paul H. Erlich" This message is in MIME format. Since your mail reader does not understand this format, some or all of this message may not be legible. ------ =_NextPart_000_01BD9FA8.02A9607E Content-Type: text/plain Sorry if the MIME stuff is still happening. I'll try to get someone to look into it. Paul wrote: >>I hope you get a chance to check out my paper on (two-step-sized) >>decatonic scales as a basis for 7-limit tonality, either in the >>just-published Xenharmonikon 17, or at >>http://www-math.cudenver.edu/~jstarret/22ALL.pdf. Rick Sanford wrote, >Me, too. feel free to send it to me. Can't you access the web site? >You're not saying Xen 17 has been >published and mailed yet, are you? Yeah, but John Chalmers is fixing an error that slipped through the cracks, so my copy is a little premature. If you're going to get this anyway, then I don't have to send you anything, do I? >Fow what it's worth, the 7-limit rap >need not apply: I don't write music with "consonant" chords and things. Well then you probably won't be too interested in my paper. It's meant to be a 7-limit analogue of traditional, 5-limit diatonic tonality. >>By the way, Easley Blackwood describes some amazing properties of >>the symmetrical decatonic scale in 15-TET >Amazing is right. The ideas work great. Too bad more people >(or even he himself) don't write more music in that way. Hear hear! Exactly. The diatonic scales that he tries to structure his 15tET pieces with sound horrible, and the overarching decatonic scale from which he pulls his diatonic scales passes unnoticed in his compositions. But '"consonant" chords and things' have EVERYTHING to do with why his 15tET decatonic ideas are amazing! Like the traditional octatonic scale, the scale is replete with consonant triads (5 major and 5 minor, as opposed to the octatonic's 4 and 4). But unlike the octatonic scale, which has no "perfect fifth"-relations between the roots of the triads, the 15tET decatonic triads' roots form a circle of "perfect fifths"! ------ =_NextPart_000_01BD9FA8.02A9607E Content-Type: application/ms-tnef Content-Transfer-Encoding: base64 eJ8+IjwTAQaQCAAEAAAAAAABAAEAAQeQBgAIAAAA5AQAAAAAAADoAAEIgAcAGAAAAElQTS5NaWNy b3NvZnQgTWFpbC5Ob3RlADEIAQWAAwAOAAAAzgcGABgADwAoADoAAwBnAQEggAMADgAAAM4HBgAY AA8AKAA6AAMAZwEBCYABACEAAABGQkREMjEyRDc1MEJEMjExQUNEMjAwODA1RkJFM0MwNQA+BwEE gAEAIAAAAFJFOiBQYXVsJ3MgcGFwZXIsIGFuZCB3YWxscGFwZXIAvAoBDYAEAAIAAAACAAIAAQOQ BgDoCgAALgAAAAMANgAAAAAAAwAEgAggBgAAAAAAwAAAAAAAAEYAAAAAUoUAALcNAAAeAAWACCAG AAAAAADAAAAAAAAARgAAAABUhQAAAQAAAAQAAAA4LjAAAwAGgAggBgAAAAAAwAAAAAAAAEYAAAAA AYUAAAAAAAALAACACCAGAAAAAADAAAAAAAAARgAAAAADhQAAAAAAAAsAD4AIIAYAAAAAAMAAAAAA AABGAAAAAA6FAAAAAAAAAwAQgAggBgAAAAAAwAAAAAAAAEYAAAAAEIUAAAAAAAADABGACCAGAAAA AADAAAAAAAAARgAAAAARhQAAAAAAAAMAFIAIIAYAAAAAAMAAAAAAAABGAAAAABiFAAAAAAAAHgAk gAggBgAAAAAAwAAAAAAAAEYAAAAANoUAAAEAAAABAAAAAAAAAB4AJYAIIAYAAAAAAMAAAAAAAABG AAAAADeFAAABAAAAAQAAAAAAAAAeACaACCAGAAAAAADAAAAAAAAARgAAAAA4hQAAAQAAAAEAAAAA AAAAAgEJEAEAAADSBQAAzgUAAKUIAABMWkZ1zU2FyQMACgByY3BnMTI10jIA+zM2AeggAqQD5J8H EwKDAFAD1AIAY2gKwNBzZXQwELZ9CoAIyFQgOwlvMBPvZQ4wNbMCgAqBdWMAUAsDYwBBxQtgbg4Q MDMzC6YGABEFsHJ5IAaQIHRoAmUF0ElNRSBzdP51ASAY4AQgGbADEAMgEhAMcHAJ8AuAZy4gSQon GnF0GMF0byBn9xJQGaADcGUCIBlAG+EJABxvaxjgAjAb8Gl0LkcKogqECoBQYXUDIHcRA2B0ZTod 1D4+SWUakG8a0CB5CGAcA2HyIBIBbmMcsxIABZAdMPsIYAVAbRjQCrAa0AXAAiBAICh0d28tGbBl 0nAjEGl6CYApH0YFgbZhG+ADAGMZoCRwbAeR8mElQSBiJWAaEQIQBcC4Ny1sB3AdoBvRbgdA4R2g eSwgZR2gGTAFwCcLgBkSH0ZqdRmwLXCOdQJgBAAZMGQgWAnwlxIRBGADAGsioTE3J1C/BbEkgB9G FzEOUB6xaAJAoHA6Ly93LJAtAMCRGSAuY3UBAG52BJDCLgmAdS9+ahmwCsABFAB0LzIyQUxM8C5w ZGYXMx6wEnAdy35SDeAdMAYRJhEpkB7jLFkd2j5NMZAb0W8bMGa/CeADIANQCeAb0hJAbimQqyaj IgBlHctDAHAnBUAfIDIA0CEQBBEZIndlYlMZoB2gZT8xu1kIYCeZFAAgbh8AGaBheRsB7ymiKoEa kQQgYgnhH0UpGN8AcCmQAMADECmBeRJQJ1CHCsAgEzdbWWVhaCdQomIh4UpvaAOgQxIQjmwHgBIw GgJmaXg5Ev8DkQSQA2AFwBkgJIAZoCZwjxrBKZAZIANgdWdoGRPzBQAA0GtzJ1AcUCICBaDucBjR JXInEXQlICIwFAB/LNEIcDSgG0AZACAxOGJnHm85EhvlGSBDAm55d9848DKhGTADoB/AZAIgNbH/ EhAtcDOnNeNGQEXhF6AnUKdHIBtAN1xGbwfgd0BS/R2gJwQgIvAAID3BGSImVt1B4HAK4wqEKZA+ HKApgeM4ohqxbHk6Rvce4DchnyIAKNAkwQPwGSAgIgWg9wCAJuECMCIgwTERRhJA8vUbAXMdy1cz MBuBRsIgMv1DwG8lsAJgGNAi8DWiOgD/MrIdQgSQB5AfEDQRA6AiFv8bMUryB4BQcRvSVHEgsCZW 8wBwB0BvZwpQIcAZAUHg2mQdoGkm4idQNSZlWQDPJIUm1h3LTQU+QhvBNqLdRnJFJWAlIBjQQgtg IaD/IvAEcEcQB5AFAToAGiEcYfsgoADAejkSU4EiYRpQB5H3WKAfRhkicwbAB4AboA3gLwdAXkEk eyfSMVmgVEX6VDG7QV9VGhEFEEFgHbD0IFQZMWkBACVhSzEdMP8JwSSAGzBlgFSxJbA7cQWwX0Oh HIALUBlATKsoBbFlLy1wA6AZMUXwbRJAbGb+KU6MZ5JPVCfjQGFGYR3AfxdAAtEW0wqBF0IBMR3j SK89oAXAGTAKwCFdMHgA0P9DgFsgZYNaJyT1QEMZMWGh/3CCM8EboBawRBJpwQQgY0B+dGOAIjAI kDZBT6QcUHX/NAFQ0V6RJSA8MVFDWIEtcf8KwBIAORJiHgNSSoEN4EFw/xkxKRAacAQgRfJvvgqw BBB/B5Fz4DihDeBVZEXyBaBtfHBvNxFZMVHAXaAh4ScLUA9RGidHdEVWRVLAWVRISU5HG9JJMf9P s0qQGNByaCRYZdQ8Ul9F/W7ATCpAHLFxA1j3IcBvEP8kikuEYrVlASNAJSBPIU+zT3xHcSJY8AQg KDU7gWr/KtI0AYehC4AFsDwxYFEawL97QEDiG/B1A4PmSwE0O0P8NCl7xHPgJnCCpYPfd1X/JWE4 oE/wImEzEG8QPzEBgPhoIi0UAAtge3M58SLg/wnhGRMDYB8AYFKCxYdCS4R/gF6HJH4AkKQmEXcw ILFpj3WQQ5FYoY5McyIhbJsFEwEAl0AAAAMAJgAAAAAAAwAuAAAAAAALAAIAAQAAAB4AcAABAAAA EwAAAFRVTklORyBkaWdlc3QgMTQ1NgAAAgFxAAEAAAAbAAAAAb2fh7WuLSHY2At1EdKs0gCAX748 BQAHaEaQAEAAOQCgtYwCqJ+9AQMA8T8JBAAAHgAxQAEAAAAGAAAAUEFVTEUAAAADABpAAAAAAB4A MEABAAAABgAAAFBBVUxFAAAAAwAZQAAAAAADAP0/5AQAAAMAgBD/////AgFHAAEAAAA0AAAAYz1V UzthPSA7cD1BY2FkaWFuLUFzc2V0O2w9TUFSUy05ODA2MjQxOTQwNThaLTEwMDcxAAIB+T8BAAAA SwAAAAAAAADcp0DIwEIQGrS5CAArL+GCAQAAAAAAAAAvTz1BQ0FESUFOLUFTU0VUL09VPUFBTS9D Tj1SRUNJUElFTlRTL0NOPVBBVUxFAAAeAPg/AQAAAA8AAABQYXVsIEguIEVybGljaAAAHgA4QAEA AAAGAAAAUEFVTEUAAAACAfs/AQAAAEsAAAAAAAAA3KdAyMBCEBq0uQgAKy/hggEAAAAAAAAAL089 QUNBRElBTi1BU1NFVC9PVT1BQU0vQ049UkVDSVBJRU5UUy9DTj1QQVVMRQAAHgD6PwEAAAAPAAAA UGF1bCBILiBFcmxpY2gAAB4AOUABAAAABgAAAFBBVUxFAAAAQAAHMNJ077Wln70BQAAIMH5gqQKo n70BHgA9AAEAAAAFAAAAUkU6IAAAAAAeAB0OAQAAABwAAABQYXVsJ3MgcGFwZXIsIGFuZCB3YWxs cGFwZXIAHgA1EAEAAAAuAAAAPEJFMUJGRDA3MzlEOEQxMTFBQ0M4MDA4MDVGQkUzQzA1MTQ5NUY0 QE1BUlM+AAAACwApAAAAAAALACMAAAAAAAMABhBl+CZIAwAHEKMFAAADABAQAAAAAAMAERABAAAA HgAIEAEAAABlAAAAU09SUllJRlRIRU1JTUVTVFVGRklTU1RJTExIQVBQRU5JTkdJTExUUllUT0dF VFNPTUVPTkVUT0xPT0tJTlRPSVRQQVVMV1JPVEU6SUhPUEVZT1VHRVRBQ0hBTkNFVE9DSEVDSwAA AAACAX8AAQAAAC4AAAA8QkUxQkZEMDczOUQ4RDExMUFDQzgwMDgwNUZCRTNDMDUxNDk1RjRATUFS Uz4AAADrxA== ------ =_NextPart_000_01BD9FA8.02A9607E--