source file: m1455.txt Date: Mon, 22 Jun 1998 14:02:42 -0400 Subject: Reply to Rick Sanford 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_01BD9E07.F3CC0BFC Content-Type: text/plain >Nice to hear some talk about 7/4's for a change. >I say Decatonic to mean 10 intervals, but in two sizes >(like the old Messiaen, Stravinsky stuff) the way Octatonic >has whole step, half step, etc. 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. >In "Pient Molles" (forum CD piece), it's 5 240-cent big pieces >with 60-cent small pieces in between. I'm confused . . . is that 5 180-cent big steps and 5 60-cent small steps? By the way, Easley Blackwood describes some amazing properties of the symmetrical decatonic scale in 15-TET (5 160-cent big steps alternating with 5 80-cent small steps) in Perspectives of New Music Vol. 29 No. 2 pp. 166-200 (1991). ------ =_NextPart_000_01BD9E07.F3CC0BFC Content-Type: application/ms-tnef Content-Transfer-Encoding: base64 eJ8+IiwSAQaQCAAEAAAAAAABAAEAAQeQBgAIAAAA5AQAAAAAAADoAAEIgAcAGAAAAElQTS5NaWNy b3NvZnQgTWFpbC5Ob3RlADEIAQWAAwAOAAAAzgcGABYADgACACoAAQAsAQEggAMADgAAAM4HBgAW AA4AAgAqAAEALAEBCYABACEAAABEM0U5MkNCOEUyMDlEMjExQUNEMjAwODA1RkJFM0MwNQA7BwEE gAEAFgAAAFJlcGx5IHRvIFJpY2sgU2FuZm9yZAClBwENgAQAAgAAAAIAAgABA5AGAFQIAAAuAAAA AwA2AAAAAAADAASACCAGAAAAAADAAAAAAAAARgAAAABShQAAtw0AAB4ABYAIIAYAAAAAAMAAAAAA AABGAAAAAFSFAAABAAAABAAAADguMAADAAaACCAGAAAAAADAAAAAAAAARgAAAAABhQAAAAAAAAsA AIAIIAYAAAAAAMAAAAAAAABGAAAAAAOFAAAAAAAACwAPgAggBgAAAAAAwAAAAAAAAEYAAAAADoUA AAAAAAADABCACCAGAAAAAADAAAAAAAAARgAAAAAQhQAAAAAAAAMAEYAIIAYAAAAAAMAAAAAAAABG AAAAABGFAAAAAAAAAwAUgAggBgAAAAAAwAAAAAAAAEYAAAAAGIUAAAAAAAAeACSACCAGAAAAAADA AAAAAAAARgAAAAA2hQAAAQAAAAEAAAAAAAAAHgAlgAggBgAAAAAAwAAAAAAAAEYAAAAAN4UAAAEA AAABAAAAAAAAAB4AJoAIIAYAAAAAAMAAAAAAAABGAAAAADiFAAABAAAAAQAAAAAAAAACAQkQAQAA AEgDAABEAwAAbAQAAExaRnXWcs4IAwAKAHJjcGcxMjXSMgD7MzYB6CACpAPknwcTAoMAUAPUAgBj aArA0HNldDAQtn0KgAjIVCA7CW8wE+9lDjA18wKACoF1YwBQCwMM0AHBFwjQAEELYG4OEDAzMxEL piA+Tg3gZSB00G8gaGUKwXMDcBkxOQdAayABoAhgBUA3L5w0JwQgAhAFwGEgEgE5GABlLgqiCoQK gD5JoRnAYXkgRAWQYRlQvQMAYxlCB4ADkRggIAuACnQEkHYHQHMsIGK3GqELgBlAdxlgAJB6B5Bh HGUobGlrGTEZgCDdBvBkBdAHkACQYQnwHxAgU3RyYXYLgHNrUR0Qc3R1ASApIPN3+R0BT2MBkB1z HGUSEAQgnHdoBvAZMCLQZXAfENkSEGxmJVUSUGMb+xzQ1SUQcBkweQhgIBvQBUC/G3QZJBIABZAa UBqSbR0QTwqwJ7AFwAIgICgfoS33JWIqwB/xZCMgBYEdZQTw7wdAB5Ek0RtwYiTQBAAbI+Q3LSCw bWkFQB1xB0D9LeB5JlEt4BmABcAfciERxGp1ItAtcHUCYAQAexmAIWBYCfASEQRgAwBr+SpRMTcf EBtCBUEXoA5QCnUDIGgCQHA6Ly8adzLwLQDAIQAuY3UpAQBudgSQLgmAdS8cfmoi0ArAFAB0LzIA MkFMTC5wZGafF5MyUBJwG/0DoCJQCJBvAjAF0AbwLGEiKnAbMXVwbSBDRCngCJAZICkHHxAt4BsB IDUgMjSMMC0ZIDdhYmlnOKS3ICYD8CEAIA9AOeRzAMDXN7A6dR9iYhJQdwnhJqxmJzhgBaBuZi+g MFEunz8jLSEhADHROZAxODnZeyViLIFuIWA5kDusQQM/3CBCHRAjRR8QRSTQJTD9HRBCC2ApUB+w BHArgQTy1z0gBCAZ02EAwHoLgDph2wNgKhF0CJAEIG8l8CEC/nMGwAeAIjAN4AdAK44fYsAxNS1U RVQqcEAR+zumQMlsHqEuMEawRiE7U185kEBGQkkjIB9xUASQc7snsCPQaTPQRuMHwk0voE0doVYG 8D8wMjkHsG+bT7Ep4HA/MEoANi0B0IEScCgxOTkxKRv5XxcoAtEW0wqAEwEAU7ADACYAAAAAAAMA LgAAAAAACwACAAEAAAAeAHAAAQAAABMAAABUVU5JTkcgZGlnZXN0IDE0NTEAAAIBcQABAAAAGwAA AAG9m5k8spDNXBMGvBHSrNIAgF++PAUAm1BIIABAADkA4MJU8weevQEDAPE/CQQAAB4AMUABAAAA BgAAAFBBVUxFAAAAAwAaQAAAAAAeADBAAQAAAAYAAABQQVVMRQAAAAMAGUAAAAAAAwD9P+QEAAAD AIAQ/////wIBRwABAAAAMwAAAGM9VVM7YT0gO3A9QWNhZGlhbi1Bc3NldDtsPU1BUlMtOTgwNjIy MTgwMjQyWi05MDE1AAACAfk/AQAAAEsAAAAAAAAA3KdAyMBCEBq0uQgAKy/hggEAAAAAAAAAL089 QUNBRElBTi1BU1NFVC9PVT1BQU0vQ049UkVDSVBJRU5UUy9DTj1QQVVMRQAAHgD4PwEAAAAPAAAA UGF1bCBILiBFcmxpY2gAAB4AOEABAAAABgAAAFBBVUxFAAAAAgH7PwEAAABLAAAAAAAAANynQMjA QhAatLkIACsv4YIBAAAAAAAAAC9PPUFDQURJQU4tQVNTRVQvT1U9QUFNL0NOPVJFQ0lQSUVOVFMv Q049UEFVTEUAAB4A+j8BAAAADwAAAFBhdWwgSC4gRXJsaWNoAAAeADlAAQAAAAYAAABQQVVMRQAA AEAABzBoc5H8Bp69AUAACDD8C8zzB569AR4APQABAAAAAQAAAAAAAAAeAB0OAQAAABYAAABSZXBs eSB0byBSaWNrIFNhbmZvcmQAAAAeADUQAQAAAC4AAAA8QkUxQkZEMDczOUQ4RDExMUFDQzgwMDgw NUZCRTNDMDUxNDk1RTVATUFSUz4AAAALACkAAAAAAAsAIwAAAAAAAwAGEPc/GQ8DAAcQnQIAAAMA EBABAAAAAwAREAEAAAAeAAgQAQAAAGUAAABOSUNFVE9IRUFSU09NRVRBTEtBQk9VVDcvNFNGT1JB Q0hBTkdFSVNBWURFQ0FUT05JQ1RPTUVBTjEwSU5URVJWQUxTLEJVVElOVFdPU0laRVMoTElLRVRI RU9MRE1FU1NJQUVOAAAAAAIBfwABAAAALgAAADxCRTFCRkQwNzM5RDhEMTExQUNDODAwODA1RkJF M0MwNTE0OTVFNUBNQVJTPgAAACrS ------ =_NextPart_000_01BD9E07.F3CC0BFC--