<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML><HEAD> <META HTTP-EQUIV="Content-Type" CONTENT="text/html; = charset=windows-1250"> <TITLE>Message</TITLE> <META content="MSHTML 6.00.2900.2604" name=GENERATOR></HEAD> <BODY> <DIV><SPAN class=000552602-05042005><FONT face=Arial>It seems to me = that since most temperaments work well with about 1/2 beat narrow D4-A4 fifth and = likewise with about a 1/2 beat wide D3-D4 octave, if you tuned D3 to A4 = absolutely beatless (at A5) you would have two notes (in a two octave temperament) = that were dead-on and accounting for inharminicity across the break in most pianos.</FONT></SPAN></DIV> <DIV><SPAN class=000552602-05042005><FONT = face=Arial></FONT></SPAN> </DIV> <DIV><SPAN class=000552602-05042005><FONT face=Arial>Then, tuning A3 = to A4, and D4 to D3 while checking the fourths and fifths created among those four = notes you'd be pretty confident you had four solidly and rather easily placed notes.</FONT></SPAN></DIV> <DIV><SPAN class=000552602-05042005><FONT = face=Arial></FONT></SPAN> </DIV> <DIV><SPAN class=000552602-05042005><FONT face=Arial>Anything wrong = with this?</FONT></SPAN></DIV> <DIV><SPAN class=000552602-05042005><FONT = face=Arial></FONT></SPAN> </DIV> <DIV><SPAN class=000552602-05042005><FONT face=Arial>Now, find me a = similar exercise for nailing down F3 or F4 (NOT estimating beat rates) and I'd = be one excited camper, because after that a two octave temperament (C3-B4 for = the RPT tuning test) would be pretty easy.</FONT></SPAN></DIV> <DIV><SPAN class=000552602-05042005><FONT = face=Arial></FONT></SPAN> </DIV> <DIV><SPAN class=000552602-05042005><FONT face=Arial>I know I'm = trying to reinvent the wheel, but this business of esti-placing F3, D3, and A#3 = without REALLY knowing their best placement kinda bugs me. At least with D4 you = have 4ths and 5ths to listen to, but dang it if the whole structure doesn't = depend too much on getting the "right" width for the A3-A4 octave and then = floating in that F3...</FONT></SPAN></DIV> <DIV><SPAN class=000552602-05042005></SPAN> </DIV> <DIV align=left><FONT face=Arial size=2>Alan R. = Barnard</FONT></DIV> <DIV align=left><FONT face=Arial size=2>Salem, MO</FONT></DIV> <DIV><FONT face=Arial></FONT> </DIV> <DIV><FONT face=Arial></FONT> </DIV></BODY></HTML> <BR> <P><FONT SIZE=2>--<BR> No virus found in this outgoing message.<BR> Checked by AVG Anti-Virus.<BR> Version: 7.0.308 / Virus Database: 266.9.1 - Release Date: = 04/01/2005<BR> </FONT> </P>