<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML><HEAD> <META HTTP-EQUIV="Content-Type" CONTENT="text/html; = charset=us-ascii"> <TITLE>Message</TITLE> <META content="MSHTML 6.00.2800.1226" name=GENERATOR> <STYLE></STYLE> </HEAD> <BODY bgColor=#ffffff> <DIV><SPAN class=812124617-24092003><FONT color=#000080>Elwood,</FONT></SPAN></DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080></FONT></SPAN> </DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080>I think what = you want is frequencies for equally tempered notes, isn't it?  Remember, = it is the intervals that are tempered, not the notes.  The differences = between 2 notes is what makes it a tempered interval or not, so there will be = different frequencies for C depending on which interval you decide is = not tempered.</FONT></SPAN></DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080></FONT></SPAN> </DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080>For = instance, a minor third from A4 to C5 untempered (pure 3rd tuning) would create a very different pitch for the C compared to one that is equally = tempered.  You could calculate the pitches using simple ratios, as long as you know = the frequency of the starting interval.</FONT></SPAN></DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080></FONT></SPAN> </DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080>So = calculating all of the frequencies for "un tempered" notes is not really possible - every = note will have a huge variety of frequencies, depending on which reference note = you use to calculate the pitch.</FONT></SPAN></DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080></FONT></SPAN> </DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080>If you meant = un-stretched tuning frequencies, there are charts for this, or the = pitches can be calculated for an equal-tempered scale.</FONT></SPAN></DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080></FONT></SPAN> </DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080>Don Mannino RPT</FONT></SPAN></DIV> <DIV><SPAN class=812124617-24092003><FONT color=#000080></FONT></SPAN> </DIV> <BLOCKQUOTE dir=ltr style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000080 2px = solid; MARGIN-RIGHT: 0px"> <DIV></DIV> <DIV class=OutlookMessageHeader lang=en-us dir=ltr = align=left><FONT face=Tahoma size=2>-----Original Message-----<BR><B>From:</B> = Elwood Doss, Jr. [mailto:edoss@utm.edu] <BR><B>Sent:</B> Wednesday, September 24, 2003 = 10:09 AM<BR><B>To:</B> College and University Technicians<BR><B>Subject:</B> = frequencies of notes<BR><BR></FONT></DIV> <DIV><FONT face=Arial size=2>I need to know where to find the = frequencies of untempered notes.  For example, A=440 would be the same = tempered or untempered.  C=523.5 would be a tempered pitch.  What = would it be if it were untempered.</FONT></DIV> <DIV><FONT face=Arial size=2>Thanks for your help.</FONT></DIV> <DIV><FONT face=Arial size=2>Joy!</FONT></DIV> <DIV><FONT face=Arial size=2>Elwood</FONT></DIV> <DIV> </DIV> <DIV><FONT face=Arial size=2>Elwood Doss, Jr., RPT<BR>Technical = Director/Piano Technician<BR>Department of Music<BR>106 Fine Arts = Building<BR>University of Tennessee at = Martin<BR>731/587-1152<BR>::::::::::::::::::::::::::::::::::::::::::::::<= BR></FONT></DIV></BLOCKQUOTE></BODY></HTML>