<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML><HEAD><TITLE>Message</TITLE> <META http-equiv=Content-Type content="text/html; charset=iso-8859-= 1"> <META content="MSHTML 5.50.4522.1800" name=GENERATOR> <STYLE></STYLE> </HEAD> <BODY bgColor=#ffffff> <DIV><FONT face=Arial size=2>Thanks, Don.</FONT></DIV> <DIV><FONT face=Arial size=2>I am looking for the frequencies of a Py= thagorean tuning, although I see what you are talking about when you state that it = depends on what note/frequency I want to start.  What I was wanting to = do was compare untempered note frequencies to tempered note frequencies.  D= oes that make sense?  I kinda feel like the little boy who was in Milita= ry School, and his mother was bragging to her friends that of 1000 cadettes,= he was the only one in step!  Oh well, sometimes it rains all week.</FONT><= /DIV> <DIV><FONT face=Arial size=2>Have a great one.</FONT></DIV> <DIV><FONT face=Arial size=2>Joy!</FONT></DIV> <DIV><FONT face=Arial size=2>Elwood</FONT></DIV> <DIV> </DIV> <DIV>Elwood Doss, Jr., RPT<BR>Technical Director/Piano Technician<BR>Depa= rtment of Music<BR>106 Fine Arts Building<BR>University of Tennessee at Martin<BR>731/587-1152<BR>::::::::::::::::::::::::::::::::::::::::::::::<= BR></DIV> <BLOCKQUOTE dir=ltr style="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-= LEFT: #000000 2px solid; MARGIN-RIGHT: 0px"> <DIV style="FONT: 10pt arial">----- Original Message ----- </DIV> <DIV style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black"><B>F= rom:</B> <A title=dmannino@kawaius.com href="mailto:dmannino@kawaius.com">Do= n Mannino</A> </DIV> <DIV style="FONT: 10pt arial"><B>To:</B> <A title=caut@ptg.org href="mailto:caut@ptg.org">College and University Technicians</A> </D= IV> <DIV style="FONT: 10pt arial"><B>Sent:</B> Wednesday, September 24, 2= 003 12:55 PM</DIV> <DIV style="FONT: 10pt arial"><B>Subject:</B> RE: frequencies of note= s</DIV> <DIV><BR></DIV> <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 wha= t you want is frequencies for equally tempered notes, isn't it?  Remembe= r, it is the intervals that are tempered, not the notes.  The difference= s between 2 notes is what makes it a tempered interval or not, so th= ere will be different frequencies for C depending on which interval you dec= ide 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 instanc= e, 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 kno= w 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 calculat= ing 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 n= ote 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 mean= t un-stretched tuning frequencies, there are charts for this, or the pitc= hes 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> Elw= ood 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>Subje= ct:</B> frequencies of notes<BR><BR></FONT></DIV> <DIV><FONT face=Arial size=2>I need to know where to find the fre= quencies of untempered notes.  For example, A=440 would be the same temper= ed or untempered.  C=523.5 would be a tempered pitch.  What wou= ld 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></BLOCKQUOTE></BODY></HTML>