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<DIV><FONT face=Arial size=2>I'm not really looking for the partials =
of the
notes, I am trying to determine the best octave for an individual =
piano.
If there is a lot of inharmonicity, sometimes a 4:2 is too wide for the
2:1. If you know all of the partial values in cents, how would you =
determine octave widths that fit the best. </FONT></DIV>
<DIV><FONT face=Arial size=2>A2</FONT></DIV>
<DIV>
<TABLE cellSpacing=0 cellPadding=2 width=174 border=0>
<TBODY>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>1st partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P></P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>2nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>-6.72</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>3nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>-4.52</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>4nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>-2.57</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>5nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>0.48</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>6nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>3.27</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>7nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>6.92</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>8nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>5.85</P></TD></TR></TBODY></TABLE> </DIV>
<DIV><FONT face=Arial size=2>A3</FONT></DIV>
<DIV>
<TABLE cellSpacing=0 cellPadding=2 width=174 border=0>
<TBODY>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>1st partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>-1.06</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>2nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>-1.84</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>3nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>0.33</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>4nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>3.1</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>5nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>6.88</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>6nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>11.36</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>7nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>15.23</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>8nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>20.3</P></TD></TR></TBODY></TABLE></DIV>
<DIV>
<TABLE cellSpacing=0 cellPadding=2 width=174 border=0>
<TBODY>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P><FONT face=Arial size=2>A4</FONT>
<P>1st partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>0</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>2nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>1.27</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>3nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>4.28</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>4nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>9.99</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>5nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>15.99</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>6nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>23.27</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>7nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>31.84</P></TD></TR>
<TR>
<TD width="51%" bgColor=#ffffff height=16>
<P>8nd partial</P></TD>
<TD width="49%" bgColor=#ffffff height=16>
<P align=right>41.46</P></TD></TR></TBODY></TABLE></DIV>
<DIV><FONT face=Arial size=2>This is A2 , A3 and =
A4 from a
Wurlitzer spinet, we know all of the information of the partials and can =
see how
much stretch there needs to be. Is there a way to determine the =
beat rate
of any type of octave from these numbers. Is a 6:3 too wide in the =
tenor,
probably, can these numbers prove that. If I tuned a 4:2 octave, =
what
would the beat rate be of the 2:1. It is not the octave type that =
I need
but determining which one fits the best to give me fairly clean =
octaves. I
believe the RCT has some of those capabilities to combine beats and =
cents
measurements into its calculations, but what is the best way to take =
cents
measurements and determine beat values?</FONT></DIV></BODY></HTML>