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<p class=MsoNormal><font size=4 face=Arial><span style='font-size:14.0pt;
font-family:Arial'>The post below shows why one should use the actual formula
rather than the computed value of the formula for calculations.&nbsp;&nbsp; If
you use 2^(1/12)^12&nbsp;&nbsp; you get 2.&nbsp; </span></font></p>

<p class=MsoNormal><font size=4 face=Arial><span style='font-size:14.0pt;
font-family:Arial'>&nbsp;</span></font></p>

<p class=MsoNormal><font size=4 face=Arial><span style='font-size:14.0pt;
font-family:Arial'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; If
you use </span></font><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>1.05946285^12&nbsp;&nbsp;&nbsp; </span></font><font size=4
face=Arial><span style='font-size:14.0pt;font-family:Arial'>you get </span></font><font
size=2 face=Arial><span style='font-size:10.0pt;font-family:Arial'>1.99999446</span></font><font
size=4 face=Arial><span style='font-size:14.0pt;font-family:Arial'> .&nbsp; Besides
it is much easier to punch in 2^(1/12) because you can remember it much much easier
than 1.05946285. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;---ricm&nbsp; </span></font></p>

<p class=MsoNormal><font size=4 face=Arial><span style='font-size:14.0pt;
font-family:Arial'>&nbsp;</span></font></p>

<p class=MsoNormal style='text-autospace:none'><font size=4 face=Arial><span
style='font-size:14.0pt;font-family:Arial'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></font><font
size=4 face="Courier New"><span style='font-size:14.0pt;font-family:"Courier New"'>&quot;There
is nothing worse than a sharp image of a fuzzy concept.&quot;</span></font></p>

<p class=MsoNormal style='text-autospace:none'><font size=4 face="Courier New"><span
style='font-size:14.0pt;font-family:"Courier New"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Ansel Adams (1902 - 1984), </span></font><font size=4 face="Courier New"><span
  style='font-size:14.0pt;font-family:"Courier New"'>US</span></font><font
size=4 face="Courier New"><span style='font-size:14.0pt;font-family:"Courier New"'>
photographer</span></font></p>

<p class=MsoNormal><font size=4 face=Arial><span style='font-size:14.0pt;
font-family:Arial'>&nbsp;</span></font></p>

<p class=MsoNormal><font size=4 face=Arial><span style='font-size:14.0pt;
font-family:Arial'>&nbsp;</span></font></p>

<p class=MsoNormal style='margin-left:.5in'><font size=2 face=Tahoma><span
style='font-size:10.0pt;font-family:Tahoma'>-----Original Message-----<br>
<b><span style='font-weight:bold'>From:</span></b> pianotech-bounces@ptg.org
[mailto:pianotech-bounces@ptg.org] <b><span style='font-weight:bold'>On Behalf
Of </span></b>KeyKat88@aol.com<br>
<b><span style='font-weight:bold'>Sent:</span></b> Saturday, September 30, 2006
3:43 AM<br>
<b><span style='font-weight:bold'>To:</span></b> pianotech@ptg.org<br>
<b><span style='font-weight:bold'>Subject:</span></b> Two to the one twelth
power </span></font></p>

<p class=MsoNormal style='margin-left:.5in'><font size=3 face="Times New Roman"><span
style='font-size:12.0pt'>&nbsp;</span></font></p>

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<p class=MsoNormal style='margin-left:.5in'><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>Greetings, </span></font></p>

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<p class=MsoNormal style='margin-left:.5in'><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>&nbsp;</span></font></p>

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<p class=MsoNormal style='margin-left:.5in'><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Punching 2 to the 1/12 power&nbsp;into my calculator,&nbsp;it gives me
1.05946285. &nbsp;How far does this number go on? Is it a number like Pi that
goes on and on? What sort of software will let me see&nbsp;how far it can go?
&nbsp;If I am doing harmony calculations, how far is it practical to go? What
is the norm?&nbsp;</span></font></p>

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<p class=MsoNormal style='margin-left:.5in'><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>&nbsp;</span></font></p>

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<p class=MsoNormal style='margin-left:.5in'><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>Julia</span></font></p>

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<p class=MsoNormal style='margin-left:.5in'><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>Reading, PA</span></font></p>

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