<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML xmlns="http://www.w3.org/TR/REC-html40" xmlns:v =
"urn:schemas-microsoft-com:vml" xmlns:o =
"urn:schemas-microsoft-com:office:office" xmlns:w =
"urn:schemas-microsoft-com:office:word" xmlns:x =
"urn:schemas-microsoft-com:office:excel" xmlns:m =
"http://schemas.microsoft.com/office/2004/12/omml"><HEAD>
<META content="text/html; charset=iso-8859-1" http-equiv=Content-Type>
<META name=GENERATOR content="MSHTML 9.00.8112.16430">
<STYLE>@font-face {
font-family: Calibri;
}
@font-face {
font-family: Consolas;
}
@page WordSection1 {size: 8.5in 11.0in; margin: 1.0in 1.0in 1.0in 1.0in; }
P.MsoNormal {
MARGIN: 0in 0in 0pt; FONT-FAMILY: "Calibri","sans-serif"; FONT-SIZE: 11pt
}
LI.MsoNormal {
MARGIN: 0in 0in 0pt; FONT-FAMILY: "Calibri","sans-serif"; FONT-SIZE: 11pt
}
DIV.MsoNormal {
MARGIN: 0in 0in 0pt; FONT-FAMILY: "Calibri","sans-serif"; FONT-SIZE: 11pt
}
A:link {
COLOR: blue; TEXT-DECORATION: underline; mso-style-priority: 99
}
SPAN.MsoHyperlink {
COLOR: blue; TEXT-DECORATION: underline; mso-style-priority: 99
}
A:visited {
COLOR: purple; TEXT-DECORATION: underline; mso-style-priority: 99
}
SPAN.MsoHyperlinkFollowed {
COLOR: purple; TEXT-DECORATION: underline; mso-style-priority: 99
}
P.MsoPlainText {
MARGIN: 0in 0in 0pt; FONT-FAMILY: Consolas; FONT-SIZE: 10.5pt; mso-style-priority: 99; mso-style-link: "Plain Text Char"
}
LI.MsoPlainText {
MARGIN: 0in 0in 0pt; FONT-FAMILY: Consolas; FONT-SIZE: 10.5pt; mso-style-priority: 99; mso-style-link: "Plain Text Char"
}
DIV.MsoPlainText {
MARGIN: 0in 0in 0pt; FONT-FAMILY: Consolas; FONT-SIZE: 10.5pt; mso-style-priority: 99; mso-style-link: "Plain Text Char"
}
SPAN.PlainTextChar {
FONT-FAMILY: Consolas; mso-style-priority: 99; mso-style-link: "Plain Text"; mso-style-name: "Plain Text Char"
}
.MsoChpDefault {
mso-style-type: export-only
}
DIV.WordSection1 {
page: WordSection1
}
</STYLE>
<!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></HEAD>
<BODY lang=EN-US bgColor=#ffffff vLink=purple link=blue>
<DIV><FONT size=2 face=Arial>Q Is there a way to measure crown from the bridge
side of the board?</FONT></DIV>
<DIV><FONT size=2 face=Arial>Just Checked the crown on a SnS and had a wonderful
time laying on the</FONT></DIV>
<DIV><FONT size=2 face=Arial>spider supporting the piano. NOT</FONT></DIV>
<DIV>Joe Goss BSMusEd MMusEd RPT<BR><A
href="mailto:imatunr@srvinet.com">imatunr@srvinet.com</A><BR><A
href="http://www.mothergoosetools.com">www.mothergoosetools.com</A></DIV>
<BLOCKQUOTE
style="BORDER-LEFT: #000000 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: 0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px"
dir=ltr>
<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV
style="FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black"><B>From:</B>
<A title=davidlovepianos@comcast.net
href="mailto:davidlovepianos@comcast.net">David Love</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A title=pianotech@ptg.org
href="mailto:pianotech@ptg.org">pianotech@ptg.org</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Tuesday, July 12, 2011 1:06
AM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> [pianotech] Measuring Crown
Radius</DIV>
<DIV><BR></DIV>
<DIV class=WordSection1>
<P class=MsoPlainText>Speaking of special gauges to measure the crown radius,
you don’t need anything that special. Attached are a couple of pictures
of how to use a simple 15” straight edge and a simple formula to figure out
the crown radius on a soundboard. A bit easier than stretching strings
but beware of uneven crown or undulations along the width of the board.
<o:p></o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText>Using a set of calipers (the one pictured is ordinary
but you can use a digital too) measure the width of your straight edge and
then tare the scale on the calipers so that when you set the straight edge
against the panel and measure the distance from the top of the straight edge
to the panel itself you will get a reading of only the difference.
That’s how much crown there is in that segment along the length of the
straight edge. Using simple circle math you can then figure out the
crown radius given the length of your straight edge and the measured
displacement. <o:p></o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText>The formula is:<o:p></o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText>r = ((a^2 – d^2)/2d) + d<o:p></o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText>Where r is your radius, a is equal to ½ of the length of
your straight edge and d is the measured displacement or crown along the
length of the straight edge. You’ll have to be consistent with units of
course. If you want radius in feet then you’ll have to convert your d
measurement to feet. If you want the measurement in meters then you’ll
have to convert your d measure in mm’s (probably) to meters. The table
below gives you an idea though. On my straight edge measuring 15” long
or 380 mm (381 actually but who’s counting). The right hand columns are
the measurements taken and the crown radius is then calculated. A
displacement of .01 inches means a radius of 233 feet or 71 meters. The
board I was measuring in the picture had about this much. I’d say it had
flattened out a bit. <o:p></o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText>BTW there’s a good article on this particular subject in
the February 1984 PTJ written by Bob Hohf. <o:p></o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText>On an unloaded board, what would be the minimum amount
of crown you’d be willing to work with and why? <o:p></o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<TABLE style="WIDTH: 243pt; BORDER-COLLAPSE: collapse; MARGIN-LEFT: -0.75pt"
class=MsoNormalTable border=0 cellSpacing=0 cellPadding=0 width=324>
<TBODY>
<TR style="HEIGHT: 15.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 15.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 170pt; PADDING-RIGHT: 5.4pt; HEIGHT: 15.75pt; PADDING-TOP: 0in"
vAlign=bottom width=227 colSpan=4 noWrap>
<P class=MsoNormal><B><U><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 12pt">To measure
crown radius<o:p></o:p></SPAN></U></B></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 15.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD></TR>
<TR style="HEIGHT: 23.85pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 23.85pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 23.85pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 23.85pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 23.85pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 23.85pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 23.85pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD></TR>
<TR style="HEIGHT: 90.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 90.75pt; PADDING-TOP: 0in; mso-rotate: 90"
vAlign=bottom width=43>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">Ruler
Length mm (15")<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 90.75pt; PADDING-TOP: 0in; mso-rotate: 90"
vAlign=bottom width=63>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">Length x .5
mm<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 90.75pt; PADDING-TOP: 0in; mso-rotate: 90"
vAlign=bottom width=55>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">Radius
(m)<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 90.75pt; PADDING-TOP: 0in; mso-rotate: 90"
vAlign=bottom width=55>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">Radius
(ft)<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 90.75pt; PADDING-TOP: 0in; mso-rotate: 90"
vAlign=bottom width=55>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">Measured
Crown (mm)<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 90.75pt; PADDING-TOP: 0in; mso-rotate: 90"
vAlign=bottom width=55>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">Measured
Crown<o:p></o:p></SPAN></P>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">(in)<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">71<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">233<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.25<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.01<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">36<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">117<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.51<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.02<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">24<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">78<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.76<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.03<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">18<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">58<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">1.02<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.04<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">14<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">47<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">1.27<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.05<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">12<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">39<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">1.52<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.06<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">10<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">33<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">1.78<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.07<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">9<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">29<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">2.03<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.08<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">8<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">26<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">2.29<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.09<o:p></o:p></SPAN></P></TD></TR>
<TR style="HEIGHT: 12.75pt">
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 32pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=43 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">380<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 47pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=63 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">190<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">7<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">23<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">2.54<o:p></o:p></SPAN></P></TD>
<TD
style="PADDING-BOTTOM: 0in; PADDING-LEFT: 5.4pt; WIDTH: 41pt; PADDING-RIGHT: 5.4pt; HEIGHT: 12.75pt; PADDING-TOP: 0in"
vAlign=bottom width=55 noWrap>
<P style="TEXT-ALIGN: right" class=MsoNormal align=right><SPAN
style="FONT-FAMILY: 'Arial','sans-serif'; FONT-SIZE: 10pt">0.10<o:p></o:p></SPAN></P></TD></TR></TBODY></TABLE>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText>David Love<o:p></o:p></P>
<P class=MsoPlainText>www.davidlovepianos.com<o:p></o:p></P>
<P class=MsoPlainText><o:p> </o:p></P>
<P class=MsoPlainText><o:p> </o:p></P></DIV></BLOCKQUOTE></BODY></HTML>