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<DIV><FONT face=Arial size=2>Hello Jack.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>I put the formulas into a spreadsheet, and here is
what I got.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>I analysed the scaling of a piano whose A4 strings
are 357 mm long and 0,850 mm diameter. More than the right half of the
scaling is pure pythagorean with an octave length ratio of 2.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Suppose you use Röslau wire, here are some numbers
:</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2> tension in one
string at 440 Hz : 44.8
Kg at 435 Hz : 43.8
Kg</FONT></DIV>
<DIV><FONT face=Arial size=2> total tension on the
frame
11.141
Kg
10.889 Kg</FONT></DIV>
<DIV><FONT face=Arial size=2> % of breaking
strain
33
%
32 %</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Suppose you use Pure Sound wire</FONT></DIV>
<DIV><FONT face=Arial size=2>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2> tension in one
string at 440 Hz : 45.1
Kg at 435 Hz
: 44.1 Kg</FONT></DIV>
<DIV><FONT face=Arial size=2> total tension on the
frame
11.212
Kg
10.958 Kg</FONT></DIV>
<DIV><FONT face=Arial size=2> % of breaking
strain 40
%
39 %</FONT></DIV>
<DIV> </DIV>
<DIV>So indeed, tension variations on the frame are not a concern,
methink.</DIV>
<DIV>Now, the higher you tune one same string, the less inharmonicity you can
expect, but also less sustain. While difficult to realize on one single
string, I believe that when playing the piano in its whole you certainly notice
the difference, both in sound feel and touch feel.</DIV>
<DIV> </DIV>
<DIV>Best regards.</DIV>
<DIV> </DIV>
<DIV>Stéphane Collin.</DIV></FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2></FONT> </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>From:</B>
<A title=JackHouweling@dccnet.com href="mailto:JackHouweling@dccnet.com">Jack
Houweling</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A title=pianotech@ptg.org
href="mailto:pianotech@ptg.org">pianotech</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Wednesday, July 26, 2006 7:01
AM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> A 435 or A 440 ?</DIV>
<DIV><BR></DIV>
<DIV><FONT face=Arial size=2>Hello</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>I am working on a Mason and Risch grand
piano and the plate has a stamp that says " International
Pitch A 435" .</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Is it best to tune this piano to A 435
?</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>The mother tells me the daughter has perfect
pitch. She is away at school so I cannot talk to her. Would someone with
perfect pitch be bothered by anything other than A 440?</FONT> </DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Jack
Houweling</FONT></DIV></BLOCKQUOTE></BODY></HTML>