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<DIV>Hi Bob,</DIV>
<DIV> </DIV>
<DIV>Thats what i do also first. (A4-F2, 2 8aves +m3rd)</DIV>
<DIV>I proceed then with the sixth F2-D3 to the same
beatrate, what is resulting in a pure 12th in D3-A4.</DIV>
<DIV>Spacing this 12th equally results the P12 tuning.</DIV>
<DIV> </DIV>
<DIV> </DIV>
<DIV>regards,</DIV>
<DIV> </DIV>
<DIV>Bernhard</DIV>
<DIV> </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=BobDavis88@aol.com
href="mailto:BobDavis88@aol.com">BobDavis88@aol.com</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> Friday, August 20, 2004 =
8:52
AM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> Re: setting pitch with =
a
fork</DIV>
<DIV><BR></DIV>
<DIV>
<BLOCKQUOTE
style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: blue 2px =
solid"><FONT
face=Arial size=2>"I strike the F below the A and listen to the =
fork A along
with the F. I count those beats. Then I remove the fork and play the =
F and
the A and count those beats. "</FONT></BLOCKQUOTE></DIV>
<DIV>I don't know if the writer really meant literally "the F below =
the A",
but I also saw a reference in another post to a "F2-A3" comparison =
with the
fork, so I just wanted to make it clear that although F2, F3, and =
F4 will
all beat against A4, only the F2 [2 8ves + M3rd] will give an =
accurate
comparison between an A4 fork and the A4 note on the piano. Here's =
why:</DIV>
<DIV> </DIV>
<DIV>The 5th partial of F2 is approximately equal to the fundamental =
of A4. In
a tuned piano, it will be about 4 beats flat of both the fork and the =
note,
but it can be set anywhere comfortable. I like 5 or 6 beats even =
better.
When A4 on the piano is in tune with an A4 fork, =
the beat
of either against the F2 beat-producer note will be the same. =
This is
such a great method because, even as the notes become in =
tune, the beats
remain in a comfortable range [4 to 6/sec] in which the ear is =
amazingly adept
at comparison. On the other hand, in trying to match a note directly =
to a
fork, the closer the match, the slower the beat. And, it never becomes =
completely clean, because of beating between harmonics of the source =
and
"inharmonics" of the piano. Just last Saturday, our Chapter set =
an A
as a group by the F2-A4 method, and were very quickly able to =
agree on a
setting which we then measured electronically as being only 0.2 cents =
off.
That's not bad. By the way, we used an AccuFork. We had a =
grand with
a sostenuto, which you can use to hold down the F2, =
but I also
demonstrated playing it and jamming a mute between it and F# to =
hold it
down, then tuning the A4.</DIV>
<DIV> </DIV>
<DIV>The 5th partial of ~F3~ on the other hand, is ~A5~, which matches =
the
desired A4 at its SECOND partial, A5 [a 5:2 match]. The A5 =
produced
by the fork is harmonic, but that produced by the piano is a little =
sharp.
Matching this coincidence causes the piano's A4 to be slightly flat. =
F4-A4 [a
5:4 match, coincident at A6] would produce an even flatter A4, with =
equal
beats between the fork and piano.</DIV>
<DIV> </DIV>
<DIV>I hope that's clear. We're probably all on the same page, but I =
just
wanted to make sure everyone out there knows why only F2 works
accurately.</DIV>
<DIV> </DIV>
<DIV>Bob Davis</DIV></BLOCKQUOTE></BODY></HTML>