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<DIV><FONT size=2>If an aural tuner can ask a stupid question: =
does this
mean that a one cent mistake in the top of the piano is much bigger =
than a
one cent mistake in the bottom of the piano? By bigger I mean =
more
likely to be percieved aurally.</FONT></DIV>
<DIV><FONT size=2></FONT> </DIV>
<DIV><FONT size=2>Steve B</FONT></DIV>
<BLOCKQUOTE
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=Wimblees@aol.com =
href="mailto:Wimblees@aol.com">Wimblees@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> Monday, December 23, 2002 =
12:04
PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> Re: Cents to Hertz =
Conversion
Chart</DIV>
<DIV><BR></DIV><FONT face=arial,helvetica><FONT lang=0 =
face=Arial size=2
FAMILY="SANSSERIF">In a message dated 12/23/02 12:25:08 PM Central =
Standard
Time, <A =
href="mailto:joegarrett@earthlink.net">joegarrett@earthlink.net</A>
writes:<BR><BR>
<BLOCKQUOTE
style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #0000ff 2px =
solid; MARGIN-RIGHT: 0px"
TYPE="CITE">Alan,<BR>Thanks for the link! Nice to have. One thing =
struck me:
As this is a chart<BR>to convert Cents TO Hertz,(CPS), there is =
nothing that
shows the exact cents<BR>to achieve frequencies such as 435cps or =
425cps. I
wonder if there is a<BR>reverse of this chart somewhere?<BR>Oh, as =
an aside,
on the bottom of the chart is the statement that this chart<BR>is
copyrighted by "International Piano Suppy". Who/what is =
that?<BR>Best
Regards,<BR>Joe Garrett, RPT,
(Oregon)<BR><BR></BLOCKQUOTE><BR><BR>Joe<BR><BR>Technically, the chart =
doesn't
convert cents to Hertz. You cannot convert cents to Hertz, because =
cents are
not a frequency. What this chart is showing is at what frequency, (or =
Hertz),
a particular note is beating a certain number of cents above or below =
that
particular note. If you look at A, and zero cents, it shows the =
frequency, or
Hertz, is 440.00. (It is presumed that A on this chart is A4.) Then =
for every
cents below A, it give the frequency. <BR><BR>Cents are =
the
measurement between intervals, and there are 100 cents between each =
interval.
There are 100 cents between A0 and A#0 and between B7 and C8, and =
between
every interval all the way up and down the piano. The higher you go up =
the
scale, the difference in the number of Htz between notes gets greater =
and
greater. The greater the difference, the fewer cents there will be =
between
beats. And the opposite, there are fewer beats difference between =
intervals as
you go down the scale, so there will be more cents between beats. =
<BR><BR>That
is what this chart illustrates. A 440 is at 440.000 Htz. A# is at a =
frequency
of 466.164. That mean A# beats 26.164 faster than A. There are 100 =
cents
between A and A#. That means the difference between each beat is about =
3.82
cents. G# beats at 415.305 beats per second, which is 24.95 beats less =
than A.
There also 100 cents between G# and A. But because it is lower, there =
are more
cents between beats. (4.01 to be exact). <BR><BR>So if you =
want
tune a piano to A435, considering there are about 4 cents difference =
between
beats at A4, you multiply 5 beats times 4 cents, and you get 20 cents. =
If you
want to go down to A425, you multiply 4 cents time 15 beats, or 45 =
cents.
<BR><BR>According to the chart, the closest you can get to A 435 is =
435.197 at
19 cents below A or 434.916 at 20 cents below A. So if you want =
to get
super accurate, you'll have to off set your machine to 19.5. But I =
don't think
any one will hear the difference if you play it safe at 19 or 20 cents =
below
A. <BR><BR>Quite frankly, someone spent a lot of time on a chart that =
is
virtually useless. Why would any one want to know the frequency of =
D# 50
cents below pitch? Whoever put this together at the International =
Piano Supply
Company either had too much time on their hands, or is trying to =
impress piano
tuners that they know something others don't. But as far as I'm =
concerned,
this is useless information. <BR><BR>Wim
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