<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1">
<META content="MSHTML 6.00.2800.1106" name=GENERATOR></HEAD>
<BODY>
<DIV><SPAN class=238555716-25022003><FONT face=Arial color=#0000ff size=2>My
question would be: within the octave/s that you are experimenting with have you
tuned all of the other notes? If so do the thirds, fourths, fifths, sixths fit
nicely? If not then your stretch would need to be modified. The introduction of
contiguous major thirds was a wonderful method of demonstrating just how much an
octave would need to be stretched. If you are working on a spinet or a small
poorly scaled piano there will be little chance of sorting this all out.
</FONT></SPAN></DIV>
<DIV><SPAN class=238555716-25022003><FONT face=Arial color=#0000ff
size=2>Another idea here is: If you try to tune an octave as you progress up
from the mid range and you tune to "minimize octave beating" as suggested,
you may find that you have made the 2:1 partial quiet as this tends to have
the most volume in this part of the piano. Then you will soon discover that your
octave is too narrow.</FONT></SPAN></DIV>
<DIV><SPAN class=238555716-25022003><FONT face=Arial color=#0000ff size=2>Gene
Nelson</FONT></SPAN></DIV>
<DIV><SPAN class=238555716-25022003><FONT face=Arial color=#0000ff
size=2></FONT></SPAN> </DIV>
<DIV><FONT face=Tahoma><FONT size=2><SPAN class=238555716-25022003><FONT
face=Arial color=#0000ff> </FONT></SPAN></FONT></FONT></DIV>
<DIV><FONT face=Tahoma><FONT size=2><SPAN
class=238555716-25022003> </SPAN>-----Original Message-----<BR><B>From:</B>
D. B. Stang [mailto:stangdb@voyager.net]<BR><B>Sent:</B> Tuesday, February 25,
2003 08:39<BR><B>To:</B> pianotech<BR><B>Subject:</B> Stretch: What's it all
about?<BR><BR></DIV></FONT></FONT>
<BLOCKQUOTE>I am kind of a newbie, so if this topic is a dead horse that's
already been beaten a few times, forgive <BR>me. <BR>What I would like to do
is briefly describe my understanding of stretch and ask for comments about
<BR>whether I am getting the idea or not. <BR>Randy Potter states the
following: "We are simply trying to match our tuning to the amount of
<BR>inharmonicity in the piano". (Randy Potter course book, section 1.6).
"<I>You</I> do not put <I>any</I> stretch in <BR>the piano. The piano told you
how much to stretch it. ... using 17ths and 3: and 4: octave tests, you
<BR>would end up with a perfectly stretched piano". (section 1.7) What
he is saying is, minimize <BR>octave beating, and then a piano is stretched
correctly. <BR>Well, recently I bought the Reyburn Cyber Tuner, which has a
"Octave Tuning Style" feature, which <BR>gives the user a range of 9 levels of
stretch you can choose from; "1" being "pure" (beat speed for <BR>the 4:2
octave at A2-A4 = 0), and "9" (beat speed = 0.8/sec.) I was immediately
confused because <BR>this contradicts Potter, who says a piano is tuned
"right" when octave beating is minimized, period. <BR>Meanwhile, I can
remember a physics professor explaining that human hearing is "imperfect"
<BR>because when we hear a pure octave, we think it's a little bit narrow, so
pianos are stretched in <BR>order to make octaves sound more correct to the
human ear. <BR>No one has ever explained all this to me succinctly. What I
have concluded in my own little <BR>pea-brain is that there are two distinct
kinds of stretch: what I will call "objective" and "subjective". <BR>The
objective stretch is that which compensates for a piano's inharmonicity.
<BR>The subjective stretch is the amount <I>beyond</I> the objective part,
which makes it sound good to the <BR>listener. So when people use the word
"stretch", they're not always talking about the same thing; <BR>sometimes they
mean the objective part of it, sometimes they mean the subjective part of it,
<BR>sometimes they mean both parts, and sometimes they don't know <I>what</I>
they're talking about. <BR>Right ?? <BR>Any guidance on this subject is
welcome. <BR> <BR> <BR> <BR> </BLOCKQUOTE></BODY></HTML>