<font><font face="verdana,sans-serif">All right, let me weigh in here briefly. I really like the metaphors of using a micrometer to measure a marshmallow, or finding the best tape to stick the wind to a shadow. Sure, the physical world does not provide us the ability for that much precise control. But the design of temperaments is a mathematical thing before it is a practical activity, and while it remains in the realm of math, the additional precision helps make things "work out" theoretically. I doubt anyone who designs temperaments has the conviction that the degree of precision actually makes it into the instrument for more than perhaps five seconds per interval, if that. </font></font><div>
<font><font face="verdana,sans-serif"><br></font></font></div><div><font><font face="verdana,sans-serif">That said, the math itself can be really beautiful. I have been working on finding temperamental relationships that provide a high degree of "beat synchrony" -- that is, for example, when you play a major triad, the inner thirds (major third and minor third) beat in time with each other, either 1:1 or 2:1 or 3:2, creating a very pleasing tremolo-like pulsing sound. I'm sure you all have experienced this by happenstance with some chords, and it is in fact possible to design a temperament in which this phenomenon happens a lot. But the math goes to two decimal points (at least) to find this exactitude, and I don't dream that the phenomenon will remain for long or even be noticeable much. Still, the intellectual beauty is worth pondering. And in my experience, a sensitive artist can be very deeply moved by the quality of the tuning, hearing musical depths that he or she never before experienced.</font></font></div>
<div><font><font face="verdana,sans-serif"><br></font></font></div><div><font><font face="verdana,sans-serif">I might say that Robert Wendell has designed a few temperaments that are masterpieces from this point of view. </font></font>
<span style="font-family:verdana,sans-serif">I'll post more about this at another time.</span> <font><font face="verdana,sans-serif"><br></font></font><br><div class="gmail_quote">On Mon, Apr 30, 2012 at 9:13 AM, Dale Erwin <span dir="ltr"><<a href="mailto:erwinspiano@aol.com" target="_blank">erwinspiano@aol.com</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><font color="navy" face="Comic Sans MS, sans-serif"><font color="navy" face="Comic Sans MS, sans-serif"><pre style="font-size:9pt">
<tt>can perceive in 1/10's of a cent deviations? <br>
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Joe<br>
No problem buddy<br>
Dale<br>
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<div style="clear:both"><font size="1" color="royalblue"><b><font face="Georgia, Times New Roman, Times, Serif"><font color="black"><font color="mediumblue" face="Comic Sans MS, sans-serif">Dale Erwin... RPT</font><br>
</font></font></b></font><font color="darkgreen"><span style="font-style:italic"><b><font size="1"><font color="black"><font color="blueviolet"><font color="black"> <font color="black" face="Comic Sans MS, sans-serif">Mason & Hamlin</font><font face="Comic Sans MS, sans-serif">/Steinway/</font><font color="black" face="Comic Sans MS, sans-serif">U.S pianos</font><font face="Comic Sans MS, sans-serif"><br>
</font></font></font></font><font color="black" face="Comic Sans MS, sans-serif"><a href="http://www.Erwinspiano.com" target="_blank">www.Erwinspiano.com</a></font><br>
<font color="crimson" face="Comic Sans MS, sans-serif"><a href="tel:209-577-8397" value="+12095778397" target="_blank">209-577-8397</a></font><br>
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<div style="font-size:10pt;font-family:arial,helvetica">-----Original Message-----<br>
From: Joseph Garrett <<a href="mailto:joegarrett@earthlink.net" target="_blank">joegarrett@earthlink.net</a>><br>
To: pianotech <<a href="mailto:pianotech@ptg.org" target="_blank">pianotech@ptg.org</a>><br>
Sent: Mon, Apr 30, 2012 7:58 am<br>
Subject: [pianotech] Cents deviation & tuning charts<br>
<br>
<div style="font-size:12px;font-family:Tahoma,Verdana,Arial,Sans-Serif;margin:0px">
<pre style="font-size:9pt"><tt>HEY! What is with you guys? I made a comment about the tuning charts by Ron
Koval and all of you jumped on this indignant bandwagon of what people
can/cannot percieve in 1/10's of a cent diviations? Slow Day? Feeling the
need to be jerks? What's with that? Sheesh!
Joe
Joe Garrett, R.P.T.
Captain of the Tool Police
Squares R I
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</div></div></font></font></blockquote></div><br><br clear="all"><div><br></div>-- <br><div style="text-align:left"><b>| || ||| || ||| || ||| || ||| || ||| || ||| || |||</b></div><div style="text-align:left">jason's cell 425 830 1561</div>
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