pin comparisons

[Erwinspiano@AOL.COM]

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In a message dated 1/25/2002 8:58:08 AM Pacific Standard Time, A440A@AOL.COM 
writes:


> Subj:pin comparisons 
> Date:1/25/2002 8:58:08 AM Pacific Standard Time
> From:<A HREF="mailto:A440A@AOL.COM">A440A@AOL.COM</A>
> Reply-to:<A HREF="mailto:pianotech@ptg.org">pianotech@ptg.org</A>
> To:<A HREF="mailto:pianotech@ptg.org">pianotech@ptg.org</A>
> Sent from the Internet 
> 
>    Hi Ed

   I like your common sense approach here. To my mind it doesn't really 
matter how   .    > big the pin is, within reason  a no.1 thru 4 pin as long 
> as they render easily in the    block. know what I mean. If I pin a new 
> block with number ones and they're to tight it 's still hard just as hard 
> to tune as the too tight no.4
> 
>               >>Dale Erwin


> 
> Greetings, 
>    I have just finished Paul's article this month in the journal.  
> Interesting views can be found on all aspects of tuning pins, since we all 
> spend so much time with them,  and I am wondering what the numbers can tell 
> 
> me. Specifically, the difference in tuning control between sizes of pins.  
> I 
> don't think that the increased radius of the larger pin is a significant 
> factor.   I find (admittedly, I am NO math whiz, so if I have missed a 
> step, 
> please disregard everything that follows), that by determining the 
> circumferance of two different sizes of pins, and then relating that to 
> degrees of movement, the differences begin to seem academic. 
>     Here is how it looks to me: 
> 
>    A pin that is .272" in diameter has a cir. of .85408".  This equates to 
> .00237" per degree of rotation.  A .286" pin, by the same calculation has 
> .0025" per degree of rotation. This means that the larger pin will move the 
> 
> string approx.  .0001" more per degree of rotation.  If we consistantly 
> move 
> pins by increments of 6 degrees in fine tuning, then the difference in pin 
> size accounts for maybe .0006" (that is 6 ten-thousandths!!) difference in 
> string length being pulled around the pin.   ( I have omitted the 1/2 
> string 
> diameter from the circumferance equations,since that is a variable on a per 
> 
> string basis, though increasing the diameters of the two calculations would 
> 
> further reduce the percentage difference between them). 
>    Since difference as it relates to tuning is based on changing the 
> tension 
> per degree of rotation, and tension/pitch relationships are functions of 
> the 
> square,  I have to ask just how much difference can be found from  .0006" 
> of 
> string movement, at the pin?  I don't think it would be a discernable 
> quantity. Others?
> Regards, 
> Ed Foote 


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