Hi, I am assuming that the piano is at least close to pitch and not 100 cents low <O(: Joe Goss RPT Mother Goose Tools imatunr@srvinet.com www.mothergoosetools.com ----- Original Message ----- From: "Alan Barnard" <tune4u@earthlink.net> To: "ed440@mindspring.com, Pianotech" <pianotech@ptg.org> Sent: Monday, January 09, 2006 8:44 AM Subject: RE: Alan and David on F3/A4 > Glad to help, but please post this slightly corrected version. I got out > the ol' Coleman Beat Locator cards and found a couple of corrections to > make: > > When you tune with a fork, electronic or otherwise, you are tuning A4 to > the fundamental of that fork, i.e., 440 bps. > > F2 works for the test because the 5th partial of F2 is A4, where it > coincides with the fundamental of the fork. > > B1 works because the 7th partial of B1 is A4, where it likewise coincides > with the fundamental of the fork. > > F3 is a poor choice because it has no partial at A4! It has a 5th partial > that coincides with A5 which is, of course the 2nd partial of A4. > > So if F3 is used, the beats that you are counting are at A440 (the fork) > and A880+, i.e., the inharmonic 2nd partial of A4. > > Therefore, if you very accurately match the beat rates of F3-Fork and > F3-A4, you will tune A4 sharp every single time! > > The Yamaha example doesn't really bear on this discussion because they are > talking about an altogether different approach (and shouldn't the #1 > example be tuning A49 instead of A47?). F3 is only mentioned in relation to > the 3rd-10th test of the octave, which is only to ensure that you have the > A3-A4 octave expanded, or at least not contracted, which has nothing to do > with the dead-on-ness of A4 at 440 bps. > > Here is another logical way of seeing this. When we tune an interval 5th, > we are comparing a 3rd partial to a 2nd partial. Likewise, when tuning an > interval 4th, we are comparing a 4th partial to a 3rd partial. In the case > of setting A4 to the fork, we are tuning a UNISON where the interval ration > is 1:1 and we must, therefore, compare beat rates arising from the exact > same partial. Because the fork is only sounding (for all practical > purposes) at its fundamental, we must use comparison intervals that have a > coincident partial at A4. Hence B1 or F2. > > But not F3; it has no coincident partial at A4. > > Alan Barnard > Salem, Missouri > > > > [Original Message] > > From: <ed440@mindspring.com> > > To: <pianotech@ptg.org> > > Date: 01/09/2006 6:58:13 AM > > Subject: Alan and David on F3/A4 > > > > Alan Barnard and David Renaud: > > > > Your posts on this topic are beautifully written. > > Thank you. > > I hope you don't mind if I repost them to ExamPrep. > > > > Ed Sutton > > _______________________________________________ > > pianotech list info: https://www.moypiano.com/resources/#archives > > > _______________________________________________ > pianotech list info: https://www.moypiano.com/resources/#archives
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