Ralph That's an excellent proof, three thirds against a sixth. The A# as the fourth to F cements it in. I usually think of Bb going with F so it took a while to see, yet A# --D is clear as day. . Between the 6th F--D are two thirds that are slower, and the next G#--C is a little bit (.4) faster, than the sixth.. If any of these thirds are off, something is wrong between F and D. I think I will try that in my ET scheme, where I set the four thirds first thing after the two A's. (F--A--C#--F--A440.) Then tune the D to both A's and the F3. Then the Bb (A#) must fit to the F's and make a good third with the D, and is next to the A--C# already tuned. Now it looks like C is next as a 5th of F and a 6th down from A,and E the fourth and fifth of the A's wanting to become C's 3rd. Ab also is begging to be a third down from C and to do the B--Eb third next, voila, six successive thirds. . Richard Moody ps I like the proof of fifths also, especially over 100. Just a wee test mind ye lad. ---------- > From: ralph m martin <rmartin30@juno.com> > To: pianotech@ptg.org > Subject: Re: Another tuning theme > Date: Friday, March 20, 1998 10:30 PM > > Hi Rich > Just noticed your last paragraph. I'm sneaky! I sneak in the A#3 so that > I get approx. 7-8-9 beats for F-A....F-D....D-A#. The F has to make a > good 4th with the A#. Then I continue as written.
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