---------------------- multipart/alternative attachment In a message dated 2/27/02 8:00:10 AM Central Standard Time, remoody@midstatesd.net (Richard Moody) writes: > Even a causual reading of Braid White, both in "Tuning and Allied Arts" > (1946) and "Theory and practice of Piano Construction" (1906) reveal more > than just an understanding the theoritical rates to acheive ET. In "Theory > and Practice.... he states, "If we could secure an absolute > standardization of pitch { ie A440 and not A442} it would be possible to > construct tables that would show the exact number of beats that ought to > occur between ann the equally tempered sounds within the whole compass." > (p126). Now this table was published at least as early as the 5th edition > (1945) of "Tuning and Allied Arts". He goes on to say, "In default of > such a method, {beat table} it is necessary to resort to a variety of tests > and to prove the correctness of the tempering of each interval...." (p > 126). He describes 3rds and 6ths as examples. > Regarding "Tuning...." 5th edition ET can be tuned correctly from the > informantion he gives there. I don't now how far back the editions carry > the beat tables, but with beat tables there is no more accurate way to > tune ET unless you want to argue that a tuning machine is better. > Braid White, I suppose, did not explain the 4:5 ratio of contiguous ET > 3rds because it does not exist. The ratio is actually 1.25992105, Which is > sharp of the ratio of 5/4 by 13.686 cents. (1.25992105/1.25) > A-440 is accepted as Standard Pitch but since when did everyone tune every piano to it every time? You can say the same about ET. Show me a single piano that was ever tuned so that all of the beat rates exactly matched what Braide White wrote. If you could (and you can't), I'll tune a piano right next to it that sounds a hell of a lot better, in ET, not to mention EBVT. The last statement made here must be some kind of misunderstanding. Contiguous 3rds in ET will beat at a ratio of 4:5. It is the single most important diagnostic tool when trying to sort out errors when tuning ET. Not understanding this concept will inevitably lead to uneven progressions of 3rds & 6ths. Very often these days, that unevenness is the exact opposite form of a Well Tempered Tuning, hence the term, "Reverse Well". Bill Bremmer RPT Madison, Wisconsin <A HREF="http://www.billbremmer.com/">Click here: -=w w w . b i l l b r e m m e r . c o m =-</A> ---------------------- multipart/alternative attachment An HTML attachment was scrubbed... URL: https://www.moypiano.com/ptg/pianotech.php/attachments/33/af/0f/37/attachment.htm ---------------------- multipart/alternative attachment--
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