Careful I am being sent to Norway to fix you, not get your dried Cod and defend yourself. <G> Anon. At 06:31 PM 8/8/02 -0400, you wrote: >Susan writes: >P.S. All this chasing after .15-cent-perfect exactness of > >equal temperament reminds me of a statement by a very fine > >professor of ceramics in the 1970's, when teaching people > >to use a potter's wheel: "A perfect pot is a dead pot." > > Hmm, since I got my BFA in ceramics, and spent many smokey nights on the >potter's wheel, l feel compelled to say, "there is no such thing as a >perfect pot....". I think this can apply to ET. There is a limit to what a >listener can distinguish, so once you have every third beating no faster than >the one above, nor slower than the one below, there are very few people that >can tell the piano is not tuned "equally". > > >Now, when one tunes an HT, the "distant" keys get further > >and further toward the spicy side, and the "simple" keys > >are bland, right? And the progression is even? That is, > >A major would be tangier than D major, and E major would > >be tangier than either? > > "Tanginess" depends on how a pianist uses the resources. As Enid Katahn >has said, "You can use the tempering to make things sound harsh, or you can >use it to make things expressive". The progression is not always even, (the >Young, and Coleman tunings are extremely symmetrical, but the Young is the >most "even", in that the steps between keys are all the same size). > > >Two questions, really: > > > >First of all, why is it assumed that all HT's will > >center (and ALWAYS HAVE centered) on C? Or isn't > >that assumed, but no one has bothered to > >mention other options in my hearing? > > Virtually every documented WT follows the way key signatures go, ie, the >keys of C and Am have no accidentals, so their tonic thirds are the >smoothest. The key of F# has the most accidentals, so its tonic third is the >widest. The Vallotti is one that centers on F, but represents a minority. > > >Secondly, if people are aiming at Equal, and make a few > >little "mistakes", or slight inexactitudes, small enough that > >they aren't aware of them, WHY (she asked, incredulously) > >would one assume that these errors would line up perfectly, > >so that the keys progressed evenly but BACKWARDS? > > Random errors will not line up at all. > > > >Also, it seemed to me, when I first heard about Reverse Well, > >that if it happened at all, it would likely happen with > >a fourths-and-fifths tuning. But, I feel, most of us use > >something more sophisticated these days, so we just don't > >chase around the circle of fifths. So why would any small > >discrepancies from a scientifically "PERFECT" ET end up > >with a backwards slant? > >They don't. However, an F temperament, such as we learned at North Bennett, >uses fourths down, fifths up, with M3-m3, M3-6th tests. I don't think you >would want to call it "unsophisticated", in that it enables me to create an >octave in which ALL intervals progress evenly in their beat rates. > The "backward slant" can occur when a tuner attempts to tune the first >four intervals in the typical Holder bearing plan too consonant, making the >first encounter with a M3(the C-E) wider than it should be. > >David adds: > >>I think the reverse well fear mongering is so much politics. > > I agree. There is only one person I have ever heard use the term to >describe a temperament, and it seems to fall into the "straw man" category. >Regards, >Ed Foote RPT Roger
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