This is a multi-part message in MIME format. ---------------------- multipart/alternative attachment Ok, here goes: I'm going to paraphrase David Stanwood from memory. Scary = thought. I've gone to his classes several times and my recollection is that his = SW curves are not based on any mathematical principle. His SW curves do = not have anything to do with the original hammer weights. But rather, = his SW curves were developed from analyses of THOUSANDS of "very good" = pianos. Over a period of ten (or more???) years, David sought out high quality, = good sounding pianos. "Good" meant good tonal qualities along with = evenness along the entire scale. He would borrow the action from these = pianos and analyze the SWs (among other action parameters also). David is a smart guy, with good ears, and I suspect a good judge of what = a good piano sounds like. IMHO, being that his curves were likely = developed mostly from Steinways, and the fact that your piano is a = Steinway clone, I have little doubt that it would be a better basis to = base your SWs on a Stanwood curve rather than where some hammer maker = happened to run a saw across a set of hammers. I've done several pianos to his curves and have been thrilled with the = results. Ric B. and others could offer more experienced advice than I as = to which curves to follow. However, with your 9-foot piano, I would = imagine you will want one of the heavier curves. Terry Farrell ----- Original Message -----=20 From: Sarah Fox=20 To: Pianotech=20 Sent: Sunday, August 22, 2004 1:30 AM Subject: SW heresy? Hi all, Thanks for the advice about techniques to even out the SW curve! That = should give me a variety of techniques to use/combine in order to even = out the jags. But the question is one of what my target curve should *really* be. = Hmmmm.... My thoughts: The unmodified SW curve is obviously very linear. (Yes, I know what = linear means. I "minored" in mathematics, sort of -- except that my U. = didn't officially recognize minors). Stanwood's curves, OTOH, are all = concave downwards. I was advised off list that I shouldn't force the hammers to = artificially conform to a standardized Stanwood curve but to simply even = out the jags to make the action smooth from bottom to top. There's = something to be said for this idea. But as I got to thinking about the SW curves, I was wondering, where = do they REALLY come from? That is, where does the shape come from? I = suspect the hammer manufacturing people might be able to enlighten me as = to this. (Ray???) I'm *guessing* that the felt is denser than the = molding, and when the hammer becomes skinnier, it loses more felt than = molding, resulting in a more precipitous dropoff in weight at the higher = end. This would occur with a constant hammer length and a linear = variation in hammer and molding (and felt) width. Am I anywhere close = on this idea??? Contrast this function with other functions that might actually relate = to optimal hammer mass: String length and mass both decrease with the = note number, with a function that is concave upwards. Note frequency = increases with a function that is concave upwards. Note period (inverse = of frequency) increases with a function that is concave upwards. The = Stanwood curve seems rather meaningless with regard to any of these = functions. For instance, it might be good to match hammer mass to = string mass by some proportion. Right? As the scale goes up, string = length and mass approach an asymptote of zero. Therefore, shouldn't = hammer mass approach an asymptote of zero? Instead, the curve starts = taking a dive in the treble. If the scale went up well past 88, hammer = mass would eventually crash to zero. Because these curves do not have = the same form, the relationship between hammer and string mass is = anything but constant. That doesn't make sense. So is this something that is the way it is just because of tradition = -- because the cauls are built that way, and that's what ya' get? =20 Now that I look at my linear SW curve (with jags), I'm wondering if = this isn't REALLY a closer match to something meaningful (like string = mass) than the idealized Stanwood curves. Any thoughts, y'all? Peace, Sarah ---------------------- multipart/alternative attachment An HTML attachment was scrubbed... URL: https://www.moypiano.com/ptg/pianotech.php/attachments/36/2f/55/03/attachment.htm ---------------------- multipart/alternative attachment--
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