Good explanation, thanks Ron Stephen -----Original Message----- From: Ron Nossaman <RNossaman@KSCABLE.com> To: pianotech@ptg.org <pianotech@ptg.org> Date: Thursday, 29 March 2001 12:25 PM Subject: Re: Itty Bitty Baldwin >You'll want to check out Theory and Practice of Piano Construction, by >William B. White for better detail, but essentially, speaking length >progressions in pianos are based on logarithmic progressions - sort of. >Suppose you wanted a C-8 length of 52mm, with a (semi) logarithmic >progression to 186mm at C-6. EXP(LN(52)+((88-present unison)*0.0531) will >get you there. Increasing the 0.0531 figure will make the scale longer, and >decreasing it will make it shorter. This can be done anywhere in the scale >with your choice of starting and ending lengths, depending on what sort of >room you have and the string tensions you want. Note that the last octave+ >of a cheap little spinet can have speaking lengths identical to the last >octave+ of a 9' grand, but the length progression rates change rather >dramatically from there on down. > >I hope than makes some sense. > >Ron N >
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