Thanks Richard, That is enlightening for me... David I. ----- Original message ----------------------------------------> From: Richard Brekne <richard.brekne@grieg.uib.no> To: PTG <pianotech@ptg.org> Received: Mon, 01 Jul 2002 23:05:18 +0200 Subject: Re: Peterson 490ST Strobe tuner....good? >The best lesson I can suggest is by taking Tunelab 97 and do the following >simple exercise. >Tune A4 (1) to 440. Then set the tuning partial to read the 3rd partial, and >while playing the A4 adjust the offset on Tunelab so that the phase display >stops. Note the frequency in Hz on a piece of paper. Then tune A3 so that it >stops the dial. This gives you a perfect 6:3 octave type. Now set Tunelab to >read the 3rd partial of A3 and adjust the offset while playing A3 til the >display stops again, and note this frequency down as well. It will be >approximately half of the first frequency you noted. >Now divide the frequency for A4(3) by that of A3(3). This will yeild a number >just a tad over 2... somthing like 2.00582... or whatever... just barely over >2. This represents the inharmonicity spread for the 3rd partials of these two >notes with same tuned as a perfect 6:3 octave type. >Take the 12th root of this number. Then starting with A3 (3) mulitiply the >frequency times this 12th root of just over 2 to find the frequency for the >next note up. Continue such until you reach A4 again. >The resulting curve is a linear perfectly spaced division of the 3rd partials >of all the notes from A3 to A4. And as a temperament octave it actually works >quite well most often. >Ok... this is the basic curve... and things get a bit more complicated after >that as we actually have several things to take regard to... several partials >each with there own theoretical curves that dont match up neccessarilly so well >when we tune to just one... and well a whole bunch of other things we try to >compromise together to come up with a "best" solution. >But this is as good a place as any to start learning about how RCT, SAT, and to >some degree Tunelab work. I would suggest you do this a few times...and use >Tunelabs numerical editor to accompish the same thing as manually finding the >12th root of 2(+ the spread) to get all the frequencies for the temperament >octave. >When you have a good feel this much start asking more questions. We have >several enthusiasts here and I am sure between us you will find some good >answers to most of your questions as you find out more. >Cheers >RicB > Charles Neuman wrote: >>Richard, or anyone, >> >>I'm curious what algorithms are used to calculate a tuning curve based on >>harmonic measurements of 1 or more notes. Is that information available? >> >>I'd like to try to do this manually sometime: I'd measure the offsets of >>each harmonic of the test note(s) (using an ETD) and then use that info to >>calculate the tuning curve. I'd like to try different methods. >> >>I suppose I could come up with a way to do this, but I'm sure people have >>spent a good deal of time thinking this through thoroughly. Anyone know if >>these algorithms are published anywhere? >> >>Charles Neuman >Richard Brekne >RPT NPTF >Griegakadamiet UiB
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