Julia - Mathematical precision is impossible because of inharmonicity differing in each piano. Theoretically you can calculate harmonics using the ratios, but in fact none of them will match reality. And anyway, nothing past a tenth of a cent will make a difference to the ear. Although I did once know a girl who could reliably tell if you put one grain of sugar in her coffee. With A=440, the theoretical frequencies of the Vallotti from C5 down to C3 are thus: 525.03 492.77 467.75 440.00 415.77 392.88 369.58 350.81 329.26 311.83 294.00 277.18 262.51 246.38 233.87 220.00 207.89 196.44 184.79 175.40 164.63 155.92 147.00 138.59 131.26 The Rollingball charts display the major triad, which is composed of M3, m3 and 5th. Let me know if there is anything else I can help with. Jason | || ||| || ||| || ||| || ||| || ||| || ||| || ||| jason's cell 425 830 1561 http://www.linkedin.com/in/jasonkanter | || ||| || ||| || ||| || ||| || ||| || ||| || ||| On Tue, Dec 23, 2008 at 3:55 PM, <KeyKat88 at aol.com> wrote: > Greeetings, > > > In calculating piano note frequencies, When I use 1.059463094 looking in > the Reblitz book, my answers are alittle off (at ca. some 2nd & n3rd places > to the right of 0) according to his answ3ers. > > Just how many decimal places is proto cal /good to use here? Also, should > harmonics be calculated the way we were taught in Physics class namely, by > multiplying 440 by 3/2 and 4/3, or should the 1.0954.... be used for > calculating them? My guess that to use the fractional ratios is to mix > Ptolomaic method with *moderne *ET method, and mixes "apples and oranges", > (or rather, clementines at this time of year) > > In the long run, I am trying to calculate the frequencies of the Valotti > temperament, as shown on Rollingball, I just want to see them, and then > play with them. I wonder why Rollingball charts give m3, M3, & P5's but * > NO P4ths* to tune by. P4ths are my buddies, they whisper in my ear if its > going right or wrong. > > Thank You, > Julia > Reading, PA > > > > ------------------------------ > One site keeps you connected to all your email: AOL Mail, Gmail, and Yahoo > Mail. Try it now<http://www.aol.com/?optin=new-dp&icid=aolcom40vanity&ncid=emlcntaolcom00000025> > . > -------------- next part -------------- An HTML attachment was scrubbed... URL: <http://ptg.org/pipermail/pianotech_ptg.org/attachments/20081223/cf913509/attachment.html>
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