I stand by my statement: "Same thing with the P12th ET." Brekne's way of tuning a P12th temperament may very well be to "actually tune Perfect 12ths", but I would suggest that a real-world approach to P12th tuning would and should allow some modifications to yield the most pleasing results. Kent On Mon, Oct 13, 2008 at 5:54 PM, Richard Brekne <ricb at pianostemmer.no>wrote: > I knew there was something about this sentence that bothered me... and I > just hit on it. > > > When we tune 12 tone to the octave ET we modify the tuning for > aesthetic reasons and to deal with the change in inharmonicity > across the scale and to > tune the treble as sharp as we like to hear. > > Same thing with the P12th ET. > > Wrong... its not the same. The whole point of tuning a P-12th tuning is to > actually tune Perfect 12ths. Indeed... that orientation IS the stretch > priority and our personal preferences for treble stretch are disposed of. > The reason the P 12th works like it does in the piano is that it takes each > instruments inharmonicity into consideration on the fly. You tune D3's 3rd > partial to 440... so A4 gets its fundamental to 440. You read the resultant > 3rd partial for A4 and you tune E6's fundemental to that. B7's fundemental > is then already decided in similar fashion. And of course... what these all > turn out to be is different for each piano. Tuning the treble as sharp as > we like to hear simply defeats the purpose and the effects of tuning to a > strict perfect 12th priority scheme. > > Cheers > RicB > > -------------- next part -------------- An HTML attachment was scrubbed... URL: https://www.moypiano.com/ptg/caut.php/attachments/20081013/b0d7c456/attachment.html
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