Ric, thank you for your merits. But ;) The 3 note frequency modulation of a chord consisting of an octave and inner upper fifth and octave and inner lower fifth for temperament setup and tuning up the treble and down the bass is the main base of the OnlyPure method. Whithout using this 3 note chord frequency modulations, you cant get these chords to the same clean level by using 2 note intervals sequentially. This is as impossible as tuning a 2 note interval pure by tuning the 2 notes sequentially and not together with the judgment of the frequency modulation of the 2 notes. Be sure there is a difference to usual temperament setting. Maybe one cannot here it clear enough on a 16 bit digital recording. By the way, if you have a concert grand, with lengths progression nearly doubling per octave in some regions (for example on a Steinway D) choosing no matter what partial pair conicident (as the 6:3 octave in your ETD solution) will lead you always to a pure octave, since the resulting inharmonicity slope makes all octave partial pairs coincident in this case. If tuning P12 equal temperament, one must let fall the pure octaves completely down, since the stretch is needed to phase out with the fifths in the 3 note chords. So forget to try to get any of the octave partial pairs coicident. Tuning really pure twelfths ET is the choice to adding the pythagorean comma to the octaves side. best regards, Bernhard Ric Brekne wrote: > Very nice sounding B. Nicely voiced indeed. The tuning > is clean and > has seems to reflect that sense of stretch I've become > accustomed too > when tuning P 12ths priority instead of octaves priority. > Outside of > that I cant honestly say that the tuning is in any way > superior to any > other fine quality tuning I've heard. Pianos are supposed > to sound this > clean when tuning on this level. If a concert tuner cant > manage this, > then he/she is soon out of concert work.... yes ?? > > > Cheers > RicB > _______________________________________________ > pianotech list info: > https://www.moypiano.com/resources/#archives >
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