All who are interested on the theoretical background, i have a site at: www.piano-stopper.de/homepe.htm regards, Bernhard Stopper ----- Original Message ----- From: "Richard Brekne" <Richard.Brekne@grieg.uib.no> To: "Pianotech" <pianotech@ptg.org> Sent: Thursday, September 23, 2004 10:03 AM Subject: Re: Octave Tuning > Hi John. > > Yes, tune the entire tenor and treble outside of my temperment area to P > 12ths. I start with D3 - A4 as a P 12th, fit A3 appropriately inbetween > and temper that whole section with those three as anchors. From then, > D#3-A#4 and upwards everything is tuned to perfect 12ths. Kinda > eliminates the need for any generated tuning curve in the first place as > you can direct reference the 3rd partial of the lower note all the way > and insure an exactomundo match when tuning the fundemental of the 12th > above. > > Actually... this way of tuning is not all that new. I know of at least > 3 who have offered some information about this from 15 - 20 years ago, > and it wouldnt suprise me at all to discover much earlier musings on the > subject matter. The most thorough mathamatical treatise on the subject I > am aware of is from Bernhard Stopper from around 15 years back. > > Interestingly... most of these and indeed my own <<discovery>> of the > P12ths tuning seem to have come about rather independent of one > another. Probably because of the overall dominance of the octave > tuneing perspective, and because of the fact that when first attempted > the P 12ths tuning is suprisingly... for not to say amazingly... > effective and easy to accomplish. A great aural test is to play the > major 6th below the lowest note of the 12th and compare that with that > same 6th against the upper note. Of course the beat rates should be the > same... but its one of the easiest tests to hear clearly and quickly. > > Cheers > RicB > > Bec and John wrote: > > > > >> And I'll go a step further... the cleaner the 12ths are the better > >> the overall stretch of the whole tenor treble area > > > > > > Interesting. I'll have to try that out sometime. Just to clarify, > > after you set the temperament octave you use the 12ths as the primary > > means to tune (at least within the tenor treble area)? > > > > - John > > > > _______________________________________________ > pianotech list info: https://www.moypiano.com/resources/#archives
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