Octave Tuning

Bernhard Stopper b98tu@t-online.de
Thu, 23 Sep 2004 10:23:43 +0200


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
> >
> 
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