David, this material will be available again in the publication i am actually preparing. Bernhard Stopper Am 27.04.2009 um 17:38 schrieb David Skolnik: > Bernhard - > I know there was a good deal of caloric discussion about this in the > not-to-distant past on this list (or CAUT), so I don't want to > mindlessly re-ignite anything now. If RicB is correct in stating > that the document formerly found on your website is no longer so > available, would you suggest another way of accessing it? Perhaps > this can be the summer where I finally learn what I'm doing, or not > doing. > > David Skolnik > Hastings on Hudson, NY > > > > > At 06:24 AM 4/27/2009, you wrote: >> My approach was not made known 6 years ago to the piano community, >> but >> published already 21 years ago in a euro piano article from 1988, as >> Stopper temperament, where i published this method along with the >> usage of a twelfth spanner tool and the discovery of the natural form >> of the fifth circle which is in fact a nineteen octaves and twelve >> twelfths circle. >> >> This article has been published in 5 languages . (German, english, >> italian, french and danish.) >> >> Gary Schulze´s article is not an introduction of a general P12 tuning >> approach. >> >> He was rather trying to compensate for inharmonicity to make >> intervals >> like double octaves, twelfths, fifhts and triple octaves as pure as >> possible. >> >> In his article he is favoring a 31th root of six equal temperament to >> achive this inharmonicity compensation, what is a different thing >> from >> a general pure twelfth tuning world view. >> >> Bernhard Stopper >> >> Am 27.04.2009 um 12:39 schrieb Richard Brekne: >> >>> Seriously tho... there is a good deal written actually now about >>> P-12ths. I'd suggest starting with Gary's article from 1982. It >>> contains some very fine observations that you wont find anywhere >>> else. Hunting through the archives can be time consuming... but >>> there are some good tidbits there. Stopper made himself known to us >>> about 6 years back and has a well pondered out specific system and >>> analysis of P-12ths in classic interval fraction form. I think he >>> removed that paper from his website but if he will share it with you >>> it is also a good read. > > >
This PTG archive page provided courtesy of Moy Piano Service, LLC