[CAUT] Origin of P12ths StopperStimmung/tuning

[Bernhard Stopper]

Fred Sturm schrieb:
> On Oct 18, 2008, at 8:05 AM, Bernhard Stopper wrote:
>
>> "sweet spotted" aural pure duodecimes (not 3/1 duodecimes). Further 
>> using a temperament setup within the range of such an AURAL 
>> duodecime, named the resulting tuning "Stopper Stimmung" and used the 
>> name as a trademark for this tuning (published 1988). Although 
>> StopperStimmung/tuning is BASED on the 19th root of 3,  this factor 
>> is true but for the pitch unison. In fact real world 
>> StopperStimmung/tuning is NOT a logarithmic 19th root of three tuning.
>
> Thanks for this clarification. Let me note that when most of us (on 
> this list, in PTG) use the terminology 3:1, we are referring to a 
> matching of the 3rd partial of the lower note with the 1st partial of 
> the upper note (not a mathematically pure 3/1 relationship). I would 
> describe "sweet spotted aural 12ths (=duodecimes)" as "somewhat wide 
> 3:1 12ths." One is accounting aurally for the 6:2, 9:3, and (in the 
> bass range) 12:4 coincidence of partials as well as the 3:1, and 
> making a personal judgment as to where the "sweet spot" is.
That is my definition too.
>     Many aural tuners rely on "sweet spotted" octaves. It is a 
> workable way to tune, but suffers from lack of precision in 
> communicating to others, and it is difficult to be consistent in 
> application. The 12th is somewhat less problematic, as there are fewer 
> coinciding partials involved, but I still find this a less than 
> precise way of describing a tuning system.
>
>> 3. (most important)
>> Having discovered symmetry present in this tuning, eliminating beats 
>> in various chord combinations by constructive interference, und thus 
>> having discovered WHY this tuning sounds so good:  (2004)
>
> Are these results available to the public?
>
These results are actually beeing prepared for publication. (Early 2009)


Regards,

Bernhard Stopper
> Regards,
> Fred Sturm
> University of New Mexico
> fssturm at unm.edu
>
>
>


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