[CAUT] Shulze tuning research

[Linda Stråhle]

Hi all Caut members,

I will make a short input on this pure 12th, 3:1 discussion. Although  
the stretch that is produced by such settings and ideal, I think it is  
not beautiful considering thirds and sixths if you prioritize a pure  
12th. It is good and give a very good direction of stretch, I most  
certainly agree, but it's not the one only intervall that will make  
all the rest less important such as octaves, thirds and sixths.

This is of course my very personal opinion:-)

Mvh,

Linda

Skickat från min iPhone

23 okt 2008 kl. 17.44 skrev Fred Sturm <fssturm at unm.edu>:

>    I have been in correspondence with Gary Shulze, and would like to  
> share with the list some interesting information concerning the  
> research he did, on the basis of which he wrote the article we have  
> been discussing. In 1981, while he was working as a teaching  
> assistant under Owen Jorgensen, he had been looking into the aural  
> principles that are present in fine piano tuning, and had become  
> aware of the fact that beatless P12 and P19 intervals tended to be a  
> feature of such tuning. He said that his discussions with other  
> tuners made clear that they had come to the same conclusion.
>    He did calculated tunings based on the logarithmically equal  
> division of the P12 and of the P19, taking into account  
> inharmonicity. These were very tedious calculations based on the  
> computer capabilities of the time, involving the use of formulae to  
> calculate frequency, and then to convert frequency into the cents  
> system.
>    Having made these calculations, he proceeded to compare the  
> results with readings made on an aurally tuned Steinway D. And he  
> found a remarkable degree of correspondence. Hence, he proposed (in  
> his article) the notion of the P19 temperament as a basis for aural  
> tuning in which stretch and inharmonicity melded to produce  
> "excellent results."
>    To the best of my knowledge he took this no further, in the sense  
> of coming up with a "system" for producing this tuning. It was more  
> along the lines of developing guidelines for "proving" a tuning as  
> one was producing it, using the P12 and P19 to show that you were  
> using the appropriate stretch (and as a basis for adjusting if  
> necessary).
> Regards,
> Fred Sturm
> University of New Mexico
> fssturm at unm.edu
>
>
>