[pianotech] [CAUT] More Bohemia

[Bernhard Stopper]

Richard,

Although i still feel beeing misinterpreted from your part, i will  
finish to contribute to this thread now as i have provided my  
arguments as clear as i can.

Bernhard Stopper


Am 03.05.2009 um 21:55 schrieb Richard Brekne:

> So,  then we are talking about an exact 3:1 after all eh ? :)
>
>
>   Sorry Ric, but you are completely wrong here. The difference of   
> my    temperament  compared with Gary´s over a telfth is 3:2.998688889
>   (without inharmonicity), so that equals to 0,75 cent. That is not
>   at  all an academic difference for me.
>
>   Cheers,
>   Bernhard Stopper
>
>
> Hust so folks have it  clear here.  The difference referred to above  
> if taken over the D3-A4 twelfth amounts to about 0.575 bps over the  
> entire twelfth. This is a simple theoretical difference between what  
> results by increasing D3 (without any inharmonicity figured in) by a  
> factor of the 19th root of 3 vs the 19th root of 6^(19/31). In the  
> former you get (using 440hz as D3's 3rd partial starting frequency)  
> 1320 hz for of A4 fundemental, and in the later 1319.431~  hz for A4  
> fundemental. Neither of these numbers are in real life useful as in  
> real pianos you MUST deal with inharmonicity. At the heart of both  
> articles is the idea of using 12ths as a priority for tuning instead  
> of octaves. Theoretical justifications for why one should use the  
> twelfth may vary, but the central point remain the same.
>
> Once past the theoretical one comes to the practical... which  
> demands using each individuals inharmonicity instead of numbers like  
> those above. One matches coincident partials in real pianos to do  
> this. In my case, I simply use Tunelab Pocket PC to do this and its  
> easy enough to do.  Aural tuners relying on 12ths tests to help in  
> setting octaves have ended up in the same basic arena for years,  
> perhaps without knowing it.
>
> Thats as about as far as I'm going to bother going into theoretical  
> this and thats. Its about using the 12th and not the octave as a  
> tuning priority.... and why that ends up working, and what that  
> exactly does to the overall stretch of a piano in comparison to  
> octave priorities.  And for that matter how that again compares to  
> Virgils method.
>
> At least thats what its about for me.
>
> Cheers
> RicB
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