--- In tuning@yahoogroups.com, "Andreas Sparschuh" <a_sparschuh@...>
wrote:


> Sparschuh's 80:81 inbetween F-C-G-D-A-E and 32768:32805 in E B...Bb F
> !
> 12
> !
> 2790/2463
> 2960/2463
> 6275/2463 ! was > 3135/2463 formerly
> 6615/4926 ! (5:4)(882:881)
> 3524/2463 ! (4:3)(882:881) was > 3525/2463 ! (4:3)(3525:3524)
> 3720/2463
> 3960/2463 ! (3:2)(880:881)
> 4185/2463 ! was > 4180/2463 formerly
> 4425/2463
> 4705/4700 ! was > 4700/2463 fromerly
> 4960/2463
> 2/1
> !
>
> Quests:
> Who in that group here dares to try that on his/hers own instrument?

I have a straightforward practical question.

With only an A=440 tuning fork in one hand, a harpsichord tuning lever
in the other hand, and absolutely NO electronic devices of any kind:
how exactly should one proceed to get all twelve of your notes
correctly tuned onto a harpsichord, using this scheme? And with no
way of measuring integer frequencies, either, or knowing when they've
been achieved precisely?

To what precision are errors acceptable? And why?


> Are there any proposals in order to improve even that once more
> again?

It depends what the word "improve" means to you. Does one first have
to agree with your goal of proportional beating, and your constraint
of integer frequencies? All this stuff just looks like
nearly-meaningless tables of numerals to me, sorry; the only way I
know to assess its quality is to see if it agrees with *your own*
goals...which doesn't tell us one way or another about the usefulness
for anything else *but* your own goal of proportional beating (or
whatever it is).

If I'd somehow take the time and get this temperament set up on my
harpsichord, within some acceptable error tolerance but without using
any electronic devices: how would the resulting temperament sound in
playing (say) some late Couperin? What does it do for the music,
harmonically and melodically? That's the kind of thing I personally
care about: a temperament that sounds great in the music, and that can
be done entirely by ear in less than 10 minutes without having to
calculate (or even refer to) a page of numbers. How, please?

And, what happens if I'd want to start on A=430 or something else
(maybe not having anything to do with integers!), or on some C? Does
it all need to be recalculated? Help out the practical musicians who
just want to listen to the sounds of intervallic relationships,
calculating nothing....


Brad Lehman