On Sat, Oct 17, 2009 at 00:54, Kit Wolf <[email protected]> wrote:
>
> I'm interested to hear you talk about the trumpet here, as the sources
> I've read on temperaments tend to focus on string and keyboard
> instruments. It frustrated me that they didn't mention brass and woodwind
> more often, but I have never been very clear in my own mind what I
> expected them to say about them. In other words, I couldn't really
> formulate a question, but I feel sure there must be an interesting answer!
>
> Take the situation where a valveless brass instrument that 'naturally'
> produces notes in the harmonic series plays with an orchestra or keyboard
> that is tuned to a different (but historically plausible) temperament: if
> I understand you correctly, 'D' is one of the keys where the discrepancy
> between the brass instruments and the other instruments is likely to be
> minimised? Are there any other keys that work particularly well or
> particularly badly, or are we able to lip everything enough that the
> natural discrepancy doesn't really matter? Perhaps our ability to
> hand-stop is the reason horns seem to be crooked in so many more keys than
> trumpets?
>
> These are just examples of the ill-formed questions running through my
> mind - I'd be interested to hear any comments about playing horns in the
> days before equal temperament.
>


After writing my comment and reading your reply and questions I
started calculate and think more on the subject. I know, wrong order
of doing things ;)

I've looked up the intervals in Werckmeister and Valotti, popular
temperaments for 18th century baroque, and the distances in cents come
out like this:
(I hope the table comes out alright ;)

F:      W               V               D:      W               V               
just           equal
G       198             196             E       198             196             
204             200
A       390             392             F#      396             396             
386             400
Bb      498             498             G       504             506             
498             500
C       702             698             A       696             698             
702             700
D       894             894             B       900             894             
884             900
E       1092            1090            C#      1098            1098            
1088            1100


So actually F comes out as slightly closer to the natural harmonic
series, which maybe explains the "natural" or "peasant" affect
associated with it.

In retrospect and after calculating I have to rethink my statement and
would have to conclude that other factors have to do with the (at
least for me real) relative discomfort of playing in F. It is probably
a culmination of the differences in the temperament and the tuning
tendencies/problems of other instruments that make F so much harder to
play in. The F on a baroque flute for instance is a notoriously bad
note, and our sounding D (written A, normally played wide open and
lipped up) will tend to be too flat relative to the D of the strings
which is based on pure fifths.
In these temepraments F lies a bit higher on the keyboard than in
equal temperament and D slightly lower, so that could be a
contributing factor as well.
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