I'm afraid you don't appear to grasp the essentials (as the opening sentence 
and indeed paragraph of your reply [below] also demonstrates):  in short,  (and 
yet again) because the open strings of the 'renaissance' lute are tuned to 
different notes (except of course the double octave between the 1st and 6th 
course) then the semitone fret intervals on each string do not follow precisely 
the same sequence of diatonic and chromatic intervals as you move up the 
fingerboard (it is of course, as I trust you understand,  the difference in 
width between chromatic and diatonic semitones that is the fundemental 
problem).  As you modulate you therefore require different semitone frets to 
act as chromatic or diatonic semitones - hence why modulation is a difficulty - 
and particularly in your 'system' of using 'tastini'.
   
  I had assumed that you would also understand, but maybe not, that the 
situation on keyboard instruments with the octave divided into 12 semitones 
(equal in equal temperament but not in others such as your own 'meantone') is 
wholly different: here it is indeed possible to tune each note (key) to a 
unique pitch since there is nothing to restrict this as with fretted 
instruments (ie a straight fret running across a number of strings). Of course, 
even on keyboard instruments, as one moves away from the the key of C, the 
increasing number of sharps/flats soon increases the out of tunefulness - hence 
why so much effort was displayed by early musicians in coming up with a variety 
of temperaments. 
   
  Finally, regarding double fret loops: a bit like Galilei and tastini, with 
the single exception of Mace (who mentions them but goes on to describe the 
usual double loop) the overwhelming preponderance of evidence is that double 
loops were the norm.  Perhaps you assume that because single loops are a common 
practice nowadays this was the practice in earlier times............
   
  I'm very sorry to say that much of what you write is simply personal 
affirmation (a bit like astrology) with scant regard for any actual evidence. 
   
  MH
  

LGS-Europe <[EMAIL PROTECTED]> wrote:
  Dear Martyn

>> The point about modulation is that since you acknowlege your frets 
>> (including 'tastini') are necessarily straight, then the change of some 
>> notes from diatonic to chromatic intervals,
consequent on the modulation, requires such a change since the modulation 
will very rarely (if ever in practice) effect all the fret positions on each 
of the courses the same.
>>

The beauty of meantone temperaments is that intervals in different keys have 
the same relative distances, as long as you stay away from the wolf. Music 
written for meantone temperament (if you accept such a thing, I do, looking 
at organs and wind instruments) does that, unless it's needed to make the 
wolf howl. This is why meantone temperaments work on fretted instruments in 
the first place, opposed to unequal temperaments like the Werckmeisters, but 
here colour in keys can be written into the piece by means of modulation.

Time to go back to my broken-record argument I haven't seen disputed yet:

How about organs in meantone? Don't they modulate the same way as retted 
instruments? Unless you have an organ with many split keys in the octave, 
they will modulate like we do. Theory is fine, but practice is where lute 
players then and now have to earn their money. Playing as much in tune as 
possible is part of the requirements. I see no other way than moving my 
frets to match the organ.


>>
Yes, I'm afraid wether or not such chimeric things (as 'tastini') were 
used is very much to the point: if we pretend to play period music using 
instruments and styles familiar to the 'Old Ones' and what their audiences 
might have expected and heard, then we ought not impose tuning (fretting) 
systems which have no historic justification.
<<

Galiliei disliking tastini shows there were about. But, fine, skip the 
tastini, as I said, you can do without. Double frets like viols have, some 
advocate these for lutes on historical grounds, are another option, as you 
can split them, like viol players do. Whatever you do, you must play in tune 
with the organ &c. You're not going to if you stick with ET. Common sense to 
me as it must have been to players and audiences alike in the 17th century. 
What is your altenative?

David - played very much out of tune with a 19th century pianoforte (in the 
Finchcocks piano museum in Engleand, last month), that was tuned in 
something Orwellian with some fifths more equal than others. There was no 
way my fixed-fretted 19th century guitar was going to match that. Horrible 
f-minor chords with clashing a-flats, especially. This led us to the 
speculation that our obsession with playing in tune might be a modern one, 
making this whole discusion a moot one. ;-)



****************************
David van Ooijen
[EMAIL PROTECTED]
www.davidvanooijen.nl
**************************** 




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