Just so Martin. The principal problem with meantone on fretted instruments has often been raised before but it's always as well to repeat it for those new to the issue:
If the diatonic and chromatic sequence between frets as one ascends the fingerboard were the same on each string then meantone fretting could indeed by applied, but since this is not the case then, as you say, a number of significant compromises have to be made. These compromises are, of course, less if one stays in certain positions and and the music does not modulate very far from the tonic. Martyn --- On Sat, 4/10/08, Martin Shepherd <[EMAIL PROTECTED]> wrote: > From: Martin Shepherd <[EMAIL PROTECTED]> > Subject: [LUTE] Re: Temperament wondering... > To: "Lute List" <lute@cs.dartmouth.edu> > Date: Saturday, 4 October, 2008, 11:12 AM > You're right, Rainer - but just in case there's any > misunderstanding: > > In a meantone temperament you don't expect all the > apparent octaves to > be pure, for example the Gb on the first fret (high > position) of the 4th > course with the F# on the fourth fret (low position) of the > 2nd course - > this is just a consequence of having frets which are > straight and cannot > be in different positions on different courses. You still > expect the > "proper" octaves to be pure, such as 2nd fret 4th > course with open 1st > course. Anyone using meantone fretting has to be aware of > the > limitations and test only some octaves and not others (and > move frets > according to the notes required by the piece). > > Best wishes, > > Martin > > Spring, aus dem, Rainer wrote: > > -----Original Message----- > > From: Sam Chapman [mailto:[EMAIL PROTECTED] > > Sent: Saturday, October 04, 2008 12:40 AM > > To: Andrew Gibbs > > Cc: Lute List > > Subject: [LUTE] Re: Temperament wondering... > > > > > >> In any tempered fretting system that's been > worked out properly you > >> need to first set the frets, then tune the strings > to each other in > >> perfect octaves or unisons, since these intervals > must be pure in all schemes. > >> > > > > If you insist on all unisons and all octaves being > pure you have no choice - you must use equal temperament. > > > > This is a straight forward calculation in linear > algebra. > > > > > > > > Best wishes, > > > > Rainer aus dem Spring > > > > > > IT & Business Solutions Division > > > > CONFIDENTIALITY DISCLAIMER > > The information in this email and in any attachments > is confidential and may be privileged. If you are not the > intended recipient, please destroy this message, delete any > copies held on your systems and notify the sender > immediately. > > > > You should not retain, copy or use this email for any > purpose outside of any NDA currently existing between > Toshiba Electronics Europe GmbH and yourselves. > > > > Toshiba Electronics Europe GmbH > > Hansaallee 181 - 40549 Duesseldorf - Germany > > Phone: +49 (211) 5296-0 - Fax: +49 (211) 5296-400 > > > > Handelsregister Duesseldorf HRB 22487 > > Geschaeftsfuehrer: Hitoshi Otsuka > > Amtsgericht Duesseldorf > > > > > > > > To get on or off this list see list information at > > http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html > >
