Ron and Martin have valid points - in particular the advocacy of a true
   meantone is something of a chimera on the lute. Indeed, this matter of
   non-equal temperament on lutes has been considered on this forum a
   number of times before - just search the archives.  For example this
   some seven years ago (and quite a few much more recently):
     * [1]Martyn Hodgson <[email protected]>
     *
     * 09/01/11 at 2:50 PM

   To[2]Lute Net

       Dear Andrew,
     The problem with a lot of writing about unequal temperament on the
   lute
     is that it's either written by many who base their conclusions almost
     entirely on keyboard practice (where, of course, with individual keys
     one can indeed make a deliberate choice between a chromatic or
   diatonic
     semitone in all octaves) or those who have heard that 'meantone'
   gives
     purer thirds and therefore by asserting this they are somehow
   'better'
     than those inclined to other views.
     Most such writers seem blissfully unaware of the fundemental problems
     that many of the Old Ones themselves squarely faced up to: that by
     having a fret across the fingerboard it is not possible to set up a
     lute in such a meantone (ie on some courses the fret will have to
   stop
     a chromatic note; on another a diatonic one). In a few early pieces
   it
     may be possible to set up a suitable meantone (say 1/6 comma, which
     gives both thirds and fifths roughly the same distance from pure) but
     even here one runs into problems as I pointed out in my original
     reviews (in FoMRHI Quarterly) of Lindley's still unsurpassed book: eg
     Luis Milan does in fact use the first fret for chromatic notes on the
     4th course.
     My own view is that in practice a modest degree of tempering can
   often
     end up with more harmonious results for many pieces - in particular
   by
     moving the second fret a bit towards the nut and the third a bit
     towards the neck (both around an 1/8th commas worth) and then
   tempering
     the open strings accordingly by following the old unison/octave
   tuning
     checks.
     However I'm often outfaced by many late 16th century Italian sources
     which, for example, freely use the first fret on the first course for
   a
     chromatic or a diatonic note! - implying either they had no sense of
     tuning or something pretty close to equal temperament was routinely
     employed (as Lindley concludes).
     Of course there is the red herring that one can use 'tastini' (ie
   small
     additional frets placed against certain fret/courses to allow a
   choice
     of diatonic or chromatic). Even allowing that it's always technically
     possible to employ these and that the buzzing on the paired fret is
     somehow overcome, there is the problem that the sole source which
     mentions these (Vincenzo Galilei - a celebrated thoerist as well as
     practicing lutenist - in 'Fromino Dialogo' 1568,1584)  speaks of the
     practice in a  most disparaging manner:  "....Now I come to the
   matter
     of 'tastini' which lately some people seek to introduce to remove
   some
     of the sharpness from the thirds and major tenths (as they try to
     persuade those who are more foolish than they).....  but those using
     'tastini' do not know much about thoery". Unsurprisingly, no other
     contemporary lutenists seem to make any reference to such
   affectations.
     David van Ooijen has probably made the best stab at simple
   instructions
     on how to set up a lute for various meantone temperaments (see his
     site) but even he is obliged to fudge the outcome by assuming
     particular diatonic or chromatic settings for certain frets which
   wont
     work in many pieces/keys (eg for a nominal G lute the third fret 4th
     course is given in its G# position whereas its much commoner use is
   at
     Ab, etc....).  You'll have to analyse Kapsberger's diatonic/chromatic
     usage at each fret position to be able to estimate what temperament
   he
     employed - when I did it I found equal temparament was generally
     indicated..........
     MH
     PS This topic generally has been the subject of repeated threads on
     this list - Andrew, you may care to trawl the substantial archives.
     __________________________________________________________________

   From: Ron Andrico <[email protected]>
   To: Martin Shepherd <[email protected]>; Lute List
   <[email protected]>
   Sent: Thursday, 8 March 2018, 12:42
   Subject: [LUTE] Re: meantone tuning tech
     And I will add that thirds are not and never were meant to be pure.
     Octaves, fifths, and fourths are pure and thirds are dissonant.  This
     is fundamental to understanding the character of early music, and
     reinforced as pertains to fretting the lute by Vincenzo Galilei.  I
     agree with Galilei, who was one smart fella, and all this mucking
   about
     with temperament is really keyboard-centric.
     RA
       __________________________________________________________________
     From: [3][email protected] <[4][email protected]> on
   behalf
     of Martin Shepherd <[5][email protected]>
     Sent: Thursday, March 8, 2018 12:18 PM
     To: Lute List
     Subject: [LUTE] Re: meantone tuning tech
     I should just point out that there are no pure fifths in meantone
     temperaments.  The fifths are close to pure in equal temperament,
   just
     2
     cents narrow, but in meantone temperaments they are much more narrow.
     I usually use 6th comma, and I do find the fifths useful as a tuning
     check, but only because I know by ear how flat they should sound.  I
     often play (as arpeggios) a sequence:
     c1c2a3, a1a2c4, d2d3a4, etc.
     To check that all the fifths are equally narrow. (and the octaves are
     perfect).
     Martin
     On 08/03/2018 12:45, Leonard Williams wrote:
     >        I should have added--it seems to work quite well.  I check
     perfect
     >    fifths from open to 2nd fret on the next higher string also.
   The
     ear
     >    tuning has, to be sure, the final say.  But for starters, when
     things
     >    get a bit off, the f transposition has been nice for getting the
     open
     >    strings in place. When my strings are behaving, the tuning stays
     pretty
     >    good, so I don't do this every time I practice.
     >
     >        Thanks for your input!
     >    Leonard
     >    -----Original Message-----
     >    From: Matthew Daillie <[6][email protected]>
     >    To: Leonard Williams <[7][email protected]>; Lute List
     >    <[8][email protected]>
     >    Sent: Thu, Mar 8, 2018 5:31 am
     >    Subject: Re: [LUTE] meantone tuning tech
     >    Hi Leonard,
     >    This seems to be a very convoluted and hit and miss method to
   me.
     Maybe
     >    it would be good to get back to basics (which is what you are
     doing
     >    when
     >    checking the major thirds between the fifth and third courses of
     your
     >    lute).
     >    With 1/4 comma meantone you are looking to have 8 pure,
   beat-less
     major
     >    thirds (C-E, for example). These are narrower than equal
     temperament
     >    thirds which can sound pretty awful once you get used to the
     purity of
     >    major thirds. It is not always easy to hear the beats on a lute
     (far
     >    less evident than with the metal strings and clear harmonics of
   a
     >    harpsichord, for example) so it is generally advised to set the
     frets
     >    based on calculations for your string length. You can use a
     calculator
     >    such as the one provided online by Lauri Niskanen which will
   give
     you
     >    the distances between the nut and the various frets. All you
   need
     to do
     >    is enter the string length of your lute and place your frets
     >    accordingly. Here's the link:
     >    [1][9]https://www.niskanenlutes.com/index.php?p=frets
     >    Once you've done that you will need to see if you require extra
     frets
     >    (tastini) for notes that would not be in tune without them (such
     as the
     >    first position F# on the 4th course of a lute in g'). Mean tone
     >    distinguishes between enharmonic notes, (so D# will be lower
   than
     Eb
     >    flat, for example) and you can't have both at the same time on
     the lute
     >    and you will need to adjust the position of certain frets
     according to
     >    the piece you are playing. Once your frets are set, I would
     suggest
     >    tuning an a' from a tuning fork or electronic tuner and then
     tuning the
     >    other courses by ear from that by using octaves. If you do not
     feel
     >    comfortable tuning by ear then use the setting on your tuner to
     get 1/4
     >    comma mean-tone with an Eb as you will be playing music in flat
     keys.
     >    The final adjustments really do need to be made by ear, however
     good
     >    your tuner and you can check the major thirds of the piece you
     are
     >    playing.
     >    Hope this helps.
     >    Best,
     >    Matthew
     >    can use a pr
     >    On 08/03/2018 02:17, Leonard Williams wrote:
     >    > Here's a tuning method I've been experimenting with, and I'm
     >    wondering about others' related experiences. My 8 course is
     nominally
     >    in g (i.e., g treble), 1/4 comma meantone. But - since most of
     the
     >    music I play is in flat keys, I set my Peterson tuner for an
     instrument
     >    in F instead of C. Thus when I tune the g, the readout is d,
   etc.
     I've
     >    also found that using a chord consisting of fret d on 3rd, e on
     4th,
     >    and f on fifth is helpful in refining the tuning and those
   frets.
     >    > Any similar experiences?
     >    >
     >    > Best to all,
     >    > Leonard Williams
     >
     >    --
     >
     > References
     >
     >    1. [1][10]https://www.niskanenlutes.com/index.php?p=frets
     [2][og_fret470.jpg]
     [3]Fret Calculator | Niskanen Lutes
     www.niskanenlutes.com
     Fret Calculator Fret placement calculator. You can enter your string
     length in any unit of measurement and the results will be displayed
   in
     that unit.
     >
     >
     > To get on or off this list see list information at
     > [4][11]http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
     [5]Lute Mail list technical information
     www.cs.dartmouth.edu
     How do I get on the lute mail list? To get on the mail list, send
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   References
     1. [14]https://www.niskanenlutes.com/index.php?p=frets
     2. [15]https://www.niskanenlutes.com/index.php?p=frets
     3. [16]https://www.niskanenlutes.com/index.php?p=frets
     4. [17]http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
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References

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   6. mailto:[email protected]
   7. mailto:[email protected]
   8. mailto:[email protected]
   9. https://www.niskanenlutes.com/index.php?p=frets
  10. https://www.niskanenlutes.com/index.php?p=frets
  11. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
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  14. https://www.niskanenlutes.com/index.php?p=frets
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  17. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
  18. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
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