Very interesting discussion!

I have always wondered what would be the best fret setup.
Looking at what Lauri Niskanen's calculator offered, I finally chose Gerle's setup because I thought this is probably developed out of practice and would cover most of 16th century music. I also tried Dowland's lute, but the spacing felt somewhat uncomfortable for me. Comparing them with pure setup systems, I found that some frets were off by a little to either 1/6 meantone or other "pure" systems like pythagorean or equal temperament - probably compromising.

Since what you find acceptable is probably a personal taste anyway (if playing alone at least) I would be interested what you prefer.

Our understanding is not universal (though the natural laws are)...
In Gamelan music, metal instruments age and detune, and that's how they keep them. It's an individual color that the instrument adds to the music - a totally foreign concept to us.

Am 08.03.2018 um 15:31 schrieb Martyn Hodgson:
    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
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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

    1. mailto:[email protected]
    2. mailto:[email protected]
    3. mailto:[email protected]
    4. mailto:[email protected]
    5. mailto:[email protected]
    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
   12. mailto:[email protected]
   13. https://www.avast.com/antivirus
   14. https://www.niskanenlutes.com/index.php?p=frets
   15. https://www.niskanenlutes.com/index.php?p=frets
   16. https://www.niskanenlutes.com/index.php?p=frets
   17. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
   18. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
   19. https://www.avast.com/antivirus
   20. https://www.avast.com/antivirus
   21. https://www.avast.com/antivirus




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