Everyone loves the cittern. But suppose you want to play in meantone?
   Specifically, alternating major and minor semitones such as in this
   delicious photo?
   [1]http://www.cittern.theaterofmusic.com/old/img_1600/34cm_citternscale
   .jpg
   Let's look at a few possibilities.
   The French 4 course tuning
   aa'a' gg'g'd'd'e'e'
   and the Italian
   bbggd'd'e'e'
   And let's assume this is tastini free--puh-leeze--
   Right away, we see the the G makes an A flat on the first fret of both
   tunings. Rats, shades of F minor.
   And right away we see that the Italian tuning is no good because there
   is a both a B and a G.
   But if we tune the French tuning up a fifth--and adjust the strings--
   we get the pitch set
   E D A B
   Which gives the following scales
   E F F# G G# A
   D Eb E F F# G
   A Bb B C C# D
   B C C# D D# E
   This gives good meantone for chords, and has both an E flat and a D
   sharp, although for solo music the the E on the top course is a bit
   high, this is mitigated by the the lowness of the open string.
   For the Italian tuning, a single extra fret would help the G sharp, as
   it does on the baroque guitar.
   dt
   --

References

   1. http://www.cittern.theaterofmusic.com/old/img_1600/34cm_citternscale.jpg


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