Ah! The gift of brevity!  Wasn't it Pascal who wrote "Sorry this letter
   is so long - I didn't have time to make it shorter".
   Bill
   From: Rob MacKillop <robmackil...@gmail.com>
   To: Monica Hall <mjlh...@tiscali.co.uk>
   Cc: Lutelist <lute@cs.dartmouth.edu>
   Sent: Friday, 4 November 2011, 19:50
   Subject: [LUTE] Re: diatessaron/diapente
   So he put it in D because he thinks it sounds better.
   Rob
   www.robmackillop.net
   On 4 Nov 2011, at 19:14, "Monica Hall" <[1]mjlh...@tiscali.co.uk>
   wrote:
   > Subject: RE: [LUTE] Re: diatessaron/diapente
   >
   > To those of you who were discussing this - I had the following reply
   from Wilfred which I think clarifies pretty well what he means in the
   context of the Bach piece..........
   >
   >
   > The use of diatessaron and diapente in this context relates to the
   > structure of the works. The position of the diapente (perfect fifth)
   > within the octave has connotations for the development and
   disposition
   > of music on the fingerboard.
   >
   > By way of example, 'Twinkle, twinkle little star' outlines a perfect
   > fifth melodically with the upper note elaborated using what some
   might
   > call an upper auxiliary note, whereas other might use the terminology
   of
   > Heinrich Schenker and call it a complete neighbour note pattern. In
   > essence, the opening perfect fifth creates implications for the voice
   > leading which are fulfilled at the conclusion of the work.  In most
   > tonal music, the position of the diapente within the musical
   structure
   > dictates a good deal of the range of the upper voice, and the
   associated
   > harmonic progressions.
   >
   > Taking examples I am sure are known to you, Dowland's 'Awake sweet
   love'
   > has the diatessaron above the diapente, which means that the work
   > requires an upper octave in the vocal part (i.e. note 8, unlike note
   5
   > in the Twinkle example).  Campion's 'Never weather beaten sail', by
   > contrast may begin on note 3, but its apex is akin to that of
   Twinkle.
   > In the Campion example the diapente is above the diatessaron. For
   both
   > examples the tonic note is the same.
   >
   > If you consider the opening bars of the Prelude BWV 1006, the note 8
   is
   > clearly present and, in my view, requires a resonance which is
   greater
   > than that available on fret n of the first course.  If you consider
   the
   > well-known passacaglia in D by Weiss, note 8 is very resonant in D
   Major
   > and, since BWV 1006a sits well on the 13 course lute in D major, it
   made
   > sense to me to use that key rather than the more common F major.
   Philip
   > MacLeod Coupe wrote to me and provided his version of the minuets
   from
   > BWV 1006 which he had transposed to D major.  I have a recollection
   that
   > someone in the SLF had done the same.
   >
   > The disposition of the diapente and diatessaron also governed modal
   > categories; if the diapente is at the bottom, the mode is authentic,
   if
   > it is at the top, the mode is plagal.
   >
   > There is a fair amount of material on the net about Schenkerian
   theory,
   > but this is mainly related to the Austro-Germanic musical culture.
   > Felix Salzer (Schenker's pupil and nephew to Wittgenstein) had
   broader
   > horizons and even analyzed 'What if I never speed' in his Structural
   > Hearing: Tonal Coherence in Music (New York Dover Edition, 1962).
   This
   > kind of analysis is not for everyone (a certain well-known German
   > Chancellor was none too impressed with Mr Schenker) but it represents
   > the way I think about music.
   >
   > I used the terms diapente and diatessaron as I felt they would be
   more
   > recognizable to the lute world than terms like
   Kopfton...................
   >
   > Monica
   >
   >
   >
   >
   >>    Dear friends,
   >>    In the Supplement to LUTE NEWS 99 there is a second part of Bach
   >>    Suite bwv1006a intabulated by Wilfred Foxe. It is presented here
   > in
   >>    a key of D major, quite unusually. In the Critical Commentary
   >>    Wilfred Foxe explains:
   >>    "The tonality of the original suite is E major, and this has been
   >>    transposed by a major second to D major. The Weiss Sonata 18 in D
   >>    Major provides a useful structural example since the work makes
   > use
   >>    of the diatessaron above the diapente for a work with a high
   >>    tessitura. In other of Weiss's sonatas with a high tessitura,
   such
   >>    as Le fameaux corsaire -- Sonata 22 in F Major, the diatessaron
   is
   >>    not employed. The fact that the same exists in BWV 1006a is the
   >>    principal reason for adopting D major in preference to F major."
   >>    I understand what means "diatessaron" and "diapente" in Greek, as
   >>    applied to historical music theory, but still I understand
   nothing
   >>    from Wilfred's explanation. Can someone enlighten me on this?
   >>    Jurek
   >>    ---
   >>    To get on or off this list see list information at
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   >>
   >>  --
   >>
   >> References
   >>
   >>  1. mailto:[3]jurek...@gmail.com
   >>  2. [4]http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
   >>
   >
   >
   >
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References

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   2. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
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