John Chambers wrote:
> 
> Bruce Olson writes:
> | I had thought I had the simplest way to figure out sharps and flats
> | on the key signature from mode and keynote graphed on a .GIF on
> | my website. I was wrong. I found a much simpler way, as shown on a
> | new .GIF there, SFMODE2.GIF. Most will probably not need it at all,
> | the method is so simple and easy to do.
> |
> | Number letter notes in the order of sharps on the key signature
> | (F=1, C=2, G=3, D=4, A=5, E=6, B=7). If the keynote is sharp add
> | 7 (14 for double sharp), and if it's flat subtract 7 (-14 for
> | double flat). Subtract mode number (1-lydian, 2-ionian, 3
> | mixolydian, 4-dorian, 5-aeolian, 6-phrygian, and 7- locrian) from
> | that note number and you get the number of sharps or flats you
> | put on the key signature. If the number is negative it's the
> | number of flats, and if it's positive it's the number of sharps.
> 
> This is the scheme that Michael Methfessel used in abc2ps.  It  works
> pretty  well for the classical European key signatures.  In my abc2ps
> clone, I added support for non-Western key signatures, so  I  had  to
> half-eliminate  this  scheme.  But it's still there, because it turns
> out to be convenient to write some key sigs  with  a  classical  mode
> modified by one or two accidentals.  Thus I often write klezmer tunes
> in, say, D freygish as "K:Dphr^F". The code uses the above scheme for
> handling  the  "Dphr" part, giving a signature of -2.  It then builds
> the list of accidentals from that and appends the ^F to the list.
> 
> I'd guess that this numbering of classical key  signatures  has  been
> discovered independently by any number of people.
> 
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Thanks John,
 
  I'm not too surprised. Reinvention is actually pretty common from what
I've seen. 

Bruce Olson
 
Roots of Folk: Old British Isles popular and folk songs, tunes, 
broadside ballads at my website <A
href="http://www.erols.com/olsonw";> Click </a>
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