Dear Howard,

Agreed. In a world of unequal temperaments, different keys will show
more variety of character, than they would if pitch were the only
differing factor. The unsettling character of distant keys may be
heard in Dowland's Forlorn Hope Fancy, assuming, of course, the lute
is not fretted in equal temperament.

Keyboard instruments offer greater flexibility with regard to
unequal temperaments, because each note of the scale has its own
string or strings. Keyboard instruments may be tuned to temperaments
like Valotti, where the fifths are not all the same size. Fretted
instruments are more limited in what they can do, because each fret
affects several strings. Unless one resorts to tastini, one is
obliged to have temperaments where the fifths are all the same size,
i.e. a meantone temperament of some kind.

It is rare to find printed books of lute music, where there is a
chord chart at the beginning. Robert Dowland's _Varietie_ springs to
mind, where Besard's Observations show left-hand fingering for many
common chords, but it is the exception to prove the rule. Guitar
books, on the other hand, generally have an alfabeto chart at the
front or the back of the book. That includes song books as well as
books of guitar solos. There are small differences from one source
to another, but the system is more or less standard. It is fully
chromatic, suggesting that guitarists should be able to play in any
key.

Colonna's _Intavolatura di Chitarra Spagnola_ (Milan, 1637) has an
alfabeto chart preceding the music:

 +   A   B   C   D   E   F   G   H
-2-|-2-|-3-|-0-|-0-|-0-|-2-|-3-|-1-|-
-2-|-0-|-2-|-0-|-2-|-0-|-2-|-3-|-3-|-
-0-|-0-|-0-|-2-|-2-|-2-|-1-|-2-|-3-|-
-0-|-3-|-1-|-3-|-1-|-3-|-0-|-1-|-3-|-
-0-|-3-|-0-|-2-|-0-|-1-|-0-|-1-|-1-|-

[Em  G   C   D   Am  Dm  E   F   Bb]

 I   K   L     M   N   O   P   Q   R
-0-|-1-|-3-3-|-1-|-3-|-1-|-3-|-4-|-2-|-
-2-|-3-|-1-1-|-1-|-1-|-0-|-3-|-4-|-4-|-
-2-|-3-|-0-0-|-3-|-1-|-0-|-1-|-3-|-4-|-
-2-|-2-|-3-4-|-4-|-1-|-3-|-1-|-2-|-4-|-
-0-|-1-|-3-3-|-3-|-4-|-3-|-1-|-2-|-2-|-

[A   Bbm Cm    Eb  Ab  Gm  Fm  F#  B]

 S   T   V   X   Y   Z   &   ?   R,  *
-2-|-4-|-4-|-2-|-5-|-3-|-4-|-2-|-3-|---|-
-2-|-2-|-4-|-4-|-5-|-5-|-3-|-2-|-3-|-3-|-
-4-|-2-|-2-|-4-|-4-|-5-|-1-|-4-|-5-|-0-|-
-5-|-2-|-2-|-3-|-3-|-5-|-2-|-5-|-6-|-3-|-
-4-|-5-|-2-|-2-|-3-|-3-|-1-|-3-|-4-|-3-|-

[E   A   F#m Bm  G   C   C#  Em  Fm  G7]

So far we have all twelve possible major chords:

Ab Eb Bb F C G D A E B F# C#

and nine of the twelve possible minor chords:

Bbm Fm Cm Gm Dm Am Em Bm F#m

Colonna then goes on to show how the same chord shape may be used at
different frets for more chords. The fret position appears above the
alfabeto letter:

 3   3   3   3   3   3
 G   H   M   N   K   P
-5-|-3-|-3-|-5-|-3-|-5-|-
-5-|-5-|-3-|-3-|-5-|-5-|-
-4-|-5-|-5-|-3-|-5-|-3-|-
-3-|-5-|-6-|-3-|-4-|-3-|-
-3-|-3-|-5-|-6-|-3-|-3-|-

[G   C   F   Bb  Cm  Gm]

Having established how to play any chord, Colonna gives Passacalli
on all alfabeto letters apart from his last two. I am surprised that
he sticks to the basic chords of the system, and doesn't use the
movable shapes where he could.

All these Passacalli involve three chords. The first strums its way
through alfabeto A B C A [= G major, C major, D major, and back to G
major].

The fourth piece is in a minor key, so strums through D E F D [= A
minor, D minor, E major, and back to A minor]. Not surprisingly, the
dominant is a major chord.

The tenth piece is in a minor key, but the subdominant is major, as
well as the dominant. The chords are K M G K [= Bb minor, Eb major,
F major, Bb minor]. Why didn't he play Eb minor for the subdominant?
There is no alfabeto letter specifically for Eb minor, but he could
have used a moveable shape like

-1-
-1-
-3-
-4-
-2-

It's all very puzzling. My guess is that he wanted first to confine
himself to the basic alfabeto system, without the added complication
of moveable chord shapes.

Although Colonna's 25 little Passacalli are not quite a full
complement of major and minor keys, they are pretty close to being
so. They are followed by more Passacalli, where chords involving
moveable shapes are used. It would seem that Colonna's aim is not so
much to exploit the subtle differences arising from varying degrees
of out-of-tune-ness, but rather to get the student guitarist to
become familiar with all the alfabeto symbols. With this range of
keys, I cannot imagine anything other than equal temperament being
appropriate.

Best wishes,

Stewart McCoy.








----- Original Message -----
From: "Howard Posner" <[EMAIL PROTECTED]>
To: "Lute Net" <lute@cs.dartmouth.edu>
Sent: Friday, March 24, 2006 11:57 PM
Subject: [LUTE] Re: Mean tone temperament


> Stewart McCoy wrote:
>
> > I can think of quite a bit of baroque guitar
> > music which explores remote keys, and where equal temperament
would
> > have to be the order of the day.
>
> But it would not *have* to be anything of the sort, unless you
assume
> that a composer writing in F-sharp major expected it to sound like
C
> major a tritone higher.  Some 17th-century keyboard pieces wander
into
> distant keys, and no one who has looked into it suggests that this
> meant the keyboard was tempered equally.  The natural assumption
is
> that the explorations into keys outside the normal ones were
supposed
> to sound weird and outlandish (indeed, "weird" and "outlandish"
mean
> "beyond familiar territory"), making the return to comfortable C
or G
> more pronounced and even dramatic.  The urge to tame the distant
keys
> by making the normal keys less in tune has a lot to do with
> 20th-century listening habits.
>
> HP





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