>Guido d'Arezzo introduced the syllables *ut re mi fa sol la* as names
>for the tones *c-a*. Later *ut* was replaced with *do*  and *si*
>(now *ti*) added to complete the octave. Now we have a kind of
>notation, which we migth say Guido d'Arezzo invented, but a very
>limited one because written down you only see height but not length
>of tones.
>
>Cortez

You may come from a country which uses fixed do terminology.  But Guido's
system of hexachords was actually the first moveable do system.  The six
syllables were used equally for the c-a hexachord, the f-d hexachord (with
Bb), and the g-e hexachord (with B natural).

The key to his system as far as teaching students to read music was the
half step in the middle of each hexachord, thereby establishing the "mi-fa"
halfstep with e-f, a-Bb, and b-c.  He may have picked up the hexachord idea
from Daesian notation using tetrachords with a halfstep in the middle,
which appears in the "Musica enchiriadis" of the mid-9th century.  He
needed the three overlapping hexachords because he had to deal with both Bb
and B natural and keep that central halfstep relationship.  Thus, a
"moveable ut" system.  He had no need to "complete the octave" because
musicians of his time did not think in those terms.  His "gamut" included
all the notes used in chant, and no more; they did not think in terms of
octaves that continue both up and down into infinity, or of a fully
chromatic system of which his gamut was simply a subset.  Do not judge the
11th century by the 21st!

He adapted the neumatic notation that had been in use for about a century
in some places, regularized the lines scored across the page by some
scribes into a 4-line staff, and labeled the staff lines by using moveable
C and F clefs.  He was not concerned with notating durations because he was
dealing exclusively with chant melodies.  The system he created was so good
for its intended purposes that it remained in use almost unchanged for six
centuries.  He took a number of ideas that were floating around and put
them together in a new way.

John


John & Susie Howell
Virginia Tech Department of Music
Blacksburg, Virginia, U.S.A. 24061-0240
Vox (540) 231-8411   Fax (540) 231-5034
(mailto:[EMAIL PROTECTED])
http://www.music.vt.edu/faculty/howell/howell.html


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