<h2><SPAN name="CHAPTER_XV" id="CHAPTER_XV"></SPAN>CHAPTER XV.</h2>
<h3>THE CHANGES IN MUSICAL NOTATION.</h3>
<hr style="width: 15%;" />
<p><ANTIMG src="images/capt.png" width-obs="102" height-obs="100" alt="T" title="T" class="floatl" />HE entire movement of musical thought since three or four tones began
to be put together into scales, melodies and unities of various kinds,
has been in the direction of classification. This is shown very
conclusively in the history of musical notation, which, at the end of
the period just now under consideration, had reached a form nearly the
same as we now have it. The early notation regarded tones as
individual, and wholly without classification of any kind. The first
musical notation of which we have any authentic knowledge was that of
the Greeks already noted in <SPAN href="#CHAPTER_III">chapter III</SPAN>. Their scale consisted of two
octaves and one note, their so-called "greater perfect system," and
the tones were named by the first fifteen letters of the Greek
alphabet. This, however, was only a beginning of their system, for the
variety of pitches required in their enharmonic and chromatic scales,
and in the various transposition scales was so great that they
required sixty-seven characters for representing them. These
characters were written above the words to which they applied, and
they had additional marks for duration, especially in the later
periods of Greek music. Besides this they had an entirely different
set of characters for the same tones played upon the cithara, so that
a word<span class="pagenum"><SPAN name="Page_180" id="Page_180">[Pg 180]</SPAN></span> to be sung without accompaniment had one mark above it for the
pitch of the note, while if accompanied even by the same tone upon the
instrument, a second character was written for the instrumental part.
The system was wholly without classification, except that the letters
were applied from the lowest notes upward, the same as we now have
them. There was nothing to assist the eye in forming an idea of the
movement of the melody, and as the forms of the letters were very
similar in some cases there is no doubt that mistakes of copyists were
numerous. This, however, is a matter of little concern to us, since no
authentic melodies of the classical period have come down to us. The
example of Greek characters given on <SPAN href="#Page_69"></SPAN>, in connection with the Ode
of Pindar, sufficiently illustrates the nature of this notation,
although the interposition of the staff between the musical notes and
the words deprives the illustration of a part of its value.</p>
<p>The Romans had also a notation consisting of letters written above the
words to which they applied; they made use of the first fifteen
letters of the alphabet in the same manner as the Greeks, but we do
not know whether they employed the same characters for the instruments
and the voices, or had different ones. The only example we possess of
the Roman notation from classical times, or in close tradition from
classical times, is that in "Boethius' Consolations of Philosophy."
From the fact of this being the only place where the Roman notation is
illustrated, certain writers have concluded that Boethius invented
it—a supposition which is utterly improbable. Boethius mentions the
Roman notation, and employs it, as also does Hucbald in certain of his
examples, but neither one of them explains it or gives<span class="pagenum"><SPAN name="Page_181" id="Page_181">[Pg 181]</SPAN></span> any account of
its origin. We have simply to take it for granted that the Romans
transferred the letter notation of approximate pitch to their own
characters instead of using Greek letters. The following example from
Guido's book illustrates the appearance of the Roman notation as he
uses it:</p>
<p> </p>
<p style="text-align: center"><SPAN name="FIG_31">
<ANTIMG src="images/fig31.png" width-obs="600" height-obs="188" alt="Fig. 31" title="Fig. 31" /></SPAN></p>
<p style="text-align: center"><b>Fig. 31.</b></p>
<p style="text-align: center"><b>LETTER NOTATION OF GUIDO OF AREZZO, WITH DECIPHERING.</b></p>
<p style="text-align: center"><SPAN href="music/fig31.midi">[Listen]</SPAN></p>
<p> </p>
<p>The most curious notation of which we have a record was that of the
neumæ, or neumes, which were employed by the ecclesiastical writers
mostly from about the sixth century to the twelfth. This writing, as
will be seen from the examples hereafter given, very much resembled
the curves and hooks of the modern shorthand. The learned Fétis thinks
that the characters were derived from the Coptic notation, and these
again from the hieratic notation of the ancient Egyptians. The neumes
signified mostly intonations, upward or downward slides of the voice,
and not absolute pitch.</p>
<p> </p>
<p style="text-align: center"><SPAN name="FIG_32">
<ANTIMG src="images/fig32.png" width-obs="600" height-obs="132" alt="Fig. 32" title="Fig. 32" /></SPAN></p>
<p style="text-align: center"><b>Fig. 32.</b></p>
<p style="text-align: center"><b>NEUME NOTATION OF THE TENTH CENTURY.</b></p>
<p> </p>
<p>There are no clefs or other indications of the key, and it is little
better than sheer guesswork to attempt to decipher one of them, for
want of some one<span class="pagenum"><SPAN name="Page_182" id="Page_182">[Pg 182]</SPAN></span> single base mark to reckon from. Accordingly, the
various commentators have rendered the old pieces in a variety of
ways. It is probable that the imperfections of this notation were
helped out, when it was in current use, by tradition, which
appropriated certain keys to each of the principal hymns of the
Church; this being understood, the singer found himself able to make
something intelligible out of a notation which, without the help of
traditions, would have been meaningless. From about the eleventh
century the supposed meanings of the various signs of the neumes are
easily to be ascertained, because tables are given by a number of
writers of that period; but the earlier examples are practically
undecipherable. This notation came into use partly through
ecclesiastical influence, and partly owing to its being easy to write,
while at the same time it occupied little space upon the page. The
earlier examples, as already said, were without clefs or any means of
ascertaining the key note. After a while we find them with one line
representing do or fa, and the signs arranged above, below, or upon
the line, at intervals approximately representing the pitch intended.
Still later we find a colored line for fa, a thumb nail line traced on
the parchment, but not colored, for re, and a different one for la.</p>
<p> </p>
<p style="text-align: center"><SPAN name="FIG_33">
<ANTIMG src="images/fig33.png" width-obs="600" height-obs="209" alt="Fig. 33" title="Fig. 33" /></SPAN></p>
<p style="text-align: center"><b>Fig. 33.</b></p>
<p style="text-align: center"><b>NEUME NOTATION OF THE ELEVENTH CENTURY, DECIPHERED BY MARTINI IN
"GREGORIAN" NOTATION.</b></p>
<p style="text-align: center"><SPAN href="music/fig33mod.midi">[Listen]</SPAN></p>
<p style="text-align: center"><SPAN href="images/fig33mod.png">[View modern transcription]</SPAN></p>
<p> </p>
<p><span class="pagenum"><SPAN name="Page_183" id="Page_183">[Pg 183]</SPAN></span></p>
<p>Still later four lines were used. There were many varieties of forms
of the neumes employed by the different copyists and by different
nationalities, the heaviest marks of this kind being those of the
Lombard-Gothic represented in <SPAN href="#FIG_35">Fig. 35</SPAN>. These marks were afterward
written upon a four-line staff, and the note heads were derived from
them.</p>
<p> </p>
<p style="text-align: center"><SPAN name="FIG_34">
<ANTIMG src="images/fig34.png" width-obs="600" height-obs="88" alt="Fig. 34" title="Fig. 34" /></SPAN></p>
<p style="text-align: center"><b>Fig. 34.</b></p>
<p style="text-align: center"><b>NEUME NOTATION OF GUIDO OF AREZZO.</b></p>
<p> </p>
<p>There were no marks whatever for duration or measure in the neumes
notation, and its persistence through so long a time signifies very
plainly that it was not in the line of the musical life of the world,
but was a special hieratic notation made to answer for ecclesiastical
purposes by the help of carefully transmitted traditions.</p>
<p> </p>
<p style="text-align: center"><SPAN name="FIG_35">
<ANTIMG src="images/fig35.png" width-obs="600" height-obs="209" alt="Fig. 35" title="Fig. 35" /></SPAN></p>
<p style="text-align: center"><b>Fig. 35.</b></p>
<p style="text-align: center"><b>DECIPHERED NEUME NOTATION OF THE LATEST PERIOD.</b></p>
<p style="text-align: center"><SPAN href="music/fig35mod.midi">[Listen]</SPAN></p>
<p style="text-align: center"><SPAN href="images/fig35mod.png">[View modern transcription]</SPAN></p>
<p> </p>
<p>One of the oldest forms of this notation is that of the lament for the
death of Charlemagne, an extract from which is here presented,
together with its translation as given by Naumann.<span class="pagenum"><SPAN name="Page_184" id="Page_184">[Pg 184]</SPAN></span></p>
<p>Incidentally this illustration gives a fair specimen of mediæval
melody of the earlier period. It dates from the tenth century.</p>
<p> </p>
<p style="text-align: center"><SPAN name="LAMENT"></SPAN><b>"LAMENT FOR CHARLEMAGNE."</b></p>
<p style="text-align: center"><SPAN href="music/lament.midi">[Listen]</SPAN></p>
<p style="text-align: center">
<ANTIMG src="images/lament.png" width-obs="600" height-obs="446" alt="Lament for Charlemagne" title="Lament for Charlemagne" /></p>
<p style="text-align: center">
<ANTIMG src="images/lamentmusic.png" width-obs="600" height-obs="446" alt="Lament for Charlemagne" title="Lament for Charlemagne" /></p>
<p> </p>
<p><span class="pagenum"><SPAN name="Page_185" id="Page_185">[Pg 185]</SPAN></span></p>
<p>The earliest suggestion of the staff that we have is that in the work
of Hucbald already mentioned, in which he proposed to print the words
in the spaces of the staff of eleven lines, placing each syllable
according to its pitch (<SPAN href="#Page_141"></SPAN>). The staff, in connection with neumes,
as given above in <SPAN href="#FIG_34">Fig. 34</SPAN>, probably came into use about the same time
as that when Hucbald's book was written, but it was not until the days
of Guido of Arezzo that the staff was employed in anything like its
modern form, nor is it certain that Guido had anything to do with
introducing it. In one of the manuscripts of his book letters are
written upon the lines and spaces, and in another the neumes are
given. The note head was not invented until some little time after his
death, probably about fifty years.</p>
<p> </p>
<p style="text-align: center"><SPAN name="FIG_36">
<ANTIMG src="images/fig36.png" width-obs="400" height-obs="348" alt="Fig. 36" title="Fig. 36" /></SPAN></p>
<p style="text-align: center"><b>Fig. 36.</b></p>
<p style="text-align: center"><b>NOTATION OF THE FRENCH TROUVÈRES.</b></p>
<p> </p>
<p>By the time of Franco of Cologne, the four-lined staff with square
notes had come into use, the notes having the value already assigned
them in the chapter upon Franco of Cologne. (See <SPAN href="#Page_145"></SPAN>.) The place of
fa was marked by a clef, and with some few exceptions all the<span class="pagenum"><SPAN name="Page_186" id="Page_186">[Pg 186]</SPAN></span> musical
notation from this time forward is susceptible of approximate
translation. The term approximate is used above by reason of the fact
that no sharps or flats were written until long after this period, but
it is thought that they were occasionally interpolated by the singers
quite a long time before it became customary to put them into the
notation. In this way, for example, a piece of music beginning and
ending on the degree appropriate to fa might be brought within the
limits of the key of F by the singer changing B natural to B flat
wherever it occurred. Our information in regard to this practice is
extremely limited, and, in fact, rests upon two or three detached
hints. The signature was not employed until some centuries later.</p>
<p>As already mentioned in <SPAN href="#CHAPTER_XI">chapter XI</SPAN>, there was no measure notation for
a long time after Franco's death. The data are uncertain concerning
the exact time when the bar began to be used to mark the measure. Its
earliest use was that of marking the end of the music belonging to a
line of poetry. This is the same use as now made of the double bar in
vocal music. In fact, everything points to the progressive development
of music in all respects, and the development of what we might call
self-consciousness in musicians, whereby each succeeding generation
sought to place upon record a greater number of particulars concerning
their music, and to leave less and less to accident or tradition. This
progress has gone on until the present time, when two particulars of
our music are exactly recorded—the pitch and the rhythm. The exact
relation of every tone to the key note is ascertainable from our
musical notation, and the precise degree of rhythmic importance
appertaining to each tone according to its place in measure and in the
larger rhythms. We<span class="pagenum"><SPAN name="Page_187" id="Page_187">[Pg 187]</SPAN></span> are still lame in the matter of expression, and in
pianoforte music also in regard to the application of the pedals. Here
our notation affords only a few detached suggestions. If the master
works of the modern school could be noted for expression as completely
as for pitch and rhythm, the labor of acquiring musical knowledge
would be very greatly diminished.</p>
<p>The four-line staff has remained in use in the Catholic Church until
the present time, and with it the square notes. It is generally called
Gregorian, and by many is supposed to have been invented by Gregory
the Great; but as a matter of fact, about six centuries elapsed after
his death before this square-note notation came into use. The
five-line staff came into use about 1500. Information is wanting as to
the causes which led to its adoption in preference to the four-line
notation so long in use. The clef for do (C clef) remained in use
until very lately, and is still used by many strict theorists, being
written upon the first line for the soprano, the fourth line for the
tenor, the third line for the alto. The G clef, also, when first
introduced, was often written upon the third or the first line; the F
clef, moreover, was not definitely established on the fourth line
until toward 1700. In the scores of Palestrina's work, now published
in complete form, there are pieces written with the soprano in the G
clef upon the first line, the alto in the C clef upon the second line,
the tenor in the C clef upon the fourth line, and the bass in the F
clef upon the third line. This, while affording the eye two familiar
clefs, the treble and the bass, places them in such a way as to
practically make it necessary for the modern reader to transpose every
note of the composition in all the parts,<span class="pagenum"><SPAN name="Page_188" id="Page_188">[Pg 188]</SPAN></span> and, in fact, to effect a
transposition for each part upon principles peculiar to itself.</p>
<p>The progress of classification is distinctly seen in the use of seven
letters instead of fifteen, affording a tacit recognition of the most
essential underlying facts of harmony—<i>the equivalence of octaves</i>.
The staff, however, affords the eye no assistance at this point, since
the octaves of notes occupy relatively entirely different positions
upon it, the octave of a space being invariably a line, and the octave
of a line a space. Moreover, the octave of a bass line is always very
differently located when it falls upon the treble staff, and, <i>vice
versa</i>, the octave of a treble note falling in the bass is very
differently placed. If a notation had to be made anew it would no
doubt facilitate matters to make use of a staff so planned as to bring
out the equivalence of octaves more perfectly. A recent American
designer, Mrs. Wheeler, has proposed a double staff of six lines,
divided into two groups of three, for the treble and bass, thus
presenting for the piano score four groups of three lines each,
separated by smaller or larger intervals. Upon such a staff every tone
would fall in the same place upon the three lines in every octave, the
octave of the first line of the lower three would be the first line of
the second three, and so on.</p>
<p>This, however, is to anticipate. The smaller rhythmic divisions of the
measure were very little used in the old music which, if not sung in
slow time, was at least written in long notes, and the smaller
varieties of notes are the invention of a period perhaps rather later
than that at which we have now arrived. They belong to the elaborate
rhythmic construction of the music of Händel, Bach, Scarlatti and
Haydn.</p>
<p> </p>
<p style="text-align: center">
<ANTIMG src="images/deco4.png" width-obs="200" height-obs="37" alt="decoration" title="decoration" /></p>
<p> </p>
<p><span class="pagenum"><SPAN name="Page_189" id="Page_189">[Pg 189]</SPAN></span></p>
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