Critical and Historical Essays, Edward MacDowell [fun to read .txt] 📗

High) (Hard Super Acute)]

To the lowest note of this scale, which was foreign to the Greek system, he gave a special name, gamma, after the Greek letter G. From this we get our word for the scale, the gamut. The other notes remained the same as before, only that for the lowest octave capital letters were used; in the next octave, the notes were designated by small letters, and in the last octave by double letters, aa, bb, etc., as in the following example.

[F: g, g G: a g' | a' g'' ]
[W: Capitals. : Small letters | Double or very small letters]


PRESENT SCALE.

[F: c,, | c, | c G: c' | c'' | c''' | c'''']
[W: C | C | c : c' | c'' | c''' | c'''']
[W: Contra | Great | Small : 1st | 2nd | 3rd | 4th ]

Following out his system, he applied the newly acquired syllables to each of the hexachords-for instance, the lowest hexachord, G A B C D E, which was called hard, became ut re mi fa sol la; the second, which was called natural, C D E F G A, also became ut re mi fa sol la; and the third, which was called soft, F G A B[flat] C D, became likewise ut re mi fa sol la. The next three hexachords were treated in the same manner; the last or seventh hexachord was merely a repetition of the first and the fourth.

Now in the hymns, and also in the sequences, as they were called (which were simply a series of notes forming a little melody sung to two or three words), the voice was rarely called upon to progress more than the interval of a sixth, and so this solmization, as the new system was called, was very valuable; for one had only to give the pitch, and ut always meant the keynote, re the second, mi the third, etc., etc. In time ut was found to be a difficult syllable to sing, and do was substituted. This change, however, was made after the scale was divided into a system of octaves instead of hexachords. The improvement in singing soon made the limits of the hexachords too small to be practical; therefore another syllable was added to the hexachordal system, si, and with this seventh note we have our modern scale. From this we see that the scale in present use is composed of octaves, just as the older scales were composed of hexachords, and before that tetrachords. Just as in mediaeval times each hexachord commenced with ut, so now every octave of our tonal system commences with do.

Before leaving the hexachordal system, it may be as well to explain the mode of procedure when the voice had to go beyond the interval of the sixth. We know that the first of every set of six notes was called ut, the second, re, the third, mi, etc. When the voice had to go beyond la, the sixth note, to B[natural], that sixth note was always called re, and was considered the second note of a new hexachord. If, on the other hand, the voice had to go beyond a, to B[flat], the fifth note was called re, since the syllables mi fa must always come on the half-tone.

In a study of our system of writing music, it may be as well to begin with the derivation of our sharps and flats. Observing the third hexachord on our list we see that in order to make it identical in structure with the first and second, the B had to be lowered a semitone. Now the third hexachord was called soft. The B[flat] in it was accordingly called a soft B or B molle, which is still the name in France for a flat, and moll in German still means minor, or "soft" or "lowered." For the fourth hexachord, which was called hard, this B was again raised a semitone. But the flatted B was already indicated by the letter b or round b, as it was called; hence this B natural was given a square shape and called B carré, [illustration]. The present French word for natural (when it is specially marked) is bécarré; the German word for major also comes indirectly from this, for dur means "hard."

An explanation of the modern German names for notes will be easily understood in this connection. In the German nomenclature the letters of the alphabet stand for the notes of the scale as in the English, with the exception of B. This B, or "round" B, in the German system stands for B[flat], which is more logical than our English usage, since our flat is merely a slightly modified form of b. The German B natural is our letter h, which is merely a corruption of the square b, [illustration], which by the addition of a line in time became our [natural]. The Germans have carried the flatting and sharping of tones to a logical conclusion in their present nomenclature, for by "sharping" the sound of a single letter it is raised a semitone from its normal diapason, thus F becomes Fis, G Gis. On the other hand, in order to lower a tone, the letter representing it is "flatted," and F is called Fes, G Ges, the only exception to these rules being the B which we have already considered.

In France the Guidonian system was adhered to closely, and to this day the bécarré is used only as an accidental, to indicate that the note to which it refers has been flatted before. The naturel (which has the same shape) is used to designate a note that is natural to the key; thus the distinction is made between an accidental and a note that is common to the key. In F major, for instance, B[natural] is si bécarré, A[natural] would be la naturel. Our modern sharp is merely another form of the natural or square B ([natural]) which gradually came to be used before any note, signifying that it was raised or sharped a half-tone; the flat lowered it a semitone, and after a while the natural received its present place between the sharp and flat. The first instance we have of the sharp being used is in the thirteenth century, when (in the Rondels of Adam de la Hale) it takes the form of a cross [x] (the German word for the sharp still remains kreuz). The French word diese (sharp) comes from the Greek diesis, a term used to indicate the raising of the voice in the chromatic scale.

And now we have to speak of notation and its development. Thus far we have found only two ways in which musical sounds were indicated by the ancients. First, we remember the invention of Aristophanes of Alexandria, his accents, high, low, and circumflex. Then we know from Ptolemy, Boethius, and Alypius that letters were used to designate the different tones; but as there is no music extant in this notation to prove the theory, we need not trouble ourselves with it.

The system of Aristophanes, however, was destined to become the nucleus from which our modern notation sprang. We know that an elementary idea, clearly expressed, has more chances of living than has a more complicated system, however ingenious the latter may be. Now this system is so plain that we will find it is common to many aboriginal peoples, for instance the American Indians have a system very similar.

In the period now under consideration (from the third to the tenth century), music was noted in this way: an upstroke of the pen meant a raising of the voice, a downstroke lowered it, a flat stroke meant a repetition of the same note, thus [/ -] [G: c' g' c' c']. Gradually it became necessary to indicate the contour of the melodies with more accuracy; therefore the circumflex was added [Over-slur] [G: g' c'' g'] and reversed [Under-slur] [G: g' e' g']. Still later a sign for two steps was invented [Step] [G: e' g' b'] and when the progression was to be diatonically stepwise the strokes were thicker [Thick Step] [G: g' a' b']. So this notation developed, and by combining the many signs together, simple non-rhythmic melodies could be indicated with comparative clearness and simplicity. The flat stroke for a single note [-], indicating [G: b'], eventually became smaller and thicker, thus [Thick -]. By combining these different signs, a skip of a third and back came to be noted [Crenellation], and if the note came down on a second instead of the original note it became [Podium] [G: g' b' a']. The quilisma ([Upper Mordent]) indicated a repetition of two notes, one above the other, and we still use much the same sign for our trill. Also the two forms of the circumflex, [Over-slur] [Under-slur], were joined ([Turn]) and thus we have the modern turn, so much used by Wagner.

Now while this notation was ingenious, it still left much to be desired as to pitch. To remedy this a red line was drawn before writing these signs or neumes, as they were called. This line represented a given pitch, generally E; above and below it were then written the signs for the notes, their pitch being determined by the relative position they held in regard to the line. Thus [Podium, Turn, Upper Mordent] was the equivalent of [G: c' e' d' e' d' c' d' e' d' e' d' e' d'], considering the line as being middle C pitch, a fourth higher F. This was the condition of musical notation in 1000 A.D.

To Guido d'Arezzo is ascribed its development up to some semblance of our present system, although the claim has often been denied. It is certain, however, that the innovations were made at this period. In the first place Guido made the red line always stand for the pitch of F, and at a little distance above it he added another line, this time yellow, which was to indicate the pitch of C. Thus the signs began to take very definite meaning as regards pitch; for, given a sign extending from one line to the other, the reader could see at a glance that the music progressed a fifth, from F to C, or vice-versa. And now the copyists, seeing the value of these lines in determining the pitch of the different signs, of their own account added two more in black ink, one of which they drew between the F and the C line, and the other above the C line, thus [illustration]. By doing this they accurately decided the pitch of every note, for the lowest line, being F, the line between that and the C line must stand for A, and the two spaces for G and B; the top line would stand for E, and the space between it and the yellow line for D. Little by little these copyists grew careless about making the lines in yellow, red, and black, and sometimes drew them all in black or red, thereby losing the distinguishing mark of the F and C lines. In order to remedy this, Guido placed the letters F and C before the lines representing these notes, thus [illustration]. In this way our