A Popular History of the Art of Music / From the Earliest Times Until the Present

by W. S. B. Mathews

In the "Epistola de Harmonica Institutione ad Rathbodum Episcopum Trevinesem" ("Letter to Rathbodum, Bishop of Treves"), there is mention of the instruments of music during the seventh and eighth centuries. They are the cithara and harp as the stringed instruments; musetts, syrinx and organ among the wind instruments; cymbals and drums, instruments of percussion. In the tenth century there was a methodical treatise upon music in dialogue form, published by Odon, abbot of Cluny, who died in this monastery November 18, 942. This work, which was wrongfully attributed to Guido of Arezzo, contains a number of analyses of intervals showing an understanding of the exact dimensions of the various kinds of fourths, fifths, thirds and sixths. According to his doctrine, the intervals of the fourths, fifths and octaves are more natural for the voice than the others called thirds and sixths, because the former are invariable, while the latter may be larger or smaller by a half step. He makes a summary of ecclesiastical chant, mentioning the modes as established by St. Gregory, illustrating each of them by a selection from the "Plain Song." It is a fact significant of the unsettled condition of musical theory and the complete unconsciousness of musical amateurs that any essential change in the art was being undergone, that as late as 1000 or 1020 Adelbold, Bishop of Utrecht, published a treatise upon music in which the proportions of the tetrachords are calculated carefully according to the Greek theories, and demonstrated upon the monochord.

III.

The most important writer upon music in the eleventh century, and one of the most famous in the history of the art, was a monk named Guido, living at Arezzo, in Tuscany, a Benedictine in the abbey of Pontose. He was a remarkably skillful teacher of ecclesiastical singing, both in his own monastery and at Rome, and in the effort to systematize the elements of music he introduced a number of important reforms, and is credited by later writers with many others which he did not himself originate, but which grew out of some of his suggestions. He is generally credited with having invented the art of solmization, the introduction of the staff, the use of the hand for teaching intervals, and the introduction of notes. He was not the first who introduced the staff. Hucbald, as we have already seen, employed the spaces between the lines for designating pitch. Between his time and that of Guido, one or more lines were introduced in connection with the neumæ, as will be more particularly illustrated in [chapter XV]. Guido, however, employed both the lines and the spaces, but instead of notes he wrote the Roman letters upon the lines and spaces according to their pitch. The notes were invented shortly after his time. For determining the correct pitch of the notes of the scale he explains the manner of demonstrating them upon the monochord. He mentions organum and diaphony, and remarks that he finds the succession of fifths and fourths very tiresome. The last treatise of the thirteenth century was written by John Cotton, an English monk, whose entire theory of music is made up from the Greek works.

Fig. 29.

GUIDO OF AREZZO.

This summary of the didactic writers between Boethius and Franco at Cologne fully confirms the justice of the remark, in the [chapter previous], concerning the influence of the Church upon music. At the very time when a well marked beginning was being made in counterpoint by the old French school at Paris, and when the English, Welsh and Scandinavian musicians were in possession of an art of expressive melody resting upon a simple harmonic foundation, these writers can find nothing to say but to repeat over and over again their tedious calculations concerning the intonations of nete hypate and the other Aristoxinean notes in the enharmonic and chromatic genera, which had been dead names in the art of music for more than ten centuries.

With the appearance of Franco at Cologne, there is something new in music. Late in the twelfth century he wrote a treatise upon measured music, the first one in all the history of the art, so far as we know, in which musical measure is treated independently of verse, and a notation given for representing it. He recognizes two kinds of measure—triple or perfect, and duple or imperfect. He gives four kinds of notes—the shortest being the brevis, an oblong note having twice the value of a whole note; a short stem affixed to this note doubled its value. It was then called the longa. A note head twice as long represented a still longer duration, called the maxima or longest. There was also a semibreve, a diamond-shaped note which was used when two or more tones were sung to one syllable. There were no bars for indicating the place of the strong pulse in the measure, but a bar was used to show the end of the musical phrase belonging to a line of verse. The notation was made still more uncertain by the license of the breve in triple time being equal to three semibreves, and so in general each long note in triple measure being equal to three of the next class shorter. In short, the time notation was of the most crude and imperfect description, but it was at least a beginning, and all the theoretical writers upon music for the next two centuries rest in the precepts of Franco of Cologne, as a sure stronghold, where no false doctrine can find admission. Franco remarks, concerning the dissonances, that the imperfect dissonances, the thirds and sixths, go very well between two consonances, showing that in his time the third and sixth were still regarded as licenses in harmony to be explained or excused. The general principle that any dissonance is admissible when smoothly placed between two consonances is a fundamental law of modern counterpoint.

There was another Franco whose work has often been confounded with that of the celebrated master at Cologne. Franco of Paris was connected with the Sorbonne or with Notre Dame, and his writing had mostly to do with harmonic music. He classifies the consonances as—complete, the unison and octave; the incomplete, the major and minor thirds; the middle, the fourth and fifth. This is the first instance in musical theory where the third has been recognized as a consonance. Among the dissonances he classes the major and minor sixth as incomplete, and says concerning these two only that immediately before a consonance any incomplete dissonance goes very well. From the superior celebrity of the Cologne Franco the work of the Parisian master was overlooked for many years, and it is only through the investigation of Coussemaker that his real standing and importance have been ascertained.