This is very unpleasant to modern ears, yet it is not quite so bad as a series of fifths. When Hucbald wished to write in four parts he simply repeated the two treble parts in the bass an octave lower. And when he wrote in three parts he simply "doubled" the lower note of his fourth or fifth in the octave above, which is a process also forbidden in modern part writing because it makes two parts the same in melodic progression. Hucbald also employed a form of harmony in which the lowest note always remained the same. This was what we now call a "drone bass," such as is heard in the bagpipe, and it was certainly more flexible than the other kind because it admitted of the use of other intervals than the fourth and fifth. But the idea of writing in more than one part, once having appeared in music, developed itself gradually. All the earliest harmonic combinations sound ugly to our ears because of the difference in the character of the old scales adapted from Greek music for the Church and that of our scale. If the harmonists of those early days had been using our scale, no doubt they would have discovered how to write fine chords. They did, in the course of time, hit upon some of the combinations now used, and so the foundations of modern harmony were laid. But the modern style of writing did not come into use for several centuries after Hucbald's time.

The next element of music which made its appearance was rhythm. This came about through the improvements in notation and the practice of singers. It seems that after learning to add a second part to the cantus firmus, or chant, the singers, who were acquiring considerable dexterity in their art, began to ornament the additional part. This addition of ornaments was called the art of descant, because it was descanting upon a given theme. The singers all took to it with delight because it gave them fine opportunities for the display of their voices and of their musical skill. In some parts of France and the Netherlands this practice became a sort of mania. The voice which carried the chant was called the tenor, from the Latin teneo, "I hold." The other voice added an ornamental part above the chant, and as there was no measure in music, the two parts seldom came out together at the end. As long as the voices had moved in parallel fourths or fifths it was not difficult for them to keep together, but with the descanter singing two or more notes to every one of the cantus firmus it was quite impossible for them to do so. No one knows just when this art of descant entered into music, but it is certain that it was known some time before the close of the twelfth century, for it was about then that Franco, of Cologne, made successful attempts to systematize notation, and in doing so regulated the measure of music.

The earliest form of notation of which we have any knowledge is called the Neume notation. These Neumes were much like Greek accents in some respects, and in others resembled a sort of shorthand. All that could be accomplished by them was an indication of the direction in which the voice was to move, whether up or down, and of the number of notes which it was to pass. In Hucbald's day a series of horizontal lines, like our musical staff (but containing many more lines) was used. The names of the notes were written opposite the ends of the spaces between the lines, and then each syllable of the text was written in the space belonging to the note to which it was to be sung. Short lines were drawn upward or downward, as the case might be, between each syllable of one part so that that part could be followed. Another system in use in Hucbald's time, and even later, was arranged this way, the letters representing the tones:—

[Listen: Upward and Downward Lines]

[View Larger Image Here.]

[Lau-de dig-num ca-nat sanc-tum.]

As time passed on it became evident that there ought to be some way of indicating a fixed pitch from which the notes were to start. So a line was employed and the Neumes were written in a definite manner with relation to it. If the line was red, the chant was in the key of F, and all melodies ended on F. If the line was yellow, the key was C. In the eleventh century both lines were used at the same time, and the certainty of the meaning of the Neumes became greater. Afterward Guido, of Arezzo, a famous teacher and theorist, who died in 1050, added two more lines, and thus came into existence a four-line staff. The character of the Neumes themselves had undergone many alterations, until, in Guido's time, they began to look a little like modern notes. But still there was no rhythm in the ecclesiastical music, and no way of representing it in notation. Franco advocated the introduction of measure into church music. He did not, of course, invent it, for it already existed in the popular songs and dances of the people, and had existed in them from the earliest times.

Franco was the first theorist to record the distinction between dual and triple time. The reader who is unacquainted with musical science should learn that the rhythms of music are like those of poetry. Instead of poetic feet, music has "measures" separated by vertical lines drawn through the staff, and called "bars." Measures are often called bars. The musical measure corresponds to the poetic foot. A bar with two beats in it is like a foot of two syllables, except that in music the accent is normally always on the first beat. A bar with three beats is like a dactyl, one accented and two unaccented syllables, or beats. Dual time, or measure, corresponds to a poetic rhythm made up of two-syllable feet; triple time to one of three-syllable feet. A polka is in dual time; a waltz, in triple time. Franco first explained these points, and insisted that triple ought to be used in church music for the naïve reason that its three beats in one bar made it resemble the perfection of the Holy Trinity, three persons in one God. He made many improvements in harmony, among others recognizing the third, already described, as a concord, though not a perfect one. Another important feature of Franco's teaching was his advocacy of contrary motion of parts. The manner of writing practised by Hucbald prescribed what is called parallel motion; that is, the melody of the cantus firmus and that of the descant always rose or fell together. If the one ascended one interval the other did so, too. Contrary motion permits the parts to move in opposite directions, and this makes it possible to avoid such disagreeable arrangements as consecutive fourths or fifths, and so leads the way to a richer and more beautiful harmony. Others had already practised what Franco preached in regard to this matter, so the most significant part of his work was that which dealt with measure. In order to write the measured music it was necessary to have notes representing sounds of different duration, and these notes Franco either invented or adopted. Here are the four notes which he used:—