time. It was natural therefore that these first church tunes should have been changed to dances in the hands of the common people. Even in these dances it is interesting to note that the same symbolic significance appears to be present, for the earliest form of these dances was the “round song,” or roundelay, and it was danced in a circle.
Duple time did not come into general use until the beginning of the fourteenth century. About the same time, the organum (as it was called) or system of harmonization of Hucbald was discarded, and Johannes de Muris and Philippe de Vitry championed the consonant quality of the third and sixth, both major and minor. The fifth was retained as a consonant, but the fourth was passed over in silence by the French school of writers, or classed with the dissonants. Successive fifths were prohibited as being too harshly dissonant, but successive fourths were necessarily permitted, as it would be an impossibility to do without them. Nevertheless, the fourth was still considered a dissonance, and was permitted only between the upper parts of the music. Thus the harsh consecutive passages in fifths and fourths of the organum of Hucbald disappeared in favour of the softer progressions of thirds and sixths.
In order to make clear how the new science of counterpoint came into existence, I must again revert to Hucbald.[ 9 ]
Before his time, all “recognized” music was a more or less melodious succession of tones, generally of the same length, one syllable being sometimes used for many notes. He discovered that a melody might be sung by several singers, each commencing at a different pitch instead of all singing the same notes at the same time. He also laid down rules as to how this was to be done to produce the best effect. We remember why he chose the fourth, fifth, and octave in preference to the third and sixth. He called his system an “organum” or “diaphony,” and to sing according to his rules was called to “organize” or “organate.” We must remember that at that time fourths and fifths were not always indicated in the written music; only the melody, which was called the principal or subject. By studying the rules prescribed for the organum, the singers could add the proper intervals to the melody. We must keep in mind, however, that later fourths were preferred to fifths (being considered less harsh), and that the musical scale of the period compelled the different voices to vary slightly, that is to say, two voices could not sing exactly the same melody at the interval of a fourth without the use of sharps or flats; therefore one voice continued on the same note until the awkward place was passed, and then proceeded in fourths again with the other voice as before:
On account of the augmented fourth that would occur by a strict adherence to the melodic structure of the subject, the following would have been impossible:
Thus we find the first instance of the use of thirds, and also of oblique motion as opposed to the earlier inevitable parallel motion of the voices. This necessary freedom in singing the organum or diaphony led to the attempt to sing two different melodies, one against the other—“note against note,” or “point counter point,”[ 10 ] point or punct being the name for the written note. There being now two distinct melodies, both had to be noted instead of leaving it to the singers to add their parts extemporaneously, according to the rules of the organum, as they had done previously. Already earlier than this (in 1100), owing to the tendency to discard consecutive fourths and fifths, the intermovement of the voices, from being parallel and oblique, became contrary, thus avoiding the parallel succession of intervals. The name “organum” was dropped and the new system became known as tenor and descant, the tenor being the principal or foundation melody, and the descant or descants (for there could be as many as there were parts or voices to the music) taking the place of the organum. The difference between discantus and diaphony was that the latter consisted of several parts or voices, which, however, were more or less exact reproductions, at different pitch, of the principal or given melody, while the former was composed of entirely different melodic and rhythmic material. This gave rise to the science of counterpoint, which, as I have said, consists of the trick of making a number of voices sing different melodies at the same time without violating certain given rules. The given melody or “principal” soon acquired the name of cantus firmus, and the other parts were each called contrapunctus,[ 11 ] as before they had been called tenor and descant. These names were first used by Gerson, Chancellor of Notre Dame, Paris, about 1400.
In the meantime (about 1300–1375), the occasional use of thirds and sixths in the diaphonies previously explained led to an entirely different kind of singing, called falso bordone or faux bourdon (bordonizare, “to drone,” comes from a kind of pedal in organum that first brought the third into use). This system, contrary to the old organum, consisted of using only thirds and sixths together, excluding the fourth and fifth entirely, except in the first and last bars. This innovation has been ascribed to the Flemish singers attached to the Papal Choir (about 1377), when Pope Gregory XI returned from Avignon to Rome. In the British Museum, however, there are manuscripts dating from the previous century, showing that the faux bourdon had already commenced to make its way against the old systems of Hucbald and Guido. The combination of the faux bourdon and the remnant of the organum gives us the foundation for our modern tone system. The old rules, making plagal motion of the different voices preferable to parallel motion, and contrary motion preferable to either, still hold good in our works on theory; so also in regard to the rules forbidding consecutive fifths and octaves, leaving the question of the fourth in doubt.
To sum up, we may say, therefore, that up to the sixteenth century, all music was composed of the slender material of thirds, sixths, fifths, and octaves, fourths being permitted only between the voices; consecutive successions of fourths, however, were permitted, a license not allowed in the use of fifths or octaves. This leads us directly to a consideration of the laws of counterpoint and fugue, laws that have remained practically unchanged up to the present, with the one difference that, instead of being restricted to the meagre material of the so-called consonants, the growing use of what were once called dissonant chords, such as the dominant seventh, ninth, diminished seventh, and latterly the so-called altered chords, has brought new riches to the art.