Includes music.

Ptolemy's comprehensive treatises on astronomy and geography were influential for nearly two millennia. Equally influential was his treatise on harmonics, the ancient science which combined and brought to completion the study of philosophy and science. This volume offers a comprehensive English translation and commentary of Ptolemy's Harmonics. The treatise begins with Ptolemy's study of pitches and intervals, for which he extracts both an idealized musical scale and a new acoustical tool. After discussing modulation, he expands his horizons by applying musical intervals to the human soul and celestial bodies, ultimately describing a cosmic harmony. The English translation faithfully reproduces Ptolemy's style and includes all the charts surviving in the manuscript tradition. The commentary offers a full exegesis of the text, loci paralleli, and citations of modern scholarly sources.

Johannes Ciconia (ca. 1370?1412) is well known today as a composer both of sacred and secular music, but his theoretical works, probably written in Padua during the first decade of the fifteenth century, have until now been available only in manuscript form. This is the first complete edition of both of Ciconia?s theoretical works: the Nova musica, with its attendant De tribus generibus melorum, and the shorter De proportionibus, itself a revision of the third book of the Nova musica. ø The Nova musica is unique as the only only large-scale speculative work of the period known to have been written by an accomplished composer. The purpose of the work, clearly stated by Ciconia in the prologue, is to return to the writings of earlier authors (through the eleventh century) and, with their material as a basis, to redefine the scope of the discipline of music so that is may be classified and may function as one of the literary arts, in addition to its usual standing as a mathematical discipline. ø The first three books consist largely of quotations from earlier authors, covering the topics of consonance (intervals and the scale), species (modes), and proportions. Much of this material parallels large sections of the famous Lucidarium of Marchetto of Padua. ø In the fourth and final book, Ciconia demonstrated how, by means of the material already presented, chants can be classified and declined or parsed according to the principles of grammar. This new view of music can be regarded as a clear indication of the new humanistic approach to the arts. ø Two plates and more than one hundred figures illustrate the edition. The plates provide representative and contrasting examples of the handwriting and format of the illustrations in two of the principal sources.