Quadrivium in the context of "Classical education"

The trivium is the lower division of the seven liberal arts and comprises grammar, logic, and rhetoric.

The trivium is implicit in De nuptiis Philologiae et Mercurii ("On the Marriage of Philology and Mercury") by Martianus Capella, but the term was not used until the Carolingian Renaissance, when it was coined in imitation of the earlier quadrivium. Grammar, logic, and rhetoric were essential to a classical education, as explained in Plato's dialogues. The three subjects together were denoted by the word trivium during the Middle Ages, but the tradition of first learning those three subjects was established in ancient Greece, by rhetoricians such as Isocrates. Contemporary iterations have taken various forms, including those found in certain British and American universities (some being part of the Classical education movement) and at the independent Oundle School in the United Kingdom.

Monastic schools (Latin: Scholae monasticae) were, along with cathedral schools, the most important institutions of higher learning in the Latin West from the early Middle Ages until the 12th century. Since Cassiodorus's educational program, the standard curriculum incorporated religious studies, the Trivium, and the Quadrivium. In some places monastic schools evolved into medieval universities which eventually largely superseded both institutions as centers of higher learning.

Music theory is the study of theoretical frameworks for understanding the practices and possibilities of music. The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology that "seeks to define processes and general principles in music". The musicological approach to theory differs from music analysis "in that it takes as its starting-point not the individual work or performance but the fundamental materials from which it is built."

Music theory is frequently concerned with describing how musicians and composers make music, including tuning systems and composition methods among other topics. Because of the ever-expanding conception of what constitutes music, a more inclusive definition could be the consideration of any sonic phenomena, including silence. This is not an absolute guideline, however; for example, the study of "music" in the Quadrivium liberal arts university curriculum, that was common in medieval Europe, was an abstract system of proportions that was carefully studied at a distance from actual musical practice. But this medieval discipline became the basis for tuning systems in later centuries and is generally included in modern scholarship on the history of music theory.

Liberal arts education (from Latin liberalis 'free' and ars 'art or principled practice') is a traditional academic course in Western higher education, which traditionally covers the natural sciences, social sciences, arts, and humanities. Liberal arts takes the term art in the sense of a learned skill rather than specifically the fine arts. Liberal arts education can refer to studies in a liberal arts degree course or to a university education more generally. Such a course of study contrasts with those that are principally vocational, professional, or technical, as well as religiously based courses.

The term liberal arts for an educational curriculum dates back to classical antiquity in the West, but has changed its meaning considerably, mostly expanding it. The seven subjects in the ancient and medieval meaning came to be divided into the trivium of rhetoric, grammar, and logic, and the quadrivium of astronomy, arithmetic, geometry, and music. Liberal arts colleges and schools often have names such as arts and social sciences, arts and sciences and humanities. Liberal arts degrees from today's universities and colleges traditionally include the following disciplines: Anthropology, English, Literature, Fine arts, Foreign languages, Philosophy, Psychology, Sociology, Music, Journalism, Economics, Law, Communications, Architecture, Creative arts, Art, and History. Degrees in Liberal studies are often confused with those in a liberal arts discipline. Liberal studies refers to degrees with a broad curriculum, across multiple liberal arts disciplines and/or sciences and technologies.

Music theory is the study of theoretical frameworks for understanding the practices and possibilities of music. The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first refers to the "rudiments" needed to understand music notation such as key signatures, time signatures, and rhythmic notation; the second is a study of scholars' views on music from antiquity to the present; the third is a sub-topic of musicology that "seeks to define processes and general principles in music". The musicological approach to theory differs from musical analysis "in that it takes as its starting-point not the individual work or performance but the fundamental materials from which it is built."

Music theory is frequently concerned with describing how musicians and composers make music, including tuning systems and composition methods among other topics. Because of the ever-expanding conception of what constitutes music, a more inclusive definition could be the consideration of any sonic phenomena, including silence. This is not an absolute guideline, however; for example, the study of "music" in the Quadrivium liberal arts university curriculum, that was common in medieval Europe, was an abstract system of proportions that was carefully studied at a distance from actual musical practice. But this medieval discipline became the basis for tuning systems in later centuries and is generally included in modern scholarship on the history of music theory.