De Institutione Musica (On Music)
Boethius's 'De Musica' — the Latin transmission of the Greek mathematical music-theory
Tradition: Late-Roman quadrivium / Pythagorean-Platonic music-theory
Boethius's 'De Musica' — the standard medieval Latin music-theory textbook
Composed c. 500-510, Boethius's 'De Institutione Musica' is the principal Latin transmission of the Pythagorean-Platonic mathematical theory of music to the medieval West. The five books (the fifth fragmentary) treat the three kinds of music (musica mundana — the music of the spheres; musica humana — the harmony of soul and body; musica instrumentalis — actual sounding music), the mathematical ratios of intervals, the modes, and the cosmological-ethical significance of music. The work was the standard music-theory textbook in European universities into the fifteenth century.
Editions cited
- De Institutione Musica, ed. G. Friedlein (Teubner, Leipzig, 1867); English trans. Calvin M. Bower, Fundamentals of Music (Yale, 1989)
School Embodiments
Founding text of the medieval quadrivium.
"The three musics — mundane, human, and instrumental." (De Musica, book I, ch. 2)
Platonic-Pythagorean mathematical-cosmological music theory.
"Music links the structure of the soul to the structure of the cosmos." (De Musica, book I)
Late-antique Neoplatonic transmission.
"The Pythagorean tradition through Nicomachus and Ptolemy." (De Musica, sources)
Rationalist-mathematical methodology.
"The mathematician judges; the musician merely senses." (De Musica, book I, ch. 34)
Natural-theological frame — divine order in musical ratios.
"The divine harmony pervades the cosmos." (De Musica, book I, ch. 1)
Aristotelian-mathematical scientific methodology.
"Music as a mathematical discipline." (De Musica, prologue)
Internal Tensions
The standard medieval music-theory textbook for a thousand years.
I. Time
c. 500-510.
Attributes
II. Space
Ostrogothic Rome.
Attributes
III. Matter
Five-book Latin treatise.
Attributes
IV. Observer
Early Boethius.
Attributes
V. Energy
Quadrivial transmission energies.
Attributes
VI. Information
Standard medieval-university textbook.
Attributes
Personas that cite this work
Personas with the nearest attribute fingerprint
Historical figures whose own classification on the same six-dimensional grid lands closest to this work's. Computed by attribute-agreement on coordinates both address.
Computed school proximity
The work's attribute fingerprint scored against all schools using the same quiz scorer. Useful as a sanity check on the hand-curated embodiments above.
How De Institutione Musica (On Music) resolves each dilemma
48 resolved positions across 4 dimensions, including 7 distinctive where the majority of schools go the other way · 9 unaligned.
Each dimension is sorted so minority positions come first. Mainstream positions are folded into an expandable list.
Time · 9 dilemmas, all mainstream
Matter · 7 dilemmas, all mainstream
Observer · 37 dilemmas · 5 distinctive
Mind, agency, and the knower's relation to the known.