The Euclidean Division of the Canon: Greek and Latin Sources : New Critical Texts and Translations on Facing Pages, with an Introduction, Annotations, and Indices Verborum and Nominum Et Rerum
U of Nebraska Press, 1991 - Music - 316 pages
The Division of the Canon is an ancient Pythagorean treatise on the relationship between mathematical and acoustical truths. Euclidean in style, sectional in nature, and essentially Pythagorean, the Division has been susceptible to quotation since antiquity and has attracted the attention of many musicologists, classicists, mathematicians, and historians of science.
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acoustical propositions aequi Archytas Aristoxenus arithmetic authorship B. G. Teubner Barbera Boethius Boethius's Canon CaRc century Cleonides codices consonant contains deest diagrams diapason diapente diatessaron diezeugmenon Division duple duple interval edition eius quod emendations enharmonic genus Enharmonic Passage eorai eori eoriv equal Euclid Euclid's Elements Euclidean Euclidean Division Greek Harmonic Introduction hereafter hyparchetype igitur infra institutione musica intervallum JanMg long version manuscripts marg mese meson metitur Monochord multiple of G multiplex music theory nete Nicomachus notes numbers Parisinus lat pitch PjVa Porphyry Porphyry's commentary praet proof proportionately Proposition 11 Ptolemy pyknon Pythagorean quaes readings scholion scribe Sectio canonis sesquialter sesquioctave sesquitertian sources superparticular ratio tion tone translation treatise TroAAaTrAdo-iov Trpos UpVn Vaticanus gr VeVw Zosimus