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Unformatted text preview: Rudolf. Architectural Principles in the Age of Humanism. NY: Random, 1965. 43a. This diagram from a book written in 1518 shows the famous Renaissance musical theorist Franchino Gafurio with three organ pipes and 3 strings marked 3 , 4, 6. This indicates the octave, 3 : 6 divided by the harmonic mean 4, into the fourth, 3 : 4, and the fifth, 4 : 6 or 2 : 3. The banner reads, "Harmonia est discordia concors" or Harmony is discordant concord , propounding the thesis that harmony results from two unequal intervals drawn from dissimilar proportions. The diagram shows compasses, suggesting a link between geometry and music....
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- Fall '10
- Ratio, Octave, H. W. History, Harmonia est discordia, music book frontispiece