Pythagoras in the

Pythagoras in the - Rudolf. Architectural Principles in the...

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Pythagoras in the School of Athens Slide 3-3: Closeup of Tablet Bouleau Janson, H. W. History of Art. Fifth Edition. NY: Abrams, 1995. p.497 Raphael's School of Athens shows Pythagoras is explaining the musical ratios to a pupil. Notice the tablet. It shows: The words diatessaron, diapente, diapason . The roman numerals for 6, 8, 9, and 12, showing the ratio of the intervals, same as in the music book frontispiece. The word for the tone, ΕΠΟΓΛΟΩΝ, at the top. Under the tablet is a triangular number 10 called the sacred tetractys , that we mentioned earlier. The Harmonic Scale
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Slide 3-5: Gafurio Lecturing F. Gafurio, De Harmonia musicorum instrumentorum, 1518, Wittkower,
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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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Pythagoras in the - Rudolf. Architectural Principles in the...

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