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**Dave Richeson**| June 20, 2012## Plato’s approximation of pi?

Posted in Math | Tags: approximation, Karl Popper, Math, pi, Plato, Timaeus

A blog about math, puzzles, teaching, and academic technology

Posted by: **Dave Richeson** | June 20, 2012
## Plato’s approximation of pi?

Posted in Math | Tags: approximation, Karl Popper, Math, pi, Plato, Timaeus

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Borzacchini, Luigi. Incommensurability, music and continuum: a cognitive approach. (English). Arch. Hist. Exact Sci. 61, No. 3, 273-302 (2007).

Borzacchini argues that music ratios provides the “secret of the sect” for the irrational continuum. Plato’s Timeaus is based on Pythagorean philosophy but using irrational numbers as music tuning. This is tied to Archytas and Eudoxus.

Karl Popper stated that Kepler’s Pythagorean philosophy was the precursor of Schrodinger and Poppler then stated that harmonic resonance governs science and reality.

I wonder if this is tied to Egypt using 9/8 for solving the area of a circle with 9/8 also as the major 2nd music interval from Egypt’s sacred unit fraction of 2/3. The 2/3 has to be the subharmonic or inversion of 3/2, the Perfect Fifth music interval, which was squared to 9/4 and then halved to 9/8. So then 9/8 cubed was the solution for the square root of two as the tritone music interval. This is also discussed by musicologist Ernest McClain’s book the Pythagorean Plato.

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drew hempelon July 30, 2012at 8:37 pm

Thanks for sharing this article. I look forward to reading it. (I don’t know too much about music theory, but I’m interested in learning more.)

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Dave Richesonon July 31, 2012at 1:52 pm

[…] Richeson shares his readings about Plato’s approximation of posted at Division by […]

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Mathematics and Multimedia Blog Carnival 23on August 18, 2012at 11:21 am

355/113=3.141592………. is a best approximation of pi using integers less than 1000.

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vijayanon September 14, 2012at 10:55 pm

[…] Richeson shares his readings about Plato’s approximation of posted at Division by […]

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Mathematics and Multimedia Blog Carnival 23on August 17, 2013at 3:58 am