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Twelfth root of two
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==History== Historically this number was proposed for the first time in relationship to musical tuning in 1580 (drafted, rewritten 1610) by [[Simon Stevin]].<ref>{{citation|first=Thomas|last=Christensen|title=The Cambridge History of Western Music Theory|year=2002|page=[https://archive.org/details/cambridgehistory0000unse_t8n5/page/205 205]|publisher=Cambridge University Press |isbn=978-0521686983|url=https://archive.org/details/cambridgehistory0000unse_t8n5/page/205}}</ref> In 1581 Italian musician [[Vincenzo Galilei]] may be the first European to suggest twelve-tone equal temperament.<ref name="Crest"/> The twelfth root of two was first calculated in 1584 by the Chinese mathematician and musician [[Zhu Zaiyu]] using an abacus to reach twenty four decimal places accurately,<ref name="Crest"/> calculated<!--less accurately--> circa 1605 by Flemish mathematician [[Simon Stevin]],<ref name="Crest"/> in 1636 by the French mathematician [[Marin Mersenne]] and in 1691 by German musician [[Andreas Werckmeister]].<ref>Goodrich, L. Carrington (2013). ''[https://books.google.com/books?id=ofVAAQAAQBAJ&q=%22twelfth+root+of+two%22&pg=PT182 A Short History of the Chinese People]'', {{unpaginated}}. Courier. {{ISBN|9780486169231}}. Cites: Chu Tsai-yΓΌ (1584). ''New Remarks on the Study of Resonant Tubes''.</ref>
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