Search Loci: Convergence:
We run carelessly to the precipice, after we have put something before us to prevent us from seeing it.
W. H. Auden and L. Kronenberger (eds.) The Viking Book of Aphorisms, New York: Viking Press, 1966.
A Plague of Ratios
You can find out a little more about the manipulation of musical ratios in my article on music and Euclid’s algorithm:
‘Music and Euclid’s Algorithm’, Plus online mathematics magazine, Sep. 2006:
And if you are interested in the idea of the Royal Society doing musical experiments, my article about John Birchensha gives some details:
‘Mr Birchensha’s Ear’, The Owl magazine, Oxford, May 2005:
For a good general introduction to music and mathematics, see:
John Fauvel, Raymond Flood, and Robin Wilson (eds), Music and Mathematics: From Pythagoras to Fractals (Oxford, 2006)
Mark Lindley, Lutes, Viols and Temperaments (Cambridge, 1984).
For more information on Nicolaus Mercator, see
Christoph J. Scriba, ‘Mercator, Nicolaus (1620?–1687)’, Oxford Dictionary of National Biography, Oxford University Press, 2004