Dataset: mozart_goldenratio.csv

Sources: 
N. Broder (1960). "Mozart: Sonatas and Fantasies for the Piano." Revised Ed. 
Theodore Presser,  Bryn Mahr, PA.

J.F. Putz (1995). "The Golden Section and the Piano Sonatas of Mozart,"
Mathematics Magazine, Vol. 6, #4, pp. 275-282.

Description: Empirical study of ratio of length Development and Recapulation (b)
to the sum of Exposition and Development and Recapitulations (a+b) for 29
of Mozart's Sonatas. Hypothesis is that b/(a+b) can be approximated by Golden Ratio. 
Letting x=a, 1-x=b, phi=a/b=b/(a+b)=x/(1-x)=(1-x)/1 solves phi = (sqrt(5)-1)/2.

Variable Names:
Kochel (cataloguing index)
expos_a   (Exposition, a)
devRec_b  (Development and Recapitulations)