Mathematical methods for digital computers, by ANTHONY & HERBERT S. WILF (eds.) RALSTON


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Steiner, 1972; Serge Gut, "La notion de consonance chez les theoriciens du Moyen Age", Acta musicologica, 48 (1976), pp. 20-44; Michel Huglo, "La notation franconienne. 123132 [125-26]. 128-32; Ars Nova Magistri Philippi de Vitriaco, ed. G. , n. : American Institute of Musicology, 1964 [CSM, 8]; Ernest H. Sanders, "Vitry, Philippe de", The New Grove Dictionary of Music and Musicians, ed. Stanley Sadie, London: Macmillan, 1980, vol. 22-28. P. Ferreira the copying of his work, he would be nowadays as famous as the younger Guillaume de Machaut.

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Ono Fig. 2. ,v.. 2 The Sounding Algebra 31 To my knowledge, no other author ever calculated - without a computer, of course - a greater factorial. Mersenne listed the twenty-four different songs with four notes, the seventy-two different songs of three types of songs, consisting of four different notes, respectively, the sevenhundred-twenty different songs with six notes. Considering fourths like ut, re, mi, fa or re, mi, fa, sol or mi, fa, sol, la he enumerated the possible permutations in order to discuss which song might be considered as better or more pleasant or more agreeable.

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