ABSTRACT

The musicologist N. A. Garbuzov (1880-1955), c.f. [18], revolu­ tionized the study of musical intervals suggesting a concept of mu­ sical “zones” in the 1940s. This theory can be characterized in the present scientific language as an information granulation in the sense of Zadeh, c.f. [190]. In [18], Table 4 and Table 5 (= our Table 4.1) are statistics of hundreds of measurements. To each note in a score, there is a set of possible tones with frequencies which form the Gar-

buzov zone of this tone. The values may be chosen from a discrete set of numbers (the time constant functions, the theoretical situa­ tion) or are continuous functions (the typical real situation; every assemble play).