composer, musician, studying the motivations and genres of classical music, interestno ekspirementirovat with the characteristics of sound. Osboby iteres presents the development of musical and scientific concepts of harmony and mathematics zvukoritma. 
Materials that are of interest. 

Jean-Philippe Rameau (1722, 1726) developed the science of harmony as a system of chords (chord theory, the fundamental bass <basse fondamentale>, applications, voice-communication, tonal cadences; education tonal range, the system will "triple the proportion» STD). In many respects, the treatise to identify trends of tonal harmony based on tertsovyh harmonies. 
Hugo Riemann (1893) substantiated the functional theory of classical harmony, gave a profound analysis of the phenomena of tonal harmony. 
Heinrich Schenker (1906) proposed the theory of structural levels of the harmonic fabric in tonal music. 
BL Jaworski (1908), SV Protopopov (1930) carried out a scientific description of a number of modes, in addition to major and minor. 
N. Tyulin (1937) proposed a theory of variability of tonal functions. 
Paul Hindemith (1937) developed an evolutionary theory of harmony, putting in its foundation "natural reasons", including mainly physical-acoustic concept of the fundamental tone (Grundton) interval, chord, every harmony. 
Carl Dalhousie (1968) investigated the formation of classical major-minor tonality (in his terminology system - "harmonic tonality» [harmonische Tonalität]), has demonstrated its formation in samples polyphonic music of the Middle Ages, especially the Renaissance and Baroque periods. 
Yu Kholopov (1988) developed a general theory of harmony, is grounded in the idea of the two principles of harmony, modality (supremacy of reliance on the scale, gravity can be absent) and tone (must be present center, and correlated with the periphery, a sign of the scale may be only weakly), nekorrelyativnyh each other.