Musicology Annotation << Back Some observations of the hierarchic arrangement of the closest tone system relations Yaroslav I. Stanishevskiy The problems of hierarchy of the relations between keys were of great importance in the music theory of Modern times. However, the similar matter was discussed in connection with other elements of harmony, fi rst of all, chords and tones. Usually various tone system relations were arranged in several degrees of relationship. But some musicologists (for example, L. Euler, D. Kellner, J.L. Fuchs, H. Helmholtz, A.L. Spasskaya, E. Prout, H Riemann, G.L. Catoire, Yu.N. Tyulin, P. Hindemith and N.A. Garbouzov) considered the hierarchy of the relations is more detailed. The comparison of a number of systems of relationship (both between tonalities, and between sounds) reveals the similarity in the hierarchy of relations by different scientists. Despite the obvious distinction between such phenomena as a tone and a tonality it is possible to fi nd some general regularities of the relationship which are partly connected with acoustics. The present article deals the concretization of this problem. Keywords: tone system relationship, system of key relationship, tonality, relations of tones and cords, acoustic relations, Hindemith, Helmholtz. Contacts: E-mail: yarostan@mail.ru Pp. 54-61.