Research On Temperament Of Piano Sound

"Research on Temperament of Piano Sound" is a systematic description related with aesthetics about mathematics and physics of temperament study of piano art sound in the deep layer, opening out comprehensively the abundant implication of the swing on piano. Piano is not the musical instrument with only twelve-tone-equal temperament, and its structure of sound has three tuning systems in which twelve-tune-equal temperament is as basic frame, and just intonation and circle-of-fifths system are as addition.The reason why that piano has the good name "king of the musical instrument" is not only because it has the wide sound areas, grandiose volume and the free inflexion. The most important is that it has various sound of harmonic with multi-tune and very abundant implication related to "temperament", which is also a symbolistic sign of the current tuning system.The formation of the aesthetics on temperament has the trend changing from the simplex to the integrated development, and that does not exclude the integrated factors in singularity and the simplex requirement in integration. Any one tune in "three tuning system" is difficult to satisfy the more and higher needs of current generation's temperament aesthetics. Therefore, people unconsciously apply the "three tuning systems'' in musical practice.The development from simplex existence of three tuning systems to organic combination of three tuning systems is known as the twelve-tone-equal temperament with multi-frequency flexibility. The harmonious combinations between circle-of-fifths system and rhyme, just intonation and harmonic, and twelve-tone-equal temperament and inflexion, make up a new tuning system which takes full use of advantages of three tuning systems. This new system makes "three tuning systems" a free and versatile unification, coming into a comparatively free kingdom. Especially in the analyze of the combination between theory and practice about "the curve of inharmonicity" of piano sound, it is proved that, no matte it is the fundamental tune, the harmonic or the compound tune of fundamental tune and harmonic, they have the "three tuning systems" with unique form, on certain extent, which exists as the prototype of twelve-tune-equal temperament with multi-frequency flexibility. This has the academic meaning and value to the creation performance appreciation research, etc. of the piano music art.