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上、下谐音列的存在,对于和声的协和、功能、音色等方面的评价起了决定性的作用。从笔者研究的结果表明,这一客观评价几乎完全符合几百年来所形成的主观评价,从而也反证了上、下谐音列的客观存在。有关和声功能的问题,已在《和声功能及其音响原理》一文中阐述,以下就和声的协和性问题作进一步讨论。从对所有纯律音程以及其他非纯律音程的和声分析情况来观察,发现和声的协和性能与
The existence of upper and lower chromatic sequences plays a decisive role in the evaluation of concordance, function and timbre of harmony. The results from the author’s study show that this objective evaluation is almost in full conformity with the subjective evaluation formed over the past several hundred years and thus also proves the objective existence of the top and bottom homophonic columns. The question of harmony function has been explained in the article “Harmony function and its sound principle”. The following is a further discussion of the harmony of harmony. Observed from the harmonic analysis of all pure-tone intervals and other non-pure-tone intervals, it was found that the harmony performance of harmony