减七和弦六种解决的自然数理解读

摘要

俄罗斯强力集团作曲家里姆斯基·科萨科夫所撰写的《和声学实用教程》一书讲解了“减七和弦六种解决法”，是和声学功能理论的一宗可贵财富。六种解决法从调式类型视角可分为大调与小调两个范围，从减七和弦与解决和弦的关系看，可分成三种样式：无共同音、有一个共同音、有两个共同音。减七和弦解决序进可以作逆向考察，借助逆向考察可发现大小三和弦衍生成减七和弦的衍生规律：由大三和弦衍生而成的减七和弦显示属功能动力。由小三和弦衍生而成的减七和弦显示下属功能动力。由此可发现“减七和弦两源生成”与“减七和弦功能两可”的和声学规律。这一规律可运用律学方法作出合乎数理、顺应自然的说明。%Six kinds of solutions of diminished seventh chord in Russian composer Rimsky -Korsakov's Practical Manual of Harmonyis a very precious treasure in functional harmony theory .Six methods can be divided into two ranges ( major and minor ) , also can be divided into three waysin relation between diminished seventh chord and so-lution chord (no same tone, one same tone, two same tones).By backward process of solution of diminished sev-enth chord , the law which major or minor triad can derive diminished seventh chord will be presented .The dimin-ished seventh chord was derived from major triad show the dominant function , and minor triad show the subdomi-nantfunction .Therefore , the law which diminished seventh chord was derived from two way and show different function can be demonstrate in mathematical by temperament way .