同质异构音组(Z关系对)中的对斜包含关系  

The Relationship of Diagonal Containment in the Isomeric Sonorities(Z-related)

作　　者：王丹[1] 

机构地区：[1]南京艺术学院音乐学院

出　　处：《黄钟（武汉音乐学院学报）》2014年第1期43-51,共9页Huangzhong:Journal of Wuhan Conservatory of Music

摘　　要：在音级集合理论的复合型K、Kh关系中,两集合的关系建立在包含关系与补关系基础之上。在汉森理论的互补映射理论中,两互补音组(集合)不仅通过映射方法建立关系,且将同质异构音组(Z关系对)放置在包含关系与补关系中,计算出了一对同质异构五音组通过连接六音组与其互补七音组构成一组特殊的对斜包含关系音组。如果将汉森的互补映射理论与音级集合复合型理论结合观察这种对斜包含关系可知,所有同质异构四、五音组均可通过连接六音组与其互补音组构成对斜包含关系。In the relationship of Set-complex K and Kh of the Pitch-class set theory, two sets could estab- lish the relationship based on the containing relations and the complementary relations. In the Complementary- projection part of Howard Hanson＇s theory, two complementar~ sonorities （sets） doesn＇t only establish the relationship by the projection method, but the isomeric sonorities （Z-related pair） of the complementary ones also be placed on the containing relations and the complementary relations, and calculate that one pair of five- tone isomeric sonorities and the complementary seven-tone isomeric sonorities have the special relationship of diagonal containment through the connecting hexads（six-tone sonorities）. If combining the Complementary- projection theory and the Set-complex theory to observe this special relationship, the result showed that all of the four-tone, five-tone isomeric sonorities can be connected through connecting hexads and form the relation- ship of diagonal containment.

关 键 词：汉森理论 音级集合理论 同质异构音组 Z关系对 互补关系 对斜包含关系 

分 类 号：J614.8[艺术—音乐]