摘要
音乐作品由“音乐音”所生成,它们在时间序列轨道与空间的序列轨道上不断地发生、发展和演化,并在基本表现手段和整体表现手段的不同层面上形成各自的轨迹。一系列“音乐事件”的发生、发展和演化必然要经历一个过程,其中既有确定性行为,也有不确定性行为。它们时而有序,时而无序;时而有规律,时而无规律。从系统的观点来看,其生成、发展和演化过程形成了确定性行为与不确定性行为同生共存综合体——一个非线性动态系统。 音乐作品在时间序列上表现为混沌运动——从有序逐渐过渡到“无序”,这种混沌运动貌似随机而实质上有其内在的、深层的规律性,即混沌序;在空间序列上表现为分形——它不断地向精细结构发展,形成局部与整体的自相似性。
Music works originate from 'music tones'. The musical events happen, develop and evolve constantly on the orbit of the time sequence and that of the space sequence, and form locus each on the levels of the basic and developed means of expression. There must be a course for a series of' musical events' to happen, develop and evolve, with either deterministic factors or indeterministic ones. They are sometimes regular and in good order but sometimes not. Systematically, this course forms a co-generating and co-existing synthesis, a non-linear dynamical system, where both deterministic behavior and indeterministic behavior exist together.
出处
《乐府新声（沈阳音乐学院学报）》
2004年第3期3-10,共8页
The New Voice of Yue-Fu(Journal of the Shenyang Conservatory of Music)
