自20世纪以来，“先锋派”音乐的出现无论在创作理念、风格、还是在技术等方面都对传统音乐创作带来了不同寻常且新颖的启示，其作品中含括的多元内容需要我们以更为复杂的科学角度去深入研究。俄罗斯著名现代作曲家古拜杜丽娜在创作中提倡释放“物质”(传统音乐中的节奏、曲式结构、旋律等)的表现束缚，并赋予其新的定义和运行法则。不断在音乐的节奏与时间中寻求新意，独创了“程式节奏”,并构建出完整的数列比例运作体系。此外，其作品中颇具宗教神秘色彩的“象征性符号”,以及被称为“数字情节”的创作手段都充分展示了作曲家对音乐本质思考的深度。她坚信“三棵树”的理念，并为此不断付诸实践。文章以古拜杜丽娜极为独特的创作思维和理念为研究支点，从理论和实践案例中寻找和证实其音乐中的创新性，揭示其创作原则的根本意涵。从音乐中的数学理论规律寻求新的解释，窥视作曲家隐藏在声音中的“数字链条”及其运行逻辑。这对多维而深入地了解古拜杜丽娜背后的创作意图大有裨益，同时也将给予当代音乐创作新的启示和思考。

Since the 20th century,the emergence of “Avant-garde” music has brought unconventional and novel inspirations to traditional music creation in terms of creative concepts,styles ,and techniques.The multi-di- mensional content contained in their works requires us to study them from more complex scientific perspectives. Sofia Gubaidulina,a renowned modern Russian composer, advocates to release the“material”(rhythm, formal structure,melody,etc.,in traditional music)from its expressive restraints and to regulate it with new definitions and operational rules.She persistently explores novelty in rhythm and time of music,pioneering a "rhythmic”form and establishing a complete system of serial proportional operations.In addition,the“symbolic symbols” with strong religious mystique and the creative means called “numeric plots” in her works all fully demonstrate the depth of the composer's reflection on the essence of music.She firmly believes in the concept of the “three trees”and constantly puts it into practice.This paper takes Gubaidulina's unique creative thinking and concepts as the research fulcrum,seeking and verifying the innovation in her music from theory and practical examples, and revealing the fundamental meaning of her creative principles.It seeks new interpretations from the mathematical theoretical rules in music, peering into the“digital chain”hidden in the sounds by the composer and its operational logic.This greatly aids in understanding Gubaidulina's creative intentions in depth and multi-dimensionality,and will also provide new inspirations and thoughts for contemporary music creation.