Biennial Mathematics and Computation in Music Conference

该奖项支持参加2022年6月21日至24日在佐治亚州亚特兰大举行的数学与音乐计算大会(MCM)。这次会议延续了两年一次的国际会议的传统，由数学和音乐计算学会在大西洋两岸交替举行。这次会议汇集了来自世界各地的研究人员，他们将数学或计算与音乐理论、音乐分析、作曲和表演相结合。MCM为这些领域的研究人员之间的沟通和交流提供了一个独特的平台。会议参与者是数学和计算方面的研究人员，他们将在亚特兰大设计博物馆为公众开展互动课程。会议还包括每晚的公开音乐会，其中一些带有评论、解释和视觉伴奏，这将例证和加强科学程序。关于音乐结构的变异、相似、列举和分类的问题长期以来一直引起音乐家和数学家的兴趣。几乎所有层次的音乐活动都可以找到数学模型，从作曲到用传统乐器或数字手段发声。另一方面，数学家们发现了数学应用中与已建立的音乐关系之间的刺激关系，这导致了数学中有趣的开放问题和解决现有问题的技术。例如，在数学音乐理论的背景下发展起来的结构，如最大偶数集，在物理学的伊辛模型中得到了应用，音乐平铺正典对小维度的Fuglede猜想的进步做出了贡献。例如，使用人工智能和机器学习来实现类似人类的爵士乐即兴演奏，表明了数学音乐理论与认知科学之间的密切关系。来自MCM会议的文章将发表在人工智能(LNAI)系列的课堂讲稿上。这些文章经过了严格的同行审查，将以演讲(12页文章)或海报(6页文章)的形式提交。还将有专门设计的全体会议和小组会议，以形式化和整合相对年轻的现代数学音乐理论领域。会议强调的研究不仅带来了数学和计算科学的创新，抽象理论的新定理和应用，计算模型和软件的创建等，而且还对音乐内部的不同领域产生了影响，如演奏、音乐学、音乐教学和音乐认知。有关会议的更多信息，请访问：http://mcm2022.org/This奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This award supports participation in the Mathematics and Computation in Music conference (MCM) held in Atlanta, Georgia, June 21-24, 2022. The meeting continues the tradition of biennial international conferences through the Society for Mathematics and Computation in Music held on alternating sides of the Atlantic. The conference brings together researchers from around the world who combine mathematics or computation with music theory, music analysis, composition, and performance. MCM provides a unique platform for the communication and exchange of ideas among researchers in these areas. Conference participants who are researchers in mathematics and computation will carry out interactive sessions for the public at the Museum of Design Atlanta. The conference also includes public concerts every evening, some of them with comments, explanations, and visual accompaniment, which will exemplify and enhance the scientific program.Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found for almost all levels of musical activities, from composition to sound production by traditional instruments or by digital means. On the other hand, mathematicians have found stimulating relations within applications of mathematics to established musical relations, which have led to interesting open questions in mathematics and to techniques for solving existing ones. For example, structures such as maximally even sets, developed in the context of mathematical music theory, have found applications in the Ising model in physics, and musical tiling canons have contributed to advances in the Fuglede conjecture for small dimensions. The use of artificial intelligence and machine learning to achieve, for instance, human-like jazz improvisation shows the close relation between mathematical music theory and the cognitive sciences. The articles that result from the MCM conference will be published in the Lecture Notes in Artificial Intelligence (LNAI) series. The articles have undergone a strict peer review process and will be presented either as talks (12-page articles) or posters (6-page articles). There will also be plenary talks and panel sessions specifically designed to formalize and integrate the relatively young field of modern mathematical music theory. The research highlighted at the meeting brings innovations not only in the mathematical and computational sciences, with new theorems and applications of abstract theories, the creation of computational models and software, etc., but also makes an impact on different areas within music, such as performance, musicology, music teaching, and music cognition. More information about the conference can be found at: http://mcm2022.org/This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.