Implementation of melodic morphing based on generative theory of tonal music
Implementation of melodic morphing based on generative theory of tonal music
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基于音调音乐生成理论的旋律变形实现
DOI：
10.1080/09298215.2023.2169713
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发表时间：
2023
影响因子：
1.1
通讯作者：
Keiji Hirata and Satoshi Tojo
中科院分区：
文献类型：
--
作者：
Masatoshi Hamanaka;Keiji Hirata and Satoshi Tojo
本文提出了一种新的变形方法来生成旋律，给定的两个旋律表示的时间跨度树从生成理论的音调音乐（GTTM）。在本文中，我们定义了一个特征结构的基础上的时间跨度树和两个结构之间的距离。接下来，我们构建了这些结构之间的包容关系的格，并定义了三个代数运算：减少，满足和加入。首先，我们在纯代数域中进行这些操作，并将新的旋律作为格中的插值;然后，我们将获得的树渲染为音乐旋律，并在候选分支之间分配优先级顺序。我们证实，我们的变形算法产生了令人满意的质量新的变化。
This paper proposes a new morphing method to generate a melody, given two melodies represented by time-span trees obtained from the generative theory of tonal music (GTTM). In this paper, we define a feature structure based on a time-span tree and the distance between two structures. Next, we construct a lattice of subsumption relations among these structures and define three algebraic operations: reduction, meet, and join. First, we conduct these operations in the pure algebraic domain and a new melody is as an interpolation in the lattice; thereafter, we render the obtained tree into a music melody, assigning a priority order among candidate branches. We confirmed that our morphing algorithm generated new variations with satisfactory quality.