The concept of Li, Qi, Shu in Zhu Zaiyu's philosophy of musical temperament in the Ming dynasty

本文的研究目标是分析朱载渔的数字哲学。朱载渔在明末发明了十二等律。他用宋代《周易》的数学哲学重建了汉代天文和音乐理论的框架。以往的研究多认为他是一位重视证明的科学家，而本文的研究则指出，他的思维方式主要受到《周易》数学哲学的影响。本研究厘清了与何堂阴阳哲学的关系，并对朱载愚的《数书》进行了分析。朱载渔以《周易》为依托的数学思维方式，在晚年被江永所继承，江永将许多河图、洛书的数学理论与音乐音律联系起来。此外，由于《周易》数学哲学思想的强调，十二平均律在清代并不容易为学者所接受。

The goal of my research was to analyze Zhu Zaiyu's philosophy of figures. Zhu Zaiyu invented 12 equal temperament in the late Ming dynasty. He reconstructed frameworks of astronomical and musical theory from the Han dynasty using the mathematical philosophy of Zhou-yi from the Song dynasty. Previous research dominantly regards him as a scientist concerned highly with proof, but my research points out that his way of thinking was primarily influenced by the mathematical philosophy of Zhou-yi. My research clarifies the relation with He Tang's philosophy of yin-yang and analyzes Zhu Zaiyu's book of mathematics. Zhu Zaiyu's mathematical way of thinking which relied on Zhou-yi was taken up by Jiang Yong in his later years.Jiang Yong related a lot of mathematical theory of He-tu and Luo-shu to musical temperament. Apart from that, 12 equal temperament was not easily accepted by scholars in the Qing dynasty because of the emphasis of the aspects of mathematical philosophy of Zhou-yi involved.