Background
Zhu was born in Qinyang, Henan Province to an aristocratic family, the sixth-generation descendant of the Hongxi Emperor, the fourth emperor of the Ming Dynasty.
朱載堉
Zhu was born in Qinyang, Henan Province to an aristocratic family, the sixth-generation descendant of the Hongxi Emperor, the fourth emperor of the Ming Dynasty.
In 1584, Prince Zhu innovatively described the equal temperament via accurate mathematical calculation. On the emperor"s order, he was granted a new princely title in 1606, the year he delivered a set of ten musicological treatises to the court, establishing his scholarly merit. His posthumous name was 鄭端靖世子 ("His Excellency The Dauphin of Zheng")
Zhu wrote on music theory and temperament (five treatises survive), music history (two treatises survive), dance and dance music (five treatises survive), and several other works.
Three music theory works in particular are associated with the ideas of equal temperament, the「律學新說」 (" on the equal temperament ", 1584), 「律呂精義」("A clear explanation of that which concerns the equal temperament", 1595/96), and 「算學新說」(" Reflection on mathematics", 1603).
Zhu also wrote treatises (three survive) on astronomy, physics, mathematics and calendrics, calculated the magnetic declination of Peking, the mass density of mercury and accurately described the duration of one tropical year to correct the Ming calendar.