Shèngshòu wànnián lì 聖壽萬年曆
The Sacred-Longevity Ten-Thousand-Year Calendar by 朱載堉 (Zhū Zàiyù, 1536–1611, 明, zhuàn 撰)
About the work
Zhū Zàiyù’s calendrical reform proposal, presented to the throne in Wànlì 23 (1595): 5 juàn of computed tables-and-procedures, accompanied by 4 juàn of methodological exposition under the title Lǜlì róngtōng 律厯融通 (“Pitch-and-Calendrical Comprehensive Penetration”) — the appendix making the connection between his pitch-pipe (lǜlǚ) work and his calendrical reform via the Han-period and earlier lǜlì combined-discipline tradition. The technical proposal is a synthesis position: the Yuán-derived Shòushí lì (in continuous use as the Dàtǒng lì throughout the Míng) had progressively decoupled from observed reality, its built-in suìshí xiāozhǎng (annual diminution-and-growth) factor running too aggressively forward and so falling behind the heavens (shī zhī xiāntiān 失之先天); the Dàtǒng itself, by suspending the diminution adjustment, had run too slow and so fallen ahead of the heavens (shī zhī hòutiān 失之後天). Zhū’s solution: collate the two and adopt mediated averaged rates (zhuóqǔ zhōngshù 酌取中數). The proposal was formally received but not implemented; the Qīntiānjiān establishment, used to the Dàtǒng, refused to act. The system thus had no operational existence — but its diagnostic identification of Dàtǒng drift was the proximate cause of the long Míng calendrical-reform debate that culminated, after the Jesuits’ arrival, in the Chóngzhēn lìshū 崇禎厯書 project of 1629–1635 and its post-Míng adoption in 1645 as the Shíxiàn lì 時憲厯 of the Qīng. The work’s substantive sections — Bù fāliǎn (initial-conditions step), Bù shuòrùn (lunation-and-intercalation step), Bù guǐlòu (gnomon-and-clepsydra step), Bù jiāodào (eclipse-path step), Bù wǔwěi (five-planet step) — are systematically detailed, and the Míng shǐ Lìzhì drew on them extensively.
Tiyao
[Sub-classification: 子部, Tiānwén suànfǎ class 1, tuībù sub-category. Edition: WYG.]
Respectfully examined: Shèngshòu wànnián lì, 5 juàn, with appended Lǜlì róngtōng, 4 juàn, by Zhū Zàiyù of the Míng. Zàiyù’s Yuèshū (i.e. Yuèlǜ quánshū 樂律全書) is already catalogued. The Míng shǐ Lìzhì says: “The Míng’s Dàtǒng lì was in fact the Yuán’s Shòushí lì — used continuously for over 270 years and never amended in its institution. After the Chénghuà period, eclipses began often to fail of verification, and proposers of calendrical reform abounded — figures like Yú Zhèngyǐ 俞正已 and Lěng Shǒuzhōng 冷守中, who-knew-not-and-acted-rashly, are not worth speaking of. But Huà Xiāng 華湘, Zhōu Lián 周濂, Lǐ Zhīzǎo 李之藻, and Xíng Yúnlù 邢雲路 had considerable insight. The Prince-Heir of Zhèng [Zhū] Zàiyù compiled the Lǜlì róngtōng and presented the Shèngshòu wànnián lì — his system was rooted in the Nánjīng Censor-General Hé Táng 何瑭, deeply caught the meaning of the Shòushí and was able to correct what it could not reach. The Bureau Officials, mired in old hearsay, and the responsible authorities, fearing change, all blocked it and it was not put into use”. Just so — this refers to these two books.
His book was presented in Wànlì 23 (1595). The memorial states: “The Shòushí and Dàtǒng — the two calendars: when one examines antiquity, the qì -difference is three days; when one computes the present, the time-difference is nine kè . The Shòushí ‘s diminution rate is too steep, falling-into-precedence ( xiāntiān ); the Dàtǒng ‘s non-diminution falls-into-following ( hòutiān )“. So he reconciled the two schools, taking median rates, established as new rates, and edited [the result] into a book. His Bù fāliǎn (initial-conditions), Bù shuòrùn (lunation-and-intercalation), Bù guǐlòu (gnomon-and-clepsydra), Bù jiāodào (eclipse-path), and Bù wǔwěi (five-planet) methods, together with his discussions of the suìyú (annual surplus), rìchán (sun-position), lòukè (clepsydra-divisions), solar-eclipse, lunar-eclipse, and five-planet [topics] — the dynastic history extracts them all in detail. So in what he says, [the editors find] much to take.
Examining the book: although what he asserts is from his own observations, and he disputes [points] insistently, he is not without [places of] excessive insistence; nor are his measurements necessarily more refined than Guō Shǒujìng’s. But the dynastic history records that in Chóngzhēn 2 (1629), when the solar eclipse failed to verify and the Bureau Officials were severely reprimanded, Wǔguānzhèng Gē Fēngnián 戈豐年 said: “Guō Shǒujìng made the [Shòushí] calendar in Zhìyuán 18 (1281); after eighteen years, [in] Dàdé 3 (1299), an eclipse should have occurred but did not occur; in [Dàdé] 6 (1302), again a sixth-month eclipse failed of computation; at that time Shǒujìng was Director of the Bureau and likewise had no remedy — how much more those who hold rigidly to the law!” If [we now] follow the old [system] going forward, there cannot but be discrepancies — and the calendrical officers of [Shǒujìng’s] own time already had this public verdict. No wonder, then, that Zàiyù and others did not cease their criticisms.
Furthermore, his book’s evidentiary citations are detailed-and-clear, broadly conversant with present and ancient — original-and-rooted (yuányuán běnběn 原原本本) — truly with substance to support reference. It cannot be set aside merely on account of later actually-measured precision.
The Shùxué shǐ (history of mathematics) tradition records that Zàiyù took his foundation from Hé Táng — Táng was his maternal uncle. But Zàiyù’s memorial-of-presentation claims his foundation in Xǔ Héng [of the Yuán Shòushí compilation]. Probably he feared that Táng, being from his own time, would not be persuasive; he therefore relied on Héng to carry the weight of his book.
Respectfully collated, Qiánlóng 46, sixth month [July 1781].
Chief Compilers: (subject) Jì Yún 紀昀, (subject) Lù Xíxióng 陸錫熊, (subject) Sūn Shìyì 孫士毅. Chief Collator: (subject) Lù Fèichí 陸費墀.
Abstract
Composition: presented to the throne Wànlì 23 (1595), at which point the work was complete in its received form. The Lǜlì róngtōng methodological appendix — connecting the calendrical work to Zhū Zàiyù’s signature pitch-pipe / equal-temperament project — was integral to the presentation, not a later addition; together the two form the synthetic statement of his lǜlì (pitch-and-calendar) program.
Two episodes deserve notice. First, the 提要 records the Sìkù editors’ detection of an attribution maneuver: Zhū Zàiyù in his memorial credited the Shòushí’s Yuán-period chief compiler Xǔ Héng 許衡 as the methodological source, but the actual proximate source was his maternal uncle Hé Táng 何瑭 (active in the early-to-mid 16th century). The editors’ explanation — Zhū “feared that Táng, being from his own time, would not be persuasive; he therefore relied on Héng to carry the weight of his book” — is a pointed Qīng evaluation of a Míng intellectual’s strategic deployment of authority. Second, the 提要 frames the calendrical-reform debate around the Chóngzhēn 2 (1629) eclipse failure and the testimony of Bureau official Gē Fēngnián, who ingeniously pointed out that even the great Guō Shǒujìng — author of the Shòushí lì itself, only eighteen years after its promulgation — was unable to predict eclipses correctly with his own system. This argument-from-the-creator’s-own-failure became the standard rebuttal to Dàtǒng-conservative objections to reform.
The work’s ultimate non-implementation in the Míng was a consequence of bureaucratic conservatism (the Qīntiānjiān’s reluctance to revise the inherited system), but the diagnostic case Zhū Zàiyù made — together with parallel arguments by Xíng Yúnlù 邢雲路 and Lǐ Zhīzǎo 李之藻 — was the indispensable precondition for the Chóngzhēn lìshū 崇禎曆書 reform project initiated under Xú Guāngqǐ 徐光啟 from 1629, with Jesuit collaboration (Adam Schall von Bell, Giacomo Rho, Nicolò Longobardo). The reformed calendar was finalized too late to take effect under the Míng; the Qīng promulgated it in 1645 as the Shíxiàn lì 時憲曆.
The Míng Dàtǒng lì’s drift from observation by the late 16th century was real but Zhū Zàiyù’s mathematical proposal — adopting averaged rates between Shòushí and Dàtǒng — was not the methodological breakthrough he believed it to be; the underlying issue was that Chinese astronomical theory still lacked the orbital geometry needed to predict eclipses accurately, which would require the heliocentric mathematics of the Tycho-Kepler tradition that the Jesuits brought. Zhū’s significance is therefore less as an astronomer per se than as the intellectual who pressed the case for reform on technically rigorous (if mathematically conservative) grounds at exactly the moment when the Western mathematical-astronomical tradition began to enter China.
For Zhū Zàiyù’s broader achievements (equal temperament, mathematical pedagogy, dance notation), see the 朱載堉 person note.
Translations and research
- Cullen, Christopher. Heavenly Numbers: Astronomy and Authority in Early Imperial China, Oxford: Oxford University Press, 2017 (background on the Shòu-shí lì and its later transmissions).
- Kawahara Hideki 川原秀城. “Shèng-shòu wàn-nián lì kō” 聖壽萬年暦考, in Tōhō gakuhō 東方学報, Kyoto, 70 (1998): 1–94. The standard close study.
- Sivin, Nathan. Granting the Seasons: The Chinese Astronomical Reform of 1280, New York: Springer, 2009 (the Shòu-shí lì whose drift Zhū addressed).
- Needham, Joseph (with Wáng Líng), Science and Civilisation in China, vol. 3 (Mathematics and the Sciences of the Heavens and the Earth), Cambridge University Press, 1959 (treatment of late-Míng calendrical debate).
- Yán Dūnjié 嚴敦傑, Zhū Zàiyù jí qí zhùzuò 朱載堉及其著作, Běijīng: Kēxué Chūbǎnshè, 1986.
- Hashimoto Keizō 橋本敬造, Joju-reki no kenkyū 授時暦の研究, Kōbe: Tōhō Shoten, 1979 (essential context on the Shòu-shí).
Other points of interest
The 提要’s invocation of Gē Fēngnián’s argument from Guō Shǒujìng’s own failures is a striking moment of late-imperial Chinese scientific-historical reflection: the ironic recognition that even the canonical achievement of Yuán mathematical astronomy had failed in its own founder’s hands within one generation. This is one of the more sophisticated pieces of scientific-historical reasoning in the Sìkù tíyào.
The 提要’s editors are also notably evenhanded: they grant Zhū Zàiyù the substantive case for reform while pointing out (a) his self-aggrandizing attribution maneuver, (b) the limits of his actual measurements relative to Guō Shǒujìng, and (c) that “later actually-measured precision” — i.e. the post-Jesuit reformed calendar — has superseded him. Yet they preserve his text as an indispensable evidentiary record. This is an unusually balanced editorial posture for an SKQS entry on a Míng-period scientific text.