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Zhu Zaiyu

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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). His work has been described as "the crowning achievement of two millennia of acoustical experiment and research" (Robinson 1962:224) and he is described as "one of the most important historians of his nation's music".
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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
245:. Zhu inherited the title the Prince of Zheng in 1593, but quickly resigned it to his cousin. 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 286: 459:
Hermann von Helmholtz,Die Lehre von den Tonempfindungen als physiologische Grundlage für die Theorie der Musik . p 258, 3rd edition, Longmans, Green and Co, London, 1895
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Fritz A. Kuttner. "Prince Chu Tsai-Yü's Life and Work: A Re-Evaluation of His Contribution to Equal Temperament Theory", p. 163,
635: 585: 570: 645: 640: 600: 565: 246: 615: 510: 650: 575: 595: 590: 206: 213:; 1536 – 19 May 1611) was a Chinese scholar, mathematician and music theorist. He was a prince of the Chinese 610: 605: 324:
Zhu also wrote treatises (three survive) on astronomy, physics, mathematics and calendrics, calculated the
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Zhu's work on equal temperament did not get any official recognition during his lifetime nor during the
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A critical study of Chu Tsai-yü's contribution to the theory of equal temperament in Chinese music
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The discovery of musical equal temperament in China and Europe in the sixteenth century
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Province to an aristocratic family, the sixth-generation descendant of the
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Woo Shingkwan (January 2017). Floyd K. Grave; Nancy Y. Rao (eds.).
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Zhu Zaiyu's equal temperament ratio in The Complete Works in Yuelu
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Chinese mathematician, physicist and music theorist (1536–1611)
234: 419: 533:. Lewiston, N.Y. : Edwin Mellen Press, 2003. 547: 536: 336:and accurately described the duration of one 124: 48: 498:China: A Cultural and Historical Dictionary 217:. In 1584, Zhu innovatively described the 485:, Vol. 19, No. 2 (May 1975), pp. 163–206. 249:("His Excellency The Dauphin of Zheng"). 193: 185: 440:10.1093/gmo/9781561592630.article.49365 221:via accurate mathematical calculation. 548: 494: 472:. Wiesbaden : F. Steiner, 1980. 631:16th-century Chinese mathematicians 626:17th-century Chinese mathematicians 417: 13: 523: 14: 662: 581:Chinese musical instrument makers 636:16th-century Chinese astronomers 586:Heirs apparent who never acceded 571:17th-century Chinese astronomers 315: 306: 297: 285: 276: 267: 258: 153:Zhu Houwan, Prince Gong of Zheng 646:17th-century Chinese musicians 641:16th-century Chinese musicians 488: 475: 462: 453: 411: 210: 1: 601:Ming dynasty imperial princes 495:Dillon, Michael, ed. (1998). 404: 566:16th-century Chinese artists 447:UK public library membership 241:, the fourth emperor of the 224: 123:Hereditary Prince Duanqing ( 47:Hereditary Prince of Zheng ( 7: 501:. London: Curzon. pp.  357: 10: 667: 18: 616:Mathematicians from Henan 418:Lam, Joseph S.C. (2001). 157: 149: 137: 125: 122: 115: 110: 105: 101: 82: 74: 66: 58: 49: 45: 40: 651:Chinese music theorists 432:Oxford University Press 364:Book of Songs (Chinese) 576:Chinese choreographers 332:, the mass density of 199: 191: 596:Physicists from Henan 591:Historians from Henan 197: 190:Zhu Zaiyu dance steps 189: 611:Writers from Jiaozuo 606:Musicians from Henan 326:magnetic declination 198:Zhu Zaiyu flag dance 468:Robinson, Kenneth. 369:Chinese mathematics 621:Artists from Henan 427:Grove Music Online 374:Chinese musicology 200: 192: 445:(subscription or 379:Equal temperament 219:equal temperament 184: 183: 133: 132: 658: 542: 517: 516: 492: 486: 479: 473: 466: 460: 457: 451: 450: 443: 423: 415: 319: 310: 301: 289: 280: 271: 262: 229:Zhu was born in 212: 180:, music theorist 128: 127: 103: 102: 52: 51: 38: 37: 666: 665: 661: 660: 659: 657: 656: 655: 546: 545: 526: 524:Further reading 521: 520: 513: 493: 489: 483:Ethnomusicology 480: 476: 467: 463: 458: 454: 444: 416: 412: 407: 360: 340:to correct the 320: 311: 302: 293: 290: 281: 272: 263: 227: 117:Posthumous name 111:Zhu Zaiyu (朱載堉) 97: 34: 17: 12: 11: 5: 664: 654: 653: 648: 643: 638: 633: 628: 623: 618: 613: 608: 603: 598: 593: 588: 583: 578: 573: 568: 563: 558: 544: 543: 534: 525: 522: 519: 518: 511: 487: 474: 461: 452: 409: 408: 406: 403: 402: 401: 396: 391: 386: 381: 376: 371: 366: 359: 356: 322: 321: 314: 312: 305: 303: 296: 294: 291: 284: 282: 275: 273: 266: 264: 257: 239:Hongxi Emperor 226: 223: 182: 181: 159: 155: 154: 151: 147: 146: 141: 135: 134: 131: 130: 120: 119: 113: 112: 108: 107: 99: 98: 96: 95: 92: 88: 86: 80: 79: 76: 72: 71: 68: 64: 63: 60: 56: 55: 43: 42: 15: 9: 6: 4: 3: 2: 663: 652: 649: 647: 644: 642: 639: 637: 634: 632: 629: 627: 624: 622: 619: 617: 614: 612: 609: 607: 604: 602: 599: 597: 594: 592: 589: 587: 584: 582: 579: 577: 574: 572: 569: 567: 564: 562: 559: 557: 554: 553: 551: 540: 535: 532: 529:Cho, Gene J. 528: 527: 514: 512:0-7007-0439-6 508: 504: 500: 499: 491: 484: 478: 471: 465: 456: 448: 441: 437: 433: 429: 428: 422: 414: 410: 400: 397: 395: 392: 390: 387: 385: 382: 380: 377: 375: 372: 370: 367: 365: 362: 361: 355: 353: 348: 346: 343: 339: 338:tropical year 335: 331: 327: 318: 313: 309: 304: 300: 295: 288: 283: 279: 274: 270: 265: 261: 256: 255: 254: 250: 248: 244: 240: 236: 232: 222: 220: 216: 208: 204: 196: 188: 179: 178:choreographer 175: 174:mathematician 171: 167: 163: 160: 156: 152: 148: 145: 142: 140: 136: 121: 118: 114: 109: 104: 100: 93: 90: 89: 87: 85: 81: 77: 73: 69: 65: 61: 57: 54: 44: 39: 36: 32: 31: 26: 22: 530: 497: 490: 482: 477: 469: 464: 455: 425: 413: 352:Qing dynasty 349: 323: 251: 243:Ming Dynasty 228: 215:Ming dynasty 202: 201: 46: 35: 28: 21:Chinese name 561:1611 deaths 556:1536 births 421:"Zhu Zaiyu" 78:19 May 1611 25:family name 550:Categories 430:. Oxford: 405:References 399:Zhang Heng 162:Astronomer 158:Occupation 449:required) 394:Shí-èr-lǜ 384:Jing Fang 225:Biography 203:Zhu Zaiyu 170:physicist 166:historian 94:Zhu Yitai 62:1593–1611 41:Zhu Zaiyu 389:Shen Kuo 358:See also 345:calendar 91:Zhu Yixi 19:In this 334:mercury 231:Qinyang 207:Chinese 509:  330:Peking 209:: 150:Father 59:Tenure 23:, the 247:鄭端靖世子 235:Henan 139:House 106:Names 84:Issue 507:ISBN 342:Ming 126:端清世子 75:Died 70:1536 67:Born 503:388 436:doi 328:of 211:朱載堉 144:Zhu 50:鄭世子 30:Zhu 27:is 552:: 505:. 434:. 424:. 347:. 233:, 176:, 172:, 168:, 164:, 515:. 442:. 438:: 205:( 129:) 53:) 33:.

Index

Chinese name
family name
Zhu
Issue
Posthumous name
House
Zhu
Astronomer
historian
physicist
mathematician
choreographer


Chinese
Ming dynasty
equal temperament
Qinyang
Henan
Hongxi Emperor
Ming Dynasty
鄭端靖世子



Zhu Zaiyu's equal temperament ratio in The Complete Works in Yuelu



magnetic declination

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