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Didymus the Musician

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in Rome of the end of the 1st century BC or beginning of the 1st century AD, who combined elements of earlier theoretical approaches with an appreciation of the aspect of performance. Formerly assumed to be identical with the
705: 794: 51:(the musician), classical scholars now believe that this Didymus was a younger grammarian and musician working in Rome at the time of 848: 595: 843: 811: 762: 715: 133:
We know of his theory only indirectly from the works of Porphyry and Ptolemy. There, one finds examples of his
776: 611: 605: 63:, his intention was to revive and produce contemporary performances of the music of Greek antiquity. The 60: 690: 29: 694: 44: 803: 621: 56: 36: 8: 676: 817: 807: 758: 721: 711: 680: 668: 660: 137:
as measured string lengths from which the following frequency ratios are calculated:
825: 799: 652: 170: 162: 154: 656: 551: 386: 64: 821: 725: 672: 837: 785: 750: 664: 87: 729: 789: 638: 398: 105: 33: 24: 382: 101: 697:. London, UK: Chappell & Co – via HathiTrust Digital Library. 394: 390: 146: 134: 746: 378: 643: 40: 710:. Vol. 10 (reprint ed.). New York, NY: Irving Squire. 755:
Contemplating Music: Source readings in the aesthetics of music
573: 571: 52: 798:. London, UK: Oxford University Press. pp. 462–463. 568: 385:, but appears to have been the first to use it in the 641:(1994). "Greek musicologists in the Roman Empire". 775: 835: 795:The New Grove Dictionary of Music and Musicians 707:The American History and Encyclopedia of Music 745: 55:. He was a predecessor of Ptolemy at the 695:"The History of Music (art and science)" 689: 601: 804:10.1093/gmo/9781561592630.article.07752 773: 703: 617: 577: 836: 637: 589: 13: 14: 860: 401:, as the proportions produced by 457:The ratio of these whole tones 100:On the Difference between the 1: 849:Ancient Greek music theorists 562: 657:10.1515/apeiron.1994.27.4.53 7: 704:Hubbard, W.L., ed. (1910). 308: 243: 178: 144: 47:referred to him as Didymus 10: 865: 630: 757:. Pendragon. p. 30. 128: 844:1st-century Greek people 774:Richter, Lukas (1995) . 91:is sometimes called the 555:, also referred to as 389:as the product of the 174:  3rd–4th 166:  2nd–3rd 158:  1st–2nd 30:Alexandrian grammarian 57:library of Alexandria 98:Among his works was 37:Didymus Chalcenterus 17:Didymus the Musician 779:Didymos ho mousikos 580:, pp. 462–463. 549:is the so-called 373: 372: 856: 829: 826:Internet Archive 783: 768: 740: 738: 737: 728:. Archived from 698: 684: 625: 615: 609: 599: 593: 587: 581: 575: 548: 546: 545: 544: 542: 541: 538: 535: 528: 526: 525: 522: 519: 512: 510: 509: 506: 503: 496: 494: 493: 490: 487: 481: 476: 474: 473: 470: 467: 456: 454: 453: 452: 450: 449: 446: 443: 436: 434: 433: 430: 427: 420: 418: 417: 414: 411: 369: 368: 366: 365: 362: 359: 349: 348: 346: 345: 342: 339: 329: 328: 326: 325: 322: 319: 304: 303: 301: 300: 297: 294: 284: 283: 281: 280: 277: 274: 264: 263: 261: 260: 257: 254: 239: 238: 236: 235: 232: 229: 219: 218: 216: 215: 212: 209: 199: 198: 196: 195: 192: 189: 142: 141: 124: 121: 118: 115: 112: 93:comma of Didymus 90: 85: 84: 82: 81: 78: 75: 22: 864: 863: 859: 858: 857: 855: 854: 853: 834: 833: 832: 814: 765: 735: 733: 718: 633: 628: 616: 612: 602:Chappell (1874) 600: 596: 588: 584: 576: 569: 565: 539: 536: 533: 532: 530: 523: 520: 517: 516: 514: 507: 504: 501: 500: 498: 491: 488: 485: 484: 482: 477: 471: 468: 465: 464: 462: 461: 460: 458: 447: 444: 441: 440: 438: 431: 428: 425: 424: 422: 415: 412: 409: 408: 406: 405: 404: 402: 363: 360: 357: 356: 354: 353: 343: 340: 337: 336: 334: 333: 323: 320: 317: 316: 314: 313: 298: 295: 292: 291: 289: 288: 278: 275: 272: 271: 269: 268: 258: 255: 252: 251: 249: 248: 233: 230: 227: 226: 224: 223: 213: 210: 207: 206: 204: 203: 193: 190: 187: 186: 184: 183: 173: 165: 157: 149: 131: 122: 119: 116: 113: 110: 79: 76: 73: 72: 70: 69: 68: 59:. According to 20: 12: 11: 5: 862: 852: 851: 846: 831: 830: 828:(archive.org). 812: 777:"Didymus [ 770: 769: 763: 742: 741: 716: 700: 699: 686: 685: 634: 632: 629: 627: 626: 618:Hubbard (1910) 610: 594: 582: 578:Richter (1995) 566: 564: 561: 557:Didymos' comma 552:syntonic comma 375: 374: 371: 370: 350: 330: 310: 306: 305: 285: 265: 245: 241: 240: 220: 200: 180: 176: 175: 167: 159: 151: 130: 127: 86:≅ 21.506  74: 81  65:syntonic comma 25:music theorist 9: 6: 4: 3: 2: 861: 850: 847: 845: 842: 841: 839: 827: 823: 819: 815: 813:0-333-23111-2 809: 805: 801: 797: 796: 791: 787: 782: 780: 772: 771: 766: 764:9780918728609 760: 756: 752: 748: 744: 743: 732:on 2022-02-22 731: 727: 723: 719: 717:1-4179-0200-0 713: 709: 708: 702: 701: 696: 692: 688: 687: 682: 678: 674: 670: 666: 662: 658: 654: 650: 646: 645: 640: 636: 635: 623: 619: 614: 607: 603: 598: 591: 590:Barker (1994) 586: 579: 574: 572: 567: 560: 558: 554: 553: 480: 400: 396: 392: 388: 384: 380: 351: 331: 311: 307: 286: 266: 246: 242: 221: 201: 181: 177: 172: 168: 164: 160: 156: 152: 148: 143: 140: 139: 138: 136: 126: 117:Ἀριστοξενείων 108: 107: 103: 102:Aristoxenians 96: 94: 89: 66: 62: 61:Andrew Barker 58: 54: 50: 46: 42: 38: 35: 34:lexicographer 31: 26: 18: 824:– via 793: 778: 754: 751:Dahlhaus, C. 734:. Retrieved 730:the original 706: 691:Chappell, W. 651:(4): 53–74. 648: 642: 613: 597: 585: 556: 550: 478: 381:, he used a 376: 150: type 132: 114:διαφορᾶς τῶν 106:Pythagoreans 99: 97: 92: 53:Emperor Nero 48: 16: 15: 399:whole tones 383:major third 309:enharmonic 135:tetrachords 123:Πυθαγορείων 95:after him. 49:ho mousikos 838:Categories 822:1245646411 736:2022-09-30 726:1194188882 673:8306313368 639:Barker, A. 620:, p.  604:, p.  563:References 393:(9:8) and 244:chromatic 147:tetrachord 39:, because 790:Grove, G. 786:Sadie, S. 681:170415282 665:2156-7093 179:diatonic 792:(eds.). 753:(1987). 747:Katz, R. 693:(1874). 387:diatonic 379:Archytas 171:interval 163:interval 155:interval 111:Περὶ τῆς 104:and the 45:Porphyry 23:) was a 19:(Greek: 644:Apeiron 631:Sources 547: ; 543:⁠ 531:⁠ 527:⁠ 515:⁠ 511:⁠ 499:⁠ 495:⁠ 483:⁠ 475:⁠ 463:⁠ 459:  451:⁠ 439:⁠ 435:⁠ 423:⁠ 419:⁠ 407:⁠ 403:  397:(10:9) 367:⁠ 355:⁠ 352:  347:⁠ 335:⁠ 332:  327:⁠ 315:⁠ 312:  302:⁠ 290:⁠ 287:  282:⁠ 270:⁠ 267:  262:⁠ 250:⁠ 247:  237:⁠ 225:⁠ 222:  217:⁠ 205:⁠ 202:  197:⁠ 185:⁠ 182:  169:  161:  153:  145:  83:⁠ 71:⁠ 41:Ptolemy 21:Δίδυμος 820:  810:  781:]" 761:  724:  714:  679:  671:  663:  129:Theory 120:τε καὶ 784:. In 677:S2CID 395:minor 391:major 377:Like 88:cents 818:OCLC 808:ISBN 759:ISBN 722:OCLC 712:ISBN 669:OCLC 661:ISSN 43:and 32:and 800:doi 653:doi 622:121 606:204 592:, . 540:80 534:81 529:= 524:10 486:10 410:10 344:30 338:31 324:31 318:32 279:24 273:25 259:15 253:16 208:10 194:15 188:16 125:). 80:80 67:of 840:: 816:. 806:. 788:; 749:; 720:. 675:. 667:. 659:. 649:27 647:. 570:^ 559:. 518:9 513:× 508:8 502:9 497:= 492:9 472:8 466:9 448:4 442:5 437:= 432:8 426:9 421:× 416:9 364:4 358:5 299:5 293:6 234:8 228:9 214:9 802:: 767:. 739:. 683:. 655:: 624:. 608:. 537:/ 521:/ 505:/ 489:/ 479:⧸ 469:/ 455:. 445:/ 429:/ 413:/ 361:/ 341:/ 321:/ 296:/ 276:/ 256:/ 231:/ 211:/ 191:/ 109:( 77:/

Index

music theorist
Alexandrian grammarian
lexicographer
Didymus Chalcenterus
Ptolemy
Porphyry
Emperor Nero
library of Alexandria
Andrew Barker
syntonic comma
cents
Aristoxenians
Pythagoreans
tetrachords
tetrachord
interval
interval
interval
Archytas
major third
diatonic
major
minor
whole tones
syntonic comma


Richter (1995)
Barker (1994)
Chappell (1874)

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