Knowledge (XXG)

George Secor

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featuring a multicolored arrangement of 240 tunable oval keys, about which Secor said: "There is not much point in using this alternative keyboard for systems below 31 tones in the octave." However, "even if it were completely impractical musically, it would make a wonderful prop for a futuristic
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A septimal whole tone of 8:7 as we have seen is approximated by two secors, and a neutral third of 11:9 by three secors. In miracle, a minor third plus a septimal whole tone is also equated with the 11th
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with some of George's performances on Moschino Accordions illustrates his abilities on their unique keyboard, which allows for chromatic runs and open chords with the left-hand buttons, a
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Additionally, a written discussion of the organization of the system, including Georges own explanations and diagrams is included on
861: 835: 2470: 22:(November 8, 1943 – March 2, 2020) was an American musician, composer and music-theorist from Chicago. He was the discoverer of 2071: 191: 643:, is also tempered out. Miracle, therefore, is the temperament tempering out 225:224, 1029:1024 and 385:384 at the same time. 967: 2256: 2480: 1958: 1444: 1424: 2475: 2194: 1550: 676: 2038: 1556: 2023: 1339: 329:
as a generator, serving as both the 15:14 and 16:15 semitones. Because 15:14 and 16:15 are equated, their ratio
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named after George Secor. Secor devised it to allow a close approximation, generated from a single interval, to
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is derived from twenty successive secors and has been used by several composers, including New York composer
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s s s s s s s s s s +q q +r q +r q +r q +r q +r q +r q +r q +r q +r q +r +q
2299: 2262: 2252: 1732: 93: 2295: 1727: 1538: 70: 43: 482:{\displaystyle \left({\tfrac {3}{2}}\div \left({\tfrac {8}{7}}\right)^{3}={\tfrac {1029}{1024}}\right)} 62: 2490: 2485: 2303: 2248: 2230: 2225: 2220: 2215: 2210: 2205: 2200: 2185: 2180: 2175: 2170: 2165: 2160: 1914: 1667: 1574: 1568: 1154: 228: 213: 198: 38: 2267: 2240: 2138: 1697: 1562: 1544: 402: 322: 266: 53:
George was also an accomplished musician and proponent of the Moschino Free-Bass Accordion system.
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George was interviewed in 2018 about the origin and organization of the Moschino accordion system
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movie." Though its synthesizer capacities may not reach performance level, according to
2091: 2066: 2013: 1974: 1770: 1764: 1758: 1530: 1057: 700: 636:{\displaystyle \left({\tfrac {11}{8}}\div {\tfrac {48}{35}}={\tfrac {385}{384}}\right)} 2459: 2386: 2355: 2128: 2081: 1988: 1894: 1743: 1662: 1657: 1603: 1464: 1404: 1290: 1278: 1143: 1106: 1063: 494: 567:{\displaystyle \left({\tfrac {8}{7}}\times {\tfrac {6}{5}}={\tfrac {48}{35}}\right)} 2350: 2190: 1993: 1866: 1861: 1722: 1368: 1125: 1088: 187: 656:), doing this is not regarded as a part of the definition of miracle temperament. 405:. Three of these 8:7 intervals, or six secors, make up a fifth, so that 1029:1024 2438: 2433: 2423: 2018: 1998: 1871: 1702: 1137: 1131: 1100: 1094: 2428: 2397: 1904: 1798: 1296: 1209: 89: 77: 47: 2418: 2372: 1804: 1308: 505:. This means that the gap between a minor third plus a septimal whole tone 902: 1836: 1284: 1032: 502: 877: 2392: 2342: 1842: 1830: 1816: 1235: 1180: 652: 490: 297:(347.41 cents) is approximated by 3 secors (350.1 cents 194:. All 11-limit consonances are approximated to within 3.32 cents. 931: 830:; revised and translated studies, p.96. Il Levante Libreria Editrice. 2360: 2076: 2003: 1899: 1876: 1784: 1778: 1069: 1051: 945: 923: 2377: 2365: 1943: 1272: 103: 2382: 1947: 977: 956: 281:), approximate a fifth (701.96 cents). A neutral third of 973: 970:", The Motorola Scalatron on "120 years Of Electronic Music" 794:>0 >1 >2 >3 >4 >5 >6 >7 >8 >9 325:
discovered by George Secor in 1974 which has the eponymous
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can be used. While this also tempers out 4375:4374 (the
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is tempered out, and two secors give an 8:7 interval, a
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0 1 2 3 4 5 6 7 8 9 0'
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is the difference between 10 secors and 1 octave, and
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q r q r q r q r q r q r q r q r q r q r q
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This gives the 108:7-limit 8:7 septimal whole tone 7: 872: 870: 37:(1974) is an example of a Bosanquet 192:43 tone just intonation scale 14: 2109:Ptolemy's intense diatonic scale 1929: 932:Selected papers of George Secor 57:Moschino Accordion Performances 930:3. Frog Peak, N.H. Located at 69:, rather than the more common 1: 88:The system is explained in a 16:American composer (1943–2020) 2072:Harry Partch's 43-tone scale 1551:septimal chromatic semitone 826:Barbieri, Patrizio (2008). 739:then the Blackjack scale is 677:distributionally even scale 2507: 2039:List of meantone intervals 1909: 1557:septimal diatonic semitone 1345:(Numbers in brackets refer 718:is the difference between 27: 2029:List of musical intervals 2024:Consonance and dissonance 1927: 1347:to fractional semitones.) 1340:24-tone equal temperament 856:, p.101. Backbeat Books. 726:. If the Miracle scale is 2471:American male composers 1935:List of pitch intervals 1673:Subminor and supermajor 1612:minor diatonic semitone 1522:refer to pitch ratios.) 922:Secor, George (1975). " 695:). The twenty-one note 1733:Undecimal quarter tone 968:The Motorola Scalatron 637: 568: 483: 395: 197:It is approximated in 132: 2296:Temperament ordinaire 1728:Septimal quarter tone 1539:septimal quarter tone 963:. Accessed: July 2013 638: 569: 484: 396: 107: 71:Stradella bass system 2099:List of compositions 1915:Incomposite interval 1668:Pythagorean interval 1520:(Numbers in brackets 1028:(Numbers in brackets 957:Miracle Temperaments 903:Miracle Temperaments 578: 509: 497:version of miracle. 409: 336: 229:72 equal temperament 145:of 116.7 cents 39:generalized keyboard 2481:Linear temperaments 1698:Pythagorean apotome 1545:septimal third tone 852:Vail, Mark (2000). 796:0 1 2 3 4 5 6 7 8 9 403:septimal whole tone 323:regular temperament 319:miracle temperament 313:Miracle temperament 267:septimal whole tone 48:demonstration video 24:miracle temperament 2476:American composers 2333:Chinese musicology 2119:Scale of harmonics 2114:Pythagorean tuning 2062:Euler–Fokker genus 1811:Septimal semicomma 633: 626: 611: 596: 564: 557: 542: 527: 479: 472: 447: 427: 391: 384: 369: 354: 253:(233.4 cents 133: 94:accordionists.info 35:Motorola Scalatron 26:and eponym of the 2453: 2452: 2319: 2318: 1941: 1940: 1923: 1922: 1753:Pythagorean comma 1693:Pythagorean limma 1625: 1624: 1621: 1620: 1587:supermajor fourth 1563:supermajor second 1508: 1507: 1322: 1321: 1318: 1317: 1030:are the number of 817:on Sagittal forum 648:equal temperament 625: 610: 595: 556: 541: 526: 471: 446: 426: 383: 368: 353: 244:equal temperament 2498: 2292:Well temperament 2278:Regular diatonic 2144: 2124:Tonality diamond 1968: 1961: 1954: 1945: 1933: 1932: 1823:Septimal kleisma 1636: 1593:subminor seventh 1575:supermajor third 1527: 1515:Just intonations 1500: 1499: 1495: 1492: 1480: 1479: 1475: 1472: 1460: 1459: 1455: 1452: 1440: 1439: 1435: 1432: 1420: 1419: 1415: 1412: 1400: 1399: 1395: 1392: 1380: 1379: 1375: 1352: 1335: 1042: 1024: 998: 991: 984: 975: 950:Xenharmonic Wiki 910: 899: 893: 892: 890: 888: 874: 865: 850: 839: 824: 818: 812: 694: 693: 692: 690: 674: 673: 672: 670: 642: 640: 639: 634: 632: 628: 627: 618: 612: 603: 597: 588: 573: 571: 570: 565: 563: 559: 558: 549: 543: 534: 528: 519: 488: 486: 485: 480: 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1014: 1007: 1002: 941: 919: 917:Further reading 914: 913: 900: 896: 886: 884: 876: 875: 868: 851: 842: 825: 821: 813: 809: 804: 799: 789: 736: 697:Blackjack scale 688: 686: 685: 684: 668: 666: 665: 664: 585: 581: 576: 575: 516: 512: 507: 506: 433: 432: 416: 412: 407: 406: 343: 339: 334: 333: 315: 302: 300: 299: 298: 291: 288: 285: 284: 282: 274: 272: 271: 270: 258: 256: 255: 254: 246:is often used. 235: 233: 232: 231: 220: 218: 217: 216: 205: 203: 202: 201: 179: 177: 176: 175: 169: 162: 159: 156: 155: 153: 152: 149: 147: 146: 125:Play two secors 124: 122: 121: 120: 113: 111: 110: 109: 102: 86: 63:YouTube channel 59: 17: 12: 11: 5: 2504: 2502: 2494: 2493: 2488: 2483: 2478: 2473: 2468: 2466:Commas (music) 2458: 2457: 2451: 2450: 2448: 2447: 2441: 2436: 2431: 2426: 2421: 2416: 2410: 2408: 2404: 2403: 2401: 2400: 2395: 2390: 2380: 2375: 2370: 2369: 2368: 2363: 2358: 2353: 2345: 2340: 2335: 2329: 2327: 2321: 2320: 2317: 2316: 2290: 2288: 2284: 2283: 2281: 2280: 2275: 2270: 2265: 2260: 2245: 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2140: 2136: 2130: 2129:Tonality flux 2127: 2125: 2122: 2120: 2117: 2115: 2112: 2110: 2107: 2105: 2102: 2100: 2097: 2093: 2090: 2088: 2085: 2084: 2083: 2080: 2078: 2075: 2073: 2070: 2068: 2065: 2063: 2060: 2059: 2057: 2055: 2051: 2045: 2042: 2040: 2037: 2035: 2032: 2030: 2027: 2025: 2022: 2020: 2017: 2015: 2012: 2010: 2007: 2005: 2002: 2000: 1997: 1995: 1992: 1990: 1987: 1986: 1984: 1980: 1976: 1969: 1964: 1962: 1957: 1955: 1950: 1949: 1946: 1936: 1926: 1916: 1913: 1911: 1908: 1906: 1903: 1901: 1898: 1896: 1893: 1892: 1890: 1888: 1884: 1878: 1875: 1873: 1870: 1868: 1865: 1863: 1860: 1859: 1857: 1855: 1851: 1844: 1841: 1838: 1835: 1832: 1829: 1828: 1824: 1821: 1818: 1815: 1812: 1809: 1806: 1803: 1800: 1797: 1796: 1792: 1789: 1786: 1783: 1780: 1779:Lesser diesis 1777: 1776: 1772: 1769: 1766: 1763: 1760: 1757: 1754: 1751: 1750: 1748: 1746: 1745: 1740: 1734: 1731: 1729: 1726: 1724: 1721: 1720: 1718: 1716: 1715: 1714:Quarter tones 1710: 1704: 1701: 1699: 1696: 1694: 1691: 1690: 1688: 1686: 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1056: 1053: 1050: 1049: 1047: 1043: 1040: 1038: 1034: 1025: 1022: 1016: 1010: 1006: 999: 994: 992: 987: 985: 980: 979: 976: 969: 965: 962: 958: 954: 951: 947: 943: 942: 938: 933: 929: 928:Xenharmonikon 925: 921: 920: 916: 908: 904: 898: 895: 883: 882:TonalSoft.com 879: 873: 871: 867: 863: 862:9780879306038 859: 855: 854:9780879306038 849: 847: 845: 841: 837: 836:9788895203140 833: 829: 823: 820: 816: 811: 808: 801: 797: 792: 787: 783: 779: 775: 771: 767: 763: 759: 755: 751: 747: 741: 738: 737: 734: 728: 725: 721: 717: 713: 709: 706: 705: 704: 702: 698: 691: 682: 678: 671: 662: 661:Miracle scale 657: 655: 654: 649: 644: 629: 622: 619: 613: 607: 604: 598: 592: 589: 582: 560: 553: 550: 544: 538: 535: 529: 523: 520: 513: 504: 498: 496: 492: 475: 468: 465: 459: 454: 449: 443: 440: 434: 429: 423: 420: 413: 404: 387: 380: 377: 371: 365: 362: 356: 350: 347: 340: 332: 328: 324: 320: 312: 310: 305: 277: 268: 261: 252: 247: 245: 238: 230: 223: 215: 208: 200: 195: 193: 189: 182: 144: 140: 139: 127: 116: 106: 99: 97: 95: 91: 83: 81: 79: 74: 72: 68: 64: 56: 54: 51: 49: 45: 40: 36: 31: 29: 25: 21: 2444:Lambda scale 2351:Arabic maqam 2308:Werckmeister 2139:Temperaments 1886: 1853: 1839:(0.72 cents) 1833:(1.95 cents) 1813:(13.8 cents) 1807:(10.1 cents) 1801:(19.5 cents) 1793:(35.7 cents) 1787:(62.6 cents) 1781:(41.1 cents) 1773:(27.3 cents) 1767:(22.6 cents) 1761:(21.5 cents) 1755:(23.5 cents) 1742: 1723:Quarter tone 1713: 1712: 1683: 1682: 1639: 1604:Higher-limit 1519: 1513: 1425:major fourth 1369:quarter tone 1344: 1338: 1027: 960: 949: 946:George Secor 927: 906: 897: 885:. Retrieved 881: 853: 827: 822: 815:Announcement 810: 795: 790: 785: 784:>9 <0 781: 777: 773: 769: 765: 761: 757: 753: 749: 745: 732: 723: 719: 715: 711: 710:is a secor, 707: 696: 680: 660: 658: 651: 645: 499: 318: 316: 250: 248: 196: 188:Harry Partch 137: 136: 135:In music, a 134: 87: 75: 60: 52: 34: 32: 20:George Secor 19: 18: 2491:2020 deaths 2486:1943 births 2439:Delta scale 2434:Gamma scale 2424:Alpha scale 2326:non-Western 2324:Traditional 2019:Pitch class 1999:Millioctave 1982:Measurement 1872:Millioctave 1854:Measurement 1845:(0.4 cents) 1825:(7.7 cents) 1819:(8.1 cents) 1703:Major limma 1445:minor fifth 2460:Categories 2429:Beta scale 2407:Non-octave 2398:Tetrachord 2300:Kirnberger 2263:Schismatic 1905:Semiditone 1799:Diaschisma 1614:(17-limit) 1305:(22 or 23) 1303:fourteenth 1299:(20 or 21) 1297:thirteenth 1293:(18 or 19) 1287:(17 or 18) 1281:(15 or 16) 1275:(13 or 14) 1210:Diminished 1037:interval.) 1018:(post-Bach 907:Xenharmony 802:References 675:) and the 317:In music, 2419:A12 scale 2373:Octoechos 2338:ShĂ­-èr-lÇś 2287:Irregular 2104:Otonality 2044:Microtone 1867:Centitone 1805:Semicomma 1684:Semitones 1648:Microtone 1632:intervals 1309:fifteenth 1155:Augmented 1033:semitones 1005:Intervals 681:Blackjack 679:known as 599:÷ 530:× 430:÷ 357:÷ 2304:Vallotti 2257:septimal 2249:Meantone 2009:Interval 1837:Breedsma 1285:eleventh 1265:Compound 1020:Western) 1015:semitone 503:harmonic 143:interval 114:Play 8:7 2393:Slendro 2343:Dastgah 2268:Miracle 2231:96-tone 2226:72-tone 2221:58-tone 2216:53-tone 2211:41-tone 2206:34-tone 2201:31-tone 2191:24-tone 2186:23-tone 2181:22-tone 2176:19-tone 2171:17-tone 2166:15-tone 2161:12-tone 2092:7-limit 2087:5-limit 1843:Ragisma 1831:Schisma 1817:Kleisma 1653:5-limit 1559:(15:14) 1553:(21:20) 1547:(28:27) 1541:(36:35) 1531:7-limit 1496:⁄ 1485:seventh 1476:⁄ 1456:⁄ 1436:⁄ 1416:⁄ 1396:⁄ 1376:⁄ 1358:Neutral 1331:systems 1291:twelfth 1248:seventh 1199:seventh 1144:seventh 1107:seventh 1045:Perfect 1013:Twelve- 887:15 July 878:"Secor" 653:ragisma 331:225:224 295:⁠ 283:⁠ 166:⁠ 154:⁠ 141:is the 2361:Mugham 2347:Maqam 2241:Linear 2195:pieces 2156:6-tone 2077:Hexany 2004:Savart 1900:Ditone 1887:Others 1877:Savart 1744:Commas 1640:Groups 1589:(10:7) 1385:second 1329:tuning 1254:octave 1230:fourth 1218:second 1181:fourth 1169:second 1163:unison 1126:second 1089:second 1070:octave 1058:fourth 1052:unison 1035:in the 948:", on 860:  834:  780:>8 776:>7 772:>6 768:>5 764:>4 760:>3 756:>2 752:>1 748:>0 251:secors 227:, and 2378:Pelog 2366:Muqam 2312:Young 2273:Magic 2148:Equal 2082:Limit 1989:Pitch 1910:Secor 1658:Comma 1630:Other 1595:(7:4) 1583:(7:5) 1577:(9:7) 1571:(7:6) 1565:(8:7) 1465:sixth 1405:third 1327:Other 1279:tenth 1273:ninth 1242:sixth 1236:fifth 1224:third 1193:sixth 1187:fifth 1175:third 1138:sixth 1132:third 1118:Minor 1101:sixth 1095:third 1081:Major 1064:fifth 495:limit 491:seven 327:secor 321:is a 138:secor 90:video 28:secor 2383:Raga 1994:Cent 1895:Wolf 1862:Cent 1311:(24) 1256:(11) 1201:(12) 1195:(10) 1146:(10) 1109:(11) 1072:(12) 889:2013 858:ISBN 832:ISBN 722:and 689:Play 669:Play 469:1024 466:1029 303:Play 275:Play 259:Play 249:Two 236:Play 221:Play 206:Play 180:Play 78:here 1250:(9) 1244:(7) 1238:(6) 1232:(4) 1226:(2) 1220:(0) 1189:(8) 1183:(6) 1177:(5) 1171:(3) 1165:(1) 1140:(8) 1134:(3) 1128:(1) 1103:(9) 1097:(4) 1091:(2) 1066:(7) 1060:(5) 1054:(0) 959:", 905:", 623:384 620:385 381:224 378:225 309:). 286:11 190:'s 157:18 61:A 2462:: 2310:, 2306:, 2302:, 2255:, 1489:10 966:" 955:" 944:" 926:" 880:. 869:^ 843:^ 786:0' 703:. 608:35 605:48 590:11 554:35 551:48 366:15 363:16 351:14 348:15 292:9 214:41 212:, 199:31 163:5 148:( 96:. 80:. 50:. 30:. 2389:) 2385:( 2314:) 2298:( 2294:/ 2259:) 2251:( 2197:) 2193:( 1967:e 1960:t 1953:v 1501:) 1498:2 1494:1 1491:+ 1487:( 1481:) 1478:2 1474:1 1471:+ 1469:8 1467:( 1461:) 1458:2 1454:1 1451:+ 1449:6 1447:( 1441:) 1438:2 1434:1 1431:+ 1429:5 1427:( 1421:) 1418:2 1414:1 1411:+ 1409:3 1407:( 1401:) 1398:2 1394:1 1391:+ 1389:1 1387:( 1381:) 1378:2 1374:1 1371:( 997:e 990:t 983:v 952:. 934:. 909:. 901:" 891:. 864:. 838:. 782:9 778:8 774:7 770:6 766:5 762:4 758:3 754:2 750:1 746:0 724:q 720:s 716:r 712:q 708:s 683:( 663:( 630:) 614:= 593:8 583:( 561:) 545:= 539:5 536:6 524:7 521:8 514:( 493:- 476:) 460:= 455:3 450:) 444:7 441:8 435:( 424:2 421:3 414:( 388:) 372:= 341:( 289:/ 172:) 170:) 160:/ 150:( 131:.

Index

miracle temperament
secor
generalized keyboard
Easley Blackwood
demonstration video
YouTube channel
Free-bass system
Stradella bass system
here
video
accordionists.info

Play 8:7
Play two secors
interval
Play
Harry Partch
43 tone just intonation scale
31
Play
41
Play
72 equal temperament
Play
equal temperament
Play
septimal whole tone
Play
Play
regular temperament

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