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Augmented third

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265: 238: 138: 166: 132: 1313: 266: 239: 139: 167: 1034: 300: 377: 536: 321: 100: 195:. For instance, the interval from C to E is a major third, four semitones wide, and both the intervals from C 1335: 826: 806: 932: 938: 646: 499: 462: 721: 208: 1340: 1316: 1054: 993: 370: 1114: 591: 408: 1109: 920: 1296: 1049: 956: 950: 184: 25: 8: 1079: 944: 926: 1192: 629: 363: 192: 1248: 1134: 1074: 635: 611: 599: 580: 394: 317: 296: 215: 1204: 1029: 974: 968: 962: 866: 766: 739: 623: 605: 550: 544: 386: 219: 207:
are augmented thirds, spanning five semitones. Being augmented, it is considered a
176: 30: 1291: 1172: 896: 684: 574: 568: 156: 152: 120: 83: 1152: 1146: 1140: 912: 439: 223: 73: 1329: 1276: 1125: 1044: 1039: 985: 846: 786: 672: 660: 525: 488: 445: 1243: 1104: 750: 507: 470: 110: 93: 1253: 1084: 519: 513: 482: 476: 188: 1286: 1180: 678: 131: 1186: 690: 337:, p.89-90. Thurgate & Sons. Digitized Aug 16, 2007. Archaically: 180: 1218: 666: 414: 63: 1224: 1212: 1198: 617: 562: 262:, is 521.51 cents or 177147:131072, eleven just perfect fifths. 1281: 1258: 1166: 1160: 451: 433: 654: 355: 1327: 371: 1312: 378: 364: 287: 285: 130: 314:The Mathematical Theory of Tone Systems 222:, and its enharmonic equivalent is the 1328: 736: 306: 282: 359: 293:Music: In Theory and Practice, Vol. I 13: 247:The Pythagorean augmented third, E 14: 1352: 350:Benward & Saker (2003), p.92. 1311: 335:Music: Its Theory & Practice 344: 327: 1: 385: 276: 235:, is 456.99 cents or 125:96. 291:Benward & Saker (2003). 7: 933:septimal chromatic semitone 229:The just augmented third, E 10: 1357: 939:septimal diatonic semitone 727:(Numbers in brackets refer 324:. Classic augmented third. 1309: 1267: 1234: 1123: 1093: 1063: 1020: 1011: 984: 911: 894: 729:to fractional semitones.) 722:24-tone equal temperament 719: 708: 645: 590: 535: 498: 461: 426: 393: 119: 111:24-Tone equal temperament 109: 101:12-Tone equal temperament 99: 92: 82: 72: 62: 57: 49: 41: 36: 24: 183:. It may be produced by 1317:List of pitch intervals 1055:Subminor and supermajor 994:minor diatonic semitone 904:refer to pitch ratios.) 333:Hoffmann, F.A. (1881). 1115:Undecimal quarter tone 148: 1110:Septimal quarter tone 921:septimal quarter tone 312:Haluska, Jan (2003). 201:to E, and from C to E 135:Augmented third on C 134: 1297:Incomposite interval 1050:Pythagorean interval 902:(Numbers in brackets 410:(Numbers in brackets 88:125:96, 21:16, 64:49 1336:Augmented intervals 1080:Pythagorean apotome 927:septimal third tone 21: 1193:Septimal semicomma 193:chromatic semitone 149: 19: 1323: 1322: 1305: 1304: 1135:Pythagorean comma 1075:Pythagorean limma 1007: 1006: 1003: 1002: 969:supermajor fourth 945:supermajor second 890: 889: 704: 703: 700: 699: 412:are the number of 339:superfluous third 301:978-0-07-294262-0 129: 128: 1348: 1315: 1314: 1205:Septimal kleisma 1018: 1017: 975:subminor seventh 957:supermajor third 909: 908: 897:Just intonations 882: 881: 877: 874: 862: 861: 857: 854: 842: 841: 837: 834: 822: 821: 817: 814: 802: 801: 797: 794: 782: 781: 777: 774: 762: 761: 757: 734: 733: 717: 716: 424: 423: 406: 405: 380: 373: 366: 357: 356: 351: 348: 342: 331: 325: 310: 304: 289: 273: 272: 271: 269: 261: 258: 255: 252: 251: 246: 245: 244: 242: 234: 233: 220:diminished sixth 206: 205: 200: 199: 174: 173: 172: 170: 146: 145: 144: 142: 31:diminished sixth 22: 18: 16:Musical interval 1356: 1355: 1351: 1350: 1349: 1347: 1346: 1345: 1326: 1325: 1324: 1319: 1301: 1263: 1230: 1173:Septimal diesis 1119: 1089: 1059: 1013: 999: 980: 903: 900: 886: 879: 875: 872: 870: 859: 855: 852: 850: 839: 835: 832: 830: 819: 815: 812: 810: 799: 795: 792: 790: 779: 775: 772: 770: 759: 755: 754: 744: 743: 742: 738: 728: 725: 712: 710: 696: 641: 586: 531: 494: 457: 418: 413: 411: 401: 399: 396: 389: 384: 354: 349: 345: 332: 328: 311: 307: 290: 283: 279: 267: 264: 263: 259: 256: 253: 249: 248: 240: 237: 236: 231: 230: 203: 202: 197: 196: 168: 165: 164: 161:augmented third 157:Western culture 153:classical music 140: 137: 136: 121:Just intonation 20:Augmented third 17: 12: 11: 5: 1354: 1344: 1343: 1341:Thirds (music) 1338: 1321: 1320: 1310: 1307: 1306: 1303: 1302: 1300: 1299: 1294: 1289: 1284: 1279: 1273: 1271: 1265: 1264: 1262: 1261: 1256: 1251: 1246: 1240: 1238: 1232: 1231: 1229: 1228: 1222: 1216: 1209: 1208: 1202: 1196: 1190: 1184: 1177: 1176: 1170: 1167:Greater diesis 1164: 1157: 1156: 1153:Septimal comma 1150: 1147:Holdrian comma 1144: 1141:Syntonic comma 1138: 1131: 1129: 1121: 1120: 1118: 1117: 1112: 1107: 1101: 1099: 1091: 1090: 1088: 1087: 1082: 1077: 1071: 1069: 1061: 1060: 1058: 1057: 1052: 1047: 1042: 1037: 1032: 1026: 1024: 1015: 1009: 1008: 1005: 1004: 1001: 1000: 998: 997: 990: 988: 982: 981: 979: 978: 972: 966: 963:subminor fifth 960: 954: 951:subminor third 948: 942: 936: 930: 924: 917: 915: 906: 892: 891: 888: 887: 885: 884: 864: 844: 824: 804: 784: 764: 747: 745: 737: 731: 714: 706: 705: 702: 701: 698: 697: 695: 694: 688: 682: 676: 670: 664: 658: 651: 649: 643: 642: 640: 639: 633: 627: 621: 615: 609: 603: 596: 594: 588: 587: 585: 584: 578: 572: 566: 560: 554: 548: 541: 539: 533: 532: 530: 529: 523: 517: 511: 504: 502: 496: 495: 493: 492: 486: 480: 474: 467: 465: 459: 458: 456: 455: 449: 443: 437: 430: 428: 421: 403: 391: 390: 383: 382: 375: 368: 360: 353: 352: 343: 326: 305: 280: 278: 275: 224:perfect fourth 127: 126: 123: 117: 116: 113: 107: 106: 103: 97: 96: 90: 89: 86: 80: 79: 76: 74:Interval class 70: 69: 66: 60: 59: 55: 54: 51: 47: 46: 43: 39: 38: 34: 33: 28: 15: 9: 6: 4: 3: 2: 1353: 1342: 1339: 1337: 1334: 1333: 1331: 1318: 1308: 1298: 1295: 1293: 1290: 1288: 1285: 1283: 1280: 1278: 1275: 1274: 1272: 1270: 1266: 1260: 1257: 1255: 1252: 1250: 1247: 1245: 1242: 1241: 1239: 1237: 1233: 1226: 1223: 1220: 1217: 1214: 1211: 1210: 1206: 1203: 1200: 1197: 1194: 1191: 1188: 1185: 1182: 1179: 1178: 1174: 1171: 1168: 1165: 1162: 1161:Lesser diesis 1159: 1158: 1154: 1151: 1148: 1145: 1142: 1139: 1136: 1133: 1132: 1130: 1128: 1127: 1122: 1116: 1113: 1111: 1108: 1106: 1103: 1102: 1100: 1098: 1097: 1096:Quarter tones 1092: 1086: 1083: 1081: 1078: 1076: 1073: 1072: 1070: 1068: 1067: 1062: 1056: 1053: 1051: 1048: 1046: 1045:Pseudo-octave 1043: 1041: 1038: 1036: 1033: 1031: 1028: 1027: 1025: 1023: 1019: 1016: 1010: 995: 992: 991: 989: 987: 983: 976: 973: 970: 967: 964: 961: 958: 955: 952: 949: 946: 943: 940: 937: 934: 931: 928: 925: 922: 919: 918: 916: 914: 910: 907: 905: 899: 898: 893: 868: 865: 848: 845: 828: 825: 808: 805: 788: 785: 768: 765: 752: 749: 748: 746: 741: 735: 732: 730: 724: 723: 718: 715: 707: 692: 689: 686: 683: 680: 677: 674: 671: 668: 665: 662: 659: 656: 653: 652: 650: 648: 644: 637: 634: 631: 628: 625: 622: 619: 616: 613: 610: 607: 604: 601: 598: 597: 595: 593: 589: 582: 579: 576: 573: 570: 567: 564: 561: 558: 555: 552: 549: 546: 543: 542: 540: 538: 534: 527: 524: 521: 518: 515: 512: 509: 506: 505: 503: 501: 497: 490: 487: 484: 481: 478: 475: 472: 469: 468: 466: 464: 460: 453: 450: 447: 444: 441: 438: 435: 432: 431: 429: 425: 422: 420: 416: 407: 404: 398: 392: 388: 381: 376: 374: 369: 367: 362: 361: 358: 347: 340: 336: 330: 323: 322:0-8247-4714-3 319: 315: 309: 302: 298: 294: 288: 286: 281: 274: 270: 243: 227: 225: 221: 217: 212: 210: 194: 190: 186: 182: 178: 171: 162: 158: 154: 143: 133: 124: 122: 118: 114: 112: 108: 104: 102: 98: 95: 91: 87: 85: 84:Just interval 81: 77: 75: 71: 67: 65: 61: 56: 52: 48: 44: 40: 35: 32: 29: 27: 23: 1268: 1235: 1221:(0.72 cents) 1215:(1.95 cents) 1195:(13.8 cents) 1189:(10.1 cents) 1183:(19.5 cents) 1175:(35.7 cents) 1169:(62.6 cents) 1163:(41.1 cents) 1155:(27.3 cents) 1149:(22.6 cents) 1143:(21.5 cents) 1137:(23.5 cents) 1124: 1105:Quarter tone 1095: 1094: 1065: 1064: 1021: 986:Higher-limit 901: 895: 807:major fourth 751:quarter tone 726: 720: 556: 409: 346: 338: 334: 329: 313: 308: 292: 228: 213: 160: 150: 50:Abbreviation 1254:Millioctave 1236:Measurement 1227:(0.4 cents) 1207:(7.7 cents) 1201:(8.1 cents) 1085:Major limma 827:minor fifth 189:major third 42:Other names 1330:Categories 1287:Semiditone 1181:Diaschisma 996:(17-limit) 687:(22 or 23) 685:fourteenth 681:(20 or 21) 679:thirteenth 675:(18 or 19) 669:(17 or 18) 663:(15 or 16) 657:(13 or 14) 592:Diminished 419:interval.) 400:(post-Bach 316:, p.xxvi. 277:References 211:interval. 1249:Centitone 1187:Semicomma 1066:Semitones 1030:Microtone 1014:intervals 691:fifteenth 537:Augmented 415:semitones 387:Intervals 216:inversion 209:dissonant 181:semitones 64:Semitones 1219:Breedsma 667:eleventh 647:Compound 402:Western) 397:semitone 295:, p.54. 250:♯ 232:♯ 204:♯ 198:♭ 185:widening 179:of five 177:interval 175:) is an 1225:Ragisma 1213:Schisma 1199:Kleisma 1035:5-limit 941:(15:14) 935:(21:20) 929:(28:27) 923:(36:35) 913:7-limit 878:⁄ 867:seventh 858:⁄ 838:⁄ 818:⁄ 798:⁄ 778:⁄ 758:⁄ 740:Neutral 713:systems 673:twelfth 630:seventh 581:seventh 526:seventh 489:seventh 427:Perfect 395:Twelve- 218:is the 26:Inverse 1282:Ditone 1269:Others 1259:Savart 1126:Commas 1022:Groups 971:(10:7) 767:second 711:tuning 636:octave 612:fourth 600:second 563:fourth 551:second 545:unison 508:second 471:second 452:octave 440:fourth 434:unison 417:in the 320:  299:  1292:Secor 1040:Comma 1012:Other 977:(7:4) 965:(7:5) 959:(9:7) 953:(7:6) 947:(8:7) 847:sixth 787:third 709:Other 661:tenth 655:ninth 624:sixth 618:fifth 606:third 575:sixth 569:fifth 557:third 520:sixth 514:third 500:Minor 483:sixth 477:third 463:Major 446:fifth 191:by a 159:, an 155:from 94:Cents 1277:Wolf 1244:Cent 693:(24) 638:(11) 583:(12) 577:(10) 528:(10) 491:(11) 454:(12) 318:ISBN 297:ISBN 268:Play 241:Play 214:Its 169:Play 141:Play 58:Size 37:Name 632:(9) 626:(7) 620:(6) 614:(4) 608:(2) 602:(0) 571:(8) 565:(6) 559:(5) 553:(3) 547:(1) 522:(8) 516:(3) 510:(1) 485:(9) 479:(4) 473:(2) 448:(7) 442:(5) 436:(0) 151:In 125:457 115:500 105:500 1332:: 871:10 284:^ 226:. 187:a 53:A3 883:) 880:2 876:1 873:+ 869:( 863:) 860:2 856:1 853:+ 851:8 849:( 843:) 840:2 836:1 833:+ 831:6 829:( 823:) 820:2 816:1 813:+ 811:5 809:( 803:) 800:2 796:1 793:+ 791:3 789:( 783:) 780:2 776:1 773:+ 771:1 769:( 763:) 760:2 756:1 753:( 379:e 372:t 365:v 341:. 303:. 260:+ 257:+ 254:+ 163:( 147:. 78:5 68:5 45:-

Index

Inverse
diminished sixth
Semitones
Interval class
Just interval
Cents
12-Tone equal temperament
24-Tone equal temperament
Just intonation

Play
classical music
Western culture
Play
interval
semitones
widening
major third
chromatic semitone
dissonant
inversion
diminished sixth
perfect fourth
Play
Play


ISBN
978-0-07-294262-0
ISBN

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