Knowledge (XXG)

Factor (chord)

Source 📝

186:. A chord contains exactly as many factors as it contains unique pitch names (octaves don't matter), while a voicing can have any number of voices that draw from and represent some or all the factors of a chord in various octaves. Thus, a chord with three unique pitch names always has three factors, even if some of those pitches are doubled or omitted in a particular voicing. For example, the figure to the right shows a four-note voicing of a C Major triad, which has three chord factors. The "root" chord factor (pitch name "C"), is represented twice in the voicing by voices 1 and 4 in different octaves. The chord factor called the "fifth" (pitch name "G") is represented in voice 2 (shown in red). 1063: 24: 72: 794: 230:
harmony, chords are made more complex, or "extended", by introducing additional chord factors stacked in thirds. The illustration shows the theoretical construction of a C13 chord having seven chord factors, with the "extended" chord factors shown in red. In real applications, it is common practice
59: 91: 35: 223:). The illustration shows one possible four-note voicing of a G7 third-inversion chord (written G7/F in lead-sheet chord-symbol notation), with every chord factor being represented once by a voice in the voicing. 231:
to omit the eleventh from voicings of a dominant 13 chord, because though being necessary to theoretically derive the thirteenth by stacking on it, the unaltered perfect eleventh clashes with the major third.
1104: 48: 1032: 330: 598: 299: 278: 515: 425: 1097: 530: 941: 540: 525: 698: 1128: 769: 323: 1090: 1062: 555: 535: 168: 75: 520: 545: 1123: 915: 812: 560: 510: 316: 52: 713: 642: 550: 936: 920: 754: 418: 505: 500: 991: 956: 910: 882: 803: 738: 295: 274: 148: 23: 1074: 951: 887: 840: 625: 472: 160: 47: 902: 774: 718: 678: 668: 652: 593: 477: 467: 411: 365: 179: 140: 100: 1037: 877: 872: 779: 583: 570: 240: 194: 78: 71: 1117: 946: 892: 864: 820: 793: 733: 728: 688: 487: 449: 434: 360: 355: 250: 183: 172: 132: 128: 120: 17: 1070: 996: 850: 723: 708: 693: 673: 647: 614: 495: 350: 198: 124: 103:
or extensions, i.e. notes beyond the seventh, in red (ninth, eleventh, thirteenth).
1011: 1006: 981: 976: 835: 703: 683: 637: 578: 462: 457: 245: 136: 28: 1001: 845: 825: 588: 380: 156: 986: 609: 391: 385: 190: 197:. For example, if the third is in the bass it is a first inversion chord ( 1027: 854: 759: 375: 152: 830: 764: 227: 212:) while if the seventh is in the bass the chord is in third inversion ( 164: 370: 144: 108: 70: 46: 22: 308: 407: 312: 403: 1078: 1020: 969: 929: 901: 863: 811: 801: 747: 661: 623: 569: 486: 448: 441: 16:This article is about music. For Geodesics, see 178:Chord factors are taken into consideration in 1098: 419: 324: 159:(compound 6th), and so on, for their generic 8: 1105: 1091: 808: 445: 426: 412: 404: 331: 317: 309: 262: 7: 1059: 1057: 1077:. You can help Knowledge (XXG) by 18:Geodesic dome § Chord factors 14: 175:are distinguished, respectively. 51:Seventh (F) of a third inversion 1061: 792: 189:The chord factor that is in the 119:is a member or component of a 1: 1145: 1056: 516:Dominant seventh flat five 269:O'Toole, Patricia (2003). 27:Fifth (G), in red, of a C 15: 790: 346: 290:Ostransky, Leroy (1977). 169:consonance and dissonance 171:of a chord factor and a 1033:Chord names and symbols 271:Shaping Sound Musicians 916:Secondary leading-tone 195:inversion of the chord 104: 68: 53:dominant seventh chord 44: 74: 50: 26: 921:Secondary supertonic 163:above the root. In 76:Dominant thirteenth 1129:Music theory stubs 992:Chord-scale system 911:Secondary dominant 292:Understanding Jazz 123:. These are named 105: 69: 45: 1086: 1085: 1051: 1050: 965: 964: 883:Chromatic mediant 788: 787: 739:Viennese trichord 401: 400: 1136: 1107: 1100: 1093: 1065: 1058: 809: 796: 604: 603: 561:Harmonic seventh 531:Diminished major 446: 428: 421: 414: 405: 333: 326: 319: 310: 303: 288: 282: 267: 222: 221: 220: 211: 210: 209: 155:(compound 4th), 98: 97: 96: 94: 86: 85: 66: 65: 64: 62: 42: 41: 40: 38: 1144: 1143: 1139: 1138: 1137: 1135: 1134: 1133: 1114: 1113: 1112: 1111: 1054: 1052: 1047: 1016: 961: 925: 897: 859: 797: 784: 775:Synthetic chord 743: 714:Northern lights 679:Complexe sonore 657: 643:Augmented sixth 631: 629: 619: 601: 600: 594:Upper structure 565: 551:Altered seventh 546:Augmented minor 541:Augmented major 526:Half-diminished 482: 437: 432: 402: 397: 342: 337: 307: 306: 289: 285: 268: 264: 259: 237: 219: 216: 215: 214: 213: 208: 205: 204: 203: 202: 193:determines the 101:upper structure 92: 90: 89: 88: 83: 82: 60: 58: 57: 56: 36: 34: 33: 32: 21: 12: 11: 5: 1142: 1140: 1132: 1131: 1126: 1116: 1115: 1110: 1109: 1102: 1095: 1087: 1084: 1083: 1066: 1049: 1048: 1046: 1045: 1040: 1038:List of chords 1035: 1030: 1024: 1022: 1018: 1017: 1015: 1014: 1009: 1004: 999: 994: 989: 984: 979: 973: 971: 967: 966: 963: 962: 960: 959: 954: 949: 944: 939: 933: 931: 927: 926: 924: 923: 918: 913: 907: 905: 899: 898: 896: 895: 890: 885: 880: 875: 869: 867: 861: 860: 858: 857: 848: 843: 838: 833: 828: 823: 817: 815: 806: 799: 798: 791: 789: 786: 785: 783: 782: 777: 772: 767: 762: 757: 755:Mixed interval 751: 749: 745: 744: 742: 741: 736: 731: 726: 721: 716: 711: 706: 701: 696: 691: 686: 681: 676: 671: 665: 663: 659: 658: 656: 655: 650: 645: 640: 634: 632: 624: 621: 620: 618: 617: 612: 607: 596: 591: 586: 581: 575: 573: 567: 566: 564: 563: 558: 553: 548: 543: 538: 533: 528: 523: 518: 513: 508: 503: 498: 492: 490: 484: 483: 481: 480: 475: 470: 465: 460: 454: 452: 443: 439: 438: 433: 431: 430: 423: 416: 408: 399: 398: 396: 395: 388: 383: 378: 373: 368: 363: 358: 353: 347: 344: 343: 338: 336: 335: 328: 321: 313: 305: 304: 283: 261: 260: 258: 255: 254: 253: 248: 243: 241:Degree (music) 236: 233: 217: 206: 79:extended chord 13: 10: 9: 6: 4: 3: 2: 1141: 1130: 1127: 1125: 1124:Chord factors 1122: 1121: 1119: 1108: 1103: 1101: 1096: 1094: 1089: 1088: 1082: 1080: 1076: 1073:article is a 1072: 1067: 1064: 1060: 1055: 1044: 1041: 1039: 1036: 1034: 1031: 1029: 1026: 1025: 1023: 1019: 1013: 1010: 1008: 1005: 1003: 1000: 998: 995: 993: 990: 988: 985: 983: 980: 978: 975: 974: 972: 968: 958: 955: 953: 950: 948: 947:Primary triad 945: 943: 940: 938: 935: 934: 932: 928: 922: 919: 917: 914: 912: 909: 908: 906: 904: 900: 894: 891: 889: 886: 884: 881: 879: 876: 874: 871: 870: 868: 866: 862: 856: 852: 849: 847: 844: 842: 839: 837: 834: 832: 829: 827: 824: 822: 819: 818: 816: 814: 810: 807: 805: 800: 795: 781: 778: 776: 773: 771: 768: 766: 763: 761: 758: 756: 753: 752: 750: 746: 740: 737: 735: 732: 730: 727: 725: 722: 720: 717: 715: 712: 710: 707: 705: 702: 700: 697: 695: 692: 690: 687: 685: 682: 680: 677: 675: 672: 670: 667: 666: 664: 660: 654: 651: 649: 646: 644: 641: 639: 636: 635: 633: 627: 622: 616: 613: 611: 608: 606: 597: 595: 592: 590: 587: 585: 582: 580: 577: 576: 574: 572: 568: 562: 559: 557: 554: 552: 549: 547: 544: 542: 539: 537: 534: 532: 529: 527: 524: 522: 519: 517: 514: 512: 509: 507: 504: 502: 499: 497: 494: 493: 491: 489: 485: 479: 476: 474: 471: 469: 466: 464: 461: 459: 456: 455: 453: 451: 447: 444: 440: 436: 429: 424: 422: 417: 415: 410: 409: 406: 393: 389: 387: 384: 382: 379: 377: 374: 372: 369: 367: 364: 362: 359: 357: 354: 352: 349: 348: 345: 341: 340:Chord factors 334: 329: 327: 322: 320: 315: 314: 311: 301: 300:0-13-936542-7 297: 293: 287: 284: 280: 279:1-57999-211-0 276: 272: 266: 263: 256: 252: 251:Triad (music) 249: 247: 244: 242: 239: 238: 234: 232: 229: 224: 200: 196: 192: 187: 185: 184:voice leading 181: 176: 174: 173:nonchord tone 170: 166: 162: 158: 154: 150: 146: 142: 138: 134: 130: 126: 122: 118: 114: 110: 102: 95: 80: 77: 73: 63: 54: 49: 39: 30: 25: 19: 1079:expanding it 1071:music theory 1068: 1053: 1042: 851:Leading-tone 628: / 615:Tone cluster 496:Leading-tone 339: 291: 286: 270: 265: 225: 199:figured bass 188: 177: 117:chord factor 116: 112: 106: 836:Subdominant 699:Grandmother 556:Nondominant 536:Minor-major 246:Sixth chord 55:in C (G7) ( 29:major chord 1118:Categories 970:Techniques 957:Substitute 952:Subsidiary 888:Neapolitan 846:Submediant 826:Supertonic 599:Dominant 7 589:Thirteenth 521:Diminished 473:Diminished 381:Thirteenth 273:, p. 368. 257:References 157:thirteenth 987:Chordioid 903:Secondary 719:Petrushka 653:Seven six 610:Polychord 478:Suspended 468:Augmented 392:Bass note 386:Fifteenth 294:, p. 91. 81:: C E G B 1028:Arpeggio 942:Contrast 878:Borrowed 873:Approach 855:Subtonic 841:Dominant 813:Diatonic 804:function 760:Secundal 662:Specific 602:♯ 584:Eleventh 571:Extended 511:Dominant 376:Eleventh 235:See also 161:interval 153:eleventh 149:compound 84:♭ 893:Passing 865:Altered 831:Mediant 770:Quartal 765:Tertian 748:General 734:Tristan 729:So What 689:Elektra 630:omitted 488:Seventh 442:By form 366:Seventh 228:Tertian 180:voicing 165:harmony 141:seventh 1043:Factor 997:Guitar 937:Common 780:Tetrad 724:Psalms 709:Mystic 694:Farben 674:Bridge 648:Lydian 435:Chords 298:  277:  167:, the 151:2nd), 113:factor 99:. The 87:D F A 1069:This 1021:Other 1012:Slash 1007:Power 982:Block 977:Barre 930:Other 821:Tonic 704:Magic 684:Dream 669:Alpha 638:Sixth 626:Added 579:Ninth 506:Minor 501:Major 463:Minor 458:Major 450:Triad 371:Ninth 361:Fifth 356:Third 145:ninth 137:sixth 133:fifth 129:third 121:chord 109:music 1075:stub 1002:Open 351:Root 296:ISBN 275:ISBN 191:bass 182:and 125:root 111:, a 93:play 61:Play 37:Play 802:By 226:In 115:or 107:In 1120:: 853:/ 201:: 143:, 139:, 135:, 131:, 127:, 67:). 43:). 1106:e 1099:t 1092:v 1081:. 605:9 427:e 420:t 413:v 394:) 390:( 332:e 325:t 318:v 302:. 281:. 218:2 207:3 147:( 31:( 20:.

Index

Geodesic dome § Chord factors

major chord
Play

dominant seventh chord
Play

Dominant thirteenth
extended chord
play
upper structure
music
chord
root
third
fifth
sixth
seventh
ninth
compound
eleventh
thirteenth
interval
harmony
consonance and dissonance
nonchord tone
voicing
voice leading
bass

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.