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Factor (chord)

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197:. 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). 69: 101: 45: 1074: 35: 83: 805: 241:
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
70: 102: 46: 234:). 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. 242:
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.
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or extensions, i.e. notes beyond the seventh, in red (ninth, eleventh, thirteenth).
913: 785: 729: 689: 663: 604: 488: 478: 422: 376: 190: 151: 111: 1085: 1048: 888: 883: 790: 594: 581: 251: 205: 89: 34: 1128: 957: 903: 875: 831: 804: 744: 739: 699: 498: 460: 445: 371: 366: 261: 194: 183: 143: 139: 131: 58: 1081: 1007: 861: 734: 719: 704: 684: 658: 625: 361: 209: 135: 208:. For example, if the third is in the bass it is a first inversion chord ( 1022: 1017: 992: 987: 846: 714: 694: 648: 589: 473: 468: 256: 147: 39: 82: 1012: 856: 836: 599: 391: 223:) while if the seventh is in the bass the chord is in third inversion ( 167: 997: 620: 402: 396: 201: 1038: 865: 770: 386: 163: 841: 775: 238: 175: 319: 381: 155: 119: 414: 1126: 27:This article is about music. For Geodesics, see 189:Chord factors are taken into consideration in 1109: 430: 335: 170:(compound 6th), and so on, for their generic 1116: 1102: 437: 423: 342: 328: 81: 57: 33: 14: 1127: 418: 323: 1068: 24: 29:Geodesic dome § Chord factors 25: 1151: 349: 186:are distinguished, respectively. 62:Seventh (F) of a third inversion 1072: 803: 200:The chord factor that is in the 295: 274: 130:is a member or component of a 13: 1: 267: 1088:. You can help Knowledge by 7: 245: 10: 1156: 1067: 527:Dominant seventh flat five 444: 280:O'Toole, Patricia (2003). 38:Fifth (G), in red, of a C 26: 1031: 980: 940: 912: 874: 822: 812: 801: 758: 672: 634: 580: 497: 459: 452: 357: 301:Ostransky, Leroy (1977). 180:consonance and dissonance 182:of a chord factor and a 1044:Chord names and symbols 282:Shaping Sound Musicians 927:Secondary leading-tone 206:inversion of the chord 115: 79: 64:dominant seventh chord 55: 85: 61: 37: 932:Secondary supertonic 174:above the root. In 87:Dominant thirteenth 1140:Music theory stubs 1003:Chord-scale system 922:Secondary dominant 303:Understanding Jazz 134:. These are named 116: 80: 56: 1097: 1096: 1062: 1061: 976: 975: 894:Chromatic mediant 799: 798: 750:Viennese trichord 412: 411: 16:(Redirected from 1147: 1118: 1111: 1104: 1076: 1069: 820: 819: 807: 615: 614: 572:Harmonic seventh 542:Diminished major 457: 456: 439: 432: 425: 416: 415: 344: 337: 330: 321: 320: 314: 299: 293: 278: 233: 232: 231: 222: 221: 220: 166:(compound 4th), 109: 108: 107: 105: 97: 96: 77: 76: 75: 73: 53: 52: 51: 49: 21: 1155: 1154: 1150: 1149: 1148: 1146: 1145: 1144: 1125: 1124: 1123: 1122: 1065: 1063: 1058: 1027: 972: 936: 908: 870: 808: 795: 786:Synthetic chord 754: 725:Northern lights 690:Complexe sonore 668: 654:Augmented sixth 642: 640: 630: 612: 611: 605:Upper structure 576: 562:Altered seventh 557:Augmented minor 552:Augmented major 537:Half-diminished 493: 448: 443: 413: 408: 353: 348: 318: 317: 300: 296: 279: 275: 270: 248: 230: 227: 226: 225: 224: 219: 216: 215: 214: 213: 204:determines the 112:upper structure 103: 100: 99: 94: 93: 71: 68: 67: 47: 44: 43: 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369: 364: 358: 355: 354: 347: 346: 339: 332: 324: 316: 315: 294: 272: 271: 269: 266: 265: 264: 259: 254: 252:Degree (music) 247: 244: 228: 217: 90:extended chord 9: 6: 4: 3: 2: 1152: 1141: 1138: 1136: 1135:Chord factors 1133: 1132: 1130: 1119: 1114: 1112: 1107: 1105: 1100: 1099: 1093: 1091: 1087: 1084:article is a 1083: 1078: 1075: 1071: 1070: 1066: 1055: 1052: 1050: 1047: 1045: 1042: 1040: 1037: 1036: 1034: 1030: 1024: 1021: 1019: 1016: 1014: 1011: 1009: 1006: 1004: 1001: 999: 996: 994: 991: 989: 986: 985: 983: 979: 969: 966: 964: 961: 959: 958:Primary triad 956: 954: 951: 949: 946: 945: 943: 939: 933: 930: 928: 925: 923: 920: 919: 917: 915: 911: 905: 902: 900: 897: 895: 892: 890: 887: 885: 882: 881: 879: 877: 873: 867: 863: 860: 858: 855: 853: 850: 848: 845: 843: 840: 838: 835: 833: 830: 829: 827: 825: 821: 818: 816: 811: 806: 792: 789: 787: 784: 782: 779: 777: 774: 772: 769: 767: 764: 763: 761: 757: 751: 748: 746: 743: 741: 738: 736: 733: 731: 728: 726: 723: 721: 718: 716: 713: 711: 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84: 74: 65: 60: 50: 41: 36: 30: 19: 1090:expanding it 1082:music theory 1079: 1064: 1053: 862:Leading-tone 639: / 626:Tone cluster 507:Leading-tone 350: 302: 297: 281: 276: 236: 210:figured bass 199: 188: 128:chord factor 127: 123: 117: 18:Chord factor 847:Subdominant 710:Grandmother 567:Nondominant 547:Minor-major 257:Sixth chord 66:in C (G7) ( 40:major chord 1129:Categories 981:Techniques 968:Substitute 963:Subsidiary 899:Neapolitan 857:Submediant 837:Supertonic 610:Dominant 7 600:Thirteenth 532:Diminished 484:Diminished 392:Thirteenth 284:, p. 368. 268:References 168:thirteenth 998:Chordioid 914:Secondary 730:Petrushka 664:Seven six 621:Polychord 489:Suspended 479:Augmented 403:Bass note 397:Fifteenth 305:, p. 91. 92:: C E G B 1039:Arpeggio 953:Contrast 889:Borrowed 884:Approach 866:Subtonic 852:Dominant 824:Diatonic 815:function 771:Secundal 673:Specific 613:♯ 595:Eleventh 582:Extended 522:Dominant 387:Eleventh 246:See also 172:interval 164:eleventh 160:compound 95:♭ 904:Passing 876:Altered 842:Mediant 781:Quartal 776:Tertian 759:General 745:Tristan 740:So What 700:Elektra 641:omitted 499:Seventh 453:By form 377:Seventh 239:Tertian 191:voicing 176:harmony 152:seventh 1054:Factor 1008:Guitar 948:Common 791:Tetrad 735:Psalms 720:Mystic 705:Farben 685:Bridge 659:Lydian 446:Chords 309:  288:  178:, the 162:2nd), 124:factor 110:. 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Index

Chord factor
Geodesic dome § Chord factors

major chord
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dominant seventh chord
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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

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