452:
1125:
1153:
436:
423:
1041:
1033:
573:
396:
1112:
1098:
883:
949:
839:
773:
504:
294:
1018:
610:
995:
675:
927:
905:
751:
1075:
861:
972:
795:
1056:
728:
266:
254:
817:
987:
651:
365:
1090:
387:
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1010:
942:
743:
832:
766:
498:
920:
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669:
854:
788:
810:
279:
130:
37:
2020:
3332:
1138:
530:
545:
597:
520:
the "most common" pitches present in V chord are the root, 3rd, 7th, and 13th; with the 5th, 9th, and 11th "typically omitted". The 13th is most often in the soprano, or highest voice, and usually resolves down by a 3rd to the tonic I or i. If the V is followed by a I the 13th may resolve to the 9th.
377:
However, Walter Piston, writing in 1952, considered that, "a true thirteenth chord, arrived at by superposition of thirds, is a rare phenomenon even in 20th-century music." This may be due to four-part writing, instrument limitations, and voice leading and stylistic considerations. For example, "to
416:(V), whether they have the exact intervals of a dominant thirteenth or not. Typically, a dominant chord anticipating a major resolution will feature a natural 13, while a dominant chord anticipating a minor resolution will feature a flat 13. Since thirteenth chords contain more than four notes, in
637:
453:
1126:
1154:
424:
1042:
397:
700:
seven notes, itself, "a rare phenomenon", is a theoretical impossibility since a new thirteenth chord with a different root is produced, for example Cmaj (C-E-G-B-D-F-A) becomes Em (E-G-B-D-F-A-C) then G (G-B-D-F-A-C-E), and so on, when inverted.
574:
884:
1099:
950:
1121:
motif, at Mélisande's entrance and later when Golaud asks if she ever loved Pelléas, features, in addition to the already usual ninth, a thirteenth is added and the chords are inverted so as to be founded on a "warm" close-position fourth.
840:
774:
622:
While the dominant thirteenth is the most common thirteenth chord, the major thirteenth is also fairly common. A major thirteenth chord (containing a major seventh) will nearly always feature a chromatically raised eleventh (C E G B D
505:
295:
1019:
928:
906:
996:
752:
676:
611:
1076:
486:). A thirteenth chord does not imply the quality of the ninth or eleventh scale degrees. In general, what gives a thirteenth chord its characteristic sound is the dissonance between the flat seventh and the thirteenth, an
862:
973:
796:
729:
633:), except for cases when the eleventh is omitted altogether. "It is customary to omit the eleventh on dominant or major thirteenth chords because the eleventh conflicts with the third," in these chords by a semitone.
267:
255:
818:
652:
1055:
366:
986:
1032:
432:. The third indicates the quality of the chord as major or minor, the seventh is important for the quality as a dominant chord, while the thirteenth is necessary in a thirteenth chord.
562:
648:(transcribed by Brent Edstrom) features 13th chords and also reveals the distinction between the compound and simple intervals of a 13th and an added 6th, respectively.
343:. "The jazzy thirteenth is a very versatile chord and is used in many genres." Since 13th chords tend to become unclear or confused with other chords when
445:
3053:
709:
Given the number of notes that may be included, there are a great variety of thirteenth chords. The following chords are notated below
1089:
2301:
2258:
1924:
1253:
742:
1009:
719:
2396:
963:
1824:
2555:
1620:
1599:
1560:
1530:
1483:
1459:
1438:
1332:
1223:
1117:
1741:
1651:
374:, because the sixth serves as a substitution for the major seventh, thus considered a chord tone in such context.
208:
118:
17:
1756:
435:
2167:
1766:
1751:
2845:
2825:
420:
the root, third, seventh, and thirteenth are most often included, excluding the fifth, ninth, and eleventh
537:
These voice leading guidelines may not be followed after the common practice period in techniques such as
3369:
2951:
2294:
1995:
28:
1400:
Everett, Walter (October 2004). "A Royal Scam: The
Abstruse and Ironic Bop-Rock Harmony of Steely Dan".
1111:
2957:
2665:
2518:
2481:
1721:
1137:
464:
In modern pop and jazz harmony, after the dominant thirteenth, a thirteenth chord (usually notated as
2740:
1781:
1761:
1062:
282:
3359:
1746:
1216:
Guitar Chord Bible: Over 500 Illustrated Chords for Rock, Blues, Soul, Country, Jazz, and
Classical
1361:
Cox, Felix (Autumn 2005). "'A Faltering Step in a
Basically Right Direction': Richard Rodgers and
3364:
3335:
3073:
3012:
2389:
1771:
875:
3354:
3133:
2610:
2287:
2141:
2038:
1786:
1736:
941:
517:
2427:
1431:
Picture Chord
Encyclopedia: Photos, Diagrams and Music Notation for Over 1,600 Keyboard Chords
831:
765:
3128:
2939:
1939:
1894:
1868:
1776:
1143:
479:
3315:
3068:
2975:
2969:
2162:
2146:
1980:
1644:
151:
53:
919:
897:
544:
8:
3098:
2963:
2945:
1731:
1726:
992:"Thirteenth chord inversion with no fifth or ninth and the flatted seventh in the bass."
853:
386:
787:
468:, e.g. C) contains an implied flatted seventh interval. Thus, a C consists of C, E, G, B
3211:
2648:
2382:
2217:
2182:
2136:
1382:
604:
483:
3267:
809:
378:
make the chord more playable , thirteenth chords often omit the fifth and the ninth."
3153:
3093:
2654:
2630:
2618:
2599:
2413:
2108:
2029:
1964:
1616:
1595:
1556:
1526:
1479:
1455:
1434:
1328:
1249:
1219:
693:
567:
417:
413:
391:
585:
13th chords may less often be built on degrees other than the dominant, such as the
3223:
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2785:
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2642:
2624:
2569:
2563:
2405:
2177:
2113:
2066:
1851:
1698:
1409:
1374:
1282:
1181:
1176:
685:
538:
487:
410:
248:
3310:
3191:
2915:
2703:
2593:
2587:
2575:
2336:
2128:
2000:
1944:
1904:
1878:
1819:
1703:
1693:
1637:
641:
600:
497:
475:
352:
304:
596:
3171:
3165:
3159:
2931:
2458:
2310:
2268:
2263:
2103:
2098:
2005:
1809:
1796:
1286:
645:
440:
344:
332:
324:
191:
101:
1413:
668:
3348:
3295:
3144:
3063:
3058:
3004:
2865:
2805:
2691:
2679:
2544:
2507:
2464:
2331:
2326:
2172:
2118:
2090:
2046:
2019:
1959:
1954:
1914:
1713:
1675:
1660:
586:
491:
356:
348:
331:(built from thirds) chord containing the interval of a thirteenth, and is an
244:
501:
Voice leading for dominant thirteenth chords in the common practice period.
3262:
3123:
2769:
2526:
2489:
2321:
2222:
2076:
1949:
1934:
1919:
1899:
1873:
1840:
1186:
1148:
1069:
251:
between the root and the thirteenth. The thirteenth is most commonly major
240:
236:
232:
224:
201:
111:
1553:
Guitar Chords Deluxe: Full-Color Photos and
Diagrams for Over 1,600 Chords
27:
This article is about the term's use in music theory. For other uses, see
3272:
3103:
2538:
2532:
2501:
2495:
2237:
2232:
2207:
2202:
2061:
1929:
1909:
1863:
1804:
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630:
590:
360:
320:
316:
156:
58:
40:
Compound interval of a major thirteenth from F to D in the next octave up
1038:
Dominant thirteenth: four-voice version. "This disposition is typical."
278:
129:
36:
3305:
3199:
2227:
2071:
2051:
1386:
1171:
710:
636:
3205:
2709:
2362:
2356:
2212:
1835:
474:, and A. The underlying harmony during a thirteenth chord is usually
1378:
3237:
2685:
2433:
2346:
2253:
2080:
1985:
1066:
340:
181:
91:
3243:
3231:
3217:
2636:
2581:
2056:
1990:
328:
2279:
3300:
3277:
3185:
3179:
2470:
2452:
533:
Thirteenth chords and major thirteenth chords with sheet music.
2673:
2341:
1141:
A non-functional example: transitional thirteenth chord from
336:
220:
2374:
1061:
A thirteenth chord "collapsed" into one octave results in a
607:" (recorded 1946) is a "tonic thirteenth chord" in lydian.
529:
1629:
1319:
1317:
307:
or extensions, i.e. notes beyond the seventh, in red.
560:
13 chords in the "railroad sonority" from mm.1–4 of
1314:
672:CM, first inversion = Em, 2nd inversion = G... (
3346:
1425:
1423:
1347:
1345:
1343:
1341:
1508:
1506:
1504:
1502:
1500:
1498:
1496:
1494:
1492:
323:) thirds, the last being above the 11th of an
2390:
2295:
1645:
1420:
1338:
1307:
1305:
1489:
3331:
2397:
2383:
2302:
2288:
1652:
1638:
1470:
1468:
1302:
644:in measures 5–8 of "Noreen's Nocturne" by
524:
1240:
1238:
1236:
1234:
1232:
696:of a complete thirteenth chord including
1264:
1262:
1136:
1110:
667:
635:
595:
543:
528:
496:
434:
385:
277:
128:
35:
1465:
1399:
1246:Music in Theory and Practice: Volume II
14:
3347:
2755:
1268:
1229:
725:Thirteenth chord based on minor triad
692:Generally found in root position, the
381:
2378:
2283:
1633:
1351:Benward & Saker (2009), p.183-84.
1259:
1592:Claude Debussy: Pelléas et Mélisande
355:, a major triad with an added major
1360:
684:). Eventually seven chords along a
409:Most commonly, 13th chords serve a
24:
1512:Benward & Saker (2009), p.185.
1311:Benward & Saker (2009), p.180.
1205:Benward & Saker (2009), p.360.
1095:A dominant thirteenth in F minor.
25:
3381:
2309:
969:Bass note: C or alternatively G.
748:Thirteenth chord with flat ninth
446:Prélude à l'après-midi d'un faune
3330:
2018:
1088:
1054:
1031:
1008:
985:
962:
940:
918:
896:
874:
852:
830:
808:
786:
764:
741:
718:
1605:
1584:
1575:
1566:
1545:
1536:
1515:
1444:
1393:
327:. Thus a thirteenth chord is a
1354:
1293:
1208:
1199:
1015:Different voicing for guitar.
541:and in the following example:
347:, they are generally found in
13:
1:
2404:
1192:
663:
439:Dominant thirteenth chord in
390:Dominant thirteenth chord in
1452:Perspectives in Music Theory
1273:by Roger Sessions". Review.
1244:Benward & Saker (2009).
351:. For example, depending on
7:
2952:septimal chromatic semitone
1474:Kostka & Payne (1995).
1165:
29:Thirteenth (disambiguation)
10:
3386:
2958:septimal diatonic semitone
2746:(Numbers in brackets refer
1742:Dominant seventh flat five
1659:
1551:Hal Leonard Corp. (2004).
1429:Hal Leonard Corp. (2003).
704:
26:
3328:
3286:
3253:
3142:
3112:
3082:
3039:
3030:
3003:
2930:
2913:
2748:to fractional semitones.)
2741:24-tone equal temperament
2738:
2727:
2664:
2609:
2554:
2517:
2480:
2445:
2412:
2317:
2246:
2195:
2155:
2127:
2089:
2037:
2027:
2016:
1973:
1887:
1849:
1795:
1712:
1674:
1667:
1414:10.1525/mts.2004.26.2.201
1248:, p.179. Eighth Edition.
209:12-Tone equal temperament
207:
200:
190:
180:
175:
167:
162:
150:
119:12-Tone equal temperament
117:
110:
100:
90:
85:
77:
69:
64:
52:
1613:Four musical minimalists
1581:Cooper (1975), p.227-28.
1478:, p.493. Third Edition.
1287:10.1093/mq/XXXVIII.3.457
1269:Piston, Walter (1952). "
315:is the stacking of six (
133:Minor thirteenth: F to D
3336:List of pitch intervals
3074:Subminor and supermajor
3013:minor diatonic semitone
2923:refer to pitch ratios.)
2259:Chord names and symbols
1590:Nichols, Roger (1989).
1542:Capone (2006), p.84-85.
1325:New Directions in Music
525:Other thirteenth chords
285:extended chord: C E G B
3134:Undecimal quarter tone
2142:Secondary leading-tone
1611:Potter, Keith (2002).
1523:Piano Chord Dictionary
1162:
1134:
689:
660:
619:
582:
534:
518:common practice period
513:
461:
406:
308:
139:
41:
3129:Septimal quarter tone
2940:septimal quarter tone
1450:Cooper, Paul (1975).
1402:Music Theory Spectrum
1275:The Musical Quarterly
1214:Capone, Phil (2006).
1144:Music in Twelve Parts
1140:
1114:
671:
639:
599:
547:
532:
500:
438:
389:
281:
132:
39:
3316:Incomposite interval
3069:Pythagorean interval
2921:(Numbers in brackets
2429:(Numbers in brackets
2147:Secondary supertonic
1572:Capone (2006), p.79.
1323:Cope, David (2000).
1299:Capone (2006), p.66.
1118:Pelléas et Mélisande
359:is usually called a
3099:Pythagorean apotome
2946:septimal third tone
382:Dominant thirteenth
335:if it includes the
283:Dominant thirteenth
147:
49:
3370:Compound intervals
3212:Septimal semicomma
2218:Chord-scale system
2137:Secondary dominant
1521:Manus, M. (1978).
1163:
1135:
690:
661:
620:
605:I Found a New Baby
583:
568:Rodgers & Hart
535:
514:
484:chord-scale system
462:
418:four-voice writing
407:
309:
145:
140:
47:
42:
3342:
3341:
3324:
3323:
3154:Pythagorean comma
3094:Pythagorean limma
3026:
3025:
3022:
3021:
2988:supermajor fourth
2964:supermajor second
2909:
2908:
2723:
2722:
2719:
2718:
2431:are the number of
2372:
2371:
2277:
2276:
2191:
2190:
2109:Chromatic mediant
2014:
2013:
1965:Viennese trichord
1271:Harmonic Practice
1254:978-0-07-310188-0
392:four-part writing
217:
216:
127:
126:
16:(Redirected from
3377:
3334:
3333:
3224:Septimal kleisma
3037:
3036:
2994:subminor seventh
2976:supermajor third
2928:
2927:
2916:Just intonations
2901:
2900:
2896:
2893:
2881:
2880:
2876:
2873:
2861:
2860:
2856:
2853:
2841:
2840:
2836:
2833:
2821:
2820:
2816:
2813:
2801:
2800:
2796:
2793:
2781:
2780:
2776:
2753:
2752:
2736:
2735:
2443:
2442:
2425:
2424:
2399:
2392:
2385:
2376:
2375:
2304:
2297:
2290:
2281:
2280:
2035:
2034:
2022:
1830:
1829:
1787:Harmonic seventh
1757:Diminished major
1672:
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1654:
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1640:
1631:
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1624:
1609:
1603:
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1564:
1549:
1543:
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1519:
1513:
1510:
1487:
1472:
1463:
1448:
1442:
1427:
1418:
1417:
1397:
1391:
1390:
1358:
1352:
1349:
1336:
1321:
1312:
1309:
1300:
1297:
1291:
1290:
1266:
1257:
1242:
1227:
1212:
1206:
1203:
1182:Ladder of thirds
1177:Harmonic planing
1161:
1160:
1159:
1157:
1133:
1132:
1131:
1129:
1106:
1105:
1104:
1102:
1092:
1083:
1082:
1081:
1079:
1058:
1049:
1048:
1047:
1045:
1035:
1026:
1025:
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1022:
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980:
979:
978:
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953:
944:
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891:
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823:
821:
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781:
780:
779:
777:
768:
759:
758:
757:
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745:
736:
735:
734:
732:
722:
686:ladder of thirds
683:
682:
681:
679:
659:
658:
657:
655:
628:
627:
618:
617:
616:
614:
581:
580:
579:
577:
559:
558:
553:
552:
539:parallel harmony
512:
511:
510:
508:
473:
472:
460:
459:
458:
456:
431:
430:
429:
427:
404:
403:
402:
400:
373:
372:
371:
369:
313:thirteenth chord
302:
301:
300:
298:
290:
289:
274:
273:
272:
270:
262:
261:
260:
258:
148:
146:minor thirteenth
144:
142:Musical interval
138:
137:
50:
48:major thirteenth
46:
44:Musical interval
21:
18:Thirteenth chord
3385:
3384:
3380:
3379:
3378:
3376:
3375:
3374:
3360:Extended chords
3345:
3344:
3343:
3338:
3320:
3282:
3249:
3192:Septimal diesis
3138:
3108:
3078:
3032:
3018:
2999:
2922:
2919:
2905:
2898:
2894:
2891:
2889:
2878:
2874:
2871:
2869:
2858:
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2849:
2838:
2834:
2831:
2829:
2818:
2814:
2811:
2809:
2798:
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2789:
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2774:
2773:
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2761:
2757:
2747:
2744:
2731:
2729:
2715:
2660:
2605:
2550:
2513:
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2437:
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2418:
2415:
2408:
2403:
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2368:
2313:
2308:
2278:
2273:
2242:
2187:
2151:
2123:
2085:
2023:
2010:
2001:Synthetic chord
1969:
1940:Northern lights
1905:Complexe sonore
1883:
1869:Augmented sixth
1857:
1855:
1845:
1827:
1826:
1820:Upper structure
1791:
1777:Altered seventh
1772:Augmented minor
1767:Augmented major
1752:Half-diminished
1708:
1663:
1658:
1628:
1627:
1610:
1606:
1589:
1585:
1580:
1576:
1571:
1567:
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1541:
1537:
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1516:
1511:
1490:
1473:
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1445:
1428:
1421:
1398:
1394:
1379:10.2307/4153058
1363:All Points West
1359:
1355:
1350:
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1322:
1315:
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1260:
1243:
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1209:
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1195:
1168:
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1123:
1107:
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1059:
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1016:
1013:
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981:
974:
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929:
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923:
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901:
892:
885:
882:
881:
879:
870:
863:
860:
859:
857:
848:
841:
838:
837:
835:
826:
819:
816:
815:
813:
804:
797:
794:
793:
791:
782:
775:
772:
771:
769:
760:
753:
750:
749:
746:
737:
730:
727:
726:
723:
707:
677:
674:
673:
666:
653:
650:
649:
625:
624:
612:
609:
608:
601:Lennie Tristano
575:
572:
571:
563:All Points West
556:
555:
550:
549:
527:
506:
503:
502:
480:Lydian dominant
470:
469:
454:
451:
450:
425:
422:
421:
398:
395:
394:
384:
367:
364:
363:
305:upper structure
296:
293:
292:
287:
286:
268:
265:
264:
256:
253:
252:
143:
135:
134:
45:
32:
23:
22:
15:
12:
11:
5:
3383:
3373:
3372:
3367:
3365:Sixths (music)
3362:
3357:
3340:
3339:
3329:
3326:
3325:
3322:
3321:
3319:
3318:
3313:
3308:
3303:
3298:
3292:
3290:
3284:
3283:
3281:
3280:
3275:
3270:
3265:
3259:
3257:
3251:
3250:
3248:
3247:
3241:
3235:
3228:
3227:
3221:
3215:
3209:
3203:
3196:
3195:
3189:
3186:Greater diesis
3183:
3176:
3175:
3172:Septimal comma
3169:
3166:Holdrian comma
3163:
3160:Syntonic comma
3157:
3150:
3148:
3140:
3139:
3137:
3136:
3131:
3126:
3120:
3118:
3110:
3109:
3107:
3106:
3101:
3096:
3090:
3088:
3080:
3079:
3077:
3076:
3071:
3066:
3061:
3056:
3051:
3045:
3043:
3034:
3028:
3027:
3024:
3023:
3020:
3019:
3017:
3016:
3009:
3007:
3001:
3000:
2998:
2997:
2991:
2985:
2982:subminor fifth
2979:
2973:
2970:subminor third
2967:
2961:
2955:
2949:
2943:
2936:
2934:
2925:
2911:
2910:
2907:
2906:
2904:
2903:
2883:
2863:
2843:
2823:
2803:
2783:
2766:
2764:
2756:
2750:
2733:
2725:
2724:
2721:
2720:
2717:
2716:
2714:
2713:
2707:
2701:
2695:
2689:
2683:
2677:
2670:
2668:
2662:
2661:
2659:
2658:
2652:
2646:
2640:
2634:
2628:
2622:
2615:
2613:
2607:
2606:
2604:
2603:
2597:
2591:
2585:
2579:
2573:
2567:
2560:
2558:
2552:
2551:
2549:
2548:
2542:
2536:
2530:
2523:
2521:
2515:
2514:
2512:
2511:
2505:
2499:
2493:
2486:
2484:
2478:
2477:
2475:
2474:
2468:
2462:
2456:
2449:
2447:
2440:
2422:
2410:
2409:
2402:
2401:
2394:
2387:
2379:
2370:
2369:
2367:
2366:
2359:
2354:
2349:
2344:
2339:
2334:
2329:
2324:
2318:
2315:
2314:
2307:
2306:
2299:
2292:
2284:
2275:
2274:
2272:
2271:
2266:
2264:List of chords
2261:
2256:
2250:
2248:
2244:
2243:
2241:
2240:
2235:
2230:
2225:
2220:
2215:
2210:
2205:
2199:
2197:
2193:
2192:
2189:
2188:
2186:
2185:
2180:
2175:
2170:
2165:
2159:
2157:
2153:
2152:
2150:
2149:
2144:
2139:
2133:
2131:
2125:
2124:
2122:
2121:
2116:
2111:
2106:
2101:
2095:
2093:
2087:
2086:
2084:
2083:
2074:
2069:
2064:
2059:
2054:
2049:
2043:
2041:
2032:
2025:
2024:
2017:
2015:
2012:
2011:
2009:
2008:
2003:
1998:
1993:
1988:
1983:
1981:Mixed interval
1977:
1975:
1971:
1970:
1968:
1967:
1962:
1957:
1952:
1947:
1942:
1937:
1932:
1927:
1922:
1917:
1912:
1907:
1902:
1897:
1891:
1889:
1885:
1884:
1882:
1881:
1876:
1871:
1866:
1860:
1858:
1850:
1847:
1846:
1844:
1843:
1838:
1833:
1822:
1817:
1812:
1807:
1801:
1799:
1793:
1792:
1790:
1789:
1784:
1779:
1774:
1769:
1764:
1759:
1754:
1749:
1744:
1739:
1734:
1729:
1724:
1718:
1716:
1710:
1709:
1707:
1706:
1701:
1696:
1691:
1686:
1680:
1678:
1669:
1665:
1664:
1657:
1656:
1649:
1642:
1634:
1626:
1625:
1604:
1583:
1574:
1565:
1544:
1535:
1514:
1488:
1464:
1443:
1419:
1392:
1367:American Music
1353:
1337:
1313:
1301:
1292:
1258:
1228:
1207:
1197:
1196:
1194:
1191:
1190:
1189:
1184:
1179:
1174:
1167:
1164:
1109:
1108:
1094:
1087:
1085:
1060:
1053:
1051:
1037:
1030:
1028:
1014:
1007:
1005:
991:
984:
982:
968:
961:
959:
946:
939:
937:
924:
917:
915:
902:
895:
893:
880:
873:
871:
858:
851:
849:
836:
829:
827:
814:
807:
805:
792:
785:
783:
770:
763:
761:
747:
740:
738:
724:
717:
706:
703:
665:
662:
646:Oscar Peterson
603:'s ending to "
526:
523:
441:Claude Debussy
383:
380:
333:extended chord
325:eleventh chord
215:
214:
211:
205:
204:
198:
197:
194:
192:Interval class
188:
187:
184:
178:
177:
173:
172:
169:
165:
164:
160:
159:
154:
141:
125:
124:
121:
115:
114:
108:
107:
104:
102:Interval class
98:
97:
94:
88:
87:
83:
82:
79:
75:
74:
73:compound sixth
71:
67:
66:
62:
61:
56:
43:
9:
6:
4:
3:
2:
3382:
3371:
3368:
3366:
3363:
3361:
3358:
3356:
3355:Chord factors
3353:
3352:
3350:
3337:
3327:
3317:
3314:
3312:
3309:
3307:
3304:
3302:
3299:
3297:
3294:
3293:
3291:
3289:
3285:
3279:
3276:
3274:
3271:
3269:
3266:
3264:
3261:
3260:
3258:
3256:
3252:
3245:
3242:
3239:
3236:
3233:
3230:
3229:
3225:
3222:
3219:
3216:
3213:
3210:
3207:
3204:
3201:
3198:
3197:
3193:
3190:
3187:
3184:
3181:
3180:Lesser diesis
3178:
3177:
3173:
3170:
3167:
3164:
3161:
3158:
3155:
3152:
3151:
3149:
3147:
3146:
3141:
3135:
3132:
3130:
3127:
3125:
3122:
3121:
3119:
3117:
3116:
3115:Quarter tones
3111:
3105:
3102:
3100:
3097:
3095:
3092:
3091:
3089:
3087:
3086:
3081:
3075:
3072:
3070:
3067:
3065:
3064:Pseudo-octave
3062:
3060:
3057:
3055:
3052:
3050:
3047:
3046:
3044:
3042:
3038:
3035:
3029:
3014:
3011:
3010:
3008:
3006:
3002:
2995:
2992:
2989:
2986:
2983:
2980:
2977:
2974:
2971:
2968:
2965:
2962:
2959:
2956:
2953:
2950:
2947:
2944:
2941:
2938:
2937:
2935:
2933:
2929:
2926:
2924:
2918:
2917:
2912:
2887:
2884:
2867:
2864:
2847:
2844:
2827:
2824:
2807:
2804:
2787:
2784:
2771:
2768:
2767:
2765:
2760:
2754:
2751:
2749:
2743:
2742:
2737:
2734:
2726:
2711:
2708:
2705:
2702:
2699:
2696:
2693:
2690:
2687:
2684:
2681:
2678:
2675:
2672:
2671:
2669:
2667:
2663:
2656:
2653:
2650:
2647:
2644:
2641:
2638:
2635:
2632:
2629:
2626:
2623:
2620:
2617:
2616:
2614:
2612:
2608:
2601:
2598:
2595:
2592:
2589:
2586:
2583:
2580:
2577:
2574:
2571:
2568:
2565:
2562:
2561:
2559:
2557:
2553:
2546:
2543:
2540:
2537:
2534:
2531:
2528:
2525:
2524:
2522:
2520:
2516:
2509:
2506:
2503:
2500:
2497:
2494:
2491:
2488:
2487:
2485:
2483:
2479:
2472:
2469:
2466:
2463:
2460:
2457:
2454:
2451:
2450:
2448:
2444:
2441:
2439:
2435:
2426:
2423:
2417:
2411:
2407:
2400:
2395:
2393:
2388:
2386:
2381:
2380:
2377:
2364:
2360:
2358:
2355:
2353:
2350:
2348:
2345:
2343:
2340:
2338:
2335:
2333:
2330:
2328:
2325:
2323:
2320:
2319:
2316:
2312:
2311:Chord factors
2305:
2300:
2298:
2293:
2291:
2286:
2285:
2282:
2270:
2267:
2265:
2262:
2260:
2257:
2255:
2252:
2251:
2249:
2245:
2239:
2236:
2234:
2231:
2229:
2226:
2224:
2221:
2219:
2216:
2214:
2211:
2209:
2206:
2204:
2201:
2200:
2198:
2194:
2184:
2181:
2179:
2176:
2174:
2173:Primary triad
2171:
2169:
2166:
2164:
2161:
2160:
2158:
2154:
2148:
2145:
2143:
2140:
2138:
2135:
2134:
2132:
2130:
2126:
2120:
2117:
2115:
2112:
2110:
2107:
2105:
2102:
2100:
2097:
2096:
2094:
2092:
2088:
2082:
2078:
2075:
2073:
2070:
2068:
2065:
2063:
2060:
2058:
2055:
2053:
2050:
2048:
2045:
2044:
2042:
2040:
2036:
2033:
2031:
2026:
2021:
2007:
2004:
2002:
1999:
1997:
1994:
1992:
1989:
1987:
1984:
1982:
1979:
1978:
1976:
1972:
1966:
1963:
1961:
1958:
1956:
1953:
1951:
1948:
1946:
1943:
1941:
1938:
1936:
1933:
1931:
1928:
1926:
1923:
1921:
1918:
1916:
1913:
1911:
1908:
1906:
1903:
1901:
1898:
1896:
1893:
1892:
1890:
1886:
1880:
1877:
1875:
1872:
1870:
1867:
1865:
1862:
1861:
1859:
1853:
1848:
1842:
1839:
1837:
1834:
1832:
1823:
1821:
1818:
1816:
1813:
1811:
1808:
1806:
1803:
1802:
1800:
1798:
1794:
1788:
1785:
1783:
1780:
1778:
1775:
1773:
1770:
1768:
1765:
1763:
1760:
1758:
1755:
1753:
1750:
1748:
1745:
1743:
1740:
1738:
1735:
1733:
1730:
1728:
1725:
1723:
1720:
1719:
1717:
1715:
1711:
1705:
1702:
1700:
1697:
1695:
1692:
1690:
1687:
1685:
1682:
1681:
1679:
1677:
1673:
1670:
1666:
1662:
1655:
1650:
1648:
1643:
1641:
1636:
1635:
1632:
1622:
1621:0-521-01501-4
1618:
1614:
1608:
1601:
1600:0-521-31446-1
1597:
1593:
1587:
1578:
1569:
1562:
1561:0-634-07389-3
1558:
1554:
1548:
1539:
1532:
1531:0-88284-154-8
1528:
1524:
1518:
1509:
1507:
1505:
1503:
1501:
1499:
1497:
1495:
1493:
1485:
1484:0-07-300056-6
1481:
1477:
1476:Tonal Harmony
1471:
1469:
1461:
1460:0-396-06752-2
1457:
1453:
1447:
1440:
1439:0-634-05828-2
1436:
1432:
1426:
1424:
1415:
1411:
1407:
1403:
1396:
1388:
1384:
1380:
1376:
1372:
1368:
1364:
1357:
1348:
1346:
1344:
1342:
1334:
1333:1-57766-108-7
1330:
1326:
1320:
1318:
1308:
1306:
1296:
1288:
1284:
1280:
1276:
1272:
1265:
1263:
1255:
1251:
1247:
1241:
1239:
1237:
1235:
1233:
1225:
1224:0-7858-2083-3
1221:
1217:
1211:
1202:
1198:
1188:
1185:
1183:
1180:
1178:
1175:
1173:
1170:
1169:
1158:
1150:
1146:
1145:
1139:
1130:
1120:
1119:
1113:
1103:
1091:
1086:
1080:
1071:
1068:
1064:
1057:
1052:
1046:
1034:
1029:
1023:
1011:
1006:
1000:
988:
983:
977:
965:
960:
954:
943:
938:
932:
921:
916:
910:
899:
894:
888:
877:
872:
866:
855:
850:
844:
833:
828:
822:
811:
806:
800:
789:
784:
778:
767:
762:
756:
744:
739:
733:
721:
716:
715:
714:
712:
702:
699:
695:
687:
680:
670:
656:
647:
643:
638:
634:
632:
615:
606:
602:
598:
594:
592:
588:
578:
569:
565:
564:
548:Alternating (
546:
542:
540:
531:
522:
519:
509:
499:
495:
493:
492:major seventh
489:
485:
481:
477:
467:
457:
448:
447:
442:
437:
433:
428:
419:
415:
412:
401:
393:
388:
379:
375:
370:
362:
358:
354:
350:
349:root position
346:
342:
338:
334:
330:
326:
322:
318:
314:
306:
299:
284:
280:
276:
271:
259:
250:
247:and also the
246:
242:
238:
237:scale degrees
234:
230:
226:
222:
212:
210:
206:
203:
199:
195:
193:
189:
185:
183:
179:
174:
170:
166:
161:
158:
155:
153:
149:
131:
122:
120:
116:
113:
109:
105:
103:
99:
95:
93:
89:
84:
80:
76:
72:
68:
63:
60:
57:
55:
51:
38:
34:
30:
19:
3287:
3254:
3240:(0.72 cents)
3234:(1.95 cents)
3214:(13.8 cents)
3208:(10.1 cents)
3202:(19.5 cents)
3194:(35.7 cents)
3188:(62.6 cents)
3182:(41.1 cents)
3174:(27.3 cents)
3168:(22.6 cents)
3162:(21.5 cents)
3156:(23.5 cents)
3143:
3124:Quarter tone
3114:
3113:
3084:
3083:
3040:
3005:Higher-limit
2920:
2914:
2826:major fourth
2770:quarter tone
2745:
2739:
2697:
2428:
2351:
2077:Leading-tone
1854: /
1841:Tone cluster
1814:
1722:Leading-tone
1612:
1607:
1591:
1586:
1577:
1568:
1552:
1547:
1538:
1522:
1517:
1475:
1451:
1446:
1430:
1405:
1401:
1395:
1370:
1366:
1362:
1356:
1324:
1295:
1278:
1274:
1270:
1245:
1215:
1210:
1201:
1187:Mystic chord
1149:Philip Glass
1142:
1116:
1070:tone cluster
1065:, seemingly
708:
697:
691:
621:
584:
561:
536:
515:
465:
463:
444:
408:
376:
312:
310:
228:
225:music theory
218:
168:Abbreviation
78:Abbreviation
33:
3273:Millioctave
3255:Measurement
3246:(0.4 cents)
3226:(7.7 cents)
3220:(8.1 cents)
3104:Major limma
2846:minor fifth
2062:Subdominant
1925:Grandmother
1782:Nondominant
1762:Minor-major
631:Lydian mode
591:subdominant
361:sixth chord
339:and/or the
157:major third
70:Other names
59:minor third
3349:Categories
3306:Semiditone
3200:Diaschisma
3015:(17-limit)
2706:(22 or 23)
2704:fourteenth
2700:(20 or 21)
2698:thirteenth
2694:(18 or 19)
2688:(17 or 18)
2682:(15 or 16)
2676:(13 or 14)
2611:Diminished
2438:interval.)
2419:(post-Bach
2352:Thirteenth
2196:Techniques
2183:Substitute
2178:Subsidiary
2114:Neapolitan
2072:Submediant
2052:Supertonic
1825:Dominant 7
1815:Thirteenth
1747:Diminished
1699:Diminished
1408:(2): 205.
1373:(3): 360.
1281:(3): 463.
1193:References
1172:Jazz chord
1115:Debussy's
711:lead sheet
664:Inversions
566:(1937) by
476:Mixolydian
229:thirteenth
3268:Centitone
3206:Semicomma
3085:Semitones
3049:Microtone
3033:intervals
2710:fifteenth
2556:Augmented
2434:semitones
2406:Intervals
2363:Bass note
2357:Fifteenth
2213:Chordioid
2129:Secondary
1945:Petrushka
1879:Seven six
1836:Polychord
1704:Suspended
1694:Augmented
1615:, p.319.
1594:, p.105.
1454:, p.228.
1063:dissonant
713:symbols:
694:inversion
263:or minor
239:from the
235:thirteen
182:Semitones
92:Semitones
3238:Breedsma
2686:eleventh
2666:Compound
2421:Western)
2416:semitone
2347:Eleventh
2254:Arpeggio
2168:Contrast
2104:Borrowed
2099:Approach
2081:Subtonic
2067:Dominant
2039:Diatonic
2030:function
1986:Secundal
1888:Specific
1828:♯
1810:Eleventh
1797:Extended
1737:Dominant
1555:, p.12.
1525:, p.21.
1433:, p.10.
1218:, p.48.
1166:See also
1067:secundal
629:A) (see
626:♯
557:♭
554:)13 and
551:♮
488:interval
471:♭
414:function
411:dominant
345:inverted
341:eleventh
288:♭
249:interval
136:♭
3244:Ragisma
3232:Schisma
3218:Kleisma
3054:5-limit
2960:(15:14)
2954:(21:20)
2948:(28:27)
2942:(36:35)
2932:7-limit
2897:⁄
2886:seventh
2877:⁄
2857:⁄
2837:⁄
2817:⁄
2797:⁄
2777:⁄
2759:Neutral
2732:systems
2692:twelfth
2649:seventh
2600:seventh
2545:seventh
2508:seventh
2446:Perfect
2414:Twelve-
2337:Seventh
2119:Passing
2091:Altered
2057:Mediant
1996:Quartal
1991:Tertian
1974:General
1960:Tristan
1955:So What
1915:Elektra
1856:omitted
1714:Seventh
1668:By form
1387:4153058
1327:, p.6.
705:Gallery
642:cadence
516:In the
449:(1894)
353:voicing
329:tertian
231:is the
152:Inverse
54:Inverse
3301:Ditone
3288:Others
3278:Savart
3145:Commas
3041:Groups
2990:(10:7)
2786:second
2730:tuning
2655:octave
2631:fourth
2619:second
2582:fourth
2570:second
2564:unison
2527:second
2490:second
2471:octave
2459:fourth
2453:unison
2436:in the
2269:Factor
2223:Guitar
2163:Common
2006:Tetrad
1950:Psalms
1935:Mystic
1920:Farben
1900:Bridge
1874:Lydian
1661:Chords
1619:
1598:
1559:
1529:
1482:
1458:
1437:
1385:
1331:
1252:
1222:
303:. The
291:D F A
213:2000.0
123:2100.0
3311:Secor
3059:Comma
3031:Other
2996:(7:4)
2984:(7:5)
2978:(9:7)
2972:(7:6)
2966:(8:7)
2866:sixth
2806:third
2728:Other
2680:tenth
2674:ninth
2643:sixth
2637:fifth
2625:third
2594:sixth
2588:fifth
2576:third
2539:sixth
2533:third
2519:Minor
2502:sixth
2496:third
2482:Major
2465:fifth
2342:Ninth
2332:Fifth
2327:Third
2247:Other
2238:Slash
2233:Power
2208:Block
2203:Barre
2156:Other
2047:Tonic
1930:Magic
1910:Dream
1895:Alpha
1864:Sixth
1852:Added
1805:Ninth
1732:Minor
1727:Major
1689:Minor
1684:Major
1676:Triad
1383:JSTOR
587:tonic
490:of a
482:(see
357:sixth
337:ninth
321:minor
317:major
245:chord
243:of a
221:music
202:Cents
112:Cents
3296:Wolf
3263:Cent
2712:(24)
2657:(11)
2602:(12)
2596:(10)
2547:(10)
2510:(11)
2473:(12)
2322:Root
2228:Open
1617:ISBN
1596:ISBN
1557:ISBN
1527:ISBN
1480:ISBN
1456:ISBN
1435:ISBN
1329:ISBN
1250:ISBN
1220:ISBN
1156:Play
1128:Play
1101:Play
1078:Play
1044:Play
1021:Play
998:Play
975:Play
952:Play
930:Play
908:Play
886:Play
864:Play
842:Play
820:Play
798:Play
776:Play
754:Play
731:Play
678:Play
654:Play
640:The
613:Play
576:Play
507:Play
455:Play
426:Play
399:Play
368:Play
297:play
269:Play
257:Play
241:root
233:note
227:, a
176:Size
163:Name
86:Size
65:Name
2651:(9)
2645:(7)
2639:(6)
2633:(4)
2627:(2)
2621:(0)
2590:(8)
2584:(6)
2578:(5)
2572:(3)
2566:(1)
2541:(8)
2535:(3)
2529:(1)
2504:(9)
2498:(4)
2492:(2)
2467:(7)
2461:(5)
2455:(0)
2028:By
1410:doi
1375:doi
1365:".
1283:doi
1147:by
698:all
589:or
478:or
443:'s
319:or
223:or
219:In
171:m13
81:M13
3351::
2890:10
2079:/
1491:^
1467:^
1422:^
1406:26
1404:.
1381:.
1371:23
1369:.
1340:^
1316:^
1304:^
1279:38
1277:.
1261:^
1231:^
1072:.
593:.
570:.
494:.
311:A
275:.
186:20
96:21
2902:)
2899:2
2895:1
2892:+
2888:(
2882:)
2879:2
2875:1
2872:+
2870:8
2868:(
2862:)
2859:2
2855:1
2852:+
2850:6
2848:(
2842:)
2839:2
2835:1
2832:+
2830:5
2828:(
2822:)
2819:2
2815:1
2812:+
2810:3
2808:(
2802:)
2799:2
2795:1
2792:+
2790:1
2788:(
2782:)
2779:2
2775:1
2772:(
2398:e
2391:t
2384:v
2365:)
2361:(
2303:e
2296:t
2289:v
1831:9
1653:e
1646:t
1639:v
1623:.
1602:.
1563:.
1533:.
1486:.
1462:.
1441:.
1416:.
1412::
1389:.
1377::
1335:.
1289:.
1285::
1256:.
1226:.
688:.
623:F
466:X
405:.
196:4
106:3
31:.
20:)
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