132:
1340:
179:
139:
151:
1061:
331:
404:
352:
1362:
853:
833:
959:
965:
748:
293:
253:
216:
256:
diminished sixth is observed when a fixed-pitch instrument limited to twelve notes per octave is tuned using
203:. For example, the interval from A to F is a minor sixth, eight semitones wide, and both the intervals from A
1367:
1343:
1081:
1020:
397:
1141:
231:
1136:
947:
1323:
1076:
983:
977:
563:
261:
223:
25:
1106:
971:
953:
1219:
656:
390:
257:
200:
1161:
1101:
662:
638:
626:
607:
421:
348:
327:
100:
1231:
1056:
1001:
995:
989:
893:
793:
766:
673:
632:
577:
571:
413:
281:
188:
1199:
923:
711:
601:
595:
583:
526:
489:
289:
227:
168:
164:
120:
83:
30:
1179:
1173:
1167:
939:
466:
334:. Specific example of an d6 not given but general example of minor intervals described.
301:
297:
73:
215:
are diminished sixths, spanning seven semitones. Being diminished, it is considered a
131:
1356:
1303:
1152:
1071:
1066:
1012:
873:
813:
699:
687:
552:
515:
472:
247:
235:
284:), and since it sounded like a badly out-of-tune fifth, this interval is called the
1318:
1275:
1270:
1131:
777:
534:
497:
265:
110:
93:
1280:
1111:
546:
540:
509:
503:
196:
1313:
1207:
705:
618:
285:
192:
1213:
717:
219:
interval, despite being equivalent to an interval known for its consonance.
280:. Since this interval was considered to "howl like a wolf" (because of the
1245:
693:
441:
63:
1251:
1239:
1225:
644:
589:
1308:
1285:
1193:
1187:
478:
460:
681:
130:
386:
382:
147:. In 12-TET, the interval is identical to a perfect fifth
368:, p.89-90. Thurgate & Sons. Digitized Aug 16, 2007.
1294:
1261:
1150:
1120:
1090:
1047:
1038:
1011:
938:
921:
763:
746:
735:
672:
617:
562:
525:
488:
453:
435:
420:
119:
109:
99:
92:
82:
72:
62:
57:
49:
41:
36:
24:
398:
8:
19:
268:. Typically, this is the interval between G
1339:
1044:
935:
760:
743:
450:
432:
405:
391:
383:
318:
316:
345:The Mathematical Theory of Tone Systems
312:
18:
324:Music: In Theory and Practice, Vol. I
7:
14:
377:Benward & Saker (2003), p.92.
1338:
366:Music: Its Theory & Practice
264:with a fifth flatter than 700
1:
322:Benward & Saker (2003).
960:septimal chromatic semitone
355:. Classic diminished sixth.
1384:
966:septimal diatonic semitone
754:(Numbers in brackets refer
245:
1336:
756:to fractional semitones.)
749:24-tone equal temperament
111:24-Tone equal temperament
101:12-Tone equal temperament
292:tuned fifth is the most
135:Diminished sixth (just)
1344:List of pitch intervals
1082:Subminor and supermajor
1021:minor diatonic semitone
931:refer to pitch ratios.)
364:Hoffmann, F.A. (1881).
1142:Undecimal quarter tone
160:
1137:Septimal quarter tone
948:septimal quarter tone
343:Haluska, Jan (2003).
232:enharmonic equivalent
209:to F, and from A to F
134:
1363:Diminished intervals
1324:Incomposite interval
1077:Pythagorean interval
929:(Numbers in brackets
437:(Numbers in brackets
262:meantone temperament
88:192:125, 32:21,49:32
1107:Pythagorean apotome
954:septimal third tone
296:interval after the
21:
1220:Septimal semicomma
258:Pythagorean tuning
201:chromatic semitone
161:
1350:
1349:
1332:
1331:
1162:Pythagorean comma
1102:Pythagorean limma
1034:
1033:
1030:
1029:
996:supermajor fourth
972:supermajor second
917:
916:
731:
730:
727:
726:
439:are the number of
332:978-0-07-294262-0
129:
128:
1375:
1342:
1341:
1232:Septimal kleisma
1045:
1002:subminor seventh
984:supermajor third
936:
924:Just intonations
909:
908:
904:
901:
889:
888:
884:
881:
869:
868:
864:
861:
849:
848:
844:
841:
829:
828:
824:
821:
809:
808:
804:
801:
789:
788:
784:
761:
744:
451:
433:
407:
400:
393:
384:
378:
375:
369:
362:
356:
341:
335:
320:
288:. Notice that a
279:
278:
273:
272:
214:
213:
208:
207:
186:
185:
184:
182:
173:diminished sixth
158:
157:
156:
154:
146:
145:
144:
142:
22:
20:Diminished sixth
16:Musical interval
1383:
1382:
1378:
1377:
1376:
1374:
1373:
1372:
1353:
1352:
1351:
1346:
1328:
1290:
1257:
1200:Septimal diesis
1146:
1116:
1086:
1040:
1026:
1007:
930:
927:
913:
906:
902:
899:
897:
886:
882:
879:
877:
866:
862:
859:
857:
846:
842:
839:
837:
826:
822:
819:
817:
806:
802:
799:
797:
786:
782:
781:
771:
770:
769:
765:
755:
752:
739:
737:
723:
668:
613:
558:
521:
484:
445:
440:
438:
428:
426:
423:
416:
411:
381:
376:
372:
363:
359:
342:
338:
321:
314:
310:
276:
275:
270:
269:
250:
244:
228:augmented third
211:
210:
205:
204:
180:
178:
177:
176:
169:Western culture
165:classical music
152:
150:
149:
148:
140:
138:
137:
136:
121:Just intonation
31:augmented third
17:
12:
11:
5:
1381:
1379:
1371:
1370:
1368:Sixths (music)
1365:
1355:
1354:
1348:
1347:
1337:
1334:
1333:
1330:
1329:
1327:
1326:
1321:
1316:
1311:
1306:
1300:
1298:
1292:
1291:
1289:
1288:
1283:
1278:
1273:
1267:
1265:
1259:
1258:
1256:
1255:
1249:
1243:
1236:
1235:
1229:
1223:
1217:
1211:
1204:
1203:
1197:
1194:Greater diesis
1191:
1184:
1183:
1180:Septimal comma
1177:
1174:Holdrian comma
1171:
1168:Syntonic comma
1165:
1158:
1156:
1148:
1147:
1145:
1144:
1139:
1134:
1128:
1126:
1118:
1117:
1115:
1114:
1109:
1104:
1098:
1096:
1088:
1087:
1085:
1084:
1079:
1074:
1069:
1064:
1059:
1053:
1051:
1042:
1036:
1035:
1032:
1031:
1028:
1027:
1025:
1024:
1017:
1015:
1009:
1008:
1006:
1005:
999:
993:
990:subminor fifth
987:
981:
978:subminor third
975:
969:
963:
957:
951:
944:
942:
933:
919:
918:
915:
914:
912:
911:
891:
871:
851:
831:
811:
791:
774:
772:
764:
758:
741:
733:
732:
729:
728:
725:
724:
722:
721:
715:
709:
703:
697:
691:
685:
678:
676:
670:
669:
667:
666:
660:
654:
648:
642:
636:
630:
623:
621:
615:
614:
612:
611:
605:
599:
593:
587:
581:
575:
568:
566:
560:
559:
557:
556:
550:
544:
538:
531:
529:
523:
522:
520:
519:
513:
507:
501:
494:
492:
486:
485:
483:
482:
476:
470:
464:
457:
455:
448:
430:
418:
417:
412:
410:
409:
402:
395:
387:
380:
379:
370:
357:
336:
311:
309:
306:
302:perfect octave
298:perfect unison
246:Main article:
243:
240:
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:
13:
10:
9:
6:
4:
3:
2:
1380:
1369:
1366:
1364:
1361:
1360:
1358:
1345:
1335:
1325:
1322:
1320:
1317:
1315:
1312:
1310:
1307:
1305:
1302:
1301:
1299:
1297:
1293:
1287:
1284:
1282:
1279:
1277:
1274:
1272:
1269:
1268:
1266:
1264:
1260:
1253:
1250:
1247:
1244:
1241:
1238:
1237:
1233:
1230:
1227:
1224:
1221:
1218:
1215:
1212:
1209:
1206:
1205:
1201:
1198:
1195:
1192:
1189:
1188:Lesser diesis
1186:
1185:
1181:
1178:
1175:
1172:
1169:
1166:
1163:
1160:
1159:
1157:
1155:
1154:
1149:
1143:
1140:
1138:
1135:
1133:
1130:
1129:
1127:
1125:
1124:
1123:Quarter tones
1119:
1113:
1110:
1108:
1105:
1103:
1100:
1099:
1097:
1095:
1094:
1089:
1083:
1080:
1078:
1075:
1073:
1072:Pseudo-octave
1070:
1068:
1065:
1063:
1060:
1058:
1055:
1054:
1052:
1050:
1046:
1043:
1037:
1022:
1019:
1018:
1016:
1014:
1010:
1003:
1000:
997:
994:
991:
988:
985:
982:
979:
976:
973:
970:
967:
964:
961:
958:
955:
952:
949:
946:
945:
943:
941:
937:
934:
932:
926:
925:
920:
895:
892:
875:
872:
855:
852:
835:
832:
815:
812:
795:
792:
779:
776:
775:
773:
768:
762:
759:
757:
751:
750:
745:
742:
734:
719:
716:
713:
710:
707:
704:
701:
698:
695:
692:
689:
686:
683:
680:
679:
677:
675:
671:
664:
661:
658:
655:
652:
649:
646:
643:
640:
637:
634:
631:
628:
625:
624:
622:
620:
616:
609:
606:
603:
600:
597:
594:
591:
588:
585:
582:
579:
576:
573:
570:
569:
567:
565:
561:
554:
551:
548:
545:
542:
539:
536:
533:
532:
530:
528:
524:
517:
514:
511:
508:
505:
502:
499:
496:
495:
493:
491:
487:
480:
477:
474:
471:
468:
465:
462:
459:
458:
456:
452:
449:
447:
443:
434:
431:
425:
419:
415:
408:
403:
401:
396:
394:
389:
388:
385:
374:
371:
367:
361:
358:
354:
353:0-8247-4714-3
350:
346:
340:
337:
333:
329:
325:
319:
317:
313:
307:
305:
303:
299:
295:
291:
287:
283:
267:
263:
259:
255:
249:
248:Wolf interval
241:
239:
237:
236:perfect fifth
233:
229:
225:
220:
218:
202:
198:
194:
190:
183:
174:
170:
166:
155:
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:
1295:
1262:
1248:(0.72 cents)
1242:(1.95 cents)
1222:(13.8 cents)
1216:(10.1 cents)
1210:(19.5 cents)
1202:(35.7 cents)
1196:(62.6 cents)
1190:(41.1 cents)
1182:(27.3 cents)
1176:(22.6 cents)
1170:(21.5 cents)
1164:(23.5 cents)
1151:
1132:Quarter tone
1122:
1121:
1092:
1091:
1048:
1013:Higher-limit
928:
922:
834:major fourth
778:quarter tone
753:
747:
650:
436:
373:
365:
360:
344:
339:
323:
286:"wolf" fifth
251:
242:"Wolf fifth"
221:
191:produced by
172:
162:
50:Abbreviation
1281:Millioctave
1263:Measurement
1254:(0.4 cents)
1234:(7.7 cents)
1228:(8.1 cents)
1112:Major limma
854:minor fifth
252:A severely
197:minor sixth
42:Other names
1357:Categories
1314:Semiditone
1208:Diaschisma
1023:(17-limit)
714:(22 or 23)
712:fourteenth
708:(20 or 21)
706:thirteenth
702:(18 or 19)
696:(17 or 18)
690:(15 or 16)
684:(13 or 14)
619:Diminished
446:interval.)
427:(post-Bach
347:, p.xxvi.
308:References
230:, and its
1276:Centitone
1214:Semicomma
1093:Semitones
1057:Microtone
1041:intervals
718:fifteenth
564:Augmented
442:semitones
414:Intervals
294:consonant
254:dissonant
224:inversion
217:dissonant
193:narrowing
64:Semitones
1246:Breedsma
694:eleventh
674:Compound
429:Western)
424:semitone
326:, p.54.
300:and the
277:♭
271:♯
212:♭
206:♯
189:interval
187:) is an
1252:Ragisma
1240:Schisma
1226:Kleisma
1062:5-limit
968:(15:14)
962:(21:20)
956:(28:27)
950:(36:35)
940:7-limit
905:⁄
894:seventh
885:⁄
865:⁄
845:⁄
825:⁄
805:⁄
785:⁄
767:Neutral
740:systems
700:twelfth
657:seventh
608:seventh
553:seventh
516:seventh
454:Perfect
422:Twelve-
282:beating
234:is the
226:is the
26:Inverse
1309:Ditone
1296:Others
1286:Savart
1153:Commas
1049:Groups
998:(10:7)
794:second
738:tuning
663:octave
639:fourth
627:second
590:fourth
578:second
572:unison
535:second
498:second
479:octave
467:fourth
461:unison
444:in the
351:
330:
290:justly
1319:Secor
1067:Comma
1039:Other
1004:(7:4)
992:(7:5)
986:(9:7)
980:(7:6)
974:(8:7)
874:sixth
814:third
736:Other
688:tenth
682:ninth
651:sixth
645:fifth
633:third
602:sixth
596:fifth
584:third
547:sixth
541:third
527:Minor
510:sixth
504:third
490:Major
473:fifth
274:and E
266:cents
260:or a
199:by a
167:from
94:Cents
1304:Wolf
1271:Cent
720:(24)
665:(11)
610:(12)
604:(10)
555:(10)
518:(11)
481:(12)
349:ISBN
328:ISBN
222:Its
181:Play
171:, a
153:Play
141:Play
58:Size
37:Name
659:(9)
653:(7)
647:(6)
641:(4)
635:(2)
629:(0)
598:(8)
592:(6)
586:(5)
580:(3)
574:(1)
549:(8)
543:(3)
537:(1)
512:(9)
506:(4)
500:(2)
475:(7)
469:(5)
463:(0)
163:In
125:743
115:700
105:700
1359::
898:10
315:^
304:.
238:.
195:a
53:d6
910:)
907:2
903:1
900:+
896:(
890:)
887:2
883:1
880:+
878:8
876:(
870:)
867:2
863:1
860:+
858:6
856:(
850:)
847:2
843:1
840:+
838:5
836:(
830:)
827:2
823:1
820:+
818:3
816:(
810:)
807:2
803:1
800:+
798:1
796:(
790:)
787:2
783:1
780:(
406:e
399:t
392:v
175:(
159:.
78:5
68:7
45:-
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