17:
1180:
87:
59:
24:
110:
whole tone and septimal minor third are replaced by the normal whole tone and minor third. This makes the diesis a semitone, about twice its "correct" size. The septimal diesis is
901:
1212:
171:
244:
1207:
126:; these tunings do not distinguish between the septimal whole tone and septimal minor third. It is not tempered out however by
693:
673:
799:
805:
588:
1202:
1183:
921:
860:
237:
981:
976:
787:
1163:
916:
823:
817:
403:
131:
127:
123:
115:
103:
72:
946:
811:
793:
111:
68:
1059:
496:
230:
1001:
941:
502:
478:
466:
447:
261:
167:
205:
1071:
896:
841:
835:
829:
733:
633:
606:
513:
490:
472:
417:
411:
253:
52:
763:
551:
441:
435:
423:
366:
329:
1019:
1013:
1007:
779:
306:
80:
1196:
1143:
992:
911:
906:
852:
713:
653:
539:
527:
392:
355:
312:
184:
16:
1158:
1115:
1110:
971:
617:
374:
337:
119:
76:
1120:
951:
386:
380:
349:
343:
1153:
1047:
545:
458:
1053:
557:
1085:
533:
281:
1091:
1079:
1065:
484:
429:
107:
46:
1148:
1125:
1033:
1027:
318:
300:
143:
521:
37:
15:
226:
114:
out by a number of equally tempered tuning systems, including
222:
134:(or indeed any equal temperament with at least 30 steps).
75:. It is about 35.7 cents wide, which is narrower than a
1134:
1101:
990:
960:
930:
887:
878:
851:
778:
761:
603:
586:
575:
512:
457:
402:
365:
328:
293:
275:
260:
83:. It may also be the ratio 36:35, or 48.77 cents.
238:
185:"Stichting Huygens-Fokker: List of intervals"
8:
1179:
884:
775:
600:
583:
290:
272:
245:
231:
223:
164:The Mathematical Theory of Tone Systems
155:
106:this interval is not tempered out; the
67:, which is the difference between the
7:
14:
1178:
1:
1213:7-limit tuning and intervals
800:septimal chromatic semitone
1229:
806:septimal diatonic semitone
594:(Numbers in brackets refer
208:. Microtonal-synthesis.com
1208:Superparticular intervals
1176:
596:to fractional semitones.)
589:24-tone equal temperament
206:"Wendy Carlos Beta scale"
55:with the ratio of 49:48
1184:List of pitch intervals
922:Subminor and supermajor
861:minor diatonic semitone
771:refer to pitch ratios.)
982:Undecimal quarter tone
33:
977:Septimal quarter tone
788:septimal quarter tone
162:Haluska, Jan (2003).
20:Septimal diesis on C
19:
1164:Incomposite interval
917:Pythagorean interval
769:(Numbers in brackets
277:(Numbers in brackets
187:. Huygens-fokker.org
104:12 equal temperament
98:In equal temperament
73:septimal minor third
947:Pythagorean apotome
794:septimal third tone
79:but wider than the
69:septimal whole tone
1060:Septimal semicomma
34:
1190:
1189:
1172:
1171:
1002:Pythagorean comma
942:Pythagorean limma
874:
873:
870:
869:
836:supermajor fourth
812:supermajor second
757:
756:
571:
570:
567:
566:
279:are the number of
172:978-80-88683-28-5
1220:
1182:
1181:
1072:Septimal kleisma
885:
842:subminor seventh
824:supermajor third
776:
764:Just intonations
749:
748:
744:
741:
729:
728:
724:
721:
709:
708:
704:
701:
689:
688:
684:
681:
669:
668:
664:
661:
649:
648:
644:
641:
629:
628:
624:
601:
584:
291:
273:
247:
240:
233:
224:
217:
216:
214:
213:
202:
196:
195:
193:
192:
181:
175:
160:
94:
93:
92:
90:
66:
65:
64:
62:
31:
30:
29:
27:
1228:
1227:
1223:
1222:
1221:
1219:
1218:
1217:
1193:
1192:
1191:
1186:
1168:
1130:
1097:
1040:Septimal diesis
986:
956:
926:
880:
866:
847:
770:
767:
753:
746:
742:
739:
737:
726:
722:
719:
717:
706:
702:
699:
697:
686:
682:
679:
677:
666:
662:
659:
657:
646:
642:
639:
637:
626:
622:
621:
611:
610:
609:
605:
595:
592:
579:
577:
563:
508:
453:
398:
361:
324:
285:
280:
278:
268:
266:
263:
256:
251:
221:
220:
211:
209:
204:
203:
199:
190:
188:
183:
182:
178:
161:
157:
152:
140:
100:
88:
86:
85:
84:
60:
58:
57:
56:
42:septimal diesis
25:
23:
22:
21:
12:
11:
5:
1226:
1224:
1216:
1215:
1210:
1205:
1203:Commas (music)
1195:
1194:
1188:
1187:
1177:
1174:
1173:
1170:
1169:
1167:
1166:
1161:
1156:
1151:
1146:
1140:
1138:
1132:
1131:
1129:
1128:
1123:
1118:
1113:
1107:
1105:
1099:
1098:
1096:
1095:
1089:
1083:
1076:
1075:
1069:
1063:
1057:
1051:
1044:
1043:
1037:
1034:Greater diesis
1031:
1024:
1023:
1020:Septimal comma
1017:
1014:Holdrian comma
1011:
1008:Syntonic comma
1005:
998:
996:
988:
987:
985:
984:
979:
974:
968:
966:
958:
957:
955:
954:
949:
944:
938:
936:
928:
927:
925:
924:
919:
914:
909:
904:
899:
893:
891:
882:
876:
875:
872:
871:
868:
867:
865:
864:
857:
855:
849:
848:
846:
845:
839:
833:
830:subminor fifth
827:
821:
818:subminor third
815:
809:
803:
797:
791:
784:
782:
773:
759:
758:
755:
754:
752:
751:
731:
711:
691:
671:
651:
631:
614:
612:
604:
598:
581:
573:
572:
569:
568:
565:
564:
562:
561:
555:
549:
543:
537:
531:
525:
518:
516:
510:
509:
507:
506:
500:
494:
488:
482:
476:
470:
463:
461:
455:
454:
452:
451:
445:
439:
433:
427:
421:
415:
408:
406:
400:
399:
397:
396:
390:
384:
378:
371:
369:
363:
362:
360:
359:
353:
347:
341:
334:
332:
326:
325:
323:
322:
316:
310:
304:
297:
295:
288:
270:
258:
257:
252:
250:
249:
242:
235:
227:
219:
218:
197:
176:
154:
153:
151:
148:
147:
146:
139:
136:
99:
96:
81:septimal comma
13:
10:
9:
6:
4:
3:
2:
1225:
1214:
1211:
1209:
1206:
1204:
1201:
1200:
1198:
1185:
1175:
1165:
1162:
1160:
1157:
1155:
1152:
1150:
1147:
1145:
1142:
1141:
1139:
1137:
1133:
1127:
1124:
1122:
1119:
1117:
1114:
1112:
1109:
1108:
1106:
1104:
1100:
1093:
1090:
1087:
1084:
1081:
1078:
1077:
1073:
1070:
1067:
1064:
1061:
1058:
1055:
1052:
1049:
1046:
1045:
1041:
1038:
1035:
1032:
1029:
1028:Lesser diesis
1026:
1025:
1021:
1018:
1015:
1012:
1009:
1006:
1003:
1000:
999:
997:
995:
994:
989:
983:
980:
978:
975:
973:
970:
969:
967:
965:
964:
963:Quarter tones
959:
953:
950:
948:
945:
943:
940:
939:
937:
935:
934:
929:
923:
920:
918:
915:
913:
912:Pseudo-octave
910:
908:
905:
903:
900:
898:
895:
894:
892:
890:
886:
883:
877:
862:
859:
858:
856:
854:
850:
843:
840:
837:
834:
831:
828:
825:
822:
819:
816:
813:
810:
807:
804:
801:
798:
795:
792:
789:
786:
785:
783:
781:
777:
774:
772:
766:
765:
760:
735:
732:
715:
712:
695:
692:
675:
672:
655:
652:
635:
632:
619:
616:
615:
613:
608:
602:
599:
597:
591:
590:
585:
582:
574:
559:
556:
553:
550:
547:
544:
541:
538:
535:
532:
529:
526:
523:
520:
519:
517:
515:
511:
504:
501:
498:
495:
492:
489:
486:
483:
480:
477:
474:
471:
468:
465:
464:
462:
460:
456:
449:
446:
443:
440:
437:
434:
431:
428:
425:
422:
419:
416:
413:
410:
409:
407:
405:
401:
394:
391:
388:
385:
382:
379:
376:
373:
372:
370:
368:
364:
357:
354:
351:
348:
345:
342:
339:
336:
335:
333:
331:
327:
320:
317:
314:
311:
308:
305:
302:
299:
298:
296:
292:
289:
287:
283:
274:
271:
265:
259:
255:
248:
243:
241:
236:
234:
229:
228:
225:
207:
201:
198:
186:
180:
177:
173:
169:
165:
159:
156:
149:
145:
142:
141:
137:
135:
133:
129:
125:
121:
117:
113:
109:
105:
97:
95:
91:
82:
78:
74:
70:
63:
54:
50:
48:
43:
39:
28:
18:
1135:
1102:
1088:(0.72 cents)
1082:(1.95 cents)
1062:(13.8 cents)
1056:(10.1 cents)
1050:(19.5 cents)
1042:(35.7 cents)
1039:
1036:(62.6 cents)
1030:(41.1 cents)
1022:(27.3 cents)
1016:(22.6 cents)
1010:(21.5 cents)
1004:(23.5 cents)
991:
972:Quarter tone
962:
961:
932:
931:
888:
853:Higher-limit
768:
762:
674:major fourth
618:quarter tone
593:
587:
276:
210:. Retrieved
200:
189:. Retrieved
179:
163:
158:
101:
77:quarter-tone
45:
41:
35:
1121:Millioctave
1103:Measurement
1094:(0.4 cents)
1074:(7.7 cents)
1068:(8.1 cents)
952:Major limma
694:minor fifth
1197:Categories
1154:Semiditone
1048:Diaschisma
863:(17-limit)
554:(22 or 23)
552:fourteenth
548:(20 or 21)
546:thirteenth
542:(18 or 19)
536:(17 or 18)
530:(15 or 16)
524:(13 or 14)
459:Diminished
286:interval.)
267:(post-Bach
212:2013-10-18
191:2013-10-18
150:References
1116:Centitone
1054:Semicomma
933:Semitones
897:Microtone
881:intervals
558:fifteenth
404:Augmented
282:semitones
254:Intervals
166:, p.xxv.
1086:Breedsma
534:eleventh
514:Compound
269:Western)
264:semitone
138:See also
112:tempered
108:septimal
71:and the
53:interval
51:) is an
1092:Ragisma
1080:Schisma
1066:Kleisma
902:5-limit
808:(15:14)
802:(21:20)
796:(28:27)
790:(36:35)
780:7-limit
745:⁄
734:seventh
725:⁄
705:⁄
685:⁄
665:⁄
645:⁄
625:⁄
607:Neutral
580:systems
540:twelfth
497:seventh
448:seventh
393:seventh
356:seventh
294:Perfect
262:Twelve-
47:slendro
1149:Ditone
1136:Others
1126:Savart
993:Commas
889:Groups
838:(10:7)
634:second
578:tuning
503:octave
479:fourth
467:second
430:fourth
418:second
412:unison
375:second
338:second
319:octave
307:fourth
301:unison
284:in the
170:
144:Diesis
49:diesis
1159:Secor
907:Comma
879:Other
844:(7:4)
832:(7:5)
826:(9:7)
820:(7:6)
814:(8:7)
714:sixth
654:third
576:Other
528:tenth
522:ninth
491:sixth
485:fifth
473:third
442:sixth
436:fifth
424:third
387:sixth
381:third
367:Minor
350:sixth
344:third
330:Major
313:fifth
132:31-ET
128:22-ET
124:29-ET
120:24-ET
116:19-ET
38:music
1144:Wolf
1111:Cent
560:(24)
505:(11)
450:(12)
444:(10)
395:(10)
358:(11)
321:(12)
168:ISBN
122:and
89:Play
61:play
44:(or
26:Play
499:(9)
493:(7)
487:(6)
481:(4)
475:(2)
469:(0)
438:(8)
432:(6)
426:(5)
420:(3)
414:(1)
389:(8)
383:(3)
377:(1)
352:(9)
346:(4)
340:(2)
315:(7)
309:(5)
303:(0)
130:or
102:In
36:In
1199::
738:10
118:,
40:,
750:)
747:2
743:1
740:+
736:(
730:)
727:2
723:1
720:+
718:8
716:(
710:)
707:2
703:1
700:+
698:6
696:(
690:)
687:2
683:1
680:+
678:5
676:(
670:)
667:2
663:1
660:+
658:3
656:(
650:)
647:2
643:1
640:+
638:1
636:(
630:)
627:2
623:1
620:(
246:e
239:t
232:v
215:.
194:.
174:.
32:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
