119:
1270:
28:
1248:
40:
41:
120:
38:
39:
109:
The 10:7 interval (augmented fourth) is equal to a 5:4 major third plus an 8:7 supermajor second, or a 9:7 supermajor third plus a 10:9 major second.
969:
1311:
264:
1345:
17:
312:
471:
235:
1304:
249:
761:
741:
1350:
867:
1335:
1330:
1297:
873:
581:
434:
397:
656:
208:
154:
176:
systems), a greater septimal tritone (when the tempered fifth is around 703 cents), neither (as in
1251:
989:
928:
305:
203:
1049:
526:
343:
1269:
1044:
855:
106:
The 7:5 interval (diminished fifth) is equal to a 6:5 minor third plus a 7:6 subminor third.
1231:
984:
891:
885:
181:
177:
147:
143:
139:
135:
131:
57:
1285:
172:, defined as three whole tones, may be identified as either a lesser septimal tritone (in
8:
1014:
879:
861:
113:
1127:
564:
298:
278:
226:
66:
1183:
1340:
1069:
1009:
570:
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515:
329:
231:
173:
56:(about one half of an octave) that involves the factor seven. There are two that are
1139:
964:
909:
801:
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558:
540:
485:
479:
321:
169:
162:
158:
72:
1226:
1107:
831:
619:
509:
503:
491:
1281:
1087:
1081:
1075:
847:
374:
27:
1324:
1211:
1060:
979:
974:
920:
781:
721:
607:
595:
460:
423:
380:
199:
87:), is an interval with ratio 10:7 (617.49 cents). They are also known as the
1277:
1178:
1039:
685:
442:
405:
221:
76:
1188:
1019:
454:
448:
417:
411:
1221:
1115:
613:
206:'s Extended Just Intonation – A Guide for Interpreters", pp. 121–122,
1121:
625:
247:
Society of Arts (Great
Britain) (1877, digitized November 19, 2009).
1153:
601:
349:
262:
Royal
Society (Great Britain) (1880, digitized February 26, 2008).
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497:
53:
32:
1216:
1193:
1101:
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290:
142:
does distinguish them but doesn't match them closely.
150:both distinguish between and closely match them.
1322:
1305:
306:
212:, vol. 29, no. 2 (Summer 1991), pp. 106–137.
138:do not distinguish between these tritones;
1312:
1298:
1247:
313:
299:
265:Proceedings of the Royal Society of London
153:The lesser septimal tritone is the most
112:The difference between these two is the
26:
193:
14:
1323:
671:
268:, vol. 30, p. 531. Harvard University.
294:
1264:
168:Depending on the temperament used,
24:
25:
1362:
1268:
1246:
279:An unorthodox look at consonance
36:
271:
256:
250:Journal of the Society of Arts
241:
215:
13:
1:
320:
187:
1346:7-limit tuning and intervals
1284:. You can help Knowledge by
7:
868:septimal chromatic semitone
10:
1367:
1263:
874:septimal diatonic semitone
662:(Numbers in brackets refer
1244:
1202:
1169:
1058:
1028:
998:
955:
946:
919:
846:
829:
664:to fractional semitones.)
657:24-tone equal temperament
654:
643:
580:
525:
470:
433:
396:
361:
328:
209:Perspectives of New Music
157:tritone when measured by
81:greater septimal tritone
1252:List of pitch intervals
990:Subminor and supermajor
929:minor diatonic semitone
839:refer to pitch ratios.)
75:with ratio 7:5 (582.51
62:lesser septimal tritone
1050:Undecimal quarter tone
283:The Bohlen-Pierce Site
45:
1045:Septimal quarter tone
856:septimal quarter tone
165:, and period length.
116:(50:49, 34.98 cents)
30:
18:Huygens' tritone
1232:Incomposite interval
985:Pythagorean interval
837:(Numbers in brackets
345:(Numbers in brackets
182:12 equal temperament
178:72 equal temperament
148:41 equal temperament
144:31 equal temperament
140:19 equal temperament
136:22 equal temperament
132:12 equal temperament
1015:Pythagorean apotome
862:septimal third tone
114:septimal sixth tone
1351:Music theory stubs
1128:Septimal semicomma
253:, vol. 25, p. 670.
227:Genesis of a Music
46:
1336:Diminished fifths
1331:Augmented fourths
1293:
1292:
1258:
1257:
1240:
1239:
1070:Pythagorean comma
1010:Pythagorean limma
942:
941:
938:
937:
904:supermajor fourth
880:supermajor second
825:
824:
639:
638:
635:
634:
347:are the number of
174:septimal meantone
159:combination tones
101:supermajor fourth
42:
16:(Redirected from
1358:
1314:
1307:
1300:
1272:
1265:
1250:
1249:
1140:Septimal kleisma
953:
952:
910:subminor seventh
892:supermajor third
844:
843:
832:Just intonations
817:
816:
812:
809:
797:
796:
792:
789:
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245:
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197:
163:harmonic entropy
127:
126:
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103:, respectively.
73:musical interval
50:septimal tritone
44:
43:
21:
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1321:
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1108:Septimal diesis
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200:Fonville, John.
198:
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190:
180:), or both (in
121:
118:
117:
85:Euler's tritone
37:
23:
22:
15:
12:
11:
5:
1364:
1354:
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1131:
1125:
1119:
1112:
1111:
1105:
1102:Greater diesis
1099:
1092:
1091:
1088:Septimal comma
1085:
1082:Holdrian comma
1079:
1076:Syntonic comma
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1066:
1064:
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936:
935:
933:
932:
925:
923:
917:
916:
914:
913:
907:
901:
898:subminor fifth
895:
889:
886:subminor third
883:
877:
871:
865:
859:
852:
850:
841:
827:
826:
823:
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820:
819:
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719:
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672:
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365:
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318:
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295:
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270:
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97:subminor fifth
9:
6:
4:
3:
2:
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1280:article is a
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1123:
1120:
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1103:
1100:
1097:
1096:Lesser diesis
1094:
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1041:
1038:
1037:
1035:
1033:
1032:
1031:Quarter tones
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1021:
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1013:
1011:
1008:
1007:
1005:
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1002:
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991:
988:
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983:
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980:Pseudo-octave
978:
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237:
236:0-306-80106-X
233:
229:
228:
223:
222:Partch, Harry
218:
211:
210:
205:
201:
196:
192:
185:
183:
179:
175:
171:
170:"the" tritone
166:
164:
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156:
151:
149:
145:
141:
137:
133:
129:
124:
115:
110:
107:
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90:
86:
82:
78:
74:
70:
68:
63:
59:
55:
51:
34:
29:
19:
1286:expanding it
1278:music theory
1275:
1260:
1203:
1170:
1156:(0.72 cents)
1150:(1.95 cents)
1130:(13.8 cents)
1124:(10.1 cents)
1118:(19.5 cents)
1110:(35.7 cents)
1104:(62.6 cents)
1098:(41.1 cents)
1090:(27.3 cents)
1084:(22.6 cents)
1078:(21.5 cents)
1072:(23.5 cents)
1059:
1040:Quarter tone
1030:
1029:
1000:
999:
956:
921:Higher-limit
903:
897:
836:
830:
742:major fourth
686:quarter tone
661:
655:
344:
282:
273:
263:
258:
248:
243:
225:
217:
207:
204:Ben Johnston
195:
167:
152:
130:
111:
108:
105:
100:
96:
93:super-fourth
92:
88:
84:
80:
65:
61:
49:
47:
35:tritone on C
1189:Millioctave
1171:Measurement
1162:(0.4 cents)
1142:(7.7 cents)
1136:(8.1 cents)
1020:Major limma
762:minor fifth
1325:Categories
1222:Semiditone
1116:Diaschisma
931:(17-limit)
622:(22 or 23)
620:fourteenth
616:(20 or 21)
614:thirteenth
610:(18 or 19)
604:(17 or 18)
598:(15 or 16)
592:(13 or 14)
527:Diminished
354:interval.)
335:(post-Bach
188:References
1184:Centitone
1122:Semicomma
1001:Semitones
965:Microtone
949:intervals
626:fifteenth
472:Augmented
350:semitones
322:Intervals
230:, p. 68.
155:consonant
89:sub-fifth
71:) is the
1341:Tritones
1154:Breedsma
602:eleventh
582:Compound
337:Western)
332:semitone
224:(1979).
67:Huygens'
58:inverses
33:septimal
1160:Ragisma
1148:Schisma
1134:Kleisma
970:5-limit
876:(15:14)
870:(21:20)
864:(28:27)
858:(36:35)
848:7-limit
813:⁄
802:seventh
793:⁄
773:⁄
753:⁄
733:⁄
713:⁄
693:⁄
675:Neutral
648:systems
608:twelfth
565:seventh
516:seventh
461:seventh
424:seventh
362:Perfect
330:Twelve-
184:only).
79:). The
69:tritone
54:tritone
31:Lesser
1217:Ditone
1204:Others
1194:Savart
1061:Commas
957:Groups
906:(10:7)
702:second
646:tuning
571:octave
547:fourth
535:second
498:fourth
486:second
480:unison
443:second
406:second
387:octave
375:fourth
369:unison
352:in the
234:
83:(also
64:(also
60:. The
1276:This
1227:Secor
975:Comma
947:Other
912:(7:4)
900:(7:5)
894:(9:7)
888:(7:6)
882:(8:7)
782:sixth
722:third
644:Other
596:tenth
590:ninth
559:sixth
553:fifth
541:third
510:sixth
504:fifth
492:third
455:sixth
449:third
435:Minor
418:sixth
412:third
398:Major
381:fifth
95:, or
77:cents
52:is a
1282:stub
1212:Wolf
1179:Cent
628:(24)
573:(11)
518:(12)
512:(10)
463:(10)
426:(11)
389:(12)
232:ISBN
146:and
134:and
122:Play
99:and
91:and
567:(9)
561:(7)
555:(6)
549:(4)
543:(2)
537:(0)
506:(8)
500:(6)
494:(5)
488:(3)
482:(1)
457:(8)
451:(3)
445:(1)
420:(9)
414:(4)
408:(2)
383:(7)
377:(5)
371:(0)
281:",
1327::
806:10
161:,
128:.
48:A
1313:e
1306:t
1299:v
1288:.
818:)
815:2
811:1
808:+
804:(
798:)
795:2
791:1
788:+
786:8
784:(
778:)
775:2
771:1
768:+
766:6
764:(
758:)
755:2
751:1
748:+
746:5
744:(
738:)
735:2
731:1
728:+
726:3
724:(
718:)
715:2
711:1
708:+
706:1
704:(
698:)
695:2
691:1
688:(
314:e
307:t
300:v
285:.
277:"
238:.
202:"
20:)
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