572:
405:
191:
201:
169:
1780:
135:
516:
506:
204:
203:
208:
207:
202:
209:
422:, the result is a ratio of 19:16 or 297.51 cents (the nineteenth harmonic). The 12-TET minor third (300 cents) more closely approximates the nineteenth harmonic with only 2.49 cents error. M. Ergo mistakenly claimed that the nineteenth harmonic was the highest ever written, for the bass-trumpet in
206:
524:
573:
155:
406:
182:
143:
525:
156:
153:
205:
181:
144:
300:
The minor third is commonly used to express sadness in music, and research shows that this mirrors its use in speech, as a tone similar to a minor third is produced during sad speech. It is also a
141:
263:
spans an additional semitone. For example, the interval from A to C is a minor third, as the note C lies three semitones above A. Coincidentally, there are three staff positions from A to C.
180:
522:
523:
710:. "The minor third, however, does not appear in the harmonic series until the nineteenth harmonic. Your ear almost expects to hear the major third ( C
154:
183:
418:" produced by such scales is often within ten cents of a pure 6:5 ratio. If a minor third is tuned in accordance with the fundamental of the
142:
1501:
808:
716:), and when that is replaced with a more distantly related note, this makes the listener feel more 'unpleasant', 'tense', or 'sad'."
765:
271:
span the same number of staff positions, but consist of a different number of semitones (two and five). The minor third is a
662:
Curtis, M. E.; Bharucha, J. J. (June 2010). "The minor third communicates sadness in speech, mirroring its use in music".
844:
1003:
749:
741:
707:
649:
111:
17:
736:, p. 455. Dover Publications, New York, 1954. "16:19...The 19th harmonic, ex. 297.513 ". Later reprintings:
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301:
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1113:
616:
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790:
455:
1802:
562:
1807:
1783:
1521:
1460:
837:
785:
599:
489:( C ) a minor third higher than the written pitch; therefore, to get the sounding pitch one must
428:
329:
294:
290:
382:, a ratio of 2:1 (about 1.189), or 300 cents, 15.64 cents narrower than the 6:5 ratio. In other
1581:
1058:
391:
875:
1576:
1387:
729:
490:
1763:
1516:
1423:
1417:
725:
621:
448:
395:
387:
383:
214:
36:
252:
8:
1546:
1411:
1393:
478:
444:(four octaves and major third above the fundamental) in the first horn part three times.
317:
1659:
1096:
830:
555:
441:
399:
1715:
1601:
1541:
1102:
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809:
A manual of harmony for use in music-schools and seminaries and for self-instruction
1671:
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321:
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1023:
588:
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367:
325:
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121:
94:
1619:
1613:
1607:
1379:
906:
813:
761:
611:
595:
471:
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375:
305:
248:
244:
84:
451:
with ratio 7:6 and the tridecimal minor third with ratio 13:11 in particular.
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1743:
1592:
1511:
1506:
1452:
1313:
1253:
1139:
1127:
992:
955:
912:
781:
591:
486:
467:
360:
348:
340:
283:
278:
Notable examples of ascending minor thirds include the opening two notes of "
190:
355:
too take their name from the presence of this interval built on the chord's
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1571:
1217:
974:
937:
685:
551:
535:
371:
356:
279:
272:
224:
104:
734:
On the
Sensations of Tone as a Physiological Basis for the Theory of Music
309:
1720:
1551:
986:
949:
943:
566:
493:
the written pitch up a minor third. Instruments in A – most commonly the
352:
336:
313:
260:
255:). The minor third is one of two commonly occurring thirds. It is called
41:
293:
as the interval between the fifth and sixth harmonics, or from the 19th
1753:
1647:
1145:
803:
494:
1653:
1157:
677:
236:
168:
390:
it is very nearly the 6:5 ratio of just intonation; in more complex
1685:
1133:
881:
379:
240:
134:
74:
515:
316:
quintality. The minor third is also obtainable in reference to a
1691:
1679:
1665:
1084:
1029:
788:'s Extended Just Intonation – A Guide for Interpreters", p. 124,
559:
344:
339:
is so named because of the presence of this interval between its
458:
and is considered one of the most consonant intervals after the
398:, the "minor third" is often significantly flat (being close to
1748:
1725:
1633:
1627:
918:
900:
584:
463:
459:
1121:
505:
822:
700:
Audio
Production Tips: Getting the Sound Right at the Source
661:
194:
Comparison, in cents, of intervals at or near a minor third
509:
Semiditone as two octaves minus three justly tuned fifths
324:, while the major third is obtainable as such from the
594:. It is narrower than a justly tuned minor third by a
497:, sound a minor third lower than the written pitch.
558:. The 32:27 Pythagorean minor third arises in the
247:represents the minor third as encompassing three
1794:
447:Other pitch ratios are given related names, the
370:, corresponds to a pitch ratio of 6:5 or 315.64
440:for 4 Horns and Orchestra (1849) features the
838:
794:, vol. 29, no. 2 (Summer 1991), pp. 106-137.
363:from the root is also present or implied).
1779:
845:
831:
565:between the 2nd and 4th degrees (in the C
500:
259:because it is the smaller of the two: the
514:
504:
378:tuning, a minor third is equal to three
289:The minor third may be derived from the
199:
189:
167:
151:
139:
133:
642:The Mathematical Theory of Tone Systems
304:(based on an ascendance of one or more
14:
1795:
1203:
826:
766:In the Forecourts of Instrumentation"
652:. 19th harmonic, overtone minor tone.
217:introducing a cycle of minor thirds
24:
25:
1819:
454:The minor third is classed as an
359:(provided that the interval of a
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520:
178:
797:
775:
755:
719:
692:
655:
634:
13:
1:
852:
627:
583:It can be thought of as two
554:). It is the minor third in
550:32:27 (approximately 294.13
386:tunings it is wider, and in
312:interval, as opposed to the
7:
1400:septimal chromatic semitone
605:
10:
1824:
1406:septimal diatonic semitone
1194:(Numbers in brackets refer
770:The Monthly Musical Record
617:List of meantone intervals
1776:
1734:
1701:
1590:
1560:
1530:
1487:
1478:
1451:
1378:
1361:
1196:to fractional semitones.)
1189:24-tone equal temperament
1186:
1175:
1112:
1057:
1002:
965:
928:
893:
860:
791:Perspectives of New Music
120:
112:12-Tone equal temperament
110:
103:
93:
83:
73:
68:
60:
52:
47:
35:
563:justly tuned major scale
172:19th harmonic (19:16), E
1784:List of pitch intervals
1522:Subminor and supermajor
1461:minor diatonic semitone
1371:refer to pitch ratios.)
698:Dowsett, Peter (2015).
600:Pythagorean major sixth
544:Pythagorean minor third
519:Semiditone (32:27) on C
501:Pythagorean minor third
429:Der Ring des Nibelungen
392:schismatic temperaments
330:Otonality and Utonality
235:that encompasses three
1582:Undecimal quarter tone
529:
510:
218:
213:Jazz and rock bassist
195:
187:
163:
161:
149:
1577:Septimal quarter tone
1388:septimal quarter tone
816:, trans. G. Schirmer.
764:(December 1, 1908). "
640:Haluska, Jan (2003).
598:. Its inversion is a
518:
508:
432:(1848 to 1874), when
212:
193:
171:
159:
147:
137:
1764:Incomposite interval
1517:Pythagorean interval
1369:(Numbers in brackets
877:(Numbers in brackets
622:Pythagorean interval
569:, between D and F).
456:imperfect consonance
449:septimal minor third
396:53 equal temperament
388:19 equal temperament
215:Joseph Patrick Moore
1547:Pythagorean apotome
1394:septimal third tone
479:sopranino saxophone
32:
1660:Septimal semicomma
726:Alexander J. Ellis
556:Pythagorean tuning
530:
511:
442:twentieth harmonic
414:)), although the "
400:Pythagorean tuning
366:A minor third, in
219:
196:
188:
164:
162:
150:
30:
1790:
1789:
1772:
1771:
1602:Pythagorean comma
1542:Pythagorean limma
1474:
1473:
1470:
1469:
1436:supermajor fourth
1412:supermajor second
1357:
1356:
1171:
1170:
1167:
1166:
879:are the number of
730:Hermann Helmholtz
702:, p. 3.6.3. CRC.
526:
210:
184:
157:
145:
130:
129:
99:6:5, 19:16, 32:27
16:(Redirected from
1815:
1782:
1781:
1672:Septimal kleisma
1485:
1484:
1442:subminor seventh
1424:supermajor third
1376:
1375:
1364:Just intonations
1349:
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689:
678:10.1037/a0017928
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638:
580:
579:
578:
576:
528:
527:
416:augmented second
413:
412:
411:
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322:undertone series
318:fundamental note
269:augmented thirds
233:musical interval
211:
186:
185:
177:
176:
158:
146:
33:
29:
27:Musical interval
21:
18:Just minor third
1823:
1822:
1818:
1817:
1816:
1814:
1813:
1812:
1803:Minor intervals
1793:
1792:
1791:
1786:
1768:
1730:
1697:
1640:Septimal diesis
1586:
1556:
1526:
1480:
1466:
1447:
1370:
1367:
1353:
1346:
1342:
1339:
1337:
1326:
1322:
1319:
1317:
1306:
1302:
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1282:
1279:
1277:
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1257:
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1226:
1222:
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1209:
1205:
1195:
1192:
1179:
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1163:
1108:
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880:
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868:
866:
863:
856:
851:
821:
820:
802:
798:
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776:
762:Prout, Ebenezer
760:
756:
724:
720:
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697:
693:
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656:
639:
635:
630:
608:
574:
571:
570:
532:
531:
521:
503:
434:Robert Schumann
420:overtone series
407:
404:
403:
368:just intonation
326:overtone series
306:perfect fourths
291:harmonic series
253:interval number
249:staff positions
221:
220:
200:
179:
174:
173:
166:
165:
152:
140:
122:Just intonation
28:
23:
22:
15:
12:
11:
5:
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1808:Thirds (music)
1805:
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1689:
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1676:
1675:
1669:
1663:
1657:
1651:
1644:
1643:
1637:
1634:Greater diesis
1631:
1624:
1623:
1620:Septimal comma
1617:
1614:Holdrian comma
1611:
1608:Syntonic comma
1605:
1598:
1596:
1588:
1587:
1585:
1584:
1579:
1574:
1568:
1566:
1558:
1557:
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1554:
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1536:
1528:
1527:
1525:
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1504:
1499:
1493:
1491:
1482:
1476:
1475:
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1471:
1468:
1467:
1465:
1464:
1457:
1455:
1449:
1448:
1446:
1445:
1439:
1433:
1430:subminor fifth
1427:
1421:
1418:subminor third
1415:
1409:
1403:
1397:
1391:
1384:
1382:
1373:
1359:
1358:
1355:
1354:
1352:
1351:
1331:
1311:
1291:
1271:
1251:
1231:
1214:
1212:
1204:
1198:
1181:
1173:
1172:
1169:
1168:
1165:
1164:
1162:
1161:
1155:
1149:
1143:
1137:
1131:
1125:
1118:
1116:
1110:
1109:
1107:
1106:
1100:
1094:
1088:
1082:
1076:
1070:
1063:
1061:
1055:
1054:
1052:
1051:
1045:
1039:
1033:
1027:
1021:
1015:
1008:
1006:
1000:
999:
997:
996:
990:
984:
978:
971:
969:
963:
962:
960:
959:
953:
947:
941:
934:
932:
926:
925:
923:
922:
916:
910:
904:
897:
895:
888:
870:
858:
857:
850:
849:
842:
835:
827:
819:
818:
814:Theodore Baker
796:
774:
754:
718:
691:
672:(3): 335–348.
654:
632:
631:
629:
626:
625:
624:
619:
614:
612:Musical tuning
607:
604:
596:syntonic comma
513:
512:
502:
499:
472:perfect fourth
424:Richard Wagner
376:equal tempered
347:(1st and 3rd)
245:Staff notation
198:
197:
148:equal tempered
132:
131:
128:
127:
124:
118:
117:
114:
108:
107:
101:
100:
97:
91:
90:
87:
85:Interval class
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70:
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57:
54:
50:
49:
45:
44:
39:
26:
9:
6:
4:
3:
2:
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1809:
1806:
1804:
1801:
1800:
1798:
1785:
1775:
1765:
1762:
1760:
1757:
1755:
1752:
1750:
1747:
1745:
1742:
1741:
1739:
1737:
1733:
1727:
1724:
1722:
1719:
1717:
1714:
1712:
1709:
1708:
1706:
1704:
1700:
1693:
1690:
1687:
1684:
1681:
1678:
1677:
1673:
1670:
1667:
1664:
1661:
1658:
1655:
1652:
1649:
1646:
1645:
1641:
1638:
1635:
1632:
1629:
1628:Lesser diesis
1626:
1625:
1621:
1618:
1615:
1612:
1609:
1606:
1603:
1600:
1599:
1597:
1595:
1594:
1589:
1583:
1580:
1578:
1575:
1573:
1570:
1569:
1567:
1565:
1564:
1563:Quarter tones
1559:
1553:
1550:
1548:
1545:
1543:
1540:
1539:
1537:
1535:
1534:
1529:
1523:
1520:
1518:
1515:
1513:
1512:Pseudo-octave
1510:
1508:
1505:
1503:
1500:
1498:
1495:
1494:
1492:
1490:
1486:
1483:
1477:
1462:
1459:
1458:
1456:
1454:
1450:
1443:
1440:
1437:
1434:
1431:
1428:
1425:
1422:
1419:
1416:
1413:
1410:
1407:
1404:
1401:
1398:
1395:
1392:
1389:
1386:
1385:
1383:
1381:
1377:
1374:
1372:
1366:
1365:
1360:
1335:
1332:
1315:
1312:
1295:
1292:
1275:
1272:
1255:
1252:
1235:
1232:
1219:
1216:
1215:
1213:
1208:
1202:
1199:
1197:
1191:
1190:
1185:
1182:
1174:
1159:
1156:
1153:
1150:
1147:
1144:
1141:
1138:
1135:
1132:
1129:
1126:
1123:
1120:
1119:
1117:
1115:
1111:
1104:
1101:
1098:
1095:
1092:
1089:
1086:
1083:
1080:
1077:
1074:
1071:
1068:
1065:
1064:
1062:
1060:
1056:
1049:
1046:
1043:
1040:
1037:
1034:
1031:
1028:
1025:
1022:
1019:
1016:
1013:
1010:
1009:
1007:
1005:
1001:
994:
991:
988:
985:
982:
979:
976:
973:
972:
970:
968:
964:
957:
954:
951:
948:
945:
942:
939:
936:
935:
933:
931:
927:
920:
917:
914:
911:
908:
905:
902:
899:
898:
896:
892:
889:
887:
883:
874:
871:
865:
859:
855:
848:
843:
841:
836:
834:
829:
828:
825:
815:
811:
810:
805:
800:
793:
792:
787:
783:
782:John Fonville
778:
771:
767:
763:
758:
751:
750:1-143-49451-2
747:
743:
742:1-150-36602-8
739:
735:
731:
728:(translating
727:
722:
709:
708:9781317614203
705:
701:
695:
687:
683:
679:
675:
671:
667:
666:
658:
651:
650:0-8247-4714-3
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623:
620:
618:
615:
613:
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609:
603:
601:
597:
593:
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586:
581:
577:
568:
564:
561:
557:
553:
549:
545:
541:
537:
517:
507:
498:
496:
492:
488:
487:concert pitch
485:sound in the
484:
480:
475:
473:
469:
468:perfect fifth
465:
461:
457:
452:
450:
445:
443:
439:
435:
431:
430:
425:
421:
417:
410:
401:
397:
393:
389:
385:
381:
377:
373:
369:
364:
362:
361:perfect fifth
358:
354:
350:
349:scale degrees
346:
342:
338:
333:
331:
327:
323:
319:
315:
314:major third's
311:
307:
303:
298:
296:
292:
287:
285:
284:Light My Fire
281:
276:
275:melodically.
274:
270:
266:
262:
258:
254:
250:
246:
242:
238:
234:
230:
226:
216:
192:
170:
136:
126:316, 298, 294
125:
123:
119:
115:
113:
109:
106:
102:
98:
96:
95:Just interval
92:
88:
86:
82:
78:
76:
72:
67:
63:
59:
55:
51:
46:
43:
40:
38:
34:
19:
1735:
1702:
1688:(0.72 cents)
1682:(1.95 cents)
1662:(13.8 cents)
1656:(10.1 cents)
1650:(19.5 cents)
1642:(35.7 cents)
1636:(62.6 cents)
1630:(41.1 cents)
1622:(27.3 cents)
1616:(22.6 cents)
1610:(21.5 cents)
1604:(23.5 cents)
1591:
1572:Quarter tone
1562:
1561:
1532:
1531:
1488:
1453:Higher-limit
1368:
1362:
1274:major fourth
1218:quarter tone
1193:
1187:
980:
876:
807:
799:
789:
786:Ben Johnston
777:
769:
757:
733:
721:
699:
694:
669:
663:
657:
641:
636:
589:justly tuned
587:minus three
582:
543:
539:
536:music theory
533:
476:
453:
446:
438:Konzertstück
437:
427:
365:
353:Minor chords
334:
299:
288:
280:Greensleeves
277:
256:
228:
225:music theory
222:
61:Abbreviation
1721:Millioctave
1703:Measurement
1694:(0.4 cents)
1674:(7.7 cents)
1668:(8.1 cents)
1552:Major limma
1294:minor fifth
804:Paul, Oscar
644:, p. xxiv.
567:major scale
483:E♭ clarinet
337:minor scale
261:major third
229:minor third
138:Minor third
53:Other names
42:major sixth
31:Minor third
1797:Categories
1754:Semiditone
1648:Diaschisma
1463:(17-limit)
1154:(22 or 23)
1152:fourteenth
1148:(20 or 21)
1146:thirteenth
1142:(18 or 19)
1136:(17 or 18)
1130:(15 or 16)
1124:(13 or 14)
1059:Diminished
886:interval.)
867:(post-Bach
812:, p. 165.
628:References
540:semiditone
495:A clarinet
436:'s Op. 86
394:, such as
282:" and of "
265:Diminished
237:half steps
160:just (6:5)
56:sesquitone
1716:Centitone
1654:Semicomma
1533:Semitones
1497:Microtone
1481:intervals
1158:fifteenth
1004:Augmented
882:semitones
854:Intervals
772:. p. 268.
546:) is the
491:transpose
380:semitones
320:from the
241:semitones
75:Semitones
1686:Breedsma
1134:eleventh
1114:Compound
869:Western)
864:semitone
806:(1885).
713:♯
686:20515223
606:See also
548:interval
384:meantone
374:. In an
328:. (See
295:harmonic
175:♭
1692:Ragisma
1680:Schisma
1666:Kleisma
1502:5-limit
1408:(15:14)
1402:(21:20)
1396:(28:27)
1390:(36:35)
1380:7-limit
1345:⁄
1334:seventh
1325:⁄
1305:⁄
1285:⁄
1265:⁄
1245:⁄
1225:⁄
1207:Neutral
1180:systems
1140:twelfth
1097:seventh
1048:seventh
993:seventh
956:seventh
894:Perfect
862:Twelve-
665:Emotion
585:octaves
560:5-limit
345:mediant
310:tertian
302:quartal
37:Inverse
1749:Ditone
1736:Others
1726:Savart
1593:Commas
1489:Groups
1438:(10:7)
1234:second
1178:tuning
1103:octave
1079:fourth
1067:second
1030:fourth
1018:second
1012:unison
975:second
938:second
919:octave
907:fourth
901:unison
884:in the
748:
740:
706:
684:
648:
592:fifths
470:, and
464:octave
460:unison
251:(see:
1759:Secor
1507:Comma
1479:Other
1444:(7:4)
1432:(7:5)
1426:(9:7)
1420:(7:6)
1414:(8:7)
1314:sixth
1254:third
1176:Other
1128:tenth
1122:ninth
1091:sixth
1085:fifth
1073:third
1042:sixth
1036:fifth
1024:third
987:sixth
981:third
967:Minor
950:sixth
944:third
930:Major
913:fifth
552:cents
372:cents
341:tonic
257:minor
239:, or
231:is a
105:Cents
1744:Wolf
1711:Cent
1160:(24)
1105:(11)
1050:(12)
1044:(10)
995:(10)
958:(11)
921:(12)
746:ISBN
738:ISBN
704:ISBN
682:PMID
646:ISBN
575:Play
542:(or
538:, a
481:and
477:The
408:play
357:root
343:and
335:The
273:skip
267:and
227:, a
69:Size
48:Name
1099:(9)
1093:(7)
1087:(6)
1081:(4)
1075:(2)
1069:(0)
1038:(8)
1032:(6)
1026:(5)
1020:(3)
1014:(1)
989:(8)
983:(3)
977:(1)
952:(9)
946:(4)
940:(2)
915:(7)
909:(5)
903:(0)
784:. "
744:or
732:):
674:doi
534:In
426:'s
332:.)
286:".
223:In
116:300
1799::
1338:10
768:,
680:.
670:10
668:.
602:.
474:.
466:,
462:,
351:.
308:)
297:.
243:.
64:m3
1350:)
1347:2
1343:1
1340:+
1336:(
1330:)
1327:2
1323:1
1320:+
1318:8
1316:(
1310:)
1307:2
1303:1
1300:+
1298:6
1296:(
1290:)
1287:2
1283:1
1280:+
1278:5
1276:(
1270:)
1267:2
1263:1
1260:+
1258:3
1256:(
1250:)
1247:2
1243:1
1240:+
1238:1
1236:(
1230:)
1227:2
1223:1
1220:(
846:e
839:t
832:v
752:.
688:.
676::
402:(
89:3
79:3
20:)
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