281:
244:
128:
122:
1339:
282:
245:
129:
213:
form the interval of an augmented second. This distinguishing feature of harmonic minor scales occurs as a consequence of the seventh scale degree having been chromatically raised in order to allow
207:). In harmonic minor scales, the augmented second occurs between the sixth and seventh scale degrees. For example, in the scale of A harmonic minor, the notes F and G
1060:
372:
316:
403:
562:
337:
100:
181:. For instance, the interval from C to D is a major second, two semitones wide, and the interval from C to D
1361:
852:
832:
958:
964:
672:
525:
488:
747:
254:
234:
158:
1366:
1342:
1080:
1019:
396:
221:
observed in major keys, where the V chord is "dominant" (that is, contains a major triad plus a
1140:
617:
258:
434:
1135:
946:
1322:
1075:
982:
976:
269:
262:
170:
25:
8:
1105:
970:
952:
1218:
655:
389:
319:. Specific example of an A2 not given but general example of major intervals described.
178:
30:
1274:
1160:
1100:
661:
637:
625:
606:
420:
333:
312:
373:
A manual of harmony for use in music-schools and seminaries and for self-instruction
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1055:
1000:
994:
988:
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631:
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922:
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218:
146:
142:
110:
83:
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938:
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73:
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872:
812:
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551:
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471:
222:
214:
1269:
1130:
776:
533:
496:
204:
174:
93:
1279:
1110:
545:
539:
508:
502:
238:
200:
162:
121:
1312:
1206:
704:
257:, but this does not hold true in most tunings. In any tuning close to
1212:
716:
353:, p.89-90. Thurgate & Sons. Digitized Aug 16, 2007. Archaically:
166:
1244:
692:
440:
63:
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1238:
1224:
643:
588:
1307:
1284:
1192:
1186:
477:
459:
680:
268:
The 75:64 just augmented second arises in the justly tuned C
195:
Augmented seconds occur in many scales, most importantly the
381:
199:
and its various modes. They also occur in the various
187:is an augmented second, spanning three semitones.
1353:
203:(which consist almost entirely of augmented and
397:
376:, p.165. Theodore Baker, trans. G. Schirmer.
217:in a minor key to follow the same rules of
1338:
404:
390:
303:
301:
261:it will be close to the 7:6 ratio of the
88:75:64, 125:108, 15:13, 19:16, 19683:16384
120:
330:The Mathematical Theory of Tone Systems
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762:
322:
298:
385:
309:Music: In Theory and Practice, Vol. I
13:
14:
1378:
1337:
351:Music: Its Theory & Practice
161:, is sonically equivalent to a
364:
343:
1:
411:
292:
307:Benward & Saker (2003).
7:
959:septimal chromatic semitone
340:. Classic augmented second.
10:
1383:
965:septimal diatonic semitone
753:(Numbers in brackets refer
1335:
1293:
1260:
1149:
1119:
1089:
1046:
1037:
1010:
937:
920:
755:to fractional semitones.)
748:24-tone equal temperament
745:
734:
671:
616:
561:
524:
487:
452:
419:
255:12-tone equal temperament
235:enharmonically equivalent
228:
159:12-tone equal temperament
115:275, 253, 247.7, 298, 318
109:
101:12-Tone equal temperament
99:
92:
82:
72:
62:
57:
49:
41:
36:
24:
190:
1343:List of pitch intervals
1081:Subminor and supermajor
1020:minor diatonic semitone
930:refer to pitch ratios.)
349:Hoffmann, F.A. (1881).
233:An augmented second is
1141:Undecimal quarter tone
259:quarter-comma meantone
138:
125:Augmented second on C
1136:Septimal quarter tone
947:septimal quarter tone
328:Haluska, Jan (2003).
124:
1323:Incomposite interval
1076:Pythagorean interval
928:(Numbers in brackets
436:(Numbers in brackets
370:Paul, Oscar (1885).
359:extreme sharp second
270:harmonic minor scale
263:septimal minor third
169:, and is created by
1362:Augmented intervals
1106:Pythagorean apotome
953:septimal third tone
21:
1219:Septimal semicomma
179:chromatic semitone
139:
31:diminished seventh
19:
1349:
1348:
1331:
1330:
1161:Pythagorean comma
1101:Pythagorean limma
1033:
1032:
1029:
1028:
995:supermajor fourth
971:supermajor second
916:
915:
730:
729:
726:
725:
438:are the number of
317:978-0-07-294262-0
165:, spanning three
119:
118:
1374:
1341:
1340:
1231:Septimal kleisma
1044:
1043:
1001:subminor seventh
983:supermajor third
935:
934:
923:Just intonations
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151:augmented second
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22:
20:Augmented second
18:
16:Musical interval
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1367:Seconds (music)
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1199:Septimal diesis
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147:Western culture
143:classical music
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111:Just intonation
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1193:Greater diesis
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1179:Septimal comma
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1173:Holdrian comma
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1167:Syntonic comma
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989:subminor fifth
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977:subminor third
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197:harmonic minor
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117:
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74:Interval class
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1187:Lesser diesis
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1123:
1122:Quarter tones
1118:
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1099:
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1071:Pseudo-octave
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338:0-8247-4714-3
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304:
302:
297:
290:
286:
271:
266:
264:
260:
256:
249:
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236:
226:
224:
223:minor seventh
220:
216:
206:
205:minor seconds
202:
198:
188:
180:
176:
172:
168:
164:
160:
156:
152:
148:
144:
133:
123:
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:
1294:
1261:
1247:(0.72 cents)
1241:(1.95 cents)
1221:(13.8 cents)
1215:(10.1 cents)
1209:(19.5 cents)
1201:(35.7 cents)
1195:(62.6 cents)
1189:(41.1 cents)
1181:(27.3 cents)
1175:(22.6 cents)
1169:(21.5 cents)
1163:(23.5 cents)
1150:
1131:Quarter tone
1121:
1120:
1091:
1090:
1047:
1012:Higher-limit
927:
921:
833:major fourth
777:quarter tone
752:
746:
576:
435:
371:
366:
358:
354:
350:
345:
329:
324:
308:
267:
232:
201:Gypsy scales
194:
175:major second
150:
140:
50:Abbreviation
1280:Millioctave
1262:Measurement
1253:(0.4 cents)
1233:(7.7 cents)
1227:(8.1 cents)
1111:Major limma
853:minor fifth
239:minor third
163:minor third
42:Other names
1356:Categories
1313:Semiditone
1207:Diaschisma
1022:(17-limit)
713:(22 or 23)
711:fourteenth
707:(20 or 21)
705:thirteenth
701:(18 or 19)
695:(17 or 18)
689:(15 or 16)
683:(13 or 14)
618:Diminished
445:interval.)
426:(post-Bach
332:, p.xxvi.
293:References
1275:Centitone
1213:Semicomma
1092:Semitones
1056:Microtone
1040:intervals
717:fifteenth
563:Augmented
441:semitones
413:Intervals
355:redundant
272:between A
167:semitones
157:that, in
64:Semitones
1245:Breedsma
693:eleventh
673:Compound
428:Western)
423:semitone
311:, p.54.
275:♭
210:♯
184:♯
171:widening
155:interval
1251:Ragisma
1239:Schisma
1225:Kleisma
1061:5-limit
967:(15:14)
961:(21:20)
955:(28:27)
949:(36:35)
939:7-limit
904:⁄
893:seventh
884:⁄
864:⁄
844:⁄
824:⁄
804:⁄
784:⁄
766:Neutral
739:systems
699:twelfth
656:seventh
607:seventh
552:seventh
515:seventh
453:Perfect
421:Twelve-
278:and B.
219:cadence
26:Inverse
1308:Ditone
1295:Others
1285:Savart
1152:Commas
1048:Groups
997:(10:7)
793:second
737:tuning
662:octave
638:fourth
626:second
589:fourth
577:second
571:unison
534:second
497:second
478:octave
466:fourth
460:unison
443:in the
336:
315:
229:Tuning
215:chords
153:is an
1318:Secor
1066:Comma
1038:Other
1003:(7:4)
991:(7:5)
985:(9:7)
979:(7:6)
973:(8:7)
873:sixth
813:third
735:Other
687:tenth
681:ninth
650:sixth
644:fifth
632:third
601:sixth
595:fifth
583:third
546:sixth
540:third
526:Minor
509:sixth
503:third
489:Major
472:fifth
253:) in
237:to a
191:Usage
177:by a
149:, an
145:from
94:Cents
1303:Wolf
1270:Cent
719:(24)
664:(11)
609:(12)
603:(10)
554:(10)
517:(11)
480:(12)
334:ISBN
313:ISBN
284:Play
247:Play
131:Play
58:Size
37:Name
658:(9)
652:(7)
646:(6)
640:(4)
634:(2)
628:(0)
597:(8)
591:(6)
585:(5)
579:(3)
573:(1)
548:(8)
542:(3)
536:(1)
511:(9)
505:(4)
499:(2)
474:(7)
468:(5)
462:(0)
357:or
225:).
141:In
105:300
1358::
897:10
300:^
265:.
173:a
53:A2
909:)
906:2
902:1
899:+
895:(
889:)
886:2
882:1
879:+
877:8
875:(
869:)
866:2
862:1
859:+
857:6
855:(
849:)
846:2
842:1
839:+
837:5
835:(
829:)
826:2
822:1
819:+
817:3
815:(
809:)
806:2
802:1
799:+
797:1
795:(
789:)
786:2
782:1
779:(
405:e
398:t
391:v
361:.
241:(
137:.
78:3
68:3
45:-
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