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Octave

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476: 499: 511: 1097: 1112: 673: 652: 1127: 2739: 538: 1172:, the octave is the simplest interval in music. The human ear tends to hear both notes as being essentially "the same", due to closely related harmonics. Notes separated by an octave "ring" together, adding a pleasing sound to music. The interval is so natural to humans that when men and women are asked to sing in unison, they typically sing in octave. 1225:, describe tunings for seven of the strings, with indications to tune the remaining two strings an octave from two of the seven tuned strings. Leon Crickmore recently proposed that "The octave may not have been thought of as a unit in its own right, but rather by analogy like the first day of a new seven-day week". 943: 40: 963: 1191:
are uniquely defined by specifying the intervals within an octave". The conceptualization of pitch as having two dimensions, pitch height (absolute frequency) and pitch class (relative position within the octave), inherently include octave circularity. Thus all
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of vibration of the other. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music", the use of which is "common in most musical systems". The interval between the first and second harmonics of the
467: 292:, the note one octave above is at 880 Hz, and the note one octave below is at 220 Hz. The ratio of frequencies of two notes an octave apart is therefore 2:1. Further octaves of a note occur at 475: 1385: 323:
is an integer), such as 2, 4, 8, 16, etc. and the reciprocal of that series. For example, 55 Hz and 440 Hz are one and two octaves away from 110 Hz because they are
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While octaves commonly refer to the perfect octave (P8), the interval of an octave in music theory encompasses chromatic alterations within the pitch class, meaning that G
1080:, meaning "with the octave", i.e. to play the notes in the passage together with the notes in the notated octaves. Any of these directions can be cancelled with the word 636:, organ pipe, and MIDI note systems. In scientific pitch notation, a specific octave is indicated by a numerical subscript number after note name. In this notation, 498: 364: 510: 391: 317: 1236:. Studies have also shown the perception of octave equivalence in rats, human infants, and musicians but not starlings, 4–9-year-old children, or non-musicians. 402: 615:
respectively), but these categories of octaves must be acknowledged in any full understanding of the role and meaning of octaves more generally in music.
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ICONEA 2008: Proceedings of the International Conference of Near Eastern Archaeomusicology, Held at the British Museum, December 4–6, 2008
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Blackwell, H. R., & H. Schlosberg. 1943. "Octave Generalization, Pitch Discrimination, and Loudness Thresholds in the White Rat".
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are written so that they begin and end on notes that are an octave apart. For example, the C major scale is typically written
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Monkeys experience octave equivalence, and its biological basis apparently is an octave mapping of neurons in the auditory
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Octave equivalence is a part of most advanced musical cultures, but is far from universal in "primitive" and
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When you ask men and women to sing in unison, what typically happens is they actually sing an octave apart.
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tablets that collectively describe the tuning of a nine-stringed instrument, believed to be a Babylonian
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than two notes in different octaves) in the chord. The word is also used to describe melodies played in
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Demany, Laurent, and Françoise Armand. 1984. "The Perceptual Reality of Tone Chroma in Early Infancy".
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Because of octave equivalence, notes in a chord that are one or more octaves apart are said to be
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For this reason, notes an octave apart are given the same note name in the Western system of
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for the octave in the direction indicated by placing this mark above or below the staff.
198: 1335:(First published as a Norton paperback. ed.). New York: W. W. Norton. p. 163. 2618: 2055: 1789: 1251: 462:{\displaystyle {\text{Number of octaves}}=\log _{2}\left({\frac {f_{2}}{f_{1}}}\right)} 2674: 2560: 2500: 2061: 2037: 2025: 2006: 1820: 1529: 1463: 1403: 1375: 1336: 1280: 1214: 1210: 1198:
s (or all 1s, if C = 0), any number of octaves apart, are part of the same
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C5, an octave above middle C. The frequency is twice that of middle C (523 Hz).
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Cynx, Jeffrey. 1996. "Neuroethological Studies on How Birds Discriminate Song". In
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Allen, David. 1967. "Octave Discriminability of Musical and Non-Musical Subjects".
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C3, an octave below middle C. The frequency is half that of middle C (131 Hz).
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Example of the same three notes expressed in three ways: (1) regularly, (2) in an
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Octaves are identified with various naming systems. Among the most common are the
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Interval between one musical pitch and another with double its frequency
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The number of octaves between two frequencies is given by the formula:
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are also possible, though rare. The octave above or below an indicated
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How equal temperament ruined harmony : (and why you should care)
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word for octave (or "eighth"); the octave above may be specified as
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Leon Crickmore (2008). "New Light on the Babylonian Tonal System".
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one or more octaves apart (see example under Equivalence, below).
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Perspectives in Music Theory: An Historical-Analytical Approach
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Prout, Ebenezer & Fallows, David (2001). "All'ottava". In
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Burns, Edward M. (1999). "Intervals, Scales, and Tuning". In
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e.g., Nettl, 1956; Sachs, C. and Kunst, J. (1962). Cited in
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Sergeant, Desmond. 1983. "The Octave: Percept or Concept?"
1222: 1723: 1647: 1151:. The melody is paralleled in three ways: (1) in octaves ( 1625:
The mechanism of octave circularity in the auditory brain
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is used to tell the musician to play a passage an octave
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1528:(2nd ed.). San Diego: Academic Press. p. 252. 1254: – Unit for measuring ratios on a logarithmic scale 184:
between (and including) two notes, one having twice the
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e.g., Nettl, 1956; Sachs, C. and Kunst, J. (1962). In
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Demonstration of octave equivalence. The melody to "
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Neuroethology of Cognitive and Perceptual Processes
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Other 2755: 1785: 1714: 1674: 1562: 1519: 1371:A Dictionary of Christian Antiquities 1317: 393:) times the frequency, respectively. 2781: 1734: 1686: 1508: 1349:from the original on 5 December 2017 623: 284:and another with double or half its 1163:(neither consonant nor equivalent). 208:To emphasize that it is one of the 24: 1727:Journal of Experimental Psychology 1260: – Standard pitch designation 25: 2907: 1766: 2737: 1388:from the original on 2016-04-30. 607:-equivalent notation available ( 509: 497: 474: 1648:Blackwell & Schlosberg 1943 1617: 1598: 1587:from the original on 2012-06-28 1300: – Musical keyboard layout 521: 44:A perfect octave between two Cs 1555: 1542: 1477: 1437: 1413: 1392: 1361: 1087: 13: 1: 1811: 1310: 1306: – Music teaching method 1145:Twinkle, Twinkle, Little Star 1129: 1114: 1099: 583:(13 semitones higher) is an 540: 7: 2359:septimal chromatic semitone 1239: 1043:) is also used. Similarly, 618: 599:(11 semitones higher) is a 10: 2912: 2365:septimal diatonic semitone 2153:(Numbers in brackets refer 671: 272:Explanation and definition 29: 2886:Superparticular intervals 2789: 2735: 2693: 2660: 2549: 2519: 2489: 2446: 2437: 2410: 2337: 2320: 2155:to fractional semitones.) 2148:24-tone equal temperament 2145: 2134: 2071: 2016: 1961: 1924: 1887: 1852: 1819: 232:is sometimes abbreviated 193:is an octave. In Western 142: 134:12-Tone equal temperament 132: 125: 115: 105: 95: 90: 82: 74: 69: 57: 1660:Demany & Armand 1984 1550:The Wellsprings of Music 1494:. Event occurs at 12:50 1458:(2nd ed.). London: 1329:Duffin, Ross W. (2008). 1294: – Musical interval 1155:and equivalent); (2) in 2743:List of pitch intervals 2481:Subminor and supermajor 2420:minor diatonic semitone 2330:refer to pitch ratios.) 1526:The Psychology of Music 1374:. London: John Murray. 1134:download the audio file 1119:download the audio file 1104:download the audio file 545:download the audio file 32:Octave (disambiguation) 2804:Close and open harmony 2541:Undecimal quarter tone 951:bracket, and (3) in a 664: 463: 387: 360: 359:{\displaystyle 2^{-1}} 313: 257: 245: 174:(sometimes called the 167: 2536:Septimal quarter tone 2347:septimal quarter tone 1636:Neuroscience of Music 1398:Cooper, Paul (1973). 995:: "at the octave" or 987:is sometimes seen in 967:Similar example with 654: 464: 388: 386:{\displaystyle 2^{2}} 361: 314: 312:{\displaystyle 2^{n}} 2723:Incomposite interval 2476:Pythagorean interval 2328:(Numbers in brackets 1836:(Numbers in brackets 1773:Anatomy of an Octave 1460:Macmillan Publishers 1292:Pythagorean interval 663:(yellow) highlighted 403: 370: 340: 296: 280:between one musical 201:and are of the same 30:For other uses, see 2506:Pythagorean apotome 2353:septimal third tone 1758:Psychology of Music 1717:Psychonomic Science 1575:Clint Goss (2012). 560:(even if there are 54: 2619:Septimal semicomma 1630:2010-04-01 at the 1181:octave equivalence 1064:The abbreviations 1059:quindicesima bassa 665: 459: 383: 356: 309: 226:interval qualities 52: 2881:Perfect intervals 2863: 2862: 2749: 2748: 2731: 2730: 2561:Pythagorean comma 2501:Pythagorean limma 2433: 2432: 2429: 2428: 2395:supermajor fourth 2371:supermajor second 2316: 2315: 2130: 2129: 2126: 2125: 1838:are the number of 1469:978-1-56159-239-5 1342:978-0-393-33420-3 1281:Pitch circularity 1232:of the mammalian 1138: 1123: 1108: 925: 924: 850: 845: 624:Octave of a pitch 601:diminished octave 549: 453: 409: 408:Number of octaves 276:An octave is the 260:, sometimes also 210:perfect intervals 152: 151: 16:(Redirected from 2903: 2783:Voicing in music 2776: 2769: 2762: 2753: 2752: 2741: 2740: 2631:Septimal kleisma 2444: 2443: 2401:subminor seventh 2383:supermajor third 2335: 2334: 2323:Just intonations 2308: 2307: 2303: 2300: 2288: 2287: 2283: 2280: 2268: 2267: 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647: 643: 626: 621: 595: 594: 589: 588: 579: 578: 573: 572: 552: 551: 550: 548: 532:C D E F G A B C 531: 524: 517: 514: 505: 502: 493: 479: 447: 443: 437: 433: 431: 427: 418: 414: 406: 404: 401: 400: 377: 373: 371: 368: 367: 347: 343: 341: 338: 337: 332: 328: 325: 324: 303: 299: 297: 294: 293: 274: 191:harmonic series 144:Just intonation 50: 47: 46: 45: 42: 41: 35: 28: 23: 22: 15: 12: 11: 5: 2909: 2899: 2898: 2896:Units of level 2893: 2888: 2883: 2878: 2861: 2860: 2858: 2857: 2852: 2847: 2842: 2816: 2811: 2806: 2801: 2796: 2790: 2787: 2786: 2779: 2778: 2771: 2764: 2756: 2747: 2746: 2736: 2733: 2732: 2729: 2728: 2726: 2725: 2720: 2715: 2710: 2705: 2699: 2697: 2691: 2690: 2688: 2687: 2682: 2677: 2672: 2666: 2664: 2658: 2657: 2655: 2654: 2648: 2642: 2635: 2634: 2628: 2622: 2616: 2610: 2603: 2602: 2596: 2593:Greater diesis 2590: 2583: 2582: 2579:Septimal comma 2576: 2573:Holdrian comma 2570: 2567:Syntonic comma 2564: 2557: 2555: 2547: 2546: 2544: 2543: 2538: 2533: 2527: 2525: 2517: 2516: 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436: 430: 426: 421: 417: 413: 380: 376: 353: 350: 346: 306: 302: 273: 270: 218:perfect fourth 195:music notation 172:perfect octave 150: 149: 146: 140: 139: 136: 130: 129: 123: 122: 119: 113: 112: 109: 107:Interval class 103: 102: 99: 93: 92: 88: 87: 84: 80: 79: 76: 72: 71: 67: 66: 61: 53:Perfect octave 48: 43: 38: 37: 36: 26: 9: 6: 4: 3: 2: 2908: 2897: 2894: 2892: 2891:Musical notes 2889: 2887: 2884: 2882: 2879: 2877: 2874: 2873: 2871: 2856: 2855:Voice leading 2853: 2851: 2848: 2846: 2843: 2840: 2836: 2832: 2828: 2824: 2820: 2819:Root position 2817: 2815: 2812: 2810: 2807: 2805: 2802: 2800: 2797: 2795: 2792: 2791: 2788: 2784: 2777: 2772: 2770: 2765: 2763: 2758: 2757: 2754: 2744: 2734: 2724: 2721: 2719: 2716: 2714: 2711: 2709: 2706: 2704: 2701: 2700: 2698: 2696: 2692: 2686: 2683: 2681: 2678: 2676: 2673: 2671: 2668: 2667: 2665: 2663: 2659: 2652: 2649: 2646: 2643: 2640: 2637: 2636: 2632: 2629: 2626: 2623: 2620: 2617: 2614: 2611: 2608: 2605: 2604: 2600: 2597: 2594: 2591: 2588: 2587:Lesser diesis 2585: 2584: 2580: 2577: 2574: 2571: 2568: 2565: 2562: 2559: 2558: 2556: 2554: 2553: 2548: 2542: 2539: 2537: 2534: 2532: 2529: 2528: 2526: 2524: 2523: 2522:Quarter tones 2518: 2512: 2509: 2507: 2504: 2502: 2499: 2498: 2496: 2494: 2493: 2488: 2482: 2479: 2477: 2474: 2472: 2471:Pseudo-octave 2469: 2467: 2464: 2462: 2459: 2457: 2454: 2453: 2451: 2449: 2445: 2442: 2436: 2421: 2418: 2417: 2415: 2413: 2409: 2402: 2399: 2396: 2393: 2390: 2387: 2384: 2381: 2378: 2375: 2372: 2369: 2366: 2363: 2360: 2357: 2354: 2351: 2348: 2345: 2344: 2342: 2340: 2336: 2333: 2331: 2325: 2324: 2319: 2294: 2291: 2274: 2271: 2254: 2251: 2234: 2231: 2214: 2211: 2194: 2191: 2178: 2175: 2174: 2172: 2167: 2161: 2158: 2156: 2150: 2149: 2144: 2141: 2133: 2118: 2115: 2112: 2109: 2106: 2103: 2100: 2097: 2094: 2091: 2088: 2085: 2082: 2079: 2078: 2076: 2074: 2070: 2063: 2060: 2057: 2054: 2051: 2048: 2045: 2042: 2039: 2036: 2033: 2030: 2027: 2024: 2023: 2021: 2019: 2015: 2008: 2005: 2002: 1999: 1996: 1993: 1990: 1987: 1984: 1981: 1978: 1975: 1972: 1969: 1968: 1966: 1964: 1960: 1953: 1950: 1947: 1944: 1941: 1938: 1935: 1932: 1931: 1929: 1927: 1923: 1916: 1913: 1910: 1907: 1904: 1901: 1898: 1895: 1894: 1892: 1890: 1886: 1879: 1876: 1873: 1870: 1867: 1864: 1861: 1858: 1857: 1855: 1851: 1848: 1846: 1842: 1833: 1830: 1824: 1818: 1814: 1807: 1802: 1800: 1795: 1793: 1788: 1787: 1784: 1778: 1774: 1771: 1770: 1760: 1759: 1753: 1749: 1748: 1742: 1738: 1733: 1729: 1728: 1722: 1718: 1713: 1712: 1711: 1710: 1700: 1699:Sergeant 1983 1695: 1688: 1683: 1676: 1671: 1669: 1661: 1656: 1649: 1644: 1637: 1633: 1629: 1626: 1620: 1612: 1608: 1601: 1586: 1582: 1578: 1571: 1564: 1558: 1551: 1545: 1537: 1535:0-12-213564-4 1531: 1527: 1523: 1522:Diana Deutsch 1516: 1514: 1512: 1504: 1493: 1491: 1486: 1480: 1471: 1465: 1461: 1457: 1456: 1451: 1450:Tyrrell, John 1447: 1440: 1426: 1422: 1416: 1409: 1408:0-396-06752-2 1405: 1401: 1395: 1387: 1383: 1381:9780790582290 1377: 1373: 1372: 1364: 1348: 1344: 1338: 1334: 1333: 1325: 1323: 1321: 1316: 1305: 1302: 1299: 1296: 1293: 1290: 1288: 1287:Pseudo-octave 1285: 1282: 1279: 1277: 1274: 1271: 1268: 1265: 1262: 1259: 1256: 1253: 1250: 1247: 1244: 1243: 1237: 1235: 1231: 1226: 1224: 1220: 1216: 1212: 1208: 1203: 1201: 1190: 1186: 1182: 1178: 1173: 1171: 1162: 1158: 1154: 1150: 1146: 1135: 1120: 1105: 1092: 1085: 1083: 1079: 1075: 1071: 1067: 1062: 1060: 1056: 1052: 1048: 1047: 1042: 1038: 1034: 1030: 1026: 1023:). Sometimes 1022: 1018: 1014: 1010: 1006: 1002: 998: 994: 990: 986: 982: 979:The notation 974: 970: 954: 950: 936: 932: 921: 918: 915: 912: 909: 906: 903: 900: 897: 894: 891: 888: 886: 883: 882: 879: 876: 873: 870: 867: 864: 861: 858: 855: 852: 847: 842: 840: 837: 836: 833: 830: 827: 824: 821: 818: 815: 812: 809: 806: 803: 800: 798: 795: 794: 791: 788: 785: 782: 779: 776: 773: 770: 767: 764: 761: 758: 756: 753: 752: 749: 743: 737: 731: 725: 719: 713: 707: 701: 695: 689: 683: 681: 678: 677: 670: 667: 666: 662: 658: 653: 649: 639: 635: 631: 616: 614: 613:major seventh 610: 606: 602: 586: 569: 567: 563: 559: 558: 546: 535: 529: 512: 507: 500: 495: 491: 487: 483: 477: 472: 471: 455: 448: 444: 438: 434: 428: 424: 419: 415: 411: 399: 398: 397: 394: 378: 374: 351: 348: 344: 322: 304: 300: 291: 287: 283: 279: 269: 267: 264:), or simply 263: 259: 255: 251: 247: 243: 239: 235: 231: 227: 223: 222:perfect fifth 219: 215: 211: 206: 204: 200: 196: 192: 187: 183: 179: 178: 173: 170:: eighth) or 169: 165: 161: 157: 147: 145: 141: 137: 135: 131: 128: 124: 120: 118: 117:Just interval 114: 110: 108: 104: 100: 98: 94: 89: 85: 81: 77: 73: 68: 65: 62: 60: 56: 33: 19: 2844: 2794:Blind octave 2694: 2661: 2647:(0.72 cents) 2641:(1.95 cents) 2621:(13.8 cents) 2615:(10.1 cents) 2609:(19.5 cents) 2601:(35.7 cents) 2595:(62.6 cents) 2589:(41.1 cents) 2581:(27.3 cents) 2575:(22.6 cents) 2569:(21.5 cents) 2563:(23.5 cents) 2550: 2531:Quarter tone 2521: 2520: 2491: 2490: 2447: 2412:Higher-limit 2327: 2321: 2233:major fourth 2177:quarter tone 2152: 2146: 1877: 1835: 1756: 1745: 1736: 1725: 1716: 1708: 1707: 1694: 1682: 1655: 1643: 1635: 1619: 1610: 1606: 1600: 1589:. Retrieved 1580: 1570: 1557: 1549: 1544: 1525: 1502: 1496:. Retrieved 1488: 1479: 1453: 1439: 1428:. Retrieved 1424: 1415: 1399: 1394: 1370: 1363: 1351:. Retrieved 1331: 1298:Short octave 1246:Blind octave 1227: 1204: 1180: 1174: 1167: 1091: 1081: 1077: 1073: 1069: 1065: 1063: 1058: 1054: 1051:quindicesima 1050: 1044: 1041:ottava sotto 1040: 1037:ottava bassa 1036: 1032: 1028: 1024: 1021:ottava sopra 1020: 1016: 1008: 1004: 1000: 996: 992: 984: 980: 978: 972: 968: 952: 948: 934: 930: 884: 838: 796: 754: 679: 627: 570: 561: 555: 553: 525: 522:Music theory 395: 366:) and 4 (or 320: 275: 265: 261: 249: 237: 233: 207: 176: 171: 159: 153: 83:Abbreviation 2841:inversions) 2809:Common tone 2799:Block chord 2680:Millioctave 2662:Measurement 2653:(0.4 cents) 2633:(7.7 cents) 2627:(8.1 cents) 2511:Major limma 2253:minor fifth 1730:33:407–419. 1264:Octave band 1207:early music 1200:pitch class 1088:Equivalence 1078:coll'ottava 1017:ottava alta 1007:stands for 993:all' ottava 989:sheet music 931:Ottava alta 609:minor ninth 587:(A8), and G 490:millisecond 482:Oscillogram 212:(including 203:pitch class 75:Other names 2870:Categories 2713:Semiditone 2607:Diaschisma 2422:(17-limit) 2113:(22 or 23) 2111:fourteenth 2107:(20 or 21) 2105:thirteenth 2101:(18 or 19) 2095:(17 or 18) 2089:(15 or 16) 2083:(13 or 14) 2018:Diminished 1845:interval.) 1826:(post-Bach 1675:Allen 1967 1591:2012-01-08 1581:Flutopedia 1563:Burns 1999 1498:2018-11-01 1430:2024-01-24 1311:References 1185:equivalent 1168:After the 1076:stand for 849:Sub Contra 844:Dbl Contra 680:Scientific 630:scientific 246:all'ottava 2823:Inversion 2675:Centitone 2613:Semicomma 2492:Semitones 2456:Microtone 2440:intervals 2117:fifteenth 1963:Augmented 1841:semitones 1813:Intervals 1777:Kyle Gann 1750:76:57–66. 1719:7:421–22. 1687:Cynx 1993 1492:Explained 1402:, p. 16. 1219:cuneiform 1153:consonant 885:MIDI Note 755:Helmholtz 634:Helmholtz 425:⁡ 349:− 286:frequency 186:frequency 97:Semitones 2814:Doubling 2645:Breedsma 2093:eleventh 2073:Compound 1828:Western) 1823:semitone 1628:Archived 1613:: 11–22. 1585:Archived 1452:(eds.). 1386:Archived 1347:Archived 1240:See also 1230:thalamus 1215:Akkadian 1211:Sumerian 1195:♯ 807:16 Foot 804:32 Foot 801:64 Foot 789:c'''''' 657:Middle C 638:middle C 619:Notation 596:♭ 590:♮ 580:♯ 574:♮ 566:parallel 486:middle C 278:interval 182:interval 177:diapason 2876:Octaves 2651:Ragisma 2639:Schisma 2625:Kleisma 2461:5-limit 2367:(15:14) 2361:(21:20) 2355:(28:27) 2349:(36:35) 2339:7-limit 2304:⁄ 2293:seventh 2284:⁄ 2264:⁄ 2244:⁄ 2224:⁄ 2204:⁄ 2184:⁄ 2166:Neutral 2139:systems 2099:twelfth 2056:seventh 2007:seventh 1952:seventh 1915:seventh 1853:Perfect 1821:Twelve- 1709:Sources 1524:(ed.). 1485:"Music" 1353:28 June 1304:Solfège 1161:seconds 1147:" with 1070:coll' 8 1013:Italian 955:bracket 877:6 Line 874:5 Line 871:4 Line 868:3 Line 865:2 Line 862:1 Line 853:Contra 831:6 Line 828:5 Line 825:4 Line 822:3 Line 819:1 Foot 816:2 Foot 813:4 Foot 810:8 Foot 786:c''''' 557:doubled 331:⁄ 254:Italian 250:8 bassa 242:Italian 168:octavus 59:Inverse 18:Octaves 2845:Octave 2839:higher 2837:, and 2708:Ditone 2695:Others 2685:Savart 2552:Commas 2448:Groups 2397:(10:7) 2193:second 2137:tuning 2062:octave 2038:fourth 2026:second 1989:fourth 1977:second 1971:unison 1934:second 1897:second 1878:octave 1866:fourth 1860:unison 1843:in the 1532:  1466:  1448:& 1406:  1378:  1339:  1252:Decade 1189:scales 1170:unison 1157:fifths 1072:, and 1011:, the 1009:ottava 997:all' 8 859:Small 856:Great 783:c'''' 220:, and 214:unison 160:octave 64:unison 2850:Voice 2718:Secor 2466:Comma 2438:Other 2403:(7:4) 2391:(7:5) 2385:(9:7) 2379:(7:6) 2373:(8:7) 2273:sixth 2213:third 2135:Other 2087:tenth 2081:ninth 2050:sixth 2044:fifth 2032:third 2001:sixth 1995:fifth 1983:third 1946:sixth 1940:third 1926:Minor 1909:sixth 1903:third 1889:Major 1872:fifth 1234:brain 1066:col 8 1029:lower 935:bassa 797:Organ 780:c''' 759:C,,, 526:Most 282:pitch 164:Latin 158:, an 156:music 127:Cents 2821:and 2703:Wolf 2670:Cent 2119:(24) 2064:(11) 2009:(12) 2003:(10) 1954:(10) 1917:(11) 1880:(12) 1530:ISBN 1464:ISBN 1404:ISBN 1376:ISBN 1355:2017 1337:ISBN 1223:lyre 1213:and 1082:loco 1074:c. 8 971:and 933:and 919:120 916:108 839:Name 777:c'' 762:C,, 661:A440 640:is C 611:and 593:to G 577:to G 562:more 336:(or 230:note 199:name 148:1200 138:1200 91:Size 70:Name 2835:3rd 2831:2nd 2827:1st 2058:(9) 2052:(7) 2046:(6) 2040:(4) 2034:(2) 2028:(0) 1997:(8) 1991:(6) 1985:(5) 1979:(3) 1973:(1) 1948:(8) 1942:(3) 1936:(1) 1911:(9) 1905:(4) 1899:(2) 1874:(7) 1868:(5) 1862:(0) 1775:by 1634:", 1490:Vox 1039:or 1019:or 1003:or 999:). 983:or 913:96 910:84 907:72 904:60 901:48 898:36 895:24 892:12 774:c' 765:C, 484:of 416:log 248:), 236:or 154:In 121:2:1 2872:: 2833:, 2829:, 2297:10 1667:^ 1611:24 1609:. 1583:. 1579:. 1510:^ 1501:. 1487:. 1462:. 1423:. 1384:. 1345:. 1319:^ 1202:. 1068:, 1055:15 1046:15 973:15 953:15 889:0 771:c 768:C 686:−1 648:. 632:, 290:Hz 256:: 244:: 216:, 205:. 166:: 101:12 86:P8 2825:( 2775:e 2768:t 2761:v 2309:) 2306:2 2302:1 2299:+ 2295:( 2289:) 2286:2 2282:1 2279:+ 2277:8 2275:( 2269:) 2266:2 2262:1 2259:+ 2257:6 2255:( 2249:) 2246:2 2242:1 2239:+ 2237:5 2235:( 2229:) 2226:2 2222:1 2219:+ 2217:3 2215:( 2209:) 2206:2 2202:1 2199:+ 2197:1 2195:( 2189:) 2186:2 2182:1 2179:( 1805:e 1798:t 1791:v 1701:. 1689:. 1677:. 1662:. 1650:. 1638:. 1623:" 1594:. 1538:. 1474:‎ 1472:. 1433:. 1410:. 1357:. 1192:C 1136:. 1121:. 1106:. 1057:( 1049:( 1035:( 1033:8 1025:8 1005:8 1001:8 985:8 981:8 969:8 949:8 746:9 744:C 740:8 738:C 734:7 732:C 728:6 726:C 722:5 720:C 716:4 714:C 710:3 708:C 704:2 702:C 698:1 696:C 692:0 690:C 684:C 646:5 642:4 547:. 492:) 456:) 449:1 445:f 439:2 435:f 429:( 420:2 412:= 379:2 375:2 352:1 345:2 333:2 329:1 326:+ 321:n 305:n 301:2 266:8 262:8 252:( 240:( 238:8 234:8 162:( 111:0 78:- 34:. 20:)

Index

Octaves
Octave (disambiguation)
Inverse
unison
Semitones
Interval class
Just interval
Cents
12-Tone equal temperament
Just intonation
music
Latin
diapason
interval
frequency
harmonic series
music notation
name
pitch class
perfect intervals
unison
perfect fourth
perfect fifth
interval qualities
note
Italian
Italian
interval
pitch
frequency

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