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Scale (music)

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828:. The most common binary numbering scheme defines lower pitches to have lower numeric value (as opposed to low pitches having a high numeric value). Thus a single pitch class n in the pitch class set is represented by 2^n. This maps the entire power set of all pitch class sets in 12-TET to the numbers 0 to 4095. The binary digits read as ascending pitches from right to left, which some find discombobulating because they are used to low to high reading left to right, as on a piano keyboard. In this scheme, the major scale is 101010110101 = 2741. This binary representation permits easy calculation of interval vectors and common tones, using logical binary operators. It also provides a perfect index for every possible combination of tones, as every scale has its own number. 2325: 223: 2315: 811: 858: 1175: 388:"The number of the notes that make up a scale as well as the quality of the intervals between successive notes of the scale help to give the music of a culture area its peculiar sound quality." "The pitch distances or intervals among the notes of a scale tell us more about the sound of the music than does the mere number of tones." 724:—the central and most stable note of the scale. In Western tonal music, simple songs or pieces typically start and end on the tonic note. Relative to a choice of a certain tonic, the notes of a scale are often labeled with numbers recording how many scale steps above the tonic they are. For example, the notes of the C 279: 46: 732:
refers to these numerical labels. Such labeling requires the choice of a "first" note; hence scale-degree labels are not intrinsic to the scale itself, but rather to its modes. For example, if we choose A as tonic, then we can label the notes of the C major scale using A = 1, B = 2, C = 3, and so on.
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Some scales use a different number of pitches. A common scale in Eastern music is the pentatonic scale, which consists of five notes that span an octave. For example, in the Chinese culture, the pentatonic scale is usually used for folk music and consists of C, D, E, G and A, commonly known as gong,
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in Chromatic transposition). Since the steps of a scale can have various sizes, this process introduces subtle melodic and harmonic variation into the music. In Western tonal music, the simplest and most common type of modulation (or changing keys) is to shift from one major key to another key built
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from the tonic. For instance, 0 2 4 5 7 9 11 denotes any major scale such as C–D–E–F–G–A–B, in which the first degree is, obviously, 0 semitones from the tonic (and therefore coincides with it), the second is 2 semitones from the tonic, the third is 4 semitones from the tonic, and so on. Again, this
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The notes of a scale are numbered by their steps from the first degree of the scale. For example, in a C major scale the first note is C, the second D, the third E and so on. Two notes can also be numbered in relation to each other: C and E create an interval of a third (in this case a major third);
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Some scales span part of an octave; several such short scales are typically combined to form a scale spanning a full octave or more, and usually called with a third name of its own. The Turkish and Middle Eastern music has around a dozen such basic short scales that are combined to form hundreds of
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is one exception). An octave-repeating scale can be represented as a circular arrangement of pitch classes, ordered by increasing (or decreasing) pitch class. For instance, the increasing C major scale is C–D–E–F–G–A–B–, with the bracket indicating that the last note is an octave higher than the
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equivalence, scales are generally considered to span a single octave, with higher or lower octaves simply repeating the pattern. A musical scale represents a division of the octave space into a certain number of scale steps, a scale step being the recognizable distance (or
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which involves systematic changes from one scale to another. Modulation occurs in relatively conventionalized ways. For example, major-mode pieces typically begin in a "tonic" diatonic scale and modulate to the "dominant" scale a fifth above.
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pieces and contemporary music, composers modulate to "remote keys" that are not related to or close to the tonic. An example of a remote modulation would be taking a song that begins in C major and modulating (changing keys) to
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to guide or limit a composition. Explicit instruction in scales has been part of compositional training for many centuries. One or more scales may be used in a composition, such as in
385:, or having imperfections. Many music theorists concur that the constituent intervals of a scale have a large role in the cognitive perception of its sonority, or tonal character. 1059:
tones or semitones, creating 12 intervals per octave. Each interval separates two tones; the higher tone has an oscillation frequency of a fixed ratio (by a factor equal to the
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naming convention in which each scale degree is denoted by a syllable. In the major scale, the solfĂšge syllables are: do, re, mi, fa, so (or sol), la, ti (or si), do (or ut).
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has one scale step spanning 14 intervals (of the middle eastern type found 53 in an octave) roughly similar to 3 semitones (of the western type found 12 in an octave), while
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is called tritonic (though the expression is also used for any scale with just three notes per octave, whether or not it includes a tritone), and one without tritones is
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implies that the notes are drawn from a chromatic scale tuned with 12-tone equal temperament. For some fretted string instruments, such as the guitar and the
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In naming the notes of a scale, it is customary that each scale degree be assigned its own letter name: for example, the A major scale is written A–B–C
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A measure of the width of each scale step provides a method to classify scales. For instance, in a chromatic scale each scale step represents a
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first note, and the decreasing C major scale is C–B–A–G–F–E–D–, with the bracket indicating an octave lower than the first note in the scale.
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on the first key's fifth (or dominant) scale degree. In the key of C major, this would involve moving to the key of G major (which uses an F
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A single scale can be manifested at many different pitch levels. For example, a C major scale can be started at C4 (middle C; see
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Database in .xls and FileMaker formats of all 2048 possible unique scales in 12 tone equal temperament + meantone alternatives.
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generally consist of seven notes and repeat at the octave. Notes in the commonly used scales (see just below) are separated by
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intervals plays a large part in the sound of the scale, the natural movement of melody within the scale, and the selection of
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Many other musical traditions use scales that include other intervals. These scales originate within the derivation of the
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Composers transform musical patterns by moving every note in the pattern by a constant number of scale steps: thus, in the
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Scales may also be identified by using a binary system of twelve zeros or ones to represent each of the twelve notes of a
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and scales are used, often within the same piece of music. Chromatic scales are common, especially in modern jazz.
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In the 19th century (to a certain extent), but more in the 20th century, additional types of scales were explored:
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A specific scale is defined by its characteristic interval pattern and by a special note, known as its first
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Peninsulae, which are based on inharmonic resonance of the dominant metalophone and xylophone instruments.
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intervals, a 6-note scale has 15, a 7-note scale has 21, an 8-note scale has 28. Though the scale is not a
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series. Many musical scales in the world are based on this system, except most of the musical scales from
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Daniel Starr. ‘Sets, Invariance, and Partitions’. In: Journal of Music Theory 22.1 (1978), pp. 1–42
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includes a three-semitone step; the anhemitonic pentatonic includes two of those and no semitones.
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Alexander Brinkman. Pascal Programming for Music Research. University of Chicago Press, 1990.
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intervals. In both rāgas and maqamat, the distance between a note and an inflection (e.g.,
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These scales are used in all of their transpositions. The music of this period introduces
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Scales may be described according to the number of different pitch classes they contain:
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is built using the notes of a single scale, which can be conveniently represented on a
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The scale degrees of a heptatonic (7-note) scale can also be named using the terms
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Explanation of the origin of musical scales clarified by a string division method
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The notes of a scale form intervals with each of the other notes of the chord in
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In many musical circumstances, a specific note of the scale is chosen as the
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Music of the common practice periods (1600–1900) uses three types of scale:
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Scales may also be described by their constituent intervals, such as being
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article for how the notes are customarily named in different countries.
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A large variety of other scales exists, some of the more common being:
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that contains semitones is called hemitonic, and without semitones is
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Burns, Edwaard M. 1998. "Intervals, Scales, and Tuning.", p. 247. In
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is defined by the interval pattern W–W–H–W–W–W–H, where W stands for
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employ scale intervals smaller than a semitone. The blue note is an
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Scales are typically listed from low to high pitch. Most scales are
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but "in the middle", giving it a characteristic flavour. A regular
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are rare, and somewhat unsystematically used, often to avoid the
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The distance between two successive notes in a scale is called a
206: 122: 63: 1138: 936:). Composers also often modulate to other related keys. In some 2095: 2033: 1960: 235: 141: 118: 103: 84: 391:
Scales may also be described by their symmetry, such as being
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is a scale other than the primary or original scale. See:
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D and F also create a third (in this case a minor third).
1393:, pp.7ff. New York: Appleton-Century-Crofts. LOC 58-8138. 969:
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1276:, seventh edition: vol. 1, p. 25. Boston: McGraw-Hill. 1589:"Chinese Music and Musical Traditions of Eastern Asia" 1530:
Wu, Dan; Li, Chao-Yi; Yao, De-Zhong (1 October 2013).
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Scales such as the pentatonic scale may be considered
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In Western music, scale notes are often separated by
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Octave Frequency Sweep, Consonance & Dissonance
733:When we do so, we create a new scale called the A 349:(6 notes per octave): common in Western folk music 1722:Visual representation of scales from WolframTones 1272:Benward, Bruce and Saker, Marilyn Nadine (2003). 1163:) of that same note may be less than a semitone. 915:scale, the pattern C–D–E might be shifted up, or 399:, or having rotational symmetry as in Messiaen's 83:that form a progression between one note and its 27:Ascending or descending sequence of musical tones 3152: 1107:full-octave spanning scales. Among these scales 528:periods (1100–1600) tends to use the white-note 1668:. Latina, Italy: Il Levante Libreria Editrice. 1121:music uses a small variety of scales including 847: 217: 2723: 2355: 1752: 1141:often use intervals smaller than a semitone. 879:. There might be a discussion about this on 1666:Enharmonic Instruments and Music, 1470–1900 98:The word "scale" originates from the Latin 2737: 2730: 2716: 2362: 2348: 2314: 1759: 1745: 2369: 1717:WolframTones—hear and play musical scales 1563: 899:Learn how and when to remove this message 1688:The Complete Thesaurus of Musical Scales 1648:Classical Persian Music: An Introduction 1402: 1097: 453: 221: 209:indicates a major scale with a C tonic. 113:Often, especially in the context of the 1586: 1529: 1038:is often used. In jazz, many different 14: 3153: 1365:Nettl, Bruno, and Helen Myers (1976). 1225: 311:, or dodecatonic (12 notes per octave) 2711: 2343: 1740: 1344:Nzewi, Meki, and Odyke Nzewi (2007), 1045: 1766: 1385: 1383: 1346:A Contemporary Study of Musical Arts 1326:from the original on 15 October 2017 1243: 1241: 1221: 1219: 1050: 851: 667:(a mode of the harmonic minor scale) 700:relative to the diatonic scale. An 406: 24: 1657: 1444:from the original on 9 August 2017 1391:Harmonic Materials of Modern Music 1226:Denyer, Ralph (30 November 1982). 415:. A 5-note scale has 10 of these 25: 3182: 1705: 1380: 1238: 1216: 1009:cannot play blue notes, but with 950: 271: 2324: 2323: 2313: 1189:List of musical scales and modes 1173: 1079:are complementary values of the 856: 809: 483: 431:taken naturally from the scale. 369:(2 notes): generally limited to 1640: 1619: 1580: 1523: 1500: 1491: 1482: 1457: 1367:Folk Music in the United States 1031:or a note moving between both. 66:scale, ascending and descending 1396: 1359: 1338: 1308: 1287: 1266: 458:Scales can be abstracted from 434:A musical scale that contains 401:modes of limited transposition 330:(8 notes per octave): used in 79:is "any consecutive series of 30:For psychoacoustic scale, see 13: 1: 1274:Music: In Theory and Practice 1209: 715: 212: 1408:"Scale Networks and Debussy" 1001:that is technically neither 989:Through the introduction of 966: 848:Transposition and modulation 831:Scales may also be shown as 636: 575: 281: 218:Scales, steps, and intervals 48: 7: 2124:History of music publishing 1664:Barbieri, Patrizio (2008). 1295:Musical Scales of the World 1166: 840:, scales can be notated in 466:. They are also often used 110:interact with each other. 10: 3187: 2501:Ptolemy's intense diatonic 1469:All About Music Theory.com 1297:, pp. 2–3. The Note Tree. 954: 923:and patterns. (It is D–E–F 710:Auxiliary diminished scale 487: 29: 3077: 3045: 3027: 2999: 2941: 2875: 2824: 2787: 2754: 2745: 2704: 2668: 2534: 2418: 2382: 2329:Category:Musical notation 2309: 2273: 2195:Numbered musical notation 2147: 2114: 1994: 1986:Scientific pitch notation 1877: 1774: 1548:10.1007/s12264-013-1334-y 1427:10.1215/00222909-48-2-219 554:The melodic and harmonic 496:traditional Western music 266:scientific pitch notation 102:, which literally means " 87:", typically by order of 2980:descending melodic major 2927:descending melodic minor 1976:Helmholtz pitch notation 1421:(2): 219–294 (254–264). 1293:Hewitt, Michael (2013). 1103:shang, jue, chi and yu. 1066: 654:starting on C, ascending 593:starting on F, ascending 317:(9 notes per octave): a 259: 140:Due to the principle of 2955:ascending melodic minor 2893:ascending melodic major 2319:List of musical symbols 2190:Nashville Number System 1627:The Psychology of Music 1415:Journal of Music Theory 1389:Hanson, Howard. (1960) 971:download the audio file 665:Phrygian dominant scale 641:download the audio file 580:download the audio file 286:download the audio file 53:download the audio file 2966:Lydian augmented (III) 2739:Modes in Western music 1869:Transposing instrument 1587:Van KhĂȘ, TrĂąn (1985). 1512:24 August 2012 at the 1131:Indian classical music 336:modern classical music 323:heptatonic blues scale 230: 226:Diatonic scale in the 115:common practice period 3047:Double harmonic scale 3019:Phrygian dominant (V) 3014:Ukrainian Dorian (IV) 1536:Neuroscience Bulletin 1098:Intra-scale intervals 686:scales (called echoi) 678:Hungarian minor scale 652:Hungarian minor scale 520:Western music in the 454:Scales in composition 225: 117:, most or all of the 93:fundamental frequency 3060:Hungarian minor (IV) 2986:Half diminished (VI) 2976:Aeolian dominant (V) 2572:17 equal temperament 1646:Zonis , Ella. 1973. 1320:www.allthescales.org 869:confusing or unclear 515:harmonic minor scale 3055:Double harmonic (I) 2215:Percussion notation 1228:The Guitar Handbook 1061:twelfth root of two 877:clarify the section 500:whole and half step 373:("primitive") music 242:Bohlen–Pierce scale 3037:Harmonic major (I) 3009:Harmonic minor (I) 2506:Scale of harmonics 1593:The World of Music 1253:www.britannica.com 1046:Non-Western scales 938:Romantic music era 706:modulation (music) 468:precompositionally 231: 160:interval, while a 3148: 3147: 3073: 3072: 2820: 2819: 2609: 2600: 2586: 2584:Escala nordestina 2574: 2567: 2560: 2553: 2496:Phrygian dominant 2337: 2336: 2281:Mensural notation 1697:978-0-9676353-0-9 1684:Yamaguchi, Masaya 1675:978-88-95203-14-0 1375:978-0-8143-1557-6 1354:978-1-920051-62-4 1303:978-0-9575470-0-1 1282:978-0-07-294262-0 1199:Pitch circularity 1077:Musical intervals 1051:Equal temperament 975: 921:musical sequences 909: 908: 901: 801:rather than A–B–D 645: 625:diminished scales 623:The octatonic or 584: 321:variation of the 290: 57: 16:(Redirected from 3178: 2752: 2751: 2732: 2725: 2718: 2709: 2708: 2660:Ukrainian Dorian 2603: 2594: 2582: 2570: 2563: 2556: 2549: 2436:Diminished scale 2364: 2357: 2350: 2341: 2340: 2327: 2326: 2317: 2316: 2180:Graphic notation 1844:Rehearsal letter 1768:Musical notation 1761: 1754: 1747: 1738: 1737: 1701: 1679: 1651: 1644: 1638: 1623: 1617: 1616: 1584: 1578: 1577: 1567: 1527: 1521: 1504: 1498: 1495: 1489: 1486: 1480: 1479: 1477: 1475: 1461: 1455: 1453: 1451: 1449: 1443: 1412: 1404:Tymoczko, Dmitri 1400: 1394: 1387: 1378: 1363: 1357: 1342: 1336: 1335: 1333: 1331: 1316:"All The Scales" 1312: 1306: 1291: 1285: 1270: 1264: 1263: 1261: 1259: 1245: 1236: 1235: 1223: 1183: 1178: 1177: 1176: 1135:seven-note scale 1133:uses a moveable 1057:equally tempered 1036:pentatonic scale 1030: 1029: 946: 945: 935: 934: 928: 927: 904: 897: 893: 890: 884: 860: 859: 852: 820: 819: 814: 813: 806: 805: 800: 799: 794: 793: 788: 787: 618:pentatonic scale 611:whole-tone scale 591:whole tone scale 407:Harmonic content 228:chromatic circle 173: 172: 151:microtonal music 133:with a standard 21: 3186: 3185: 3181: 3180: 3179: 3177: 3176: 3175: 3151: 3150: 3149: 3144: 3078:Number of tones 3069: 3041: 3023: 2995: 2937: 2871: 2816: 2783: 2741: 2736: 2700: 2664: 2625:Hungarian minor 2620:Hungarian major 2551:Double harmonic 2530: 2521:Synthetic scale 2446:Double harmonic 2414: 2378: 2368: 2338: 2333: 2305: 2269: 2143: 2134:Music publisher 2129:Music engraving 2110: 1990: 1981:Letter notation 1873: 1770: 1765: 1708: 1698: 1682: 1676: 1663: 1660: 1658:Further reading 1655: 1654: 1645: 1641: 1624: 1620: 1585: 1581: 1528: 1524: 1514:Wayback Machine 1505: 1501: 1496: 1492: 1487: 1483: 1473: 1471: 1465:"C Major Scale" 1463: 1462: 1458: 1447: 1445: 1441: 1410: 1401: 1397: 1388: 1381: 1364: 1360: 1343: 1339: 1329: 1327: 1314: 1313: 1309: 1292: 1288: 1271: 1267: 1257: 1255: 1247: 1246: 1239: 1232:Alfred A. Knopf 1224: 1217: 1212: 1194:Melodic pattern 1179: 1174: 1172: 1169: 1100: 1073:harmonic series 1069: 1053: 1048: 1027: 1026: 1011:electric guitar 1003:major nor minor 987: 986: 985: 984:on C, ascending 978: 977: 976: 974: 959: 953: 943: 942: 932: 931: 925: 924: 905: 894: 888: 885: 874: 861: 857: 850: 826:chromatic scale 817: 816: 808: 803: 802: 797: 796: 791: 790: 785: 784: 718: 702:auxiliary scale 684:Byzantine music 657: 656: 655: 648: 647: 646: 644: 604:chromatic scale 596: 595: 594: 587: 586: 585: 583: 532:C–D–E–F–G–A–B. 492: 486: 456: 409: 365:(3 notes), and 302: 301: 300: 297:chromatic scale 293: 292: 291: 289: 274: 262: 220: 215: 170: 169: 69: 68: 67: 60: 59: 58: 56: 39: 28: 23: 22: 15: 12: 11: 5: 3184: 3174: 3173: 3168: 3166:Musical tuning 3163: 3161:Musical scales 3146: 3145: 3143: 3142: 3136: 3130: 3124: 3118: 3112: 3106: 3100: 3094: 3088: 3081: 3079: 3075: 3074: 3071: 3070: 3068: 3067: 3062: 3057: 3051: 3049: 3043: 3042: 3040: 3039: 3033: 3031: 3029:Harmonic major 3025: 3024: 3022: 3021: 3016: 3011: 3005: 3003: 3001:Harmonic minor 2997: 2996: 2994: 2993: 2988: 2983: 2973: 2968: 2963: 2961:Dorian ♭2 (II) 2958: 2951:Jazz minor (I) 2947: 2945: 2939: 2938: 2936: 2935: 2930: 2916: 2914:Mixolydian (V) 2911: 2906: 2904:Phrygian (III) 2901: 2896: 2881: 2879: 2873: 2872: 2870: 2869: 2864: 2859: 2854: 2849: 2844: 2839: 2834: 2828: 2826: 2822: 2821: 2818: 2817: 2815: 2814: 2812:Hypomixolydian 2809: 2804: 2799: 2793: 2791: 2785: 2784: 2782: 2781: 2776: 2771: 2766: 2760: 2758: 2749: 2743: 2742: 2735: 2734: 2727: 2720: 2712: 2706: 2702: 2701: 2699: 2698: 2693: 2688: 2683: 2678: 2672: 2670: 2666: 2665: 2663: 2662: 2657: 2655:Romanian major 2652: 2647: 2642: 2637: 2632: 2627: 2622: 2617: 2612: 2611: 2610: 2601: 2589: 2588: 2587: 2577: 2576: 2575: 2568: 2561: 2554: 2544: 2538: 2536: 2532: 2531: 2529: 2528: 2523: 2518: 2516:Synthetic mode 2513: 2508: 2503: 2498: 2493: 2488: 2483: 2478: 2476:Harmonic minor 2473: 2471:Harmonic major 2468: 2463: 2458: 2453: 2448: 2443: 2441:Distance model 2438: 2433: 2428: 2422: 2420: 2416: 2415: 2413: 2412: 2407: 2402: 2397: 2392: 2386: 2384: 2380: 2379: 2371:Musical scales 2367: 2366: 2359: 2352: 2344: 2335: 2334: 2332: 2331: 2321: 2310: 2307: 2306: 2304: 2303: 2298: 2293: 2288: 2283: 2277: 2275: 2271: 2270: 2268: 2267: 2262: 2257: 2252: 2247: 2242: 2237: 2232: 2227: 2222: 2217: 2212: 2207: 2202: 2197: 2192: 2187: 2182: 2177: 2172: 2167: 2162: 2157: 2151: 2149: 2145: 2144: 2142: 2141: 2136: 2131: 2126: 2120: 2118: 2112: 2111: 2109: 2108: 2103: 2098: 2093: 2088: 2083: 2078: 2077: 2076: 2071: 2066: 2061: 2056: 2051: 2041: 2036: 2031: 2026: 2021: 2016: 2011: 2006: 2000: 1998: 1992: 1991: 1989: 1988: 1983: 1978: 1973: 1968: 1963: 1958: 1953: 1948: 1943: 1942: 1941: 1936: 1931: 1921: 1916: 1911: 1906: 1905: 1904: 1899: 1894: 1883: 1881: 1875: 1874: 1872: 1871: 1866: 1861: 1859:Time signature 1856: 1851: 1846: 1841: 1836: 1831: 1826: 1821: 1816: 1811: 1806: 1801: 1796: 1791: 1786: 1780: 1778: 1772: 1771: 1764: 1763: 1756: 1749: 1741: 1735: 1734: 1729: 1724: 1719: 1714: 1707: 1706:External links 1704: 1703: 1702: 1696: 1680: 1674: 1659: 1656: 1653: 1652: 1639: 1618: 1579: 1542:(5): 581–587. 1522: 1520:on furious.com 1499: 1490: 1481: 1456: 1395: 1379: 1358: 1337: 1307: 1286: 1265: 1237: 1234:. p. 104. 1214: 1213: 1211: 1208: 1207: 1206: 1201: 1196: 1191: 1185: 1184: 1168: 1165: 1146:Turkish makams 1099: 1096: 1068: 1065: 1052: 1049: 1047: 1044: 979: 968: 965: 962: 961: 960: 952: 951:Jazz and blues 949: 907: 906: 864: 862: 855: 849: 846: 717: 714: 694: 693: 687: 680: 674: 668: 649: 638: 635: 632: 631: 630: 629: 628: 621: 614: 607: 606:(twelve notes) 588: 577: 574: 571: 570: 569: 560: 559: 552: 549:diatonic scale 530:diatonic scale 485: 482: 477:L'Isle Joyeuse 472:Claude Debussy 455: 452: 442:. A scale or 408: 405: 375: 374: 356: 350: 344: 338: 325: 312: 294: 283: 280: 277: 276: 275: 273: 272:Types of scale 270: 261: 258: 219: 216: 214: 211: 194:, and others. 61: 50: 47: 44: 43: 42: 26: 9: 6: 4: 3: 2: 3183: 3172: 3169: 3167: 3164: 3162: 3159: 3158: 3156: 3140: 3137: 3134: 3131: 3128: 3125: 3122: 3119: 3116: 3113: 3110: 3107: 3104: 3101: 3098: 3095: 3092: 3089: 3086: 3083: 3082: 3080: 3076: 3066: 3063: 3061: 3058: 3056: 3053: 3052: 3050: 3048: 3044: 3038: 3035: 3034: 3032: 3030: 3026: 3020: 3017: 3015: 3012: 3010: 3007: 3006: 3004: 3002: 2998: 2992: 2991:Altered (VII) 2989: 2987: 2984: 2981: 2977: 2974: 2972: 2971:Acoustic (IV) 2969: 2967: 2964: 2962: 2959: 2956: 2952: 2949: 2948: 2946: 2944: 2940: 2934: 2933:Locrian (VII) 2931: 2928: 2924: 2923:natural minor 2920: 2917: 2915: 2912: 2910: 2907: 2905: 2902: 2900: 2897: 2894: 2890: 2889:natural major 2886: 2883: 2882: 2880: 2878: 2874: 2868: 2867:Reciting tone 2865: 2863: 2860: 2858: 2855: 2853: 2850: 2848: 2845: 2843: 2840: 2838: 2835: 2833: 2830: 2829: 2827: 2823: 2813: 2810: 2808: 2805: 2803: 2800: 2798: 2795: 2794: 2792: 2790: 2786: 2780: 2777: 2775: 2772: 2770: 2767: 2765: 2762: 2761: 2759: 2757: 2753: 2750: 2748: 2744: 2740: 2733: 2728: 2726: 2721: 2719: 2714: 2713: 2710: 2707: 2703: 2697: 2696:Bohlen–Pierce 2694: 2692: 2689: 2687: 2684: 2682: 2679: 2677: 2674: 2673: 2671: 2667: 2661: 2658: 2656: 2653: 2651: 2648: 2646: 2643: 2641: 2640:Jewish nusach 2638: 2636: 2633: 2631: 2628: 2626: 2623: 2621: 2618: 2616: 2613: 2608: 2607: 2602: 2599: 2598: 2593: 2592: 2590: 2585: 2581: 2580: 2578: 2573: 2569: 2566: 2562: 2559: 2558:Major Locrian 2555: 2552: 2548: 2547: 2545: 2543: 2540: 2539: 2537: 2535:Ethnic origin 2533: 2527: 2524: 2522: 2519: 2517: 2514: 2512: 2509: 2507: 2504: 2502: 2499: 2497: 2494: 2492: 2491:Major Locrian 2489: 2487: 2484: 2482: 2479: 2477: 2474: 2472: 2469: 2467: 2464: 2462: 2461:Flamenco mode 2459: 2457: 2454: 2452: 2449: 2447: 2444: 2442: 2439: 2437: 2434: 2432: 2429: 2427: 2424: 2423: 2421: 2417: 2411: 2408: 2406: 2403: 2401: 2398: 2396: 2393: 2391: 2388: 2387: 2385: 2381: 2376: 2372: 2365: 2360: 2358: 2353: 2351: 2346: 2345: 2342: 2330: 2322: 2320: 2312: 2311: 2308: 2302: 2301:Transcription 2299: 2297: 2296:Sight-reading 2294: 2292: 2291:Perfect pitch 2289: 2287: 2284: 2282: 2279: 2278: 2276: 2272: 2266: 2263: 2261: 2258: 2256: 2253: 2251: 2248: 2246: 2243: 2241: 2238: 2236: 2233: 2231: 2228: 2226: 2225:Ancient Greek 2223: 2221: 2218: 2216: 2213: 2211: 2208: 2206: 2203: 2201: 2198: 2196: 2193: 2191: 2188: 2186: 2183: 2181: 2178: 2176: 2173: 2171: 2168: 2166: 2165:Chord diagram 2163: 2161: 2158: 2156: 2155:Braille music 2153: 2152: 2150: 2148:Other systems 2146: 2140: 2137: 2135: 2132: 2130: 2127: 2125: 2122: 2121: 2119: 2117: 2113: 2107: 2104: 2102: 2099: 2097: 2094: 2092: 2089: 2087: 2084: 2082: 2079: 2075: 2072: 2070: 2067: 2065: 2062: 2060: 2057: 2055: 2052: 2050: 2047: 2046: 2045: 2042: 2040: 2037: 2035: 2032: 2030: 2027: 2025: 2022: 2020: 2017: 2015: 2012: 2010: 2007: 2005: 2002: 2001: 1999: 1997: 1993: 1987: 1984: 1982: 1979: 1977: 1974: 1972: 1969: 1967: 1964: 1962: 1959: 1957: 1954: 1952: 1949: 1947: 1944: 1940: 1937: 1935: 1932: 1930: 1927: 1926: 1925: 1922: 1920: 1917: 1915: 1912: 1910: 1907: 1903: 1900: 1898: 1895: 1893: 1890: 1889: 1888: 1885: 1884: 1882: 1880: 1879:Musical notes 1876: 1870: 1867: 1865: 1864:Transposition 1862: 1860: 1857: 1855: 1852: 1850: 1847: 1845: 1842: 1840: 1837: 1835: 1832: 1830: 1827: 1825: 1822: 1820: 1819:Key signature 1817: 1815: 1812: 1810: 1807: 1805: 1802: 1800: 1797: 1795: 1792: 1790: 1787: 1785: 1782: 1781: 1779: 1777: 1773: 1769: 1762: 1757: 1755: 1750: 1748: 1743: 1742: 1739: 1733: 1730: 1728: 1725: 1723: 1720: 1718: 1715: 1713: 1710: 1709: 1699: 1693: 1689: 1685: 1681: 1677: 1671: 1667: 1662: 1661: 1649: 1643: 1636: 1635:0-12-213564-4 1632: 1628: 1622: 1614: 1610: 1606: 1602: 1598: 1594: 1590: 1583: 1575: 1571: 1566: 1561: 1557: 1553: 1549: 1545: 1541: 1537: 1533: 1526: 1519: 1515: 1511: 1508: 1503: 1494: 1485: 1470: 1466: 1460: 1440: 1436: 1432: 1428: 1424: 1420: 1416: 1409: 1405: 1399: 1392: 1386: 1384: 1376: 1372: 1368: 1362: 1355: 1351: 1347: 1341: 1325: 1321: 1317: 1311: 1304: 1300: 1296: 1290: 1283: 1279: 1275: 1269: 1254: 1250: 1244: 1242: 1233: 1229: 1222: 1220: 1215: 1205: 1202: 1200: 1197: 1195: 1192: 1190: 1187: 1186: 1182: 1171: 1164: 1162: 1158: 1154: 1151: 1147: 1144: 1143:Turkish music 1140: 1136: 1132: 1128: 1124: 1120: 1116: 1114: 1110: 1104: 1095: 1093: 1089: 1085: 1082: 1078: 1074: 1064: 1062: 1058: 1043: 1041: 1037: 1032: 1024: 1020: 1016: 1012: 1008: 1004: 1000: 996: 992: 983: 972: 958: 948: 939: 922: 918: 914: 903: 900: 892: 882: 881:the talk page 878: 872: 870: 865:This section 863: 854: 853: 845: 843: 839: 834: 829: 827: 822: 812: 781: 779: 775: 771: 767: 763: 759: 755: 751: 747: 742: 740: 736: 731: 727: 723: 713: 711: 707: 703: 699: 692: 691:Persian scale 688: 685: 681: 679: 675: 673: 672:Arabic scales 669: 666: 662: 661: 660: 653: 642: 627:(eight notes) 626: 622: 619: 615: 612: 608: 605: 601: 600: 599: 592: 581: 568: 565: 558:(seven notes) 557: 553: 550: 546: 545: 544: 541: 539: 535: 531: 527: 523: 518: 516: 512: 508: 504: 501: 497: 491: 484:Western music 481: 479: 478: 473: 469: 465: 461: 451: 449: 445: 441: 437: 432: 430: 426: 422: 418: 414: 404: 402: 398: 394: 389: 386: 384: 380: 372: 368: 364: 360: 357: 354: 351: 348: 345: 342: 339: 337: 333: 329: 326: 324: 320: 316: 313: 310: 307: 306: 305: 298: 287: 269: 267: 257: 253: 251: 246: 243: 239: 237: 229: 224: 210: 208: 204: 200: 195: 193: 189: 185: 181: 177: 167: 163: 159: 154: 152: 148: 143: 138: 136: 135:key signature 132: 128: 124: 120: 116: 111: 109: 105: 101: 96: 94: 90: 86: 82: 78: 74: 65: 54: 41: 37: 33: 19: 18:Musical scale 3171:Music theory 3065:Oriental (V) 2919:Aeolian (VI) 2802:Hypophrygian 2604: 2595: 2565:Quarter tone 2383:Main Western 2370: 2200:Klavarskribo 2175:Figured bass 2049:Appoggiatura 1996:Articulation 1838: 1794:Abbreviation 1687: 1665: 1647: 1642: 1626: 1621: 1599:(1): 78–90. 1596: 1592: 1582: 1539: 1535: 1525: 1518:Yuri Landman 1502: 1493: 1484: 1474:12 September 1472:. Retrieved 1468: 1459: 1446:. Retrieved 1418: 1414: 1398: 1390: 1366: 1361: 1345: 1340: 1328:. Retrieved 1319: 1310: 1294: 1289: 1273: 1268: 1256:. Retrieved 1252: 1230:. New York: 1227: 1204:Shepard tone 1181:Music portal 1157:quarter tone 1150:Arabic music 1117: 1105: 1101: 1070: 1054: 1034:In blues, a 1033: 988: 980:A hexatonic 910: 895: 886: 875:Please help 866: 830: 823: 782: 774:leading-tone 743: 739:musical note 730:scale degree 719: 701: 697: 695: 658: 620:(five notes) 597: 563: 561: 556:minor scales 542: 519: 510: 506: 493: 490:Musical mode 475: 457: 439: 433: 410: 390: 387: 376: 303: 263: 254: 247: 234: 232: 196: 155: 139: 127:musical work 112: 99: 97: 76: 73:music theory 70: 40: 2909:Lydian (IV) 2899:Dorian (II) 2857:Hypolocrian 2847:Hypoaeolian 2419:Other types 2286:Music stand 2160:Chord chart 2139:Scorewriter 2116:Sheet music 1914:Dotted note 1849:Repeat sign 1824:Ledger line 1727:ScaleCoding 1109:Hejaz scale 993:, jazz and 982:blues scale 957:Jazz scales 889:August 2018 838:bass guitar 758:subdominant 735:minor scale 726:major scale 613:(six notes) 564:modulation, 534:Accidentals 526:Renaissance 464:composition 460:performance 448:anhemitonic 413:combination 393:palindromic 383:cohemitonic 371:prehistoric 361:(4 notes), 299:, ascending 162:major scale 3155:Categories 3121:Heptatonic 3109:Pentatonic 3103:Tetratonic 2943:Jazz minor 2885:Ionian (I) 2862:Pentatonic 2837:Hypoionian 2807:Hypolydian 2797:Hypodorian 2779:Mixolydian 2669:Non-octave 2645:Neapolitan 2526:Whole tone 2486:Jazz minor 2451:Enharmonic 2400:Pentatonic 2260:Shakuhachi 2235:Ekphonetic 2220:Simplified 2185:Lead sheet 2059:Grace note 1924:Note value 1919:Grace note 1887:Accidental 1210:References 1113:Saba scale 991:blue notes 955:See also: 917:transposed 871:to readers 842:tabulature 766:submediant 750:supertonic 737:. See the 716:Note names 511:semitones. 494:Scales in 488:See also: 359:Tetratonic 353:Pentatonic 341:Heptatonic 250:scale step 238:-repeating 213:Background 176:pentatonic 166:whole step 32:bark scale 3139:Chromatic 3133:Decatonic 3127:Octatonic 3115:Hexatonic 3085:Monotonic 2756:Authentic 2747:Gregorian 2511:Symmetric 2456:Enigmatic 2410:Chromatic 2255:Swaralipi 2245:Kunkunshi 2205:Tablature 2170:Eye music 2054:Glissando 2029:Fingering 1814:Dal segno 1605:0043-8774 1556:1995-8218 1435:0022-2909 1137:. Indian 1092:Indochina 1088:Indonesia 1084:overtones 1015:saxophone 833:semitones 503:intervals 440:atritonic 379:hemitonic 347:Hexatonic 328:Octatonic 319:chromatic 315:Nonatonic 309:Chromatic 184:chromatic 108:intervals 36:mel scale 3097:Tritonic 2877:Diatonic 2769:Phrygian 2635:Japanese 2591:Gamelan 2542:Algerian 2466:Harmonic 2405:Diatonic 2265:Znamenny 2106:Tonguing 2091:Staccato 2044:Ornament 2019:Dynamics 1971:Interval 1934:Notehead 1909:Cue note 1686:(2006). 1613:43562680 1574:23604597 1510:Archived 1439:Archived 1406:(2004). 1369:, p.39. 1330:28 April 1324:Archived 1167:See also 1155:may use 1090:and the 1081:harmonic 1028:♯ 1019:trombone 999:interval 944:♯ 933:♯ 926:♯ 818:♯ 804:♭ 798:♯ 792:♯ 786:♯ 770:subtonic 762:dominant 522:Medieval 436:tritones 417:harmonic 363:tritonic 180:diatonic 171:♭ 158:semitone 147:interval 3091:Ditonic 2852:Locrian 2842:Aeolian 2650:Persian 2630:Istrian 2606:Slendro 2579:Brazil 2546:Arabic 2274:Related 2240:Gamelan 2230:Chinese 2210:Parsons 2081:Portato 2064:Mordent 2039:Marcato 2024:Fermata 2014:Damping 2009:Caesura 1966:Tremolo 1897:natural 1809:Da capo 1565:5561954 1448:18 July 1258:25 June 1153:maqamat 1127:SlĂ©ndro 1119:Gamelan 1023:trumpet 947:major. 913:C major 867:may be 778:solfĂšge 754:mediant 538:tritone 367:ditonic 207:C major 123:harmony 64:C major 2832:Ionian 2789:Plagal 2774:Lydian 2764:Dorian 2096:Tenuto 2034:Legato 2004:Accent 1961:Tuplet 1694:  1672:  1633:  1611:  1603:  1572:  1562:  1554:  1433:  1373:  1352:  1301:  1280:  807:–D–E–E 789:–D–E–F 698:gapped 429:chords 397:chiral 236:octave 199:degree 142:octave 119:melody 104:ladder 85:octave 2825:Other 2705:Modes 2691:Delta 2686:Gamma 2676:Alpha 2615:Gypsy 2597:Pelog 2431:Blues 2426:Bebop 2395:Minor 2390:Major 2250:Neume 2074:Trill 2069:Slide 1956:Tacet 1946:Pitch 1902:sharp 1854:Tempo 1839:Scale 1834:Ossia 1776:Staff 1609:JSTOR 1442:(PDF) 1411:(PDF) 1161:ƛruti 1139:Rāgas 1123:PĂ©log 1067:Other 1040:modes 1007:piano 995:blues 746:tonic 722:tonic 507:tones 444:chord 421:chord 260:Pitch 203:tonic 192:minor 188:major 131:staff 125:of a 100:scala 89:pitch 81:notes 77:scale 3141:(12) 3135:(10) 2925:and 2891:and 2681:Beta 2481:Jazz 2375:list 2086:Slur 1951:Rest 1939:stem 1929:beam 1892:flat 1829:Mode 1804:Clef 1692:ISBN 1670:ISBN 1631:ISBN 1601:ISSN 1570:PMID 1552:ISSN 1476:2022 1450:2017 1431:ISSN 1371:ISBN 1350:ISBN 1332:2018 1299:ISBN 1278:ISBN 1260:2024 1148:and 1125:and 1021:and 708:and 689:The 682:The 676:The 670:The 663:The 650:The 616:The 609:The 602:The 589:The 547:The 524:and 513:The 509:and 334:and 332:jazz 295:The 201:(or 121:and 75:, a 62:The 34:and 3129:(8) 3123:(7) 3117:(6) 3111:(5) 3105:(4) 3099:(3) 3093:(2) 3087:(1) 2101:Tie 1799:Bar 1560:PMC 1544:doi 1516:by 1423:doi 505:of 474:'s 462:or 425:key 95:. 91:or 71:In 3157:: 1789:15 1607:. 1597:27 1595:. 1591:. 1568:. 1558:. 1550:. 1540:29 1538:. 1534:. 1467:. 1437:. 1429:. 1419:48 1417:. 1413:. 1382:^ 1322:. 1318:. 1251:. 1240:^ 1218:^ 1075:. 1017:, 1013:, 815:–G 795:–G 768:, 764:, 760:, 756:, 752:, 748:, 712:. 540:. 450:. 403:. 395:, 381:, 252:. 190:, 186:, 182:, 178:, 137:. 2982:) 2978:( 2957:) 2953:( 2929:) 2921:( 2895:) 2887:( 2731:e 2724:t 2717:v 2377:) 2373:( 2363:e 2356:t 2349:v 1784:8 1760:e 1753:t 1746:v 1700:. 1678:. 1637:. 1615:. 1576:. 1546:: 1478:. 1454:. 1452:. 1425:: 1377:. 1356:. 1334:. 1305:. 1284:. 1262:. 973:. 941:F 902:) 896:( 891:) 887:( 883:. 643:. 582:. 288:. 55:. 38:. 20:)

Index

Musical scale
bark scale
mel scale
download the audio file
C major
music theory
notes
octave
pitch
fundamental frequency
ladder
intervals
common practice period
melody
harmony
musical work
staff
key signature
octave
interval
microtonal music
semitone
major scale
whole step
pentatonic
diatonic
chromatic
major
minor
degree

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