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Quartal and quintal harmony

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371: 850:) he wrote that "notes have a family of relationships, that are the bindings of tonality, in which the ranking of intervals is unambiguous," so much so, indeed, that in the art of triadic composition "...the musician is bound by this, as the painter to his primary colours, the architect to the three dimensions." He lined up the harmonic and melodic aspects of music in a row in which the octave ranks first, then the fifth and the third, and then the fourth. "The strongest and most unique harmonic interval after the octave is the fifth, the prettiest nevertheless is the third by right of the chordal effects of its 2593: 2304: 776: 2058: 926: 692: 5081: 4392: 5091: 1296: 1277: 1087: 1334: 1051: 625: 1493: 1494: 748: 1495: 260: 1401:
fingering would be impracticable, the first on Hammond organ and the second on Modular Moog, in a similar manner to the mutation stops on pipe organs, such as the "Twelfth" at 2 2/3' pitch played against a 4' "Principal" (which plays the eighth note). In the second instance, the triad is both quartal and quintal, being 1+4+5.
652:; hence, such construction does manifest a possibility for dealing systematically with those harmonic phenomena that already exist in the works of some of us: seven, eight, nine, ten, eleven, and twelve-part chords
 But the quartal construction makes possible, as I said, accommodation of all phenomena of harmony. 138: 1017: 1074:
writing in which two melodic instruments (commonly trumpet and saxophone) may proceed in fourths, while the piano (as a uniquely harmonic instrument) lays down chords, but sparsely, only hinting at the intended harmony. This style of writing, in contrast with that of the previous decade, preferred a
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Jazz is often understood as a synthesis of the European common practice harmonic vocabulary with textural paradigms from West African folk music—but it would be an oversimplification to describe jazz as sharing the same fundamental theory of harmony as European music. Important influences come from
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pattern, in this case consisting of three broken quartal three-note chords, the first two of which are also a perfect fourth apart, and the third a semitone higher than the first. Keith Emerson uses programmatic quintal harmony in several places for extended rapid obbligato passages where human
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Thus when the m11 and the dominant 7th sus (9sus above) chords in quartal voicings are used together they tend to "blend into one overall sound" sometimes referred to as modal voicings, and both may be applied where the m11 chord is called for during extended periods such as the entire chorus.
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as well as from the instrumental work of Classical- and Romantic-era composers, and even that of the Impressionists. From the beginning, jazz musicians expressed a particular interest in rich harmonic colours, for which non-tertiary harmony was a means of exploration, as used by pianists and
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From the outset of the 1960s, the employment of quartal possibilities had become so familiar that the musician now felt the fourth chord existed as a separate entity, self standing and free of any need to resolve. The pioneering of quartal writing in later jazz and rock, like the pianist
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Despite the layering of fourths, it is rare to find musicologists identifying this chord as "quartal harmony" or even as "proto-quartal harmony", since Wagner's musical language is still essentially built on thirds, and even an ordinary
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The composer then picks out this vertical quartal harmony in a horizontal sequence of fourths from the horns, eventually leading to a passage of triadic quartal harmony (i.e., chords of three notes, each layer a fourth apart).
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The bottom two notes make up an augmented fourth, while the upper two make up a perfect fourth. This layering of fourths in this context has been seen as highly significant. The chord had been found in earlier works, notably
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chord can be laid out as augmented fourth plus perfect fourth (F–B–D–G). Wagner's unusual chord is really a device to draw the listener into the musical-dramatic argument which the composer is presenting to us.
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of old European music, and they became firmly situated in their compositional process. Jazz was well-suited to incorporate the medieval use of fourths to thicken lines into its improvisation. The pianists
785: 1308: 942: 374: 615: 375: 1043: 660:, the importance of quartal harmony lay in the possibility of building new sounds. After hearing Schoenberg's Chamber Symphony, Webern wrote "You must write something like that, too!" 1028: 712: 1175:—however, all in a traditional manner, as major 9th, 13th and minor 11th chords (an octave and fourth equals an 11th). Jazz guitarists cited as using modern quartal harmony include 763: 875: 805:
by means of fourth and fifth intervals. These steps are a restructuring of fourth chords (C–D–G becomes the fourth chord D–G–C), or other mixtures of fourths and fifths (D
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was another keyboard player and composer who put classical and jazz elements, including quartal harmonies, into the service of rock music. The keyboard solo of "
764: 1305: 944: 580:(1906) displays quartal harmony: the first measure and a half construct a five-part fourth chord with the notes (highlighted in red in the illustration) A–D 3766: 2173: 1040: 521:(1897) has a rising repetition in fourths, as the tireless work of out-of-control walking brooms causes the water level in the house to "rise and rise". 1312:
They are often ambiguous as, for example, the Dm11 and G9sus chords are here voiced identically and will thus be distinguished for the listener by the
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distributed over the five stringed instruments (the viola must tune down the lowest string by a minor third, and read in the unfamiliar tenor clef).
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imply a contrast, either compositional or perceptual, with traditional harmonic constructions based on thirds: listeners familiar with music of the
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Archibald, Bruce (1969). "Variations for Cello and Orchestra (1966) by Walter Piston; Concerto for Clarinet and Orchestra (1967) by Walter Piston;
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Disliking the sound of thirds (in equal-temperament tuning), Robert Fripp builds chords with perfect intervals in his new standard tuning.
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From Africa to Afrocentric Innovations Some Call "Jazz": The Creation of Free, Fusion and Reconstructive Modern Styles (1950–2000)
4630: 2010: 954:'s "Edinburgh in August", the opening section is made up entirely of quartal chords, which also appear frequently in the piece. 1786: 4296: 3744: 3710: 3682: 3632: 3559: 3410: 3274: 3231: 3172: 2999: 2913: 243:. Because of this relationship, any quartal chord can be rewritten as a quintal chord by changing the order of its pitches. 1075:
moderate tempo. Thin-sounding unison bebop horn sections occur frequently, but these are balanced by bouts of very refined
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altered fourth chords descend chromatically in the right hand with a chromatic scale leading upward in the left hand.
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Scott, Ann Besser (1994). "Medieval and Renaissance Techniques in the Music of Charles Ives: Horatio at the Bridge?"
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The construction of chords by superimposing fourths can lead to a chord that contains all the twelve notes of the
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Schoenberg was also one of the first to write on the theoretical consequences of this harmonic innovation. In his
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Vertical quartal-harmony in the string parts of the opening measures of Arnold Schoenberg's Chamber Symphony Op. 9
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also came into being, in which quartal harmony had extensive use, owing to the wandering nature of its harmony.
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Domek, Richard C. (1979). "Some Aspects of Organization in Schoenberg's Book of the Hanging Gardens, opus 15".
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Leyva, Jesse (2010). "Carlos ChĂĄvez: An Examination of His Compositional Style with a Conductor's Analysis of
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Quartal harmony in Hindemith's Flute Sonata, II with tonal center on B established by descent in left hand in
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constructed with familiar elements: the chords that make up major and minor scales, all in turn built from
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show that he intended to develop the Mystic chord into a huge chord incorporating all twelve notes of the
4691: 3990: 3152: 1876: 1429: 1281: 1144:–influenced John Coltrane added classically trained pianists Bill Evans and McCoy Tyner to his ensemble. 438: 370: 259: 137: 112: 75: 313:, all intervallic relationships were once again reassessed. Quartal harmony was developed in the early 5084: 4659: 1020: 801: 4093: 3204:
Lambert, J. Philip (1990). "Interval Cycles as Compositional Resources in the Music of Charles Ives".
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At the beginning of the 20th century, quartal harmony finally became an important element of harmony.
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Lambert, J. Phillip (1996). "Ives and Berg: 'Normative' Procedures and Post-Tonal Alternatives". In
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used quartal and quintal harmony in "Dawntreader", and she used quintal harmony in the title track
1474:(Symphony No. 2), the A-minor Sonora melody beginning in b. 183 is accompanied by quartal harmonies 1246: 911: 205: 5072: 4143: 3811: 3791: 1571: 1269:
are two musicians well known for their modal experimentation. Around this time, a style known as
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models as they were "discovered" by jazz. Musicians began to work extensively with the so-called
445: 266: 231:(the harmonic layering of fifths specifically) is a lesser-used term, and since the fifth is the 144: 119: 108:. For instance, a three-note quintal chord on C can be built by stacking perfect fifths, C–G–D. 82: 2182:, Chapter 26: Materials and techniques, Chord structures, Quartal and secundal harmony, 469–470. 1112:
used a chord consisting of three perfect fourth intervals and a major third on the composition "
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passages, often passing between systems, for example widening the six-note quartal sonority (C–F
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Scriabin wrote this chord in his sketches alongside other quartal passages and more traditional
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Chords by perfect fourth are ambiguous in that, like all chords built by equidistant intervals (
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Arnold Schoenberg: VerklÀrte Nacht; Chamber Symphony; Variations; 5 Pieces; 6 Songs; Erwartung
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Hindemith was, however, not a proponent of an explicit quartal harmony. In his 1937 writing
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as Arranged for Concert Band by Frank Erickson". DMA diss. Tempe: Arizona State University.
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depends on quartal harmony throughout, including a recurrent elaboration on the classical
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Lewis, Robert Hall (1985). "New Music Festival 1985: Bowling Green State University".
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Kulp, Jonathan (2006). "Carlos Guastavino: A Re-Evaluation of His Harmonic Language".
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Program notes for Arnold Schoenberg's Chamber Symphony for 15 Solo Instruments, Op. 9
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Like tertian chords, a given quartal or quintal chord can be written with different
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Reisberg, Horace (1975). "The Vertical Dimension in Twentieth-Century Music". In
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Six-note horizontal fourth chord in Arnold Schoenberg's Chamber Symphony Op. 9
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Murphy, Howard Ansley, Robert A. Melcher, and Willard F. Warch, eds. (1973).
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Carr, Cassandra I. (1989). "Charles Ives's Humor as Reflected in His Songs".
1924: 1903: 1830: 1677: 1649: 1629: 1566: 1479: 1253: 1210: 1190: 1180: 1160: 1133: 1129: 1117: 1091: 1059: 723: 395: 326: 298: 216:. The indifference of this rootless harmony to tonality places the burden of 97: 4755: 3009: 1147:
Jazz guitarists cited as using chord voicings using quartal harmony include
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used a self-developed system of transposition using fourth-chords, like his
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Quartal harmony was also explored as a possibility under new experimental
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of the 1950s made new applications of quartal harmony accessible to jazz.
289:(between about 1600 and 1900), this interval came to be heard either as a 4972: 4957: 4609: 4604: 4579: 4574: 4433: 4301: 4281: 4235: 4176: 4060: 4055: 1954: 1894: 1856: 1747: 1266: 1226: 1194: 1168: 1156: 1125: 1105: 1010: 1002: 862: 217: 190: 186: 3627:, second expanded edition. Princeton, New Jersey: Summy-Birchard Music. 5022: 5012: 4982: 4715: 4599: 4443: 4423: 4186: 3964: 3915: 3620: 1705: 1439: 1202: 1152: 1109: 1016: 994: 963: 673: 542: 512: 498: 182: 155: 1292:, and specifically quartal harmony was referred to as fourth voicing. 5007: 4927: 4810: 4584: 4207: 3887: 3807: 3583:
King Midas; A Cantata for Voices and Piano on 10 Poems of Howard Moss
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Rocking the Classics: English Progressive Rock and the Counterculture
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Dickinson, Peter (1963). "Suite for Piano No 3 by Nikos Skalkottas".
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Arnold Schoenberg's Woodwind Quintet, Op. 26: Background and Analysis
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have written these harmonies (fourth chords), but also the Hungarian
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Arranging Music for the Real World: Classical and Commercial Aspects
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On the Discipline of Craft and Art: An Interview with Robert Fripp
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In jazz, the way chords were built from a scale came to be called
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Murphy, Scott (2008). "A Composite Approach to Ives's 'Cage'".
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in the stacked fourths (not all perfect) of his 1891 score for
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Structure & Style: The Study and Analysis of Musical Forms
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tuning, which is used by non-experimental guitars. Of course,
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Tonal Harmony with an Introduction to Twentieth-Century Music
2641: 2396: 1363:. Fripp dislikes minor thirds and especially major thirds in 1132:'s "classic quartet", was influential throughout this epoch. 1050: 973: 358: 38: 3182:
Kroeger, Karl (1969). "Caspar Diethelm: Klaviersonate VII".
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Le fils des Ă©toiles, Chaldean pastoral, 3 preludes for piano
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Composers who use the techniques of quartal harmony include
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as a result of this breakdown and reevaluation of tonality.
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Regarding chords built from perfect fourths alone, composer
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Der Tristan-Akkord und die Krise der modernen Harmonielehre
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Introduction aux accords de quartes chez Arnold Schoenberg
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Kasilag, Lucrecia R. (2001). "Pajaro, Eliseo (Morales)".
2761: 2350: 2348: 2346: 2137: 1968: 1116:". This particular voicing is sometimes referred to as a 524: 444:
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Twentieth-century Harmony: Creative Aspects and Practice
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with fourth voicings: all chords are in fourth voicings.
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Hindemith constructed large parts of his symphonic work
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of the fourth, it is usually considered indistinct from
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Notes in a quartal chord on A can be arranged to form a
3067:. Oakland, California: University of California Press. 2925:: Copland, Hollywood, and American Musical Modernism". 2773: 2629: 2532: 2530: 2528: 2526: 2524: 2522: 2227: 2212: 2161: 484:–E–A–D–G). Scriabin's sketches for his unfinished work 3016: 2695: 2343: 2321: 2319: 2251: 2103: 2101: 2099: 2097: 2070: 3029:(1956). "Current Chronicle: United States: New York" 2797: 2785: 2713: 2677: 2653: 2617: 2605: 2554: 2542: 2480: 2270: 2268: 2266: 2197: 3376:(1987). "Las sinfonías de Carlos Chávez." (part 2). 3305:
Morrison, S. (1998). "Skryabin and the Impossible".
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Moe, Orin (1981–82). "The Songs of Howard Swanson".
2749: 2519: 2331: 2239: 2701: 2468: 2444: 2432: 2420: 2384: 2372: 2316: 2185: 2125: 2094: 740:used quartal chords in his song "The Cage" (1906). 672:: "Besides myself my students Dr. Anton Webern and 30:"Fourth chord" redirects here. For other uses, see 3398: 3262: 2456: 2292: 2280: 2263: 2082: 2046: 406:, a notion which was soon after to be explored by 3762:Quartal harmony with notes and listening examples 3640:Swayne, Steve (2002). "Sondheim's Piano Sonata". 2903: 2889:Villa-Lobos: The Search for Brazil's Musical Soul 2833: 2665: 2155: 2028: 1466:(Symphony No. 1), uses quartal harmony throughout 5107: 3677:. Oxford and New York: Oxford University Press. 3466:"John Williams' Superman Theme (Superman March)" 3359:Music and Discourse: Toward a Semiology of Music 3269:. Oxford and New York: Oxford University Press. 3159: 2179: 751:Quartal harmony in "Laideronnette" from Ravel's 3806: 3324:20 (January): 88–103 (accessed 8 January 2013). 3145:The New Grove Dictionary of Music and Musicians 910:may be mentioned. In the first movement of his 779:Introduction to Charles Ives's "The Cage" from 3600:". Solomonsmusic.net (accessed 18 March 2016). 2952: 2572: 1500:Parallel fourths evoking organum in Debussy's 1351:Quartal and quintal harmony have been used by 4667: 4017: 3792: 3308:Journal of the American Musicological Society 3285:Mermikides, Milton (2014). "Extreme Guitar". 3017:Corson, Langdon, and Roy Christensen (1984). 1687: : "Mouvt de Marche" of "Laideronnette" 1418: 1379:having perfect fifths between its successive 3378:Pauta: Cuadernos de teorĂ­a y crĂ­tica musical 3393: 2040: 1136:was also known for his use of fourth chord 4674: 4660: 4024: 4010: 3799: 3785: 3543: 3520: 3516:(3rd ed.). Vienna: Universal Edition. 3508: 3487:". University of Minnesota Duluth website 3340:Music for Study: A Source Book of Excerpts 3284: 3186:, second series 26, no. 2 (December): 363. 2904:Benward, Bruce, and Nadine Saker (2009). 2827: 2143: 2119: 3772:The Use of Quartal Harmony in Jazz Guitar 3670: 3580: 3495: 3463: 3444: 3113: 3082:Quartal Harmony & Voicings for Guitar 3039: 2965: 2879:, second series 25, no. 4 (June): 824–26. 2868: 2815: 2803: 2791: 2719: 2659: 2623: 2611: 2587: 847: 3737:Hard Bop, Jazz and Black Music 1955–1965 3643:Journal of the Royal Musical Association 3549: 3427: 3304: 3215:Charles Ives and the Classical Tradition 3059: 2989: 2779: 2743: 2635: 2513: 2414: 2366: 2257: 2233: 2221: 2167: 2076: 2064: 1491: 1332: 1294: 1275: 1085: 1049: 1015: 906:As a transition to the history of jazz, 856: 774: 746: 690: 623: 606: 3595: 3389:. Westport and London: Greenwood Press. 3315: 3212: 3203: 3181: 3167:(7th ed.). New York: McGraw-Hill. 3163:; Payne, Dorothy; AlmĂ©n, Byron (2013). 3142: 2883: 2767: 2683: 2548: 2486: 2426: 2354: 2310: 2191: 2088: 2011:Traditional sub-Saharan African harmony 14: 5108: 3658: 3639: 3615:, second series 34, no. 4 (June): 974. 3604: 3591:, second series 28, no. 4 (June): 782. 3384: 3328: 3293: 3221: 3125: 3096: 3025: 2955:Sonatina for flute & piano, Op. 76 2755: 2731: 2560: 2498: 2462: 2450: 2245: 2206: 2131: 2107: 1644:Sonatina for flute & piano, Op. 76 525:20th- and 21st-century classical music 4655: 4005: 3780: 3739:. New York: Oxford University Press. 3650: 3619: 3569: 3482: 3372: 3260: 3251: 3240: 3079: 3050: 2855: 2839: 2707: 2671: 2647: 2536: 2390: 2378: 2337: 2325: 2274: 2052: 96:is harmonic structure preferring the 27:Types of harmonic structures in music 3226:. Petaluma, California: Sher Music. 3190: 2978: 2935: 2920: 2474: 2438: 2402: 2298: 2286: 472:–E–A–D) into a seven-note chord (C–F 4681: 3199:27, no. 2 (Autumn-Winter): 196–219. 1434:Sonata for Alto Saxophone and Piano 884:The works of the Filipino composer 24: 3693: 2501:, 179, 181, 183, 185–186, 190–191. 924: 224:with the most active melodic line. 212:), any member can function as the 25: 5127: 3755: 3581:Sjoerdsma, Richard Dale (1972). " 3387:Howard Hanson: A Bio-Bibliography 3197:Revista de MĂșsica Latinoamericana 1094:uses three intervals of a fourth. 5089: 5080: 5079: 4390: 3464:Richards, Mark (15 July 2013b). 3445:Richards, Mark (9 March 2013a). 3247:24, no. 1 (Fall–Winter): 440–43. 1303: 1038: 1023: 962:Problems playing this file? See 940: 872: 844:The Craft of Musical Composition 783: 761: 710: 612: 372: 353:and is the first chord heard in 3155:. London: Macmillan Publishers. 2600:Murphy, Melcher, and Warch 1973 1726:The Book of the Hanging Gardens 742: 4953:Modes of limited transposition 3931:Emancipation of the dissonance 3380:6, no. 22 (April–June): 81–91. 3084:. Pacific, Missouri: Mel Bay. 2994:. Pacific, Missouri: Mel Bay. 2966:Carpenter, Alexander (n.d.). " 2953:Cardew-Fanning, Neil (n.d.). " 2180:Kostka, Payne & AlmĂ©n 2013 835:in measure 3 of the example). 13: 1: 3833:Mode of limited transposition 3483:Rubin, Justin Henry (2005). " 3430:Aspects of 20th Century Music 2016: 1736:, Op. 9) slow section, b. 1–3 1669:"Kvartit" (Fourths), Op. 42, 1328: 1280:Fourths in Herbie Hancock's " 568: 320: 130: 3297:Black Music Research Journal 2906:Music in Theory and Practice 1634:String Quartet No. 2, Adagio 1423: 441: 297:requiring resolution in the 262: 140: 115: 78: 32:Eleventh chord § Fourth 7: 5003:Quartal and quintal harmony 4692:List of modernist composers 3991:List of atonal compositions 3960:Quartal and quintal harmony 3705:. Bloomington: Frangipani. 3662:(1963). Willi Reich (ed.). 3576:78, no. 3 (Autumn): 448–78. 3521:Schoenberg, Arnold (1978). 3193:Latin American Music Review 3126:Hester, Karlton E. (2000). 2931:23, no. 4 (Winter): 426–72. 2696:Corson and Christensen 1984 1989: 1572:Symphony No. 2 ("Romantic") 10: 5132: 4114:Dominant seventh flat five 4031: 3728:, Paris, www.academia.edu. 3674:The Music of Joni Mitchell 3550:Scivales, Ricardo (2005). 3496:Sanderson, Blair (n.d.). " 3405:. New York: W. W. Norton. 3287:Guitar Techniques magazine 3208:12, no. 1 (Spring): 43–82. 3035:42, no. 2 (April): 240–44. 2985:7, no. 2 (Summer): 123–39. 2873:(1967) by Walter Piston". 2864:. Analysis and guitar tab. 1941:Emerson, Lake & Palmer 1419:Examples of quartal pieces 1394:Emerson, Lake & Palmer 1340: 802:Symphony: Mathis der Maler 276: 49:structures built from the 29: 5067: 5046: 4916: 4876: 4705: 4698: 4689: 4618: 4567: 4527: 4499: 4461: 4409: 4399: 4388: 4345: 4259: 4221: 4167: 4084: 4046: 4039: 3983: 3901: 3856: 3818: 3671:Whitesell, Lloyd (2008). 3664:The Path to the New Music 3596:Solomon, Larry J. 2003. " 3491:(accessed 26 April 2012). 3385:Perone, James E. (1993). 3244:Perspectives of New Music 3055:19, no. 2 (Fall): 111–28. 3046:104, no. 1443 (May): 357. 1850: 1128:'s work with saxophonist 695:Fourths in BĂ©la BartĂłk's 663: 518:The Sorcerer's Apprentice 329:is made up of the notes F 206:diminished seventh chords 3701:Baker, David N. (1983). 3605:Spieth, Donald (1978). " 3552:Jazz Piano—The Left Hand 3261:Macan, Edward L (1997). 3065:Sound Structure in Music 3021:. Nashville: Gasparo Co. 2990:Corozine, Vince (2002). 1917:On her 1968 debut album 1599:Central Park in the Dark 1561:"Donde habite el olvido" 1373:new standard tuning 1098:On his watershed record 757:. The top line uses the 4631:Chord names and symbols 3609:by Walter S. Hartley". 3598:Satie, the First Modern 3331:Twentieth-Century Music 3119:Unterweisung im Tonsatz 3097:Herder, Ronald (1987). 3053:College Music Symposium 2938:Jazz Chord Progressions 2871:Ricercare for Orchestra 1934: 1912: 1658:Ricercare for Orchestra 1518:", beginning and ending 1516:La cathĂ©drale engloutie 1502:La cathĂ©drale engloutie 1444:Sonata for Piano, Op. 1 917: 840:Unterweisung im Tonsatz 736:(1910), while American 726:used quartal chords in 446:download the audio file 267:download the audio file 145:download the audio file 120:download the audio file 83:download the audio file 5054:Second Viennese School 5047:Schools of composition 4514:Secondary leading-tone 3943:Polymodal chromaticism 3921:Dissonant counterpoint 3883:Second Viennese School 3651:Vogel, Martin (1962). 3316:Mulhern, Tom (1986). " 3147:, (2nd ed.) edited by 2156:Benward and Saker 2009 2029:Benward and Saker 2009 1836:Star Wars - Main Title 1505: 1338: 1321: 1285: 1095: 1063: 1047: 929: 881: 865:and repeated B's and F 792: 770: 719: 654: 629: 621: 578:Chamber Symphony Op. 9 287:common practice period 274: 226: 220:verification upon the 179:common practice period 5038:Twelve-tone technique 3866:Twelve-tone technique 3573:The Musical Quarterly 3355:Nattiez, Jean-Jacques 3222:Levine, Mark (1989). 3206:Music Theory Spectrum 3032:The Musical Quarterly 2921:Bick, Sally (2005). " 1842:Superman - Main Title 1781:Karlheinz Stockhausen 1765:Suite No. 3 for Piano 1665:Einojuhani Rautavaara 1499: 1336: 1298: 1279: 1089: 1053: 1033:fourth-suspension or 1019: 936:"Edinburgh in August" 928: 860: 778: 750: 694: 646: 644:) of 1911, he wrote: 627: 610: 430:(shown below) in his 307:breakdown of tonality 293:(when appearing as a 258: 202: 4519:Secondary supertonic 3607:Bacchanalia for Band 3395:Persichetti, Vincent 1973:"Rook" (composed by 1889:"Freedom Jazz Dance" 1823:Variations for Piano 1584:Bacchanalia for Band 1549:12 American Preludes 1463:SinfonĂ­a de AntĂ­gona 1079:such as is found in 688:, are not far off." 256:, can be written as 3733:Rosenthal, David H. 3646:127, no. 2:258–304. 3224:The Jazz Piano Book 3099:1000 Keyboard Ideas 3080:Floyd, Tom (2004). 2936:Boyd, Bill (1997). 1712:Le Fils des Ă©toiles 1671:Études (Rautavaara) 1413:Riders on the Storm 508:Le Fils des Ă©toiles 392:Piano Sonata No. 18 198:Vincent Persichetti 45:is the building of 4590:Chord-scale system 4509:Secondary dominant 3937:Klangfarbenmelodie 3703:Jazz Improvisation 3510:Schoenberg, Arnold 2573:Cardew-Fanning n.d 1805:Heitor Villa-Lobos 1538:Piano Sonata No. 7 1506: 1339: 1322: 1286: 1096: 1064: 1048: 930: 882: 793: 771: 720: 630: 622: 539:Alexander Scriabin 501:experimented with 432:Piano Sonata No. 6 363:Tristan und Isolde 5103: 5102: 4912: 4911: 4649: 4648: 4563: 4562: 4481:Chromatic mediant 4386: 4385: 4337:Viennese trichord 3999: 3998: 3828:Equal temperament 3746:978-0-19-508556-3 3712:978-0-89917-397-9 3684:978-0-19-530757-3 3633:978-0-87487-164-7 3561:978-1-929009-54-1 3523:Theory of Harmony 3412:978-0-393-09539-5 3276:978-0-19-509887-7 3233:978-0-9614701-5-9 3174:978-0-07-131828-0 3043:The Musical Times 3001:978-0-7866-4961-7 2914:978-0-07-310188-0 2006:Viennese trichord 1977:, from the album 1929:Song to a Seagull 1920:Song to a Seagull 1720:Arnold Schoenberg 1654:Clarinet Concerto 1618:Aram Khachaturian 1606:Psalm 24, verse 5 1595:"The Cage" (1906) 1557:Carlos Guastavino 1544:Alberto Ginastera 1524:Norman Dello Joio 1497: 1365:equal temperament 1309: 1300:ii–V–I turnaround 1058:brass part, from 1044: 1029: 1009:, and especially 983:Jelly Roll Morton 945: 878: 852:Combination tones 797: 796: 789: 767: 716: 670:Theory of Harmony 638:Theory of Harmony 618: 574:Arnold Schoenberg 551:Arnold Schoenberg 547:Leonard Bernstein 450: 398:and even towards 378: 271: 149: 124: 87: 63:diminished fourth 16:(Redirected from 5123: 5093: 5083: 5082: 5059:Darmstadt School 4993:Post-romanticism 4703: 4702: 4676: 4669: 4662: 4653: 4652: 4407: 4406: 4394: 4202: 4201: 4159:Harmonic seventh 4129:Diminished major 4044: 4043: 4026: 4019: 4012: 4003: 4002: 3926:Dynamic tonality 3848:Whole tone scale 3801: 3794: 3787: 3778: 3777: 3750: 3720:Floirat, Bernard 3716: 3688: 3667: 3655: 3647: 3636: 3616: 3601: 3592: 3577: 3565: 3542:(pbk). Based on 3526: 3517: 3505: 3492: 3479: 3477: 3476: 3470:Film Music Notes 3460: 3458: 3457: 3451:Film Music Notes 3441: 3424: 3404: 3390: 3381: 3351: 3334: 3325: 3312: 3301: 3290: 3280: 3268: 3257: 3248: 3237: 3218: 3209: 3200: 3187: 3178: 3156: 3139: 3122: 3110: 3093: 3076: 3061:Erickson, Robert 3056: 3047: 3036: 3022: 3013: 2986: 2975: 2962: 2949: 2932: 2917: 2900: 2880: 2865: 2843: 2837: 2831: 2825: 2819: 2813: 2807: 2801: 2795: 2789: 2783: 2777: 2771: 2765: 2759: 2753: 2747: 2741: 2735: 2729: 2723: 2717: 2711: 2705: 2699: 2693: 2687: 2681: 2675: 2669: 2663: 2657: 2651: 2645: 2639: 2633: 2627: 2621: 2615: 2609: 2603: 2597: 2591: 2585: 2576: 2570: 2564: 2558: 2552: 2546: 2540: 2534: 2517: 2511: 2502: 2496: 2490: 2484: 2478: 2472: 2466: 2460: 2454: 2448: 2442: 2436: 2430: 2424: 2418: 2412: 2406: 2405:, 446, 448, 451. 2400: 2394: 2388: 2382: 2376: 2370: 2364: 2358: 2352: 2341: 2335: 2329: 2323: 2314: 2308: 2302: 2296: 2290: 2284: 2278: 2272: 2261: 2255: 2249: 2243: 2237: 2231: 2225: 2219: 2210: 2204: 2195: 2189: 2183: 2177: 2171: 2165: 2159: 2153: 2147: 2141: 2135: 2129: 2123: 2117: 2111: 2105: 2092: 2086: 2080: 2074: 2068: 2062: 2056: 2050: 2044: 2041:Persichetti 1961 2038: 2032: 2026: 1771:Stephen Sondheim 1761:Nikos Skalkottas 1733:Chamber Symphony 1498: 1430:William Albright 1343:Progressive rock 1316:movement of the 1311: 1310: 1062:'s "Señor Blues" 1046: 1045: 1037: 1031: 1030: 947: 946: 927: 902: 886:Eliseo M. Pajaro 880: 879: 870: 869: 834: 833: 828: 827: 822: 821: 816: 815: 810: 809: 791: 790: 769: 768: 759:pentatonic scale 743: 722:French composer 718: 717: 680:or the Viennese 620: 619: 603: 602: 597: 596: 591: 590: 585: 584: 483: 482: 477: 476: 471: 470: 465: 464: 416:dominant seventh 380: 379: 352: 351: 346: 345: 340: 339: 334: 333: 255: 254: 210:augmented triads 163: 162: 156:thirteenth chord 106:diminished fifth 70: 69: 59:augmented fourth 21: 5131: 5130: 5126: 5125: 5124: 5122: 5121: 5120: 5116:Quartal harmony 5106: 5105: 5104: 5099: 5076: 5063: 5042: 4968:New Objectivity 4921: 4919: 4908: 4872: 4694: 4685: 4683:Modernist music 4680: 4650: 4645: 4614: 4559: 4523: 4495: 4457: 4395: 4382: 4373:Synthetic chord 4341: 4312:Northern lights 4277:Complexe sonore 4255: 4241:Augmented sixth 4229: 4227: 4217: 4199: 4198: 4192:Upper structure 4163: 4149:Altered seventh 4144:Augmented minor 4139:Augmented major 4124:Half-diminished 4080: 4035: 4030: 4000: 3995: 3979: 3903: 3897: 3858: 3852: 3843:Octatonic scale 3820: 3814: 3805: 3758: 3753: 3747: 3731: 3713: 3700: 3696: 3694:Further reading 3691: 3685: 3585:by Ned Rorem". 3562: 3544:Schoenberg 1922 3485:Quartal Harmony 3474: 3472: 3455: 3453: 3413: 3277: 3234: 3175: 3115:Hindemith, Paul 3002: 2923:Of Mice and Men 2885:BĂ©hague, Gerard 2856:Anon. (n.d.). " 2846: 2838: 2834: 2828:Mermikides 2014 2826: 2822: 2818:, 131, 202–203. 2814: 2810: 2802: 2798: 2790: 2786: 2778: 2774: 2766: 2762: 2754: 2750: 2742: 2738: 2734:, 285–287, 290. 2730: 2726: 2718: 2714: 2706: 2702: 2694: 2690: 2682: 2678: 2670: 2666: 2658: 2654: 2650:, 112–113, 117. 2646: 2642: 2634: 2630: 2622: 2618: 2610: 2606: 2598: 2594: 2586: 2579: 2571: 2567: 2559: 2555: 2547: 2543: 2535: 2520: 2512: 2505: 2497: 2493: 2485: 2481: 2473: 2469: 2461: 2457: 2449: 2445: 2437: 2433: 2425: 2421: 2413: 2409: 2401: 2397: 2389: 2385: 2377: 2373: 2365: 2361: 2353: 2344: 2336: 2332: 2324: 2317: 2309: 2305: 2297: 2293: 2285: 2281: 2273: 2264: 2256: 2252: 2244: 2240: 2232: 2228: 2220: 2213: 2205: 2198: 2190: 2186: 2178: 2174: 2166: 2162: 2154: 2150: 2144:Schoenberg 1978 2142: 2138: 2130: 2126: 2120:Schoenberg 1978 2118: 2114: 2106: 2095: 2087: 2083: 2075: 2071: 2063: 2059: 2051: 2047: 2039: 2035: 2027: 2023: 2019: 1992: 1937: 1915: 1899:"Contemplation" 1853: 1787:KlavierstĂŒck IX 1534:Caspar Diethelm 1528:Suite for Piano 1492: 1485:Of Mice and Men 1426: 1421: 1386:The 1971 album 1375: (NST), a 1369:just intonation 1349: 1331: 1304: 1239:Paul Bollenback 1092:"So What" chord 1039: 1032: 1024: 969: 968: 960: 958: 957: 956: 955: 948: 941: 938: 931: 925: 920: 908:George Gershwin 888: 873: 867: 866: 831: 830: 825: 824: 819: 818: 813: 812: 807: 806: 784: 762: 711: 666: 650:chromatic scale 613: 600: 599: 594: 593: 588: 587: 582: 581: 571: 555:Igor Stravinsky 535:Francis Poulenc 527: 492:chromatic scale 480: 479: 474: 473: 468: 467: 462: 461: 452: 451: 449: 381: 373: 349: 348: 343: 342: 337: 336: 331: 330: 323: 311:classical music 279: 273: 272: 270: 252: 251: 241:quartal harmony 229:Quintal harmony 167: 166: 165: 160: 159: 152: 151: 150: 148: 133: 126: 125: 123: 102:augmented fifth 94:Quintal harmony 89: 88: 86: 67: 66: 43:quartal harmony 35: 28: 23: 22: 15: 12: 11: 5: 5129: 5119: 5118: 5101: 5100: 5098: 5097: 5087: 5073:Romantic music 5069: 5068: 5065: 5064: 5062: 5061: 5056: 5050: 5048: 5044: 5043: 5041: 5040: 5035: 5030: 5025: 5020: 5015: 5010: 5005: 5000: 4995: 4990: 4985: 4980: 4978:Pandiatonicism 4975: 4970: 4965: 4963:New Complexity 4960: 4955: 4950: 4945: 4940: 4935: 4930: 4924: 4922: 4917: 4914: 4913: 4910: 4909: 4907: 4906: 4905: 4904: 4899: 4894: 4889: 4883:United States 4880: 4878: 4874: 4873: 4871: 4870: 4869: 4868: 4863: 4858: 4850: 4849: 4848: 4840: 4839: 4838: 4830: 4829: 4828: 4820: 4819: 4818: 4813: 4805: 4804: 4803: 4798: 4793: 4788: 4783: 4778: 4770: 4769: 4768: 4760: 4759: 4758: 4750: 4749: 4748: 4740: 4739: 4738: 4733: 4728: 4723: 4718: 4709: 4707: 4700: 4696: 4695: 4690: 4687: 4686: 4679: 4678: 4671: 4664: 4656: 4647: 4646: 4644: 4643: 4638: 4636:List of chords 4633: 4628: 4622: 4620: 4616: 4615: 4613: 4612: 4607: 4602: 4597: 4592: 4587: 4582: 4577: 4571: 4569: 4565: 4564: 4561: 4560: 4558: 4557: 4552: 4547: 4542: 4537: 4531: 4529: 4525: 4524: 4522: 4521: 4516: 4511: 4505: 4503: 4497: 4496: 4494: 4493: 4488: 4483: 4478: 4473: 4467: 4465: 4459: 4458: 4456: 4455: 4446: 4441: 4436: 4431: 4426: 4421: 4415: 4413: 4404: 4397: 4396: 4389: 4387: 4384: 4383: 4381: 4380: 4375: 4370: 4365: 4360: 4355: 4353:Mixed interval 4349: 4347: 4343: 4342: 4340: 4339: 4334: 4329: 4324: 4319: 4314: 4309: 4304: 4299: 4294: 4289: 4284: 4279: 4274: 4269: 4263: 4261: 4257: 4256: 4254: 4253: 4248: 4243: 4238: 4232: 4230: 4222: 4219: 4218: 4216: 4215: 4210: 4205: 4194: 4189: 4184: 4179: 4173: 4171: 4165: 4164: 4162: 4161: 4156: 4151: 4146: 4141: 4136: 4131: 4126: 4121: 4116: 4111: 4106: 4101: 4096: 4090: 4088: 4082: 4081: 4079: 4078: 4073: 4068: 4063: 4058: 4052: 4050: 4041: 4037: 4036: 4029: 4028: 4021: 4014: 4006: 3997: 3996: 3994: 3993: 3987: 3985: 3981: 3980: 3978: 3977: 3972: 3967: 3962: 3957: 3956: 3955: 3953:Distance model 3945: 3940: 3933: 3928: 3923: 3918: 3913: 3907: 3905: 3899: 3898: 3896: 3895: 3893:Spectral music 3890: 3885: 3880: 3879: 3878: 3873: 3862: 3860: 3854: 3853: 3851: 3850: 3845: 3840: 3835: 3830: 3824: 3822: 3816: 3815: 3804: 3803: 3796: 3789: 3781: 3775: 3774: 3769: 3764: 3757: 3756:External links 3754: 3752: 3751: 3745: 3729: 3717: 3711: 3697: 3695: 3692: 3690: 3689: 3683: 3668: 3656: 3648: 3637: 3617: 3602: 3593: 3578: 3567: 3560: 3554:. Ekay Music. 3547: 3518: 3506: 3493: 3480: 3461: 3442: 3425: 3411: 3391: 3382: 3370: 3352: 3335: 3326: 3313: 3302: 3291: 3282: 3275: 3258: 3254:SinfonĂ­a India 3249: 3238: 3232: 3219: 3210: 3201: 3188: 3179: 3173: 3161:Kostka, Stefan 3157: 3140: 3123: 3121:. Vol. 1. 3111: 3094: 3077: 3057: 3048: 3037: 3023: 3014: 3000: 2987: 2982:American Music 2976: 2963: 2950: 2933: 2928:American Music 2918: 2901: 2881: 2866: 2862:ChalkHills.org 2852: 2845: 2844: 2832: 2820: 2816:Whitesell 2008 2808: 2804:Richards 2013b 2796: 2792:Richards 2013a 2784: 2772: 2760: 2748: 2736: 2724: 2720:Dickinson 1963 2712: 2700: 2688: 2676: 2664: 2652: 2640: 2628: 2616: 2612:Sjoerdsma 1972 2604: 2592: 2588:Archibald 1969 2577: 2565: 2553: 2541: 2518: 2503: 2491: 2479: 2467: 2455: 2443: 2431: 2419: 2407: 2395: 2383: 2371: 2359: 2342: 2330: 2315: 2303: 2291: 2279: 2262: 2250: 2238: 2226: 2211: 2196: 2184: 2172: 2160: 2148: 2136: 2124: 2112: 2093: 2081: 2069: 2057: 2045: 2033: 2020: 2018: 2015: 2014: 2013: 2008: 2003: 1998: 1991: 1988: 1987: 1986: 1985: 1984: 1975:Andy Partridge 1966: 1965: 1964: 1952: 1951: 1950: 1936: 1933: 1914: 1911: 1910: 1909: 1908: 1907: 1900: 1892: 1891: 1890: 1882: 1881: 1880: 1871:Herbie Hancock 1868: 1867: 1866: 1852: 1849: 1848: 1847: 1846: 1845: 1839: 1828: 1827: 1826: 1815: 1814: 1813: 1802: 1801: 1800: 1795:Howard Swanson 1792: 1791: 1790: 1778: 1777: 1776: 1768: 1767: 1766: 1758: 1757: 1756: 1753:Diatonic Study 1745: 1744: 1743: 1737: 1729: 1717: 1716: 1715: 1703: 1702: 1701: 1690: 1689: 1688: 1675: 1674: 1673: 1662: 1661: 1660: 1655: 1647: 1646: 1645: 1640:Darius Milhaud 1637: 1636: 1635: 1627: 1626: 1625: 1615: 1614: 1613: 1610: 1607: 1604: 1601: 1596: 1588: 1587: 1586: 1579:Walter Hartley 1576: 1575: 1574: 1564: 1563: 1562: 1554: 1553: 1552: 1541: 1540: 1539: 1531: 1530: 1529: 1521: 1520: 1519: 1510:Claude Debussy 1490: 1489: 1488: 1487: 1477: 1476: 1475: 1471:SinfonĂ­a india 1467: 1454: 1453: 1452: 1445: 1437: 1436: 1435: 1425: 1422: 1420: 1417: 1377:regular tuning 1347:Symphonic rock 1330: 1327: 1263:Herbie Hancock 1243:Mark Whitfield 1223:Russell Malone 1215:Wes Montgomery 1207:Howard Roberts 1193:("Sky Dive"), 1173:Wes Montgomery 1142:Charlie Parker 1021:ii–V–I cadence 1007:Herbie Hancock 987:Duke Ellington 959: 949: 939: 934: 933: 932: 923: 922: 921: 919: 916: 848:Hindemith 1937 795: 794: 772: 682:Franz Schreker 665: 662: 570: 567: 531:Claude Debussy 526: 523: 454: 453: 443: 440: 410:and others. 383: 382: 322: 319: 278: 275: 264: 261: 181:are guided by 153: 142: 139: 136: 135: 134: 132: 129: 128: 127: 117: 114: 91: 90: 80: 77: 55:perfect fourth 26: 9: 6: 4: 3: 2: 5128: 5117: 5114: 5113: 5111: 5096: 5092: 5088: 5086: 5078: 5077: 5075: 5074: 5066: 5060: 5057: 5055: 5052: 5051: 5049: 5045: 5039: 5036: 5034: 5031: 5029: 5026: 5024: 5021: 5019: 5016: 5014: 5011: 5009: 5006: 5004: 5001: 4999: 4996: 4994: 4991: 4989: 4986: 4984: 4981: 4979: 4976: 4974: 4971: 4969: 4966: 4964: 4961: 4959: 4956: 4954: 4951: 4949: 4946: 4944: 4941: 4939: 4938:Expressionism 4936: 4934: 4931: 4929: 4926: 4925: 4923: 4915: 4903: 4900: 4898: 4895: 4893: 4890: 4888: 4885: 4884: 4882: 4881: 4879: 4875: 4867: 4864: 4862: 4859: 4857: 4854: 4853: 4851: 4847: 4844: 4843: 4841: 4837: 4834: 4833: 4831: 4827: 4824: 4823: 4821: 4817: 4814: 4812: 4809: 4808: 4806: 4802: 4799: 4797: 4794: 4792: 4789: 4787: 4784: 4782: 4779: 4777: 4774: 4773: 4771: 4767: 4764: 4763: 4761: 4757: 4754: 4753: 4751: 4747: 4744: 4743: 4741: 4737: 4734: 4732: 4729: 4727: 4724: 4722: 4719: 4717: 4714: 4713: 4711: 4710: 4708: 4704: 4701: 4697: 4693: 4688: 4684: 4677: 4672: 4670: 4665: 4663: 4658: 4657: 4654: 4642: 4639: 4637: 4634: 4632: 4629: 4627: 4624: 4623: 4621: 4617: 4611: 4608: 4606: 4603: 4601: 4598: 4596: 4593: 4591: 4588: 4586: 4583: 4581: 4578: 4576: 4573: 4572: 4570: 4566: 4556: 4553: 4551: 4548: 4546: 4545:Primary triad 4543: 4541: 4538: 4536: 4533: 4532: 4530: 4526: 4520: 4517: 4515: 4512: 4510: 4507: 4506: 4504: 4502: 4498: 4492: 4489: 4487: 4484: 4482: 4479: 4477: 4474: 4472: 4469: 4468: 4466: 4464: 4460: 4454: 4450: 4447: 4445: 4442: 4440: 4437: 4435: 4432: 4430: 4427: 4425: 4422: 4420: 4417: 4416: 4414: 4412: 4408: 4405: 4403: 4398: 4393: 4379: 4376: 4374: 4371: 4369: 4366: 4364: 4361: 4359: 4356: 4354: 4351: 4350: 4348: 4344: 4338: 4335: 4333: 4330: 4328: 4325: 4323: 4320: 4318: 4315: 4313: 4310: 4308: 4305: 4303: 4300: 4298: 4295: 4293: 4290: 4288: 4285: 4283: 4280: 4278: 4275: 4273: 4270: 4268: 4265: 4264: 4262: 4258: 4252: 4249: 4247: 4244: 4242: 4239: 4237: 4234: 4233: 4231: 4225: 4220: 4214: 4211: 4209: 4206: 4204: 4195: 4193: 4190: 4188: 4185: 4183: 4180: 4178: 4175: 4174: 4172: 4170: 4166: 4160: 4157: 4155: 4152: 4150: 4147: 4145: 4142: 4140: 4137: 4135: 4132: 4130: 4127: 4125: 4122: 4120: 4117: 4115: 4112: 4110: 4107: 4105: 4102: 4100: 4097: 4095: 4092: 4091: 4089: 4087: 4083: 4077: 4074: 4072: 4069: 4067: 4064: 4062: 4059: 4057: 4054: 4053: 4051: 4049: 4045: 4042: 4038: 4034: 4027: 4022: 4020: 4015: 4013: 4008: 4007: 4004: 3992: 3989: 3988: 3986: 3982: 3976: 3975:Unified field 3973: 3971: 3968: 3966: 3963: 3961: 3958: 3954: 3951: 3950: 3949: 3946: 3944: 3941: 3939: 3938: 3934: 3932: 3929: 3927: 3924: 3922: 3919: 3917: 3914: 3912: 3909: 3908: 3906: 3900: 3894: 3891: 3889: 3886: 3884: 3881: 3877: 3874: 3872: 3869: 3868: 3867: 3864: 3863: 3861: 3855: 3849: 3846: 3844: 3841: 3839: 3836: 3834: 3831: 3829: 3826: 3825: 3823: 3817: 3813: 3812:post-tonality 3809: 3802: 3797: 3795: 3790: 3788: 3783: 3782: 3779: 3773: 3770: 3768: 3765: 3763: 3760: 3759: 3748: 3742: 3738: 3734: 3730: 3727: 3726: 3721: 3718: 3714: 3708: 3704: 3699: 3698: 3686: 3680: 3676: 3675: 3669: 3665: 3661: 3660:Webern, Anton 3657: 3654: 3649: 3645: 3644: 3638: 3634: 3630: 3626: 3622: 3618: 3614: 3613: 3608: 3603: 3599: 3594: 3590: 3589: 3584: 3579: 3575: 3574: 3568: 3563: 3557: 3553: 3548: 3545: 3541: 3540:0-520-04944-6 3537: 3533: 3532:0-520-04945-4 3529: 3524: 3519: 3515: 3514:Harmonielehre 3511: 3507: 3503: 3499: 3494: 3490: 3486: 3481: 3471: 3467: 3462: 3452: 3448: 3443: 3439: 3438:0-13-049346-5 3435: 3431: 3426: 3422: 3418: 3414: 3408: 3403: 3402: 3396: 3392: 3388: 3383: 3379: 3375: 3374:OrbĂłn, JuliĂĄn 3371: 3368: 3367:0-691-02714-5 3364: 3360: 3356: 3353: 3349: 3348:0-13-607515-0 3345: 3341: 3336: 3332: 3327: 3323: 3322:Guitar Player 3319: 3314: 3310: 3309: 3303: 3299: 3298: 3292: 3288: 3283: 3278: 3272: 3267: 3266: 3259: 3255: 3250: 3246: 3245: 3239: 3235: 3229: 3225: 3220: 3216: 3211: 3207: 3202: 3198: 3194: 3189: 3185: 3180: 3176: 3170: 3166: 3162: 3158: 3154: 3150: 3149:Stanley Sadie 3146: 3141: 3137: 3136:1-58684-054-1 3133: 3129: 3124: 3120: 3116: 3112: 3108: 3107:0-943748-48-8 3104: 3100: 3095: 3091: 3090:0-7866-6811-3 3087: 3083: 3078: 3074: 3073:0-520-02376-5 3070: 3066: 3062: 3058: 3054: 3049: 3045: 3044: 3038: 3034: 3033: 3028: 3027:Cowell, Henry 3024: 3020: 3015: 3011: 3007: 3003: 2997: 2993: 2988: 2984: 2983: 2977: 2973: 2969: 2964: 2960: 2956: 2951: 2947: 2946:0-7935-7038-7 2943: 2939: 2934: 2930: 2929: 2924: 2919: 2915: 2911: 2907: 2902: 2898: 2897:0-292-70823-8 2894: 2890: 2886: 2882: 2878: 2877: 2872: 2867: 2863: 2859: 2854: 2853: 2851: 2850: 2841: 2836: 2829: 2824: 2817: 2812: 2805: 2800: 2793: 2788: 2781: 2780:Reisberg 1975 2776: 2769: 2764: 2757: 2752: 2745: 2744:Reisberg 1975 2740: 2733: 2728: 2721: 2716: 2709: 2704: 2697: 2692: 2685: 2680: 2673: 2668: 2661: 2660:Sanderson n.d 2656: 2649: 2644: 2637: 2636:Reisberg 1975 2632: 2625: 2624:Carpenter n.d 2620: 2613: 2608: 2601: 2596: 2589: 2584: 2582: 2574: 2569: 2562: 2557: 2550: 2545: 2538: 2533: 2531: 2529: 2527: 2525: 2523: 2515: 2514:Reisberg 1975 2510: 2508: 2500: 2495: 2488: 2483: 2476: 2471: 2464: 2459: 2452: 2447: 2440: 2435: 2428: 2423: 2416: 2415:Reisberg 1975 2411: 2404: 2399: 2392: 2387: 2380: 2375: 2368: 2367:Reisberg 1975 2363: 2356: 2351: 2349: 2347: 2339: 2334: 2327: 2322: 2320: 2312: 2307: 2300: 2295: 2288: 2283: 2276: 2271: 2269: 2267: 2259: 2258:Corozine 2002 2254: 2247: 2242: 2235: 2234:Scivales 2005 2230: 2223: 2222:Scivales 2005 2218: 2216: 2208: 2203: 2201: 2193: 2188: 2181: 2176: 2169: 2168:Reisberg 1975 2164: 2157: 2152: 2145: 2140: 2133: 2128: 2121: 2116: 2109: 2104: 2102: 2100: 2098: 2090: 2085: 2078: 2077:Morrison 1998 2073: 2066: 2065:Erickson 1975 2061: 2054: 2049: 2042: 2037: 2030: 2025: 2021: 2012: 2009: 2007: 2004: 2002: 1999: 1997: 1994: 1993: 1982: 1981: 1976: 1972: 1971: 1970: 1967: 1962: 1958: 1957: 1956: 1953: 1949: 1948: 1944: 1943: 1942: 1939: 1938: 1932: 1930: 1926: 1925:Joni Mitchell 1922: 1921: 1905: 1904:Passion Dance 1901: 1898: 1897: 1896: 1893: 1888: 1887: 1886: 1883: 1878: 1877:Maiden Voyage 1874: 1873: 1872: 1869: 1865: 1864: 1860: 1859: 1858: 1855: 1854: 1843: 1840: 1837: 1834: 1833: 1832: 1831:John Williams 1829: 1824: 1821: 1820: 1819: 1816: 1811: 1808: 1807: 1806: 1803: 1799:"Saw a Grave" 1798: 1797: 1796: 1793: 1789: 1788: 1784: 1783: 1782: 1779: 1774: 1773: 1772: 1769: 1764: 1763: 1762: 1759: 1754: 1751: 1750: 1749: 1746: 1741: 1738: 1735: 1734: 1730: 1728: 1727: 1723: 1722: 1721: 1718: 1714: 1713: 1709: 1708: 1707: 1704: 1699: 1696: 1695: 1694: 1691: 1686: 1685: 1684:Ma mĂšre l'oye 1681: 1680: 1679: 1678:Maurice Ravel 1676: 1672: 1668: 1667: 1666: 1663: 1659: 1656: 1653: 1652: 1651: 1650:Walter Piston 1648: 1643: 1642: 1641: 1638: 1633: 1632: 1631: 1630:Benjamin Lees 1628: 1624: 1621: 1620: 1619: 1616: 1611: 1608: 1605: 1602: 1600: 1597: 1594: 1593: 1592: 1589: 1585: 1582: 1581: 1580: 1577: 1573: 1570: 1569: 1568: 1567:Howard Hanson 1565: 1560: 1559: 1558: 1555: 1550: 1547: 1546: 1545: 1542: 1537: 1536: 1535: 1532: 1527: 1526: 1525: 1522: 1517: 1513: 1512: 1511: 1508: 1507: 1503: 1486: 1483: 1482: 1481: 1480:Aaron Copland 1478: 1473: 1472: 1468: 1465: 1464: 1460: 1459: 1458: 1457:Carlos ChĂĄvez 1455: 1451: 1450: 1446: 1443: 1442: 1441: 1438: 1433: 1432: 1431: 1428: 1427: 1416: 1414: 1410: 1406: 1402: 1399: 1395: 1391: 1390: 1384: 1382: 1378: 1374: 1370: 1366: 1362: 1358: 1354: 1348: 1344: 1335: 1326: 1319: 1315: 1301: 1297: 1293: 1291: 1283: 1282:Maiden Voyage 1278: 1274: 1272: 1268: 1264: 1259: 1255: 1250: 1248: 1244: 1240: 1236: 1232: 1228: 1224: 1220: 1219:Henry Johnson 1216: 1212: 1211:Kenny Burrell 1208: 1204: 1201:("Windows"), 1200: 1196: 1192: 1191:George Benson 1188: 1187: 1182: 1181:Sonny Rollins 1178: 1174: 1170: 1166: 1162: 1161:Barney Kessel 1158: 1154: 1150: 1145: 1143: 1139: 1135: 1134:Oliver Nelson 1131: 1130:John Coltrane 1127: 1121: 1119: 1118:So What chord 1115: 1111: 1108:with pianist 1107: 1103: 1102: 1093: 1088: 1084: 1082: 1078: 1073: 1069: 1061: 1060:Horace Silver 1057: 1052: 1036: 1022: 1018: 1014: 1012: 1008: 1004: 1000: 996: 992: 988: 984: 980: 975: 967: 965: 953: 937: 915: 913: 912:Concerto in F 909: 904: 900: 896: 892: 887: 864: 859: 855: 853: 849: 845: 841: 836: 804: 803: 782: 777: 773: 760: 756: 755: 754:Ma mĂšre l'Oye 749: 745: 744: 741: 739: 735: 734: 733:Ma mĂšre l'Oye 729: 725: 724:Maurice Ravel 708: 704: 700: 699: 698:Mikrokosmos V 693: 689: 687: 683: 679: 675: 671: 661: 659: 653: 651: 645: 643: 642:Harmonielehre 639: 634: 626: 609: 605: 579: 575: 566: 564: 560: 556: 552: 548: 544: 540: 536: 532: 522: 520: 519: 514: 510: 509: 504: 500: 495: 493: 489: 488: 459: 447: 437: 436: 435: 433: 429: 425: 420: 417: 411: 409: 405: 401: 397: 396:tonal harmony 393: 389: 369: 368: 367: 365: 364: 360: 356: 328: 327:Tristan chord 318: 316: 312: 308: 304: 300: 299:voice leading 296: 292: 288: 284: 268: 257: 249: 244: 242: 238: 234: 230: 225: 223: 219: 215: 211: 207: 201: 200:writes that: 199: 194: 192: 188: 184: 180: 176: 172: 157: 146: 121: 111: 110: 109: 107: 103: 99: 98:perfect fifth 95: 84: 74: 73: 72: 64: 60: 56: 52: 48: 44: 40: 33: 19: 18:Quartal chord 5071: 5033:Tone cluster 5002: 4988:Polytonality 4933:Experimental 4449:Leading-tone 4367: 4226: / 4213:Tone cluster 4094:Leading-tone 3984:Compositions 3970:Tone cluster 3959: 3948:Polytonality 3935: 3911:Chromaticism 3904:and concepts 3838:Mystic chord 3736: 3723: 3702: 3673: 3663: 3652: 3641: 3624: 3610: 3606: 3586: 3582: 3571: 3551: 3522: 3513: 3488: 3473:. 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Retrieved 3450: 3429: 3400: 3386: 3377: 3358: 3339: 3330: 3321: 3306: 3295: 3289:, issue 230. 3286: 3264: 3253: 3242: 3223: 3214: 3205: 3196: 3192: 3183: 3164: 3153:John Tyrrell 3144: 3127: 3118: 3098: 3081: 3064: 3052: 3041: 3030: 3018: 2991: 2980: 2937: 2926: 2922: 2905: 2888: 2874: 2870: 2861: 2848: 2847: 2835: 2823: 2811: 2799: 2787: 2775: 2768:BĂ©hague 1994 2763: 2751: 2739: 2727: 2715: 2703: 2691: 2684:Lambert 1990 2679: 2667: 2655: 2643: 2631: 2619: 2607: 2595: 2568: 2556: 2549:Lambert 1990 2544: 2494: 2487:Lambert 1990 2482: 2470: 2458: 2446: 2434: 2427:Kroeger 1969 2422: 2410: 2398: 2386: 2374: 2362: 2355:Lambert 1996 2333: 2311:Mulhern 1986 2306: 2294: 2282: 2253: 2241: 2229: 2192:Kasilag 2001 2187: 2175: 2163: 2151: 2139: 2127: 2115: 2089:Solomon 2003 2084: 2072: 2060: 2048: 2036: 2024: 1978: 1961:Zoot Allures 1945: 1928: 1918: 1916: 1885:Eddie Harris 1863:Kind of Blue 1861: 1818:Anton Webern 1785: 1775:Piano Sonata 1752: 1740:Wind Quintet 1731: 1724: 1710: 1697: 1682: 1657: 1598: 1591:Charles Ives 1583: 1551:, Prelude #7 1548: 1501: 1484: 1469: 1461: 1447: 1405:Ray Manzarek 1403: 1398:Alberti bass 1387: 1385: 1381:open strings 1361:King Crimson 1353:Robert Fripp 1350: 1323: 1287: 1258:church modes 1251: 1247:Rodney Jones 1235:Bill Frisell 1231:Howard Alden 1199:Jack Wilkins 1184: 1179:(especially 1149:Johnny Smith 1146: 1122: 1101:Kind of Blue 1099: 1097: 1065: 999:Milt Buckner 970: 961: 952:Adam Cuerden 905: 883: 843: 839: 837: 800: 798: 780: 752: 738:Charles Ives 731: 721: 706: 702: 696: 669: 667: 658:Anton Webern 655: 647: 641: 637: 635: 631: 572: 563:Anton Webern 559:Joe Hisaishi 528: 516: 506: 496: 485: 455: 428:Mystic chord 421: 412: 384: 361: 324: 315:20th century 280: 245: 240: 228: 227: 203: 195: 191:minor thirds 174: 170: 168: 93: 92: 42: 36: 4983:Polyrhythms 4958:Neotonality 4846:Szymanowski 4434:Subdominant 4297:Grandmother 4154:Nondominant 4134:Minor-major 3621:Stein, Leon 2908:, Vol. II. 2756:Moe 1981–82 2732:Swayne 2002 2602:, p. . 2561:Cowell 1956 2499:Murphy 2008 2463:Spieth 1978 2451:Perone 1993 2313:, p. . 2246:Levine 1989 2207:Hester 2000 2132:Webern 1963 2108:Herder 1987 2067:, p. . 1955:Frank Zappa 1895:McCoy Tyner 1857:Miles Davis 1748:Cyril Scott 1267:Chick Corea 1227:Jimmy Bruno 1195:Pat Martino 1169:Jimmy Raney 1157:Chuck Wayne 1126:McCoy Tyner 1106:Miles Davis 1011:McCoy Tyner 1003:Chick Corea 889: [ 730:(1906) and 701:, No. 131, 678:BĂ©la BartĂłk 497:In France, 283:Middle Ages 5028:Surrealism 5023:Stochastic 5013:Sound mass 4948:Microtonal 4920:techniques 4918:Genres and 4866:Stravinsky 4826:Skalkottas 4731:Schoenberg 4568:Techniques 4555:Substitute 4550:Subsidiary 4486:Neapolitan 4444:Submediant 4424:Supertonic 4197:Dominant 7 4187:Thirteenth 4119:Diminished 4071:Diminished 3965:Tone Clock 3916:Cyclic set 3902:Techniques 3857:Genres and 3819:Scales and 3475:2020-10-28 3456:2020-10-28 3311:51, no. 2. 2746:, 349–350. 2708:Stein 1979 2672:Rubin 2005 2648:Domek 1979 2537:Scott 1994 2516:, 344–345. 2417:, 343–344. 2391:Leyva 2010 2379:OrbĂłn 1987 2338:Lewis 1985 2326:Macan 1997 2275:Floyd 2004 2122:, 406–407. 2053:Vogel 1962 2017:References 1706:Erik Satie 1698:King Midas 1603:"Harpalus" 1440:Alban Berg 1341:See also: 1329:Rock music 1203:Joe Diorio 1186:The Bridge 1153:Tal Farlow 1110:Bill Evans 995:Bill Evans 964:media help 674:Alban Berg 569:Schoenberg 543:Alban Berg 513:Paul Dukas 499:Erik Satie 321:Precursors 303:consonance 301:) or as a 295:suspension 291:dissonance 237:complement 183:tonalities 169:The terms 131:Properties 5008:Serialism 4928:Atonality 4856:Prokofiev 4699:Composers 4585:Chordioid 4501:Secondary 4317:Petrushka 4251:Seven six 4208:Polychord 4076:Suspended 4066:Augmented 3888:Serialism 3808:Atonality 3534:(cloth); 3489:d.umn.edu 3333:5:179–93. 2840:Anon. n.d 2770:, 70, 72. 2475:Carr 1989 2439:Kulp 2006 2403:Bick 2005 2369:, 344–46. 2299:Boyd 1997 2287:Boyd 1997 2001:Polychord 1700:, cantata 1693:Ned Rorem 1612:"Walking" 1424:Classical 1409:The Doors 1357:guitarist 1271:free jazz 1081:cool jazz 1077:polyphony 1035:sus chord 991:Art Tatum 979:arrangers 781:114 Songs 487:Mysterium 400:atonality 388:Beethoven 233:inversion 51:intervals 5110:Category 5085:Category 5018:Spectral 4943:Futurism 4877:Americas 4861:Scriabin 4832:Hungary 4807:Germany 4791:Messiaen 4786:Koechlin 4762:Finland 4752:Czechia 4746:Pousseur 4742:Belgium 4712:Austria 4626:Arpeggio 4540:Contrast 4476:Borrowed 4471:Approach 4453:Subtonic 4439:Dominant 4411:Diatonic 4402:function 4358:Secundal 4260:Specific 4200:♯ 4182:Eleventh 4169:Extended 4109:Dominant 3735:(1993). 3722:(2015). 3623:(1979). 3512:(1922). 3502:AllMusic 3397:(1961). 3357:(1990). 3300:2:57–71. 3117:(1937). 3063:(1975). 3010:50470629 2972:AllMusic 2959:AllMusic 2887:. 1994. 1996:Secundal 1990:See also 1825:, Op. 27 1742:, Op. 26 1609:Psalm 90 1177:Jim Hall 1165:Joe Pass 1138:voicings 1068:hard bop 1056:hard bop 1054:Typical 868:♯ 832:♯ 826:♯ 820:♯ 814:♯ 808:♯ 728:Sonatine 601:♭ 595:♭ 589:♭ 583:♯ 481:♭ 475:♯ 469:♭ 463:♯ 424:Scriabin 404:function 350:♯ 344:♯ 338:♮ 332:♮ 253:♭ 248:voicings 161:♭ 104:and the 68:♭ 61:and the 47:harmonic 5070: â† 4998:Process 4887:Antheil 4852:Russia 4842:Poland 4822:Greece 4816:Strauss 4796:Milhaud 4781:Jolivet 4772:France 4766:Bergman 4491:Passing 4463:Altered 4429:Mediant 4368:Quartal 4363:Tertian 4346:General 4332:Tristan 4327:So What 4287:Elektra 4228:omitted 4086:Seventh 4040:By form 3859:schools 2849:Sources 1980:Nonsuch 1623:Toccata 1504:opening 1449:Wozzeck 1318:bassist 1290:voicing 1114:So What 1072:Quintet 707:Quartes 703:Fourths 686:Puccini 668:In his 503:planing 458:tertian 408:Debussy 281:In the 277:History 175:quintal 171:quartal 53:of the 5095:Portal 4897:Cowell 4892:Carter 4836:BartĂłk 4801:VarĂšse 4736:Webern 4726:Mahler 4721:Krenek 4706:Europe 4641:Factor 4595:Guitar 4535:Common 4378:Tetrad 4322:Psalms 4307:Mystic 4292:Farben 4272:Bridge 4246:Lydian 4033:Chords 3821:tuning 3743:  3709:  3681:  3631:  3558:  3538:  3530:  3436:  3421:398434 3419:  3409:  3365:  3346:  3273:  3230:  3171:  3134:  3105:  3088:  3071:  3008:  2998:  2944:  2912:  2895:  2782:, 348. 2638:, 347. 2590:, 825. 2563:, 243. 2539:, 458. 2477:, 135. 2441:, 207. 2357:, 118. 2340:, 443. 2236:, 205. 2224:, 203. 2209:, 199. 2170:, 345. 2146:, 407. 2079:, 316. 2031:, 279. 1947:Tarkus 1844:(1978) 1838:(1977) 1812:(1923) 1755:(1914) 1389:Tarkus 1265:, and 1245:, and 863:Dorian 664:Others 355:Wagner 100:, the 57:, the 4973:Noise 4811:Reger 4776:Henry 4619:Other 4610:Slash 4605:Power 4580:Block 4575:Barre 4528:Other 4419:Tonic 4302:Magic 4282:Dream 4267:Alpha 4236:Sixth 4224:Added 4177:Ninth 4104:Minor 4099:Major 4061:Minor 4056:Major 4048:Triad 3612:Notes 3588:Notes 3184:Notes 2876:Notes 2830:, 31. 2758:, 70. 2710:, 18. 2686:, 68. 2551:, 67. 2489:, 44. 2393:, 56. 2381:, 83. 2328:, 55. 2301:, 95. 2289:, 94. 2260:, 12. 2248:, 97. 2158:, 37. 2134:, 48. 2110:, 78. 2055:, 12. 2043:, 94. 1810:Nonet 1254:scale 981:like 974:opera 901:] 359:opera 347:and G 222:voice 187:major 39:music 4902:Ives 4756:HĂĄba 4716:Berg 4600:Open 3876:List 3810:and 3741:ISBN 3707:ISBN 3679:ISBN 3629:ISBN 3556:ISBN 3536:ISBN 3528:ISBN 3434:ISBN 3417:OCLC 3407:ISBN 3363:ISBN 3344:ISBN 3271:ISBN 3228:ISBN 3169:ISBN 3151:and 3132:ISBN 3103:ISBN 3086:ISBN 3069:ISBN 3006:OCLC 2996:ISBN 2942:ISBN 2910:ISBN 2893:ISBN 2858:Rook 2453:, 8. 2277:, 4. 1935:Rock 1913:Folk 1851:Jazz 1345:and 1314:root 1090:The 1066:The 918:Jazz 656:For 586:–F–B 561:and 366:. 325:The 214:root 189:and 173:and 158:on B 4400:By 3871:Row 3500:", 3320:". 2970:", 2957:", 2860:", 1969:XTC 1407:of 1392:by 1359:of 1189:), 1183:'s 950:In 854:." 576:'s 515:'s 434:. 390:'s 357:'s 341:, D 335:, B 309:in 235:or 218:key 208:or 71:. 37:In 5112:: 4451:/ 3468:. 3449:. 3415:. 3195:/ 3101:. 3004:. 2940:. 2580:^ 2521:^ 2506:^ 2345:^ 2318:^ 2265:^ 2214:^ 2199:^ 2096:^ 1931:. 1923:, 1383:. 1355:, 1249:. 1241:, 1237:, 1233:, 1229:, 1225:, 1221:, 1217:, 1213:, 1209:, 1205:, 1197:, 1171:, 1167:, 1163:, 1159:, 1155:, 1151:, 1104:, 1083:. 1013:. 1005:, 1001:, 997:, 993:, 989:, 985:, 899:tl 897:; 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Index

Quartal chord
Eleventh chord § Fourth
music
harmonic
intervals
perfect fourth
augmented fourth
diminished fourth
download the audio file
perfect fifth
augmented fifth
diminished fifth
download the audio file
download the audio file
thirteenth chord
common practice period
tonalities
major
minor thirds
Vincent Persichetti
diminished seventh chords
augmented triads
root
key
voice
inversion
complement
voicings
download the audio file
Middle Ages

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