Quintuple meter (Brit. metre) or quintuple time (chiefly Brit.) is a musical meter characterized by five beats in a measure. Like the more common duple, triple, and quadruple meters, it may be simple, with each beat divided in half, or compound, with each beat divided into thirds. The most common time signatures for simple quintuple meter are 5/4 and 5/8, and compound quintuple meter is most often written in 15/8. A time signature of 15/8, however, does not necessarily mean that the bar is a quintuple meter with each beat divided into three. It may, for example, be used to indicate a bar of triple meter in which each beat is subdivided into five parts. In this case, the meter is sometimes characterized as "triple quintuple time". It is also possible for a 15/8 time signature to be used for an irregular, or "additive" metrical pattern, such as groupings of 3 + 3 + 3 + 2 + 2 + 2 eighth notes or, for example in the Hymn to the Sun and Hymn to Nemesis by Mesomedes of Crete, 2 + 2 + 2 + 2 + 2 + 3 + 2, which may alternatively be given the composite signature (8+7)/8. Quintuple meter can also be notated by using regularly alternating bars of triple and duple meters, for example 2/4 + 3/4, or 6/8 + 9/8, or through the use of "compound meters", in which two or three numerals take the place of the expected numerator 5, for example, (2 + 3)/8, or (2 + 1 + 2)/8. Conversely, the presence of a 5/4 or 5/8 meter signature does not necessarily mean that the music is in quintuple meter. The regular alternation of 5/4 and 4/4 in Bruce Hornsby's "The Tango King" (from the album Hot House), for example, results in an overall nonuple meter (5 + 4 = 9).
- 1 History
- 2 Other examples of quintuple meter in popular music
- 3 Notes
- 4 Sources
- 5 Further reading
Before the 20th century, quintuple time was rare in European concert music, but is more commonly found in other world cultures.
Ancient Greek music
Rhythm in ancient Greek music was closely tied to poetic meter, and included what are understood today as quintuple patterns. The two Delphic Hymns from the second century BC both provide examples. The First Delphic Hymn, by Athenaeus, son of Athenaeus, is in the quintuple Cretic meter throughout. The first nine of the ten sections of the Second Hymn, by Limenius, are also in Cretic meter. In addition to the Cretic meter, which consisted of a long-short-long pattern, ancient Greek music had seven other quintuple meters: Bacchic (L-L-S ), Palimbacchic (or antibacchic: S-L-L), four species of Paeanic (L-S-S-S, S-L-S-S, S-S-L-S—which is a composite of pyrrhic and trochee—and S-S-S-L), and hyporchematic (S-S-S-S-S).
Asia, Transcaucasia, and the Middle East
Arabic theorists already in the early Abbasid period (AD 750–900) described modal rhythmic cycles (īqā‘āt), that included quintuple meters, though taxonomies and terminology vary amongst writers. The first figure to describe these rhythms was Abū Yūsuf Ya‘qūb al-Kindī (ca 801–ca 866), who divided them into two broad categories, ṯẖaqīl ("heavy", meaning slow) and khafīf ("light", meaning quick). Two of his ṯẖaqīl modes—ṯẖaqīl thānī ("second heavy", S-S-L-S) and ramal (L-S-L)—and one khafīf mode are quintuple. The most important writers of the later Abbasid period (AD 900–1258) were Abū Naṣr al-Fārābī (d. 950) and Ibn Sīnā (d. 1037). Al-Fārābī elaborated the rhythmic system established a century earlier by another important early-Abbasid musician, Isḥāq al-Mawṣilī, who had based it on local traditions, without any knowledge of classical Greek music theory. Isḥāq’s and al-Fārābī's system consisted of eight rhythmic modes, the third and fourth of which were quintuple: called ṯẖaqīl thānī ("second heavy"), and khafīf al-ṯẖaqīl thānī ("second light heavy"), both of which are short-short-short-long, in slow and fast tempo, respectively. This terminology and these definitions continued to be found as late as the 12th century in Muslim Spain, for example in a document by Abd-Allāh ibn Muḥammad ib al-Ṣīd al-Baṭaliawsī.
In the Moroccan Malḥūn repertory—an urban song style closely associated with Andalusian music—5/8 rhythms are sometimes introduced into the basic metre of 2/4. Turkish classical music employs a system of rhythmic modes (called usul), which include units ranging from two to ten time units. The five-beat meter is called türk aksağı.
The cyclically repeating fixed time cycles of Carnatic and Hindustani classical music, called tālas, include both fast and slow quintuple patterns, as well as binary, ternary, and septuple cycles. In the Carnatic system, there is a complex "formal" system of tālas which is of great antiquity, and a more recent, rather simpler "informal" system, comprising selected tālas from the "formal" system, plus two fast tālas called Cāpu. The slow quintuple tāla, called Jhampā is from the formal system, and consists of a pattern of 7 + 1 + 2 beats; the fast quintuple tāla is called khaṇḍa Cāpu or ara Jhampā, and consists of 2 + 1 + 2 beats. However, the pattern of beats marking the rotation of the cycle does not necessarily indicate the internal rhythmic organization. For example, although the Jhampā tāla, in its most common miśra variety, is governed by 7 + 1 + 2, the most characteristic rhythm of melodies in this tāla is (2 + 3) + (2 + 3).
The tālas in Hindustani music are somewhat more complicated. To begin with, they are not systematically codified, but rather comprise a miscellany of patterns from a number of different repertories. Secondly, the counting units (mātrā) of each tāla are grouped into segments called vibhāg, which constitute slower "beats" of from 1½ to 5 of those counting units. Third, in addition to the sounded vibhāg, marked by hand-claps (tālī), there are also vibhāg marked only by a wave of the hand—the so-called khālī beats. The two quintuple tālas in these repertories are Jhaptāl—2 + 3 + (2) + 3—and Sūltāl—2 + (2) + 2 + 2 + (2). Both are measured by ten mātrā units, but Jhaptāl is divided into four unequal vibhāg (the third being a khālī beat) in two halves of five mātrā each, and Sūltāl is divided into five equal vibhāg, the second and fifth of which are khālī.
The kasa repertory of traditional Korean court music often employs cycles in quintuple time, even though Korean traditional music terminology has no specific term for it, and the meter is rarely found in Korean folk music. This repertory can be traced back in some cases to the fifteenth century, and quintuple is the oldest surviving traditional Korean meter.
European folk music
Many European folk and traditional repertories also feature quintuple meter. This is particularly true of Slavic cultural groups. In north-eastern Poland, for example (especially in Kurpie, Masuria, and northern Podlaskie), five-beat bars are frequently found in wedding songs, with rather slow tempos and not accompanied by dancing. In the south, the dance ozwodny has five-bar phrases. Traditional Russian wedding songs also are in quintuple time. The Poles and Russians share this proclivity for quintuple meter with the Finns, Sames (Lapps), Estonians, and Latvians. In Finland, the Kalevalaic "runometric" songs are the most distinctive feature of folk music, and the most common melody of these epic songs is in quintuple meter. This melody was described in the oldest study of runo singing in 1766, but first published in a musical transcription only about 20 years later. One South Slavic example is recorded in a manual published in 1714 by the Venetian dancing master Gregorio Lambranzi. It is a forlana titled "Polesana", probably meaning "From Pola", a city in Istria—today a part of Croatia but a Venetian possession until 1947. Although Lambranzi notated this dance in 6/8 time, its recurring phrase structure shows it to be in compound-quintuple time, so that its correct form is actually written in 15/8.
Spanish folk music is also noted for the use of quintuple meter, particularly well-known examples being the Castilian rueda and the Basque zortziko, but it is also found in the music of Extremadura, Aragon, Valencia, and Catalonia. Some types of the folk dances collectively referred to as gavottes, and stemming from Lower Brittany in France are in 5/8 metre, though 4/4, 2/4, and 9/8 are also found. In the Alsatian region of Kochersberg, a peasant dance called the Kochersberger Tanz is in 5/8 time, and is similar to a dance of the Upper Palatinate in Bavaria called Der Zwiefache or Gerad und Ungerad, because it alternates even and uneven bars (2/8 and 3/8).
European art music
Medieval and Renaissance
In European art music it only became possible in the 14th century to notate quintuple rhythms unambiguously, through the use of minor or reversed coloration. In some instances from the late-14th-century Ars subtilior period, quintuple passages occur which are long enough to regard as an established meter. For example, in the secunda pars of an anonymous two-voice Fortune (MS Paris, Bibliothèque Nationale ital. 568, fol. 3), a "clear and definite rhythm" in the upper part creates a 5/8 meter set against the 6/8 of the lower part. The earliest complete European compositions in quintuple time, however, appear to be seven villancicos in the Cancionero Musical de Palacio, which were composed between 1516 and 1520. Notation of the quintuple meter in these seven pieces is achieved in various ways:
- Juan del Encina uses the mensuration 5/1 in "Amor con fortuna", but in "Tan buen ganadico", he uses a signature of 32/52.
- Juan de Anchieta uses 5/1, the proportio quintupla, in both "Con amores, mi madre", and "Dos ánades, madre".
- The anonymous "Pensad ora’n al" uses the mensuration C5/2.
- "Las mis penas madre" by Pedro de Escobar and "De ser mal casada" by Diego Fernández both use just the proportion sign 5/2.
Other examples from the 16th century include the In Nomine "Trust" by Christopher Tye, the "Qui tollis" section of Jacob Obrecht’s Missa "Je ne demande", the "Sanctus" from the Missa Paschalis by Heinrich Isaac, and the final "Agnus Dei" of Antoine Brumel's Missa "Bon temps". Keyboard examples from this period include the first half of an English setting of the offertory Felix namque from about 1530, and a passage in no. 41 of the Libro de tientos (1626) by Francisco Correa de Arauxo.
Baroque and Classical
In the Baroque and Classical eras quintuple meter is, if anything, even less frequently encountered than in the Renaissance. Two brief passages of 5/8 occur in the "mad scene" (act 2, scene 11) from Handel's opera Orlando (1732), first at the words "Già solco l’onde" ("Already I am cleaving the waves") when the demented hero believes he has embarked on Charon’s boat on the Styx, and then again two bars later. Charles Burney found this whole scene admirable, as a portrait of Orlando's madness, but observed that "Handel has endeavoured to describe the hero's perturbation of intellect by fragments of symphony in 5/8, a division of time which can only be borne in such a situation". Burney's German contemporary, Johann Kirnberger, also felt that "No one can repeat groups of five and even less of seven equal pulses in succession without wearisome strain". Another exceptional 18th-century example is an entire aria composed in 5/4 time, "Se la sorte mi condanna" found in Andrea Adolfati's opera Arianna (1750), but the English theatre composer William Reeve, with the last movement of his Gypsy's Glee (1796), to the words "Come, stain your cheeks with nut or berry" (in 5/4 time) is credited with having composed an example in true quintuple time, "for instead of the usual division of the bar into two parts, such as might be expressed by alternate bars of 3-4 and 2-4, or 2-4 and 3-4, there are five distinct beats in every bar, each consisting of an accent and a non-accent. This freedom from the ordinary alternation of two and three is well expressed by the grouping of the accompaniment, which varies throughout the movement…"
There appear to have been several motivations for composers to use quintuple time: (1) to demonstrate technical skill, as in the Tye and Correa de Arauxo examples, (2) to produce an atmospheric effect, or to suggest unease or unusual excitement, as in Handel's Orlando. In the 19th century, a third motivation arises with the rise of nationalistic music, which often invokes folk-music elements. In any case, quintuple time becomes much more frequent (though still not common) in the 19th century. Early examples include Fugue 20 (Allegretto) from Anton Reicha’s Trente-six fugues for piano (1805), the tenor aria "Viens, gentille dame" from act 2 of François-Adrien Boieldieu’s opera La dame blanche (1825), and the third movement (Larghetto, con molta espressione), from Frédéric Chopin’s Piano Sonata No. 1 in C minor, op. 4 (1828). Although Reicha's fugue probably falls into the category of technical skill, the composer does mention taking as a model for the meter the Alsatian Kochersberger Tanz. Nationalistic influence is clearer in the operas of the Russian composer Mikhail Glinka. The "Nuptial chorus and scene" from act 3 of the opera A Life for the Tsar (1834–36) was the first time a composer of art music set the pentasyllabic hemistichs of Russian wedding songs in quintuple meter instead of adapting it to a more conventional one. In his next opera, Ruslan and Lyudmila (1837–42) Glinka repeated the effect in the opening of act 1, where the chorus sings an epithalamium to Lel’, the Slavonic god of love, once again in quintuple time. Later Russian examples are found in Tchaikovsky's folk-song settings: Fifty Russian Folk Songs for piano four-hands (1868–69), Children's Ukrainian and Russian Folksongs (book 1: 1872, book 2: 1877), and Sixty-Six Russian Folk Songs for voice and piano (1872), where quintuple meter is notated by regularly alternating signatures, usually 3/4 and 2/4.
Shorter passages also occur in the music of Hector Berlioz: La tempête (1830), has "quintuple metre for a whole section, notated in compound duple; 'bars' of 15/4 are defined by a recurring rhythmic pattern and by accents (six 'bars' covering bars 289–306 in the 6/4 notation)", and the "Combat de ceste" (No. 5), from Les troyens (1856–58), has "an attractive 5/8 section, only eight bars long".
From around the middle of the century, there is Carl Loewe's ballad for voice and piano, Prinz Eugen, der edle Ritter, op. 92 (to the poem by Ferdinand Freiligrath, 1844), which is in 5/4 time throughout Ferdinand Hiller's Piano Trio No. 4, op. 64 (1855) and Rhythmische Studien for piano, and a String Trio by K. J. Bischoff, which was awarded a prize by the Deutsche Tonhalle in 1853. The piano virtuoso Valentin Alkan showed an interest in unusual rhythmic devices, and composed at least four keyboard pieces in quintuple time: the first three of the Deuxième recueil d’impromptus, op. 32, no. 2 (1849), Andantino, Allegretto, and Vivace (the fourth and last piece in this collection is in septuple meter), and a 5/4 "Zorzico dance" episode in the Petit Caprice, réconciliation, op. 42 (1857). In opera, Wagner, inserted several 5/4 bars in "Tristan, der Held, in jubelnder Kraft", in act 3 of Tristan und Isolde (1856–59). Another instance from around this same time is found in Anton Rubinstein's "sacred opera" Der Thurm zu Babel (The Tower of Babel), op. 80 (1868–69). At the very end of the century, Alban Berg used 5/4 meter throughout his song-setting of Theodor Storm's poem, "Schließe mir die Augen beide" (1900).
Three of the best-known examples of quintuple meter in the symphonic repertoire are from late in the neoromantic (or post-romantic) period, which reaches from the mid-19th century through World War I: the second movement, "Allegro con grazia", of Tchaikovsky's Symphony No. 6 in B minor, "Pathétique", op. 74 (1893), Rachmaninoff's The Isle of the Dead, op. 29 (1908), and the opening movement, "Mars, the Bringer of War", of The Planets (1914–16) by Gustav Holst. The Finnish composer Jean Sibelius used a pattern of quintuple meter in the third movement of Kullervo (1891–92), where “the orchestra maintains a pattern of five beats in a bar, while the chorus elongates its lines to phrases of fifteen, ten, eight, and twelve beats, respectively”. These are Karelian rhythms, reflecting nationalism in Sibelius's music. He used these quintuple meters as well in several male-chorus works: “Venematka” (no. 3 from Six Partsongs, op. 18, 1893), the third movement, “Hyvää iltaa, lintuseni”, from Rakastava, op. 14 (1894), and “Sortunut ääni” (no. 1 from Six Partsongs, op. 18, 1898).
In 1895, the British composer Samuel Coleridge-Taylor wrote the second movement, "Serenade", of his Fantasiestücke, op. 5, for string quartet in 5/4 time. A little more than ten years later, the Scottish composer Robert Ernest Bryson wrote a string-orchestra fantasy titled Vaila in 5/4 time.
In the piano repertoire, the "Promenade", from Modest Mussorgsky's Pictures at an Exhibition (1874), has five versions, in each of which 5/4 is mixed with other metres, regularly or irregularly: (1) 5/4 alternates with 6/4 for eight bars, then two 6/4s and one pair of 5/4 + 6/4, ending with twelve bars of 6/4; (2) 5/4 alternates regularly with 6/4 throughout (effectively 11/4); (3) regular alternation of 5/4 and 6/4 until the final two bars, which are 5/4 and C; (4) irregular mixture of 5/4, 6/4, and 7/4, with a single 3/4 bar at the end; (5) four pairs of regularly alternating 5/4 and 6/4, then an irregular mixture of 5/4, 6/4, and 7/4 to the end. To this same period (and to the Russian tradition) also belongs "Prizrak" (Phantom), in 5/8 time, which is no. 4 of Sergei Prokofiev's Four Pieces for Piano, op. 3 (1911).
These examples are all simple quintuple time. Compound quintuple meter is less frequent, but an instance is found in the middle section of the third movement, "Andante grazioso", of Johannes Brahms's Trio No. 3 in C minor for Piano, Violin, and Violoncello, op. 101 (1886), which is in 15/8 with 9/8 turnarounds. "Fêtes", the second movement of Claude Debussy's Nocturnes for orchestra, also has a recurring passage of two 15/8 bars, embedded in a context of mainly compound triple (9/8) bars.
The common occurrence of quintuple meter in many folk-music traditions caused an increase in its appearance in the works of composers with nationalistic tendencies in the early 20th century. Examples are the Prelude in the Unison from George Enescu's Orchestra Suite No. 1, Op. 9 (1903), "In Mixolydian Mode", "Bulgarian Rhythm (2)", and the third of "Six Dances in Bulgarian Rhythm", nos. 48, 115, and 150 from Béla Bartók's Mikrokosmos (1926, 1932–39), the "Chanson épique", no. 2 from Maurice Ravel's song cycle Don Quichotte a Dulcinée (1932–33), and the first theme group of Carlos Chávez's Sinfonía india (1935–36), which is predominantly in 5/8 time, but mixed with other meters. Another impulse for the use of quintuple meter was to evoke pagan and specifically Ancient Greek culture. The 5/4 meter of the bacchanalian "Danse générale" concluding Ravel's ballet Daphnis et Chloé (1909–12) is a particularly well-known example. In his First Symphony, the Sinfonía de Antígona (1933), Carlos Chávez reworked incidental music he had composed in 1932 for a production of Sophocles' Antigone in the adaptation by Jean Cocteau. In this symphony Chávez made extensive use of the Greek paeonic (or cretic) meter, notated in 5/8 time in the score.
A third example from Ravel is a particularly intense, if brief use of quintuples for symbolic purposes. This is Frontispice for two pianos (1918), written at the request of Ricciotto Canudo to accompany a philosophical meditation on World War I, titled S.P. 503, le poème du Vardar. Canudo's title bears the numerical designation of the postal sector of his combat division, and Ravel used the numbers as the basis of his composition. Five staves of music, "‘progressing’ vertically from flats through naturals to sharps, are played by five hands (three players) in metres of 15/8 (i.e., 3 × 5; 3 + 5) and 5/4".
The Basque setting of Pierre Loti’s play Ramuntcho made the inclusion of Basque traditional melodies in the incidental music composed for it in 1907 by Gabriel Pierné a natural choice. Pierné included at the end of act 2 an arrangement of the Basque anthem Gernikako Arbola by José María Iparraguirre, which is in zortziko rhythm, but he also quotes traditional zortziko melodies, as well as imitating their quintuple rhythms, in the opening "Ouverture sur des thèmes populaires basques" as well as in the "Rapsodie basque" that serves as an interlude between the first and second tableaux of act 2. Pierné, who was attracted to quintuple meter as part of a broader taste for exoticism, also employed quintuple meter in his Piano Quintet, op. 41 (1917), and in the Fantaisie basque, op. 49 (1927), for violin and orchestra. The outer sections of the second movement of the Quintet are in 5/8 time, and marked "Sur une rythme de Zortzico", while the contrasting central section superimposes 20/8 on 4/2 time, in "quadruple quintuple" meter. In the Fantaisie, a long section near the beginning is in 5/8 time, and is marked "Rythme de Zortzico".
Igor Stravinsky's name is often associated with rhythmic innovation in the 20th century, and quintuple meter is sometimes found in his music—for example, the fugato variation in the second movement of his Octet (1922–23) is written almost uniformly in 5/8 time. Much more characteristically, however, quintuple bars in Stravinsky's scores are found in a context of constantly changing meters, as for example in his ballet The Rite of Spring (1911–13), where the object appears to be the combination of two- and three-note subdivisions in irregular groupings.
This treatment of rhythm subsequently became so habitual for Stravinsky that, when he composed his Symphony in C in 1938–40, he found it worth observing that the first movement had no changes of meter at all (though the metrical irregularities in the third movement of the same work were amongst the most extreme in his entire output).
So many other composers followed Stravinsky's example in the use of irregular meters that the occasional occurrence of quintuple-time bars becomes unremarkable from the 1920s onward. This is as true for composers regarded as conservative as for those labeled "progressive" or "avant garde". Examples in conservative styles include Gustav Holst's A Choral Fantasia, op. 51 (1930), where bars 23–24 and 199–200 are in 5/4, Benjamin Britten's String Quartet No. 2, op. 35 (1945), where the eleventh bar after rehearsal K in the first movement, "Allegro calmo senza rigore", is in 5/4, and all three movements of Samuel Barber’s String Quartet, op. 11 (1936): 5/4 bars are found in the outer movements—bars 28, 49, 55, 174, and 180 of the opening "Molto allegro e appassionato", and bar 19 of the "Molto allegro (come prima)" finale—and three 5/2 bars (4, 31, and 60) in the central "Molto adagio"—the well-known Adagio for Strings. Examples in more progressive styles are found in Béla Bartók's Sonata for Two Pianos and Percussion (third movement, Allegro non troppo, bars 325–29), and in the works of the Argentine Alberto Ginastera, both in his early, nationalistic works, and in his later, "neo-expressionist" style: The four bars preceding rehearsal 66 in "Los peones de hacienda", from the ballet Estancia, op. 8 (1941) are in 5/8, bars 16 and 21 of "In the First Pentatonic Major Mode (En el 1er modo pentáfono mayor)", no. 12 from 12 American Preludes for piano (1944) is in 5/2), and bar 179 of the third movement, "Vivace", of the Harp Concerto, op. 25 (1956–65) is in 5/16.
Amongst entire movements with a constant five-to-a-bar rhythm is the second-movement "Lament" of the Double Concerto for Two Violins and Orchestra, op. 49 (1929), by Gustav Holst. One particularly notable pre–World War II quintuple-meter composition is the popular first movement, "Aria (Cantilena)" (1938), of the Bachianas Brasileiras no. 5 by Heitor Villa-Lobos (the second movement was added only in 1945). The opening and closing parts of this aria for soprano and orchestra of cellos is predominantly in 5/4, and the middle section is entirely in that meter.
In the post-war period, Benjamin Britten set "Green Leaves Are We, Red Rose Our Golden Queen", the opening chorus from his opera Gloriana, op. 53 (1952–53, rev. 1966), in 5/4 time. Dmitri Shostakovich set Fugues 12, 17, and 19 from his Twenty-Four Preludes and Fugues for piano, op. 87 (1950–51) entirely in 5/4 time, and also interspersed this time signature with other meters in Preludes 9, 20, and 24, and in Fugues 15 and 16 from the same collection.
Quintuple meter is sometimes employed to characterize particular variations of works in variation form. Examples include the third movement, "Variations on a Ground", from the Double Concerto for Two Violins and Orchestra, op. 49 (1929), by Gustav Holst (11th and 18th variations in 5/4), "Variation IV: Più mosso" (in 5/8 time), in Part I of The Age of Anxiety: Symphony No. 2 (1949) by Leonard Bernstein. Britten composed his Canticle III ("Still Falls the Rain"), op. 55 (1954), in variation form, with the "Theme", "Variation IV", and "Variation VI" all in 5/4. In a similar fashion, extended single-movement compositions may set off large sections by using contrasting meters. Quintuple meter is used in this way by Rob du Bois in his Concerto for Two Violins and Orchestra (1979), where bars 160–75 and 227–77 are in 5/8.
In the minimal music that emerged in the late 1960s, quintuple meter is not often encountered. A rare exception is found in an early work by Steve Reich, Reed Phase (1966), which is built on the constant repetition of a five-note basic unit in steady quavers.
Reich was not satisfied with the result, largely because of the failure of the meter to produce the kind of rhythmic ambiguity found in the 12-beat patterns he came to favour,
which can divide up in very different ways; and that ambiguity as to whether you’re in duple or triple time is, in fact, the rhythmic life-blood of much of my music. In this way, one’s listening mind can shift back and forth within the musical fabric, because the fabric encourages that. But if you don’t build in that flexibility of perspective, then you wind up with something extremely flat-footed and boring.
Reich's 1979 Octet (originally scored for two pianos, string quartet, and two wind players who perform on both flutes and clarinets), revised and rescored as Eight Lines) is entirely in quintuple time.
Jazz and popular music
Until after the Second World War, quintuple time was virtually unheard of in the American genres of jazz and popular music. When in 1944, Stravinsky was commissioned by Billy Rose to compose a fifteen-minute dance component to be incorporated into his Broadway revue, The Seven Lively Arts, Stravinsky composed Scènes de ballet, to be choreographed by Anton Dolin. Rose was enthusiastic about the new score when initially he saw the piano reduction made by Ingolf Dahl, but later was dismayed by the sound of the orchestra, and offended the composer by telegraphing the suggestion that Stravinsky should allow the scoring to be "retouched" by Robert Russell Bennett, who "orchestrates even the works of Cole Porter". Whole sections of the score had to be cut for the Philadelphia premiere, because the New York pit musicians, accustomed to the conventions of Broadway musicals of that period, were unable to manage the 5/8 bars that feature in Stravinsky's score. A dozen years later, things were changing in musical theater in New York. Leonard Bernstein's Candide opened on Broadway in December 1956, and featured a variety of meters that Billy Rose's musicians would have found as impossible as Stravinsky's. In act 1, the quartet "Universal Good" is a chorale in 5/4 time, and the main verses of "Ballad of Eldorado" in act 2 are in 5/8, with turnarounds in 7/8 or 3/4 + 7/8. Later examples in musical theatre include the song "Everything's Alright", from Jesus Christ Superstar (1971), by Andrew Lloyd Webber, which is mainly in 5/4, and "Ladies in Their Sensitivities" from Stephen Sondheim's Sweeney Todd (1979), which is in 5/8. Sondheim also alternates 5/4 with 4/4 (at the passage beginning "Living like a shut-in") and 5/4 and 6/4 (at "All I ever dreamed I’d be") in the song “In Buddy’s Eyes” from Follies (1971).
In 1959, the Dave Brubeck Quartet released Time Out, a jazz album with music in unusual meters. It included Paul Desmond's "Take Five", in 5/4 time. Against all expectations, the album went platinum, and "Take Five" became a jazz standard.[not in citation given] Brubeck had studied with the French composer Darius Milhaud, who in turn had been strongly influenced by Stravinsky, and is credited with the systematic introduction of asymmetrical and shifting rhythms that sparked a far-reaching surge of interest in jazz and popular music in the 1960s. Starting in 1964, the trumpeter and band leader Don Ellis sought to fuse traditional big-band styles with rhythms borrowed from Indian and Near Eastern music. One of his largest works, for example, Variations for Trumpet, is divided into six sections with meters including 5/4, 9/4, 7/4, and 32/8. Two other Ellis compositions are entirely in 5/4 time: "Indian Lady" and "5/4 Getaway". In 1966, the popular American television drama series Mission: Impossible began a five-season run, with the 5/4 "Theme from Mission: Impossible", by Lalo Schifrin. Thirty years later, it remained his most famous composition.
In the late 1960s, quintuple meters began to appear with some frequency in rock-music contexts as well, where exploration of meters other than 4/4 became one of the hallmarks of progressive rock. One of the earliest examples is "Within You Without You" by George Harrison, recorded on The Beatles' Sgt. Pepper's Lonely Hearts Club Band LP of 1967. In the next two years, 5/4 meter occurred in another Beatles song by John Lennon and Paul McCartney: "Happiness Is a Warm Gun" (Isolated 5/4 bars also end phrases in "Across the Universe".) Under the spell of Brubeck, Keith Emerson of Emerson, Lake & Palmer began exploring unusual meters at about this same time. His first quintuple-meter piece was "Azrael, the Angel of Death", written in 1968, and the meter cropped up again three years later in the opening instrumental section, "Eruption", of the title track and some later passages from the album Tarkus.
Other examples of quintuple meter in popular music
- "Bane's theme" (from The Dark Knight Rises), by Hans Zimmer.
- "Dance of the Little Fairies", by English group Sky (five beats in the bar).
- "Donkey Carol", a Christmas carol by John Rutter (5/8).
- "Do What You Like", by Ginger Baker.
- "English Roundabout", by XTC.
- "5/4" by Gorillaz (5/4).
- "Halloween Theme (main title)" (from Halloween), by John Carpenter
- "Hangin' Tree" by Queens of the Stone Age (5/8).
- "Here Come The Bastards", by Primus (5/4).
- "Isengard Theme" (from The Lord of the Rings film trilogy), by Howard Shore.
- "Kamisama no Shitauchi", by Akeboshi (5/4).
- "Last Night", by Vanessa Hudgens 
- "Living in the Past" by Jethro Tull (5/4).
- "The Man from U.N.C.L.E." (man theme) by Jerry Goldsmith (5/4).
- "River Man", by Nick Drake (5/4).
- "Seven Days" by Sting ((3+2)/4).
- "Wind", by Akeboshi (5/4).
Partially in quintuple time
- "Animals" by Muse.
- "Erotomania" (part I of III of the suite called A Mind Beside Itself) from Awake, by Dream Theater. Begins with 5/4 + 5/4 + 5/4 + 9/8, then 5/4 + 5/4 + 5/4 + 3/4 + 3/4 + 2/4, then 11/8 + 10/8 etc.
- "The Fixer" by Pearl Jam. The song begins in 5/4 but most of it is in 6/4 and 4/4.
- "Four Sticks" by Led Zeppelin. Verses alternate 5/4 and 3/4 passages; choruses are in 3/4.
- "The Grudge" by Tool.
- "Moon" by Björk (17/8 and 5/8).
- "Mother" (from The Wall) and "Two Suns in the Sunset" (from The Final Cut), both by Pink Floyd (5/4).
- "My Wave" by "Soundgarden", verse in 5/4.
- "Prequel to the Sequel" by Between the Buried and Me has some scattered bars in 5/8 and other time signatures.
- "Red" by King Crimson, from the album Red (5/8).
- "Rosetta Stoned" by Tool.
- "Sound Chaser" by Yes, main theme in 5/4.
- "The Trees" by Rush.
- "We Are the Involuntary" by Underoath has some bars that can be transcribed in 5/4.
- "YYZ" by, Rush, opens in 5/4.
- Read 1964, 152.
- West 1992, 304–307.
- Read 1964, 161 and 164–65.
- Hornsby 1995.
- Pöhlmann and West 2001, 70–71 and 85.
- Salinas 1577, 251–53.
- Wright and Poché 2001, 2 (iv).
- Neubauer 2001.
- Sawa 2004, 164–66.
- Sawa 2004, 151–54; Neubauer 2001.
- Schuyler 2001.
- Reinhard and Stokes 2001.
- Dolidze et al. 2001, III, 1 (ii).
- Powers 2001, (i).
- Powers 2001, (iii).
- Powers 2001, (iv).
- Condit 1978, 3 and 7; Lee 1981, 119 and 123.
- May and Wild 1967, 210, 216.
- Johnston 1989, 424, 431.
- Taruskin 1992a; Taruskin 1992b.
- Stęszewski 2001.
- Asplund 1985, 28.
- Heartz 1999, 144–46.
- Cunningham and Aiats 2001, 2(ii)(a).
- Little 2001.
- Engel 1876, 12.
- Chianis and Brandl 2001.
- Hiley 2001.
- Apel 1961, 401.
- Hiley 2001; Schmitt 1995.
- Tye 1967, 39–42, transcribed in 5/4 throughout by the editor, Robert W. Weidner. Paul Doe (1988, 105–107), transcribes the same piece in 5/4 except for one passage of 40 beats, which he renders as ten bars of 4/4 instead of eight bars of 5/4, on the grounds that "repeated notes in the CF permit a harmonic structure based on a normal duple metre" (Doe 1988, 150).
- Hudson 2001.
- Burney 1789, 4:364.
- Kirnberger  1982, 383.
- Hansell and Steffan 2001; Hiley 2001.
- Taylor 1890, 3:61.
- Reicha 1973, 2:35–40.
- Helmore 1879, 15; Hiley 2001.
- Chopin 1976, 19–21.
- Taruskin 1992a; Glinka 1907, 262–64.
- Taruskin 1992b.
- Kroetsch 1996, 18.
- Rushton 1983, 128.
- Loewe [ca. 1900].
- Taylor 1890.
- Eddie 2007, 104; MacDonald 2001.
- Eddie 2007, 110.
- Wiehmayer 1917, 79.
- Berg 1955, 1.
- Tschaikowsky [n.d.], 58–87; Hiley 2001.
- Rachmaninoff 2003.
- Holst 1979, 1–31.
- Ross 2007.
- Hepokoski 2001.
- Richards 1987, 568.
- Young and Montagu 1975, 79.
- Mussorgsky 1914, 2–3, 7, 12, 18, 24–25.
- Prokofiev 1926, 8–9; Nice 2003, 50; first 24 bars.
- Brahms 1972, 134–37 of the score (= piano part).
- Debussy 1941, 74–83
- Voicana et al. 1971, 1:231.
- Bartók 1940 2:13, 4:36–37, and 6:42–44.
- Ravel 1934.
- Chávez 1950, 2–7; García Morillo 1960, 90–92, 186.
- Mawer 2000b, 144, 149
- García Morillo 1960, 76; Chávez 1948, 8–10, 13, 20–22.
- Mawer 2000a, 52–53; Ravel 1975.
- Pierné 1908c, 62–63.
- Pierné 1908b; Pierné 1908c, 1–15
- Pierné 1908a, 7–25, specifically 15–18; Pierné 1908c, 48–61.
- Masson 2001.
- Pierné 1919, 24–34, 38–47.
- Pierné 1919, 34–38.
- Pierné 1928, 12–20.
- White 1979, 311.
- White 1979, 212–13.
- White 1979, 404–405.
- Holst 1977, 3, 30–31.
- Britten 1946, 15.
- Barber 1943, 2–4, 9–10, 14.
- Barber 1943, 11–13.
- Bartók 1942, 88–89.
- Ginastera 1955, 18.
- Ginastera 1946, 1:12–13.
- Ginastera 1974, 101.
- Holst 1973, 13–14.
- Villa-Lobos 1947.
- Howard 1969, 108.
- Kroetsch 1996, 69–70.
- Holst 1973, 17–18, 22.
- Bernstein 1993, 12–16.
- Britten 1956, 1, 9, and 15.
- Bois 1979, 28–30 and 39–42.
- Potter 2000, 181.
- Reich 2002, 130.
- Reich 1979; Reich 1998.
- White 1979, 420–21.
- Craft 2007, 6.
- Bernstein 1994, 40, 180–85.
- Lloyd Webber and Rice 1970, 12–17.
- Horowitz and Sondheim 2010, 141.
- Horowitz and Sondheim 2010, 206.
- Kernfeld 2002, §1: Meter.
- Macan 1997, 47.
- Dickow 2002.
- Fenlon 2002, 35, 87–88.
- Karger 1996.
- Fujita et al. 1993, 1037–48.
- Macan 1997, 47–48.
- Fujita et al. 1993, 353–58.
- Fujita et al. 1993, 12-17.
- Macan 1997, 48.
- Emerson, Lake, and Palmer 1980.
- Sliwa 2005.
- Rutter 1976.
- Gutmann 2003.
- Katzif 2008.
- Anon. n.d.(b).
- Spencer 2008, 245.
- http://www.oddtimeobsessed.com/playlists/. Retrieved 2013-12-26. Missing or empty
|title=(help)Homme, Alain Johannes 2002.
- Primus 2000, 1:43–46.
- Howard Shore, commentary track, The Lord of the Rings: The Fellowship of the Ring. Extended Edition DVD.[full citation needed]
- Kkunurashima 2006.
- "RZA, Los Lonely Boys have new CDs - Billboard". Retrieved 2008-07-07.
- Spencer 2008, 67–68.
- Anon. n.d.(d).
- IrishDrummerGuy 2011.
- Anon. n.d.(c).
- Anon. 2009.
- Cohen 2009.
- Led Zeppelin 1973, 118–23.
- "The first riff in 5/4 is driving, but it’s almost like a straight 4/4 line to me" (Shiraki and Bradman 2001, 6).
- Dibben 2011.
- Classic Rock Magazine, Vintage Pink Floyd Interview
- Drozdowski 2011.
- "I think "Red" [from the Crimson LP of the same name] was a beautiful piece of Heavy metal--in 5 [the unusual time signature 5/8]. I mean, I hadn't heard heavy metal in 5 before, but for me that was it.", interview in Reflex Magazine februari 5, 1991. Available through: http://www.elephant-talk.com/wiki/Interview_with_Robert_Fripp_in_Reflex_Magazine
- Bennett 2008, 105.
- Yes 1981,[page needed].
- Anon. n.d.(a)
- NatuMz n.d.
- Reuland 2011, 61, 66.
- Anon. n.d.(a). "The Trees by Rush". Songfacts 2011 website. (Accessed 1 January 2011)
- Anon. n.d.(b). "5/4" Gorillaz Songs website (Accessed 8 May 2012).
- Anon. n.d.(c). "The 2nd Law". Discography World (Accessed 2 August 2013).Template:Verify reliability
- Anon. n.d.(d). One Hundred Best Tracks of the Sixties: No. 66, Nick Drake, River Man NME 60 Years of New Music website (accessed 30 January 2015).
- Anon. 2009. "Erotomania–Guitar Tab". Guitar World (archive from 20 July 2010).
- Apel, Willi. 1961. The Notation of Polyphonic Music 900–1600, fifth edition, revised and with commentary. The Medieval Academy of America Publication no. 38. Cambridge, Massachusetts: The Medieval Academy of America.
- Arlin, Mary I. 2000. "Metric Mutation and Modulation: The Nineteenth-Century Speculations of F.-J. Fétis". Journal of Music Theory 44, no. 2 (Autumn): 261–322.
- Asplund, Anneli. 1985. "Runometriska sånger". Sumlen: Årsbok för vis- och folkmusikforskning: 23–52.
- Barber, Samuel. 1943. String Quartet, op. 11. G. Schirmer’s Edition of Study Scores of Orchestral Works and Chamber Music 28. New York: G. Schirmer.
- Bartók, Béla. 1940. Mikrokosmos: Progressive Piano Pieces = Pièces de piano progressives = Zongoramuzsika a kezdet legkezdetétöl, 6 vols. New York and London: Boosey & Hawkes.
- Bartók, Béla. 1942. Sonata for Two Pianos and Percussion. London: Hawkes & Son (Ltd.).
- Bennett, Dan. 2008. The Total Rock Bassist: A Fun and Comprehensive Overview of Rock Bass Playing. Includes CD with demonstration tracks. Van Nuys, CA: Alfred Publishing Co.,
- Berg, Alban. 1955. Zwei Lieder/Two Songs. [Two settings of "Schließe mir die Augen beide", by Theodor Storm. English version by Eric Smith.] Vienna: Universal Edition.
- Bernstein, Leonard. 1993. The Age of Anxiety: Symphony No. 2, for piano and orchestra, after W. H. Auden, revised version, full score, corrected edition. [New York]: Jalni Publications, Inc., Boosey & Hawkes.
- Bernstein, Leonard. 1994. Candide: A Comic Operetta in Two Acts, Scottish Opera edition of the opera-house version (1989). Book by Hugh Wheeler, based on the satire by Voltaire; lyrics by Richard Wilbur, with additional lyrics by Stephen Sondheim, John Latouche, Dorothy Parker, Lillian Hellman, and Leonard Bernstein; edited by Charles Harmon. [New York]: Jalni Publications, Inc.; Boosey & Hawkes.
- Bois, Rob du. 1979. Concert voor twee violen en orkest. Amsterdam: Donemus.
- Brahms, Johannes. 1972. Trios, für Klavier, Violine und Violoncello, nach Eigenschriften, Erstausgaben und Handexemplaren des Komponisten hrsg. von Ernst Herttrich; Fingersatz der Klavierstimme von Hans-Martin Theopold. Munich: G. Henle Verlag.
- Britten, Benjamin. 1946. Quartet No. 2 in C, op. 36. London: Boosey & Hawkes.
- Britten, Benjamin. 1956. Canticle III ('Still Falls the Rain'), op. 55, for tenor, horn, and piano. Words by Edith Sitwell. London, Paris, Bonn, Cape Town, Sydney, Toronto, Buenos Aires, New York: Boosey & Co., Ltd.
- Buchanan, Donna A. 2001. "Bulgaria: II. Traditional Music". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Burney, Charles. 1789. A General History of Music, from the Earliest Ages to the Present Period. To Which Is Prefixed, a Dissertation on the Music of the Ancients, second edition, 4 vols. London: Printed for the author and sold by T. Becket, J. Robson, and G. Robinson.
- Chávez, Carlos. 1948. Sinfonía de Antígona. G. Schirmer's Edition of Study Scores of Orchestral Works and Chamber Music, No. 45. New York: G. Schirmer, Inc.
- Chávez, Carlos. 1950. Sinfonía India. G. Schirmer's Edition of Study Scores of Orchestral Works and Chamber Music, No. 56. New York: G. Schirmer, Inc.
- Chianis, Sotirios, and Rudolph M. Brandl. 2001. "Greece, §IV: Traditional Music". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Chopin, Frédéric. 1976. Sonaten, kritisch revidiert von Herrmann Scholtz, Neue Ausgabe von Bronislaw von Pozniak. Frankfurt and New York: C.F. Peters.
- Cohen, Jonathan. 2009. "Pearl Jam: The 'Backspacer' Audio Q&As". Billboard (8 September) (Accessed 13 August 2013).
- Condit, Jonathan. 1978. "Uncovering Earlier Melodic Forms from Modern Performance: The Kasa Repertoire". Asian Music 9, no. 2 (Korean Music Issue): 3–20.
- Craft, Robert. 2007. ""Igor Stravinsky (1882–1971): Later Ballets". Liner booklet to Stravinsky, Later Ballets: Jeu de cartes, Danses concertants, Scènes de ballet, Variations, Capriccio for Piano and Orchestra, 4–8. Mark Wait (piano), Philharmonia Orchestra, London Philharmonic Orchestra, Twentieth Century Classics Ensemble, Orchestra of St Lukes; Robert Craft, cond. CD recording. Naxos 8.557506.
- Cunningham, Martin, and Jaume Aiats. 2001. "Spain, §II: Traditional and Popular Music". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Debussy, Claude. 1941. Nocturnes. Hampton Miniature Scores, vol. 7 (Berlioz, Bizet, Debussy), 69–96. New York: Edward B. Marks Music Corporation.
- Dibben, Nikki. 2011. "Moon: Analyse". www.bjork.fr (Accessed 8 May 2012).
- Dickow, Robert H. 2002. "Ellis, Don(ald Johnson)". The New Grove Dictionary of Jazz, second edition, edited by Barry Kernfeld. 3 vols. London: Macmillan Publishers. ISBN 0-333-69189-X.
- Doe, Paul (ed.). 1988. Elizabethan Consort Music: II. Musica Britannica 45. London: Stainer and Bell, published for the Musica Britannica Trust.
- Dolidze, Leah, Christian Hannick, Dali Dolidze, Grigol Chkhikvadze, and Joseph Jordania. 2001. "Georgia". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Drozdowski, Ted. 2011. "Soundgarden’s Meanest 10 Tunes". Gibson Lifestyle (18 March) (Accessed 22 May 2011).
- Eddie, William Alexander. 2007. Charles Valentin Alkan: His Life and His Music. Aldershot, England; Burlington, Vermont: Ashgate. ISBN 1-84014-260-X.
- Emerson, Keith, Greg Lake, and Carl Palmer. 1980. "Tarkus". [N.p.]: Manticore Music Ltd.
- Engel, Carl. 1876. Musical Myths and Facts, 2 vols. London: Novello, Ewer, & Co.
- Everett, Walter. 2008. The Foundations of Rock: From "Blue Suede Shoes" to "Suite: Judy Blue Eyes". New York: Oxford University Press. ISBN 978-0-19-531023-8.
- Fenlon, Sean. 2002. "The Exotic Rhythms of Don Ellis". DMA diss. Baltimore: Johns Hopkins University, Peabody Institute. ISBN 0-493-60448-0.
- Fujita, Tetsuya, Yuji Hagino, Hajime Kubo, and Goro Sato (transcribers). 1993. The Beatles Complete Scores. London: Hal Leonard Publishing Corporation. ISBN 0-7935-1832-6.
- García Morillo, Roberto. 1960. Carlos Chávez: vida y obra. México: Fondo de Cultura Económica. ISBN 968-16-0222-6.
- Ginastera, Alberto. 1946. 12 American Preludes (Doce Preludios Americanos), 2 vols. New York: Carl Fischer.
- Ginastera, Alberto. 1955. Estancia: Ballet in One Act and Five Scenes. Reduction for piano. Buenos Aires: Barry Editorial, Com., Ind., S. R. L.; [n.p.]: Boosey & Hawkes.
- Glinka, Mikhail. 1907. Жизнь за царя [Zhizno za tsaria], forward by Nikolai Rimsky-Korsakov and Alexander Glazunov. Leipzig: M. P. Belaieff.
- Ginastera, Alberto. 1974. Harp Concerto, opus 25. Hawkes Pocket Scores 1185. London: Boosey & Hawkes.
- Gutmann, Peter. 2003. "Peter Ilyich Tchaikovsky: Symphony #6 ("Pathetique")" Classical Notes (accessed 2008-03-23).
- Hansell, Sven, and Carlida Steffan. 2001. "Adolfati, Andrea". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Heartz, Daniel. 1999. "A Venetian Dancing Master Teaches the Forlana: Lambranzi's Balli teatrali". Journal of Musicology 17, no. 1 (Winter):136–51.
- Helmore, Rev. Thomas. 1879. "Accent". A Dictionary of Music and Musicians (A.D. 1450-1889) by Eminent Writers, English and Foreign, 2 vols, edited by George Grove, 1:12–18. London: Macmillan.
- Hepokoski, James. 2001. "Sibelius, Jean". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Hiley, David. 2001. “Quintuple Metre”. The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell, vol. 20:682–83. London: Macmillan Publishers.
- Holst, Gustav. 1973. Double Concerto, op. 49, for two violins and orchestra. Revised edition by Imogen Holst. London: Curwen Edition, Faber Music Ltd.; New York: G. Schirmer Inc. First published in 1930 by J Curwen & Sons Ltd.
- Holst, Gustav. 1977. A Choral Fantasia, op. 51, edited by Imogen Holst. London, Zürich, Mainz, and New York: Ernst Eulenburg Ltd.
- Holst, Gustav. 1979. The Planets: Suite for Large Orchestra, op. 32. New edition prepared by Imogen Holst and Colin Matthews. Hawkes Pocket Scores 22. London: Boosey & Hawkes.
- Hornsby, B[ruce]. R[andall]. 1995. "The Tango King" (sheet music). [N.p.]: WB Music Corp. and Basically Zappo Music.
- Horowitz, Mark Eden, and Stephen Sondheim. 2010. Sondheim on Music: Minor Details and Major Decisions, second edition. Lanham, Maryland; Plymouth, UK: Scarecrow Press. ISBN 978-0-8108-7436-7 (cloth); ISBN 978-0-8108-7437-4 (ebook).
- Howard, Patricia. 1969. The Operas of Benjamin Britten: An Introduction. New York and Washington: Frederick A. Praeger, Publishers.
- Hudson, Barton. 2001. "Brumel [Brummel, Brommel, Brunel, Brunello], Antoine". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- IrishDrummerGuy. 2011. "Vinnie Colaiuta Explains Sting's Seven Days". YouTube (19 December) (Accessed 24 March 2013).
- Johnston, Thomas F. 1989. "Song Categories and Musical Style of the Yupik Eskimo". Anthropos 84, nos. 4–6:423–31.
- Karger, Dave. 1996. "They Shot, He Scored: We Talk with the Composer About His Decades-Long Career". Entertainment Weekly (7 June). (Accessed 16 March 2011)
- Katzif, Michael. 2008. "Five More in 5/4". NPR Music.
- Kernfeld, Barry. 2002. "Beat" The New Grove Dictionary of Jazz, second edition, edited by Barry Dean Kernfeld. 3 vols. London: Macmillan Publishers; New York: Grove’s Dictionaries Inc.. ISBN 1-56159-284-6; ISBN 0-333-69189-X.
- Kirberger, Johann Philipp.  1982. The Art of Strict Musical Composition, translated by David Beach and Jirgen Thym, with an introduction and explanatory notes by David Beach. Music Theory Translation Series 4. New Haven and London: Yale University Press. ISBN 0-300-02483-5.
- Kroetsch, Terence R. 1996. "A Baroque Model in the Twentieth Century: The Preludes and Fuges, Opus 87 of Dmitri Shostakovich". MA thesis. London, ON: The University of Western Ontario.
- Kkunurashima. . Akeboshi: Profile. J-Music Ignited.com (archived from the original on 24 February 2008, accessed 22 October 2010)
- Led Zeppelin (musical group). 1973. Led Zeppelin Complete. New York: SuperHype Publishing.
- Lee, Hye-ku (I, Hye-gu). 1981. "Quintuple Meter in Korean Instrumental Music". Asian music: Journal of the Society for Asian Music 13, no. 1: 119–29.
- Little, Meredith Ellis. 2001. "Gavotte". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Lloyd Webber, Andrew (music), and Tim Rice (lyrics). 1970. Jesus Christ Superstar, vocal score, selections. New York: Universal—MCA Music Pub.; Miami: Warner Bros. Publications. ISBN 0-88188-541-X.
- Loewe, Carl. [ca. 1900]. Prinz Eugen, der edle Ritter: Ballade, op. 92, edited and revised by Hugo Hartmann. Adolf Kunz's Musikalische Volksbibliothek No. 5699-700. Leipzig: Adolf Kunz's Musikverlag. Score at IMSLP (Accessed 19 May 2011).
- Macan, Edward. 1997. Rocking the Classics: English Progressive Rock and the Counterculture. New York: Oxford University Press. ISBN 978-0-19-509888-4.
- Macdonald, Hugh. 2001. "Alkan [Morhange], (Charles-)Valentin". The New Grove Dictionary of Music and Musicians, ed. S. Sadie and J. Tyrrell. London: Macmillan.
- Masson, Georges. 2001. "Pierné, (Henri Constant) Gabriel". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Mathis-Lilley, Ben. 2006. "Secrets of the Radiohead Set List". New York (18 June):[page needed] (accessed 23 March 2008).
- Mawer, Deborah. 2000a. “Musical Objects and Machines”. In The Cambridge Companion to Ravel, edited by Deborah Mawer, 47–70. Cambridge: Cambridge University Press. ISBN 0-521-64026-1 (cloth) ISBN 0-521-64856-4 (pbk)
- Mawer, Deborah. 2000b. “Ballet and the Apotheosis of the Dance”. In The Cambridge Companion to Ravel, edited by Deborah Mawer, 140–61. Cambridge: Cambridge University Press. ISBN 0-521-64026-1 (cloth) ISBN 0-521-64856-4 (pbk)
- May, Elizabeth, and Stephen Wild. 1967. "Aboriginal Music on the Laverton Reservation, Western Australia". Ethnomusicology 11, no. 2 (May): 207–17.
- Mussorgsky, Modest Petrovich. 1914. Tableaux d'une exposition (Pictures at an Exhibition): 10 Pieces for Piano, edited by O. Thümer. [N.p.]: Augener; London: Stainer and Bell Ltd; New York: Galaxy Music Corporation.
- NatuMz (transcriber). n.d. "Underoath: We Are the Involuntary Tab", transcribed by. UltimateGuitar.com
- Neubauer, Eckhard. 2001. "Isḥāq al-Mawṣilī". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Nice, David. 2003. Prokofiev: From Russia to the West, 1891–1935. New Haven and London: Yale University Press. ISBN 0-300-09914-2.
- Pierné, Gabriel. 1908a. Ramuntcho: 2e Suite. Paris: Enoch & Cie.
- Pierné, Gabriel. 1908b. Ramuntcho: Ouverture sur des thèmes populaires basques. Paris: Enoch & Cie.
- Pierné, Gabriel. 1908c. Ramuntcho: Pièce en 5 actes, arr. piano by the composer. Paris: Enoch & Cie.
- Pierné, Gabriel. 1919. Quintette en trois parties, pour piano, 2 violons, alto et violoncelle, Op. 41. Paris: J. Hamelle Editeur.
- Pierné, Gabriel. 1928. Fantaisie basque, sur des thèmes populaires Basques Espagnols, for violin and orchestra, op. 49. Paris: Durand & Cie.
- Pöhlmann, Egert, and Martin L. West. 2001. Documents of Ancient Greek Music: The Extant Melodies and Fragments, edited and transcribed with commentary by Egert Pöhlmann and Martin L. West. Oxford: Clarendon Press. ISBN 0-19-815223-X
- Pope, Isabel, and Tess Knighton. 2001. "Fernández, Diego". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Potter, Keith. 2000. Four Musical Minimalists: La Monte Young, Terry Riley, Steve Reich, Philip Glass. Cambridge and New York: Cambridge University Press. ISBN 0-521-01501-4.
- Powers, Harold S. 2001. "India, §III, 4: Theory and Practice of Classical Music: Rhythm & Tāla." The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Prokofiev, Sergei. 1926. Сказка, Шутка, Марш, Призрак [Skazka, Shutka, Marsh, Prizrak]. (Conte, Badinage, Marche, Fantôme), op. 3, для фортепяно. Moscow: Gos. izd-vo, Muzykal’nyi sektor.
- Primus (musical group). 2000. Primus Anthology, transcribed by Jeff Jacobson, 2 vols. New York: Cherry Lane Music. ISBN 1-57560-154-0 (vol. 1); ISBN 1-57560-216-4 (vol. 2).
- Rachmaninoff, Sergei. 2003. The Isle of the Dead: Symphonic Poem after the Painting by Arnold Böcklin, op. 29. Mineola, N.Y.: Dover. ISBN 0-486-42667-X.
- Ravel, Maurice. 1934. Don Quichotte a Dulcinée. Paris: Editions Durand.
- Ravel, Maurice. 1975. Frontispice: [pour S. P. 503 (poème du Vardar) de R. Canudo]: deux pianos [cinq mains]. Paris and New York: Éditions Salabert.
- Read, Gardner. 1964. Music Notation: A Manual of Modern Practice. Boston: Allyn and Bacon, Inc.
- Reich, Steve. 1979. Octet. [United States]: Hendon Music, Boosey & Hawkes.
- Reich, Steve. 1998. Eight Lines (Octet), revised edition. [United States]: Hendon Music, Boosey & Hawkes.
- Reich, Steve. 2002. Writings on Music 1965–2000, edited with an introduction by Paul Hillier. Oxford and New York: Oxford University Press. ISBN 978-0-19-511171-2 (cloth); ISBN 978-0-19-515115-2 (pbk).
- Reicha, Anton. 1973. 36 Fugen für Klavier, edited by Václav Jan Sýkora. Kassel: Bärenreiter.
- Reinhard, Kurt, and Martin Stokes. 2001. "Turkey: IV. Art music, 3. ‘Usul’". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Reuland, John T. 2011. "Nailed It!" In Rush and Philosophy: Heart and Mind United, edited by Jim Berti and Durrell Bowman, 59–74. Popular Culture and Philosophy 57. Chicago: Open Court. ISBN 978-0-8126-9716-2.
- Richards, Paul. 1987. “Africa in the Music of Samuel Coleridge-Taylor”. Africa: Journal of the International African Institute 57, no. 4 (“Sierra Leone, 1787-1987”): 566–71.
- Ross, Alex. 2007. "Kullervo in the Woods: Rescuing Sibelius from Silence”. New Yorker (9 July).
- Rushton, Julian. 1983. The Musical Language of Berlioz. Cambridge Studies in Music. Cambridge and New York: Cambridge University Press. ISBN 0-521-24279-7.
- Rutter, John. 1976. Oxford Carols: Donkey Carol (sheet music). Oxford: Oxford University Press. ISBN 9780193430556.
- Salinas, Franciscus. 1577. De musica libri septem. Salamanca: Mathias Gastius. Facsimile reprint, edited by Macario Santiago Kastner. Documenta musicologica 1. Reihe, Druckschriften-Faksimiles 13. Kassel: Bärenreiter, 1958. Spanish edition, as Siete libros sobre la música, translated by Ismael Fernández de la Cuesta. Colección Opera Omnia. Madrid: Alpuerto, 1983. ISBN 84-381-0052-X.
- Sawa, George Dimitri. 2004. "Baghdadi Rhythmic Theories and Practices in Twelfth-Century Andalusia". In Music and Medieval Manuscripts: Paleography and Performance: Essays Dedicated to Andrew Hughes, edited by John Haines and Randall Rosenfeld, 151–81. Aldershot, Hants, England; Burlington, VT: Ashgate Publishing, Ltd., 2004. ISBN 978-0-7546-0991-9.
- Schmitt, Stephan. 1995. "Die proportio quintupla in einigen villancicos des Cancionero musical de Palacio". Anuario musical: Revista de musicología del C.S.I.C. 50:3–22.
- Schuyler, Philip. 2001. "Morocco." The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Shiraki, Scott, and E. E. Bradman. 2001. "Justin Chancellor of Tool: Handy Man: How Justin Chancellor Frames Tool's Metal Madness". Bass Player (May):[page needed] (Accessed 2 May 2007).
- Sliwa, Richard. 2005. "Sky 2". Plum Cream website (Accessed 5 December 2010).
- Spencer, Kristopher. 2008. Film and Television Scores, 1950–1979: A Critical Survey by Genre. Jefferson, N.C.: McFarland & Co., Publishers. ISBN 9780786436828.
- Stęszewski, Jan. 2001. "Poland [Polish Republic] II. Traditional Music: 6. Music Regions." The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Taruskin, Richard. 1992a. "Life for the Tsar, A [Zhizn’ za tsarya; Ivan Susanin]". The New Grove Dictionary of Opera, edited by Stanley Sadie. London: Macmillan Press.
- Taruskin, Richard. 1992b. "Ruslan and Lyudmila [Ruslan i Lyudmila]". The New Grove Dictionary of Opera, edited by Stanley Sadie. London: Macmillan Press.
- Taylor, Franklin. 1890. "Quintuple Time", in A Dictionary of Music and Musicians (A.D. 1450-1889), in four volumes, edited by Sir George Grove, D.C.L. London and New York: The Macmillan Company.
- Tschaikowsky, Peter Ilich. [n.d.]. Symphony No. 6 (Pathétique) in B Minor, Op. 74. New York: M. Baron Co.
- Tye, Christopher. 1967. The Instrumental Music, edited by Robert W. Weidner. Recent Researches in the Music of the Renaissance 3. New Haven: A-R Editions.
- Villa-Lobos, Heitor. 1947. Bachianas Brasilerias No. 5, for soprano and orchestra of violoncelli (1938) New York: Associated Music Publishers.
- Voicana, Mircea, Clemansa Firca, Alfred Hoffman, and Elena Zottoviceanu, in collaboration with Myriam Marbe, Stefan Niculescu, and Adrian Ratiu. 1971. George Enescu: Monografie, 2 vols. Bucharest: Editura Academiei Republicii Socialiste România.
- West, M[artin] L[itchfield]. 1992. Ancient Greek Music. Oxford: Clarendon Press; New York: Oxford University Press. ISBN 0-19-814897-6 (cloth); ISBN 0-19-814975-1 (pbk)
- White, Eric Walter. 1979. Stravinsky: The Composer and His Works, second edition. Berkeley and Los Angeles: The University of California Press. ISBN 0-520-03985-8.
- Wiehmayer, Theodor. 1917. Musikalische Rhythmik und Metrik. Magdeburg: Heinrichshofen’s Verlag.
- Wright, Owen, and Christian Poché. 2001. "Arab Music, §I: Art Music". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Yes (musical group). 1981. Yes Complete, deluxe edition. New York: Warner Bros Publications. ISBN 0-7692-0865-7.
- Young, J. B., and Jeremy Montagu. 1975. "7/8 Metres". Early Music 3, no. 1 (January): 77 + 79.
- Ansorena Miner, José Ignacio. 1993. "El zortziko: La frase de ocho compases y el compás de cinco por ocho". Txistulari, no. 155 (July–September).
- Apel, Willi. 1951. "Anent a Ritornello in Monteverdi's Orfeo". Musica Disciplina 5:213–22.
- Cronshaw, Andrew. 1990. "Trikitixa!". Folk Roots 11, no. 10:82 (April): 28–29, 31.
- Frampton, John Ross. 1926. "Some Evidence for the Naturalness of the Less Usual Rhythms". Musical Quarterly 12, no. 3 (July): 400–405.
- Howes, Frank. 1945. "Anthropology and Music". Man 45 (September–October): 107–108.
- Laborde, Denis. 2001. "Basque Music". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
- Nettl, Bruno. 1953. "Stylistic Variety in North American Indian Music". Journal of the American Musicological Society 6, no. 2 (Summer): 160–68.
- Nettl, Bruno. 1965. "The Songs of Ishi: Musical Style of the Yahi Indians". Musical Quarterly 51, no. 3 (July): 460–77.
- Sánchez Ekiza, Carlos. 1991a. "En torno al zortziko". Txistulari, no. 146 (July):44–53.
- Sánchez Ekiza, Carlos. 1991b. "En torno al zortziko". Cuadernos de etnología y etnografía de Navarra 23, no. 57 (January–June): 89–103.