Septuple meter

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21/8 as 3/4 with 7 subdivisions
21/8 as 7/4 with 3 subdivisions

Septuple meter (British: metre) or (chiefly British) septuple time is a meter with each bar (American: measure) divided into 7 notes of equal duration, usually 7/4 or 7/8 (or in compound meter, 21/8 time). The stress pattern can be 2+2+3, 3+2+2, or occasionally 2+3+2. A time signature of 21/8, however, does not necessarily mean that the bar is a compound septuple meter with seven beats, each divided into three. This signature may, for example, be used to indicate a bar of triple meter in which each beat is subdivided into seven parts. In this case, the meter is sometimes characterized as "triple septuple time".[1] It is also possible for a 21/8 time signature to be used for an irregular, or "additive" metrical pattern, such as groupings of 3 + 3 + 3 + 2 + 3 + 2 + 3 + 2 eighth notes. Septuple meter can also be notated by using regularly alternating bars of triple and duple or quadruple meters, for example 4/4 + 3/4, or 6/8 + 6/8 + 9/8, or through the use of "compound meters", in which two or three numerals take the place of the expected numerator 7, for example, (2 + 2 + 3)/8, or (5 + 2)/8.[2]

History[edit]

Before the 20th century, septuple time was rare in European concert music, but is more commonly found in European folk music and in other world cultures.

Asia and the Middle East[edit]

In the Thai dance-drama genre lakhon nok and the masked dance-drama khon there is a unique group of songs based on a rhythmic cycle of seven beats, quite unlike the usual rhythmic structures of Thai traditional music. Portions of this repertoire of songs in additive meter date back to the Ayudhia period (1350–1767).[3]

In the Carnatic music of south India, there are thirty-five tāla in five temporal species, multiplied by seven classes of measurement—one of the five species is septuple.[4] The classes of measurement in this "formal" system consist of seven basic tālas (called sūḷādi talas). Each of these is built from three types of component durations: the one-beat anudruta, the two-beat druta, and the variable laghu, which may have three (tisra), four (caturaśra), five (khaṇḍa), seven (miśra), or nine (saṅkīrṇa) beats, and accounts for the five temporal species of each tāla. Two of the resulting thirty-five forms have seven beats in all: the khaṇda form of Rūpaka tāla, with one druta and a five-beat (khaṇda) laghu: 2 + 5, and the tisra form of Tripuṭa, with a three-beat laghu and two druta: 3 + 2 + 2. Tisra Tripuṭa is one of the principal talas of the system, and so is often called simply by its basic name, Tripuṭa. Khaṇda Rūpaka, on the other hand, is a comparative rarity. The more common form, caturaśra Rūpaka, has a laghu of four beats and so a total beat pattern of 2 + 4.[5]

Carnatic music also has an "informal" system of tālas, which uses a selection of the formal tālas. These include the septuple Tripuṭa, to which is added a Cāpu (fast) version of it, called miśra Cāpu (3 + 2 + 2, or 3 + 4). Miśra Cāpu is one of the most characteristic rhythms in the music of southern India, accounting for well over half of the padam compositions by the 17th-century composer Kshetrayya, and occurs in some of the best-known kīrtanam works by Tyagaraja (1767–1847). The Hindustani tālas used in the north also include septuple patterns.[5] The tala Rupak, for example, has seven beats.[6] Tīvra (also known at Gīt-tāl) is also a septuple tāla. Two tālas, Dīpcandī and Jhūmrā, have fourteen beats in all, but are divided symmetrically into two halves of 3 + 4 beats each. The tālas Ādā-cautāl and Dhamār are also fourteen beats long, but the former is divided asymmetrically, and the latter is only partially symmetrical: It has several different patterns, the most common of which falls into two seven-beat halves, but with different internal divisions: 5 + 2 and (3) + 4, where the khālī (empty) beat marks the division of the cycle into two halves.[5]

Folk music in Turkey employs metres consisting of five, seven, or eleven pulses, as well as metres with irregular subdivisions.[7] In Turkish art music, the system of rhythmic modes called usul consist of rhythmic cycles of two to ten counting units. The pattern of seven beats is called devr-i hindi.[8]

Eastern European folk music[edit]

Septuple rhythms are characteristic of some European folk idioms, particularly in the Balkan countries. An example from Macedonia is the traditional tune "Jovano Jovanke", which can be transcribed in 7/8.[9] Bulgarian dances are particularly noted for the use of a variety of irregular, or heterometric rhythms. The most popular of these is the rachenitsa, a type of khoro in a rapid septuple meter divided 2 + 2 + 3. In the Pirin area the khoro has a rhythm subdivided 3 + 2 + 2, and two varieties of it are the pravo makedonsko ("straight Macedonian") and the mazhka rachenitsa ("men’s rachenitsa"). Septuple rhythms are also found in Bulgarian vocal music, such as the koleda ritual songs sung by young men on Christmas Eve and Christmas to bless livestock, households, or specific family members.[10] The pattern 2+2+1+2 occurs in Bulgarian tunes like Eleno Mome (Елено Моме) and Petrunino horo (Петрунино хоро)[citation needed] cf. Bulgarian dances.

Such irregular meters are also found throughout Greece, where they are sometimes identified as originating in neighboring countries. For example, in Ipeiros, a district bordering Albania, there is a style of singing in imitation of the sound of Byzantine bells, that employs microtonal intervals and is described by the singers themselves as "Albanian" or "pastoral Vlach". The rhythms vary, but sometimes is in bars of seven beats, particularly in the area around Mount Parnassus. The 7/8 rhythm of the kalamatianos from the same region, however, is regarded as purely Greek.[11]

European art music[edit]

18th century[edit]

The last movement of Joseph Haydn's Piano Sonata XVI:12, written as early as the 1750s, has been claimed to use exclusively seven-measure units in its background, if not in its foreground. Performers typically choose a tempo such that the notated 3/8 measure sounds like a single beat, projecting a perception of septuple meter.[12]

19th century[edit]

Though rare in the 19th century, septuple metre is occasionally found. Two examples from the piano repertoire entirely in septuple meter are Fugue No. 24, from 36 Fugues for Piano by Anton Reicha (notated in regularly alternating cut time and 3/4 bars),[13] and the Impromptu, op. 32, no. 8, by Charles-Valentin Alkan, notated in 7/4 time.[14] In the last two of the five versions of "Promenade" from Pictures at an Exhibition by Modest Mussorgsky 7/4 is mixed irregularly with other metres: (4th Promenade) 5/4, 6/4, and 7/4, with a single 3/4 bar at the end; (5th Promenade) 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.[15]

Symphonic and choral works containing occasional septuple bars include the conjuration of soothsayers in L'enfance du Christ, op. 25 (1854) by Hector Berlioz, which "has a relatively extended passage of septuple metre (ten bars of 7/4, then three of 4/4 and three of 3/4; the pattern repeats with four each of 4/4 and 3/4)",[16] and the Dante Symphony by Franz Liszt, which has several bars in 7/4.[17]

An example of chamber music from the later 19th century is found in the Trio No. 3 for piano, violin and cello, op. 101, by Johannes Brahms. In the third movement (Andante grazioso), the main (outer) sections are in 7/4 (notated as a recurring 3/4 + 2/4 + 2/4), while the central section is in compound-quintuple time: 15/8 (notated as 9/8 + 6/8) with 9/8 turnarounds, and an eight-bar coda in 9/8.[18]

20th century[edit]

Igor Stravinsky's name is often associated with rhythmic innovation in the 20th century, and septuple meter is sometimes found in his music—for example, the closing "General Rejoicing" section (Allegro non troppo), from rehearsal 203 to rehearsal 209, in his ballet The Firebird (1910) is written uniformly in 7/4 time.[19] Much more characteristically, septuple 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.[20] For example in Part II, third tableau, "Glorification of the Chosen Maiden", bars of 7/8 and 7/4 are interspersed with bars of 2/4, 3/8, 3/4, 4/8, 4/4, 5/8, 5/4, 6/8, 6/4, and 9/8 time.[21] 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).[22]

So many other composers followed Stravinsky's example in the use of irregular meters that the occasional occurrence of septuple-time bars becomes unremarkable from the 1920s onward.[23] This is as true for composers regarded as conservative as for those labeled "progressive" or "avant garde". In the former category, this rhythmic usage was characteristic of compositions from the 1920s and 1930s by Gustav Holst. Septuple bars are found, for example, in passages in his opera The Perfect Fool (1918–22)—notably the two "earth" themes in the ballet of the elements, and the arrival of the Princess, which is "a genuine example of the septuple measure as distinct from those arising merely from prosody"[24]—and in A Choral Fantasia, op. 51 (bars 70–98, 179–85, and 201–209 are in 7/4).[25] An example from the next decade is Benjamin Britten's String Quartet No. 2, op. 35 (1945), where bars 2 and 13 after rehearsal K in the first movement, "Allegro calmo senza rigore", are in 7/4,[26] and from the 1950s, the second subject of the third movement, Allegro, of Dmitri Shostakovich's Piano Concerto No. 2, op. 102 (1957), which is in a fast 7/8.[27] Examples from more "progressive" composers include the first and third movements of the First Cantata, op. 29 (1938–39), by Anton Webern,[28] and the fourth movement (Intermezzo interrotto) of Béla Bartók's Concerto for Orchestra (1943).[29]

Septuple meter is sometimes employed to characterize particular sections of compositions, such as single variations of pieces in variation form. One example is the third movement (Variations on a Ground), of Holst's Double Concerto for two violins and orchestra, op. 49, where the 13th and 17th variations are in 7/4 time.[30] An example from after the Second World War is found in Part I of Leonard Bernstein's The Age of Anxiety: Symphony No. 2, a theme-and-variations movement in which "Variation X: Più mosso" is notated in regularly alternating cut time and 3/4 bars, each pair amounting to one 7/4 bar.[31]

Compositions entirely or predominantly in septuple meter are less common. The last movement, "Precipitato", of the Piano Sonata No. 7 by the Russian composer Sergei Prokofiev, which is in 7/8,[32] and Sensemayá, for orchestra, by the Mexican Silvestre Revueltas (predominantly in 7/8, with occasional interruptions in 7/16 time and a brief 7-bar interlude at rehearsal 23 of 9/8 (3/4+3/8))[33] are particularly well-known instances. Béla Bartók sometimes adopted septuple dance rhythms from the folk music of Eastern Europe, as in "Bulgarian Rhythm (1)" and the second of the "Six Dances in Bulgarian Rhythm", nos. 113 and 149 from Mikrokosmos, both of which are in 7/4.[34] Other examples from the middle of the century include the 7/4 third movement, "Très Animé", of the Fantasia, for saxophone, 3 horns, and string orchestra (1948), by Heitor Villa-Lobos,[35] "In the First Pentatonic Minor Mode (En el 1er modo pentáfono menor)", no. 5 from 12 American Preludes for piano by Alberto Ginastera, in 7/8,[36] and "Old Joe Has Gone Fishing" by Benjamin Britten (from the 1945 opera Peter Grimes), which is written in 7/4,[37] with the beats grouped as both 3+2+2 and 2+2+2+1 in a round, so that they interact to portray the rhythm of the ocean waves.[citation needed]

List of compositions in septuple meter[edit]

Partially in septuple meter[edit]

See also[edit]

References[edit]

  1. ^ Read 1964, 152.
  2. ^ Read 1964, 161 and 164–65.
  3. ^ Moore 1969, 309–10.
  4. ^ Anon. 1896, 520.
  5. ^ a b c Powers and Widdess 2001.
  6. ^ Montfort n.d.
  7. ^ Reinhard and Stokes 2001a.
  8. ^ Reinhard and Stokes 2001b.
  9. ^ Bergeron 2010.
  10. ^ Buchanan 2001.
  11. ^ Chianis and Brandl 2001.
  12. ^ Murphy 2012.
  13. ^ Reicha 1973, 2:56–58.
  14. ^ Eddie 2007, 12 & 104; MacDonald 2001.
  15. ^ Mussorgsky 1914, 18, 24–25.
  16. ^ Rushton 1983, 128.
  17. ^ Wiehmayer 1917, 81–82.
  18. ^ Brahms 1972, 134–37 of the score (= piano part).
  19. ^ Stravinsky 1964, 169–72.
  20. ^ White 1979, 212–13.
  21. ^ Stravinsky 1970, 102–114.
  22. ^ White 1979, 404–405.
  23. ^ Hiley 2001.
  24. ^ Evans 1923, 391–92.
  25. ^ Holst 1977, 7–11, 25–26, 31.
  26. ^ Britten 1946, 14–15.
  27. ^ Shostakovich 1983, 103–120.
  28. ^ Webern 1957, 10, 34–35, 38.
  29. ^ Bartók 1946, 70–71.
  30. ^ Holst 1973, 18, 21–22.
  31. ^ Bernstein 1993, 40–43.
  32. ^ Prokofiev 1955, 2:199–207.
  33. ^ Revueltas 1949.
  34. ^ Bartók 1940, 4:32–33, 6:39–41.
  35. ^ Villa-Lobos 1963, 25–36.
  36. ^ Ginastera 1946, 1:9.
  37. ^ Britten 1945; Sample page.
  38. ^ Lloyd Webber and Rice 1979, 40–45.
  39. ^ Sakimoto and Niwa 1994, 124–25.
  40. ^ Fenlon 2002, 34.
  41. ^ Perkins 2000, 2:41–58 (score).
  42. ^ Anon. 2013.
  43. ^ Vai 1995, 31.
  44. ^ Seal and Isidore 1994.
  45. ^ Apablaza, Gastón O. "Christian Gálvez". Suena (in Spanish). Archived from the original on 2008-03-23. Retrieved 2008-03-20. [unreliable source?]
  46. ^ "The song's unusual 7/4 time signature also made it one of Garcia's favorites out of the entire Weir catalog." What a Long, Strange Trip, by Stephen Peters, Thunder's Mouth Press, 1999 (p. 160).
  47. ^ [1] preview of song in Yes songbook of Fragile which denotes the song in 7/4
  48. ^ Plait 2012.
  49. ^ a b Allan n.d.
  50. ^ Yanni 1993, 16.
  51. ^ Janssen 2013.
  52. ^ Edmund Meinerts, "Review: Hans Zimmer, Angels & Demons, Sony Classical (Barcode: 0886975209620)". Soundtrack Magazine (2009-09-24), Filmmusicsite.com (Accessed 6 June 2010).
  53. ^ Fienberg 2004, 220–21 & 223.
  54. ^ "Canopy_Glow_11_18_by_Anathallo_656605864129 Home and Garden". DealTime.com. Retrieved 2013-09-22. 
  55. ^ Stevens 1991, 50–54.
  56. ^ a b Genesis 2002,[page needed].
  57. ^ Sakamoto, John (2005-08-20). "The Anti-Hit List". Toronto Star. p. H6. 
  58. ^ Weisman 2010, 85.
  59. ^ a b c Bennett 2008, 106.
  60. ^ Sander 1999.
  61. ^ Fenlon 2002, 37.
  62. ^ Serendip. "(last entry on her blog page)". Wendycarlos.com. Retrieved 2013-11-26. 
  63. ^ Neto, Purim, and Moreira 2005.
  64. ^ Kamien 1980, 40.
  65. ^ Yanni 1993,[page needed].
  66. ^ "Staff Lists: The Top 100 Tracks of 2009 | Features". Pitchfork. 2009-12-14. Retrieved 2013-09-22. 
  67. ^ Bernstein (1994). "Candide". Leonard Bernstein website. pp. 186–93. Retrieved 30 December 2007.  States that this number was added to Candide in 1971.
  68. ^ Cowell 1956, 243.
  69. ^ The history of this classic Beatles song "About.com: Oldies Music"
  70. ^ Author unknown/uncredited (1978). "Bacharach and David", 'Bacharach and David'. Almo Productions.
  71. ^ Greenwald, Matthew "Anyone Who Had a Heart", Allmusic.
  72. ^ Cornwell and Drury 2001,[page needed]
  73. ^ "Selling England By The Pound review". ProgArchives.com. Retrieved Jun 28, 2009. 
  74. ^ "Motion City Soundtrack - Go (album review 2)". Sputnikmusic. 2012-06-14. Retrieved 2013-09-22. 
  75. ^ "I'm not claiming this is completely 100% accurate in terms of what these guys actually played" (Hooper 1997).
  76. ^ "Reviews for Iron Maiden's A Matter of Life and Death". Metal-Archives.com. Retrieved July 30, 2009. 
  77. ^ "A Matter of Life and Death (review)". Groove.no. Retrieved July 30, 2009. 
  78. ^ Guitar April 1998, ""Diary of a Madman"". Transcribed by Jeff Jacobson.
  79. ^ "Interview with a band member, explaining choice of septuple meter around 40 seconds in". Youtube.com. Retrieved 2013-11-26. 
  80. ^ Anon. 2011.
  81. ^ Nicholas Barber, "Ex-Blondies Have More Fun", The Independent (London), 11 February 1996.
  82. ^ Lloyd Webber and Rice 1970, 6–7 and 9.
  83. ^ Dethalbum II: Authentic Guitar TAB (Authentic Guitar Tab Edition)
  84. ^ Pareles, Jon (4 March 1996). "Understated Showcase for Sting's New Songs". New York Times. 
  85. ^ Guitar (February 1996), ""In the dead of night"", transcribed by Paul Pappas.[page needed]
  86. ^ Teachout 2001.
  87. ^ Section notated as alternating measures of 3/4 and 4/4 in piano sheet music at http://www.sheetzbox.com/piano/sheets/6904/Saturday_Night_Fever-Jive_Talkin_PianoTabs.html
  88. ^ Steve Huey Jocko Homo
  89. ^ Keefe, Jonathan. "Sam Bush: Laps in Seven". Retrieved 2008-05-18. 
  90. ^ Sting 2003, 100–12.
  91. ^ Interview with Andy Partridge [2] "We chose 7 for 'The Man Who Sailed Around His Soul' because it has that kind of [pauses], not comedy-jazz, but has a sort of Brubeck... corny thing about it."
  92. ^ Passages album info on the Philip Glass website
  93. ^ "http://plum.cream.org/sky/sky3.htm"
  94. ^ Meters & Time Signatures, Kevin Seal and Adam Blum, Pandora Podcast Series, Episode 20, starting at 4:25.
  95. ^ Anon. 2007,[page needed]
  96. ^ "Midnight Oil :: No Time For Games Drum Sheet Music - Quality Drum Sheet Music, Scores, Tabs". Drumscore.com. Retrieved 2013-09-22. 
  97. ^ "[Powderworks] time signatures". Midnight-oil.info. Retrieved 2013-09-22. 
  98. ^ "External Link". 911Tabs.Com. Retrieved 2013-09-22. 
  99. ^ Bernstein 1994, 42–47.
  100. ^ Huey, Steve. "Outshined". Allmusic. Retrieved 2008-03-23. "The song's main riff is in 7/4 time" 
  101. ^ James Doheny (16 August 2002). Radiohead: Back to Save the Universe: The Stories Behind Every Song. Da Capo Press. pp. 63–. ISBN 978-1-56025-398-3. Retrieved 11 April 2012. 
  102. ^ Ginastera 1955, 18.
  103. ^ BetZe13 (2009-08-19). "Odd Time Obsessed: Fu Manchu - Pick Up Summer". Oddtimeobsessed.blogspot.com. Retrieved 2013-09-22. 
  104. ^ "tabwiki". Retrieved 2009-03-31. 
  105. ^ "External Link". 911Tabs.Com. Retrieved 2013-09-22. 
  106. ^ Ligeti 1973, flute p. 6, oboe pp. 4–5, clarinet pp. 6–7, horn pp. 4–5, bassoon pp. 6–7.
  107. ^ "Tab: Between the Burried & Me - SELKIES THE ENDLESS OBSESSION". GuitarCats. Retrieved 2013-09-22. 
  108. ^ Jake Vigliotti, "Dave Explains Big Whiskey" (6/4 2009). antsmarching.org (Accessed 6 June 2010).
  109. ^ "Persona 4 Golden's Soaring Soundtrack Is Love At First Listen". Kotaku.com. Retrieved 2013-09-22. 
  110. ^ "Guitar News – Lessons – Gear Reviews – Music Videos – Guitar World". Tabs.guitarworld.com. 2013-09-18. Retrieved 2013-09-22. 
  111. ^ "Spoonman: Main Riffs". Discover Guitar Online. Retrieved 2008-03-23. "An interesting aspect of the main riff is that is in an odd time signature, 7/4" 
  112. ^ OC Remix Community 2010.
  113. ^ Palmer, Robert (1981-08-16). "Substance Marks Pretenders II". New York Times. Retrieved 2008-08-14. "Tattooed Love Boys, for example, grafted a section in 7/4 time onto a section with a kind of modified Bo Diddley beat in 4/4; James Honeyman Scott's ringing guitar figures held the piece together" 
  114. ^ Wayne 1978,[page needed].
  115. ^ "Anthrax - Persistence of Time - Reviews - Encyclopaedia Metallum". The Metal Archives. Retrieved 2013-09-22. 
  116. ^ "Absolute Radio - Internet Radio, Music Videos, Concert Tickets & Competitions". United Kingdom: Songofthedecade.com. Retrieved 2013-09-22. 
  117. ^ Anon. n.d.
  118. ^ Banasiewicz 1988,[page needed]
  119. ^ Moe 2008,[page needed].

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