List of musical works in unusual time signatures

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This is a list of musical compositions or pieces of music that have unusual time signatures. "Unusual" is here defined to be any time signature other than simple time signatures with top numerals of 2, 3, or 4 and bottom numerals of 2, 4, or 8, and compound time signatures with top numerals of 6, 9, or 12 and bottom numerals 4, 8, or 16.[1]

The conventions of musical notation typically allow for more than one written representation of a particular piece. The chosen time signature largely depends upon musical context, personal taste of the composer or transcriber, and the graphic layout on the written page. Frequently, published editions were written in a specific time signature to visually signify the tempo for slow movements in symphonies, sonatas, and concerti.

A perfectly consistent unusual metrical pattern may be notated in a more familiar time signature that does not correspond to it. For example, the Passacaglia from Britten's opera Peter Grimes consists of variations over a recurring bass line eleven beats in length but is notated in ordinary 4
4
time, with each variation lasting 2+34 bars, and therefore commencing each time one crotchet earlier in the bar than the preceding one.[2]

Upper number of 1[edit]

1
1
[edit]

1
2
[edit]

1
4
[edit]

1
8
[edit]

  • Amor dammi quel fazzolettino by Andrew Violette, for one measure in the left hand of the second piano part.[49]
  • Black Tea by Andrew Violette.[50]

1
16
[edit]

1
32
[edit]

1
64
[edit]

Upper number of 2[edit]

2
1
[edit]

2
16
[edit]

 { \new PianoStaff << \new Staff \relative c'' { \set Staff.midiInstrument = #"violin" \clef treble \tempo 8 = 126 \time 3/16 r16 <d c a fis d>\f-! r16\fermata | \time 2/16 r <d c a fis d>-! \time 3/16 r <d c a fis d>8-! | r16 <d c a fis d>8-! | \time 2/8 <d c a fis>16-! <e c bes g>->-![ <cis b aes f>-! <c a fis ees>-!] } \new Staff \relative c { \set Staff.midiInstrument = #"violin" \clef bass \time 3/16 d,16-! <bes'' ees,>-! r\fermata | \time 2/16 <d,, d,>-! <bes'' ees,>-! | \time 3/16 d16-! <ees cis>8-! | r16 <ees cis>8-! | \time 2/8 d16\sf-! <ees cis>-!->[ <d c>-! <d c>-!] } >> }

2
32
[edit]

Upper number of 3[edit]

3
1
[edit]

3
16
[edit]

3
32
[edit]

Upper number of 4[edit]

4
||whole note||
[edit]

4
1
[edit]

4
16
[edit]

4
32
[edit]

Upper number of 5[edit]

Upper number of 6[edit]

6
2
[edit]

6
32
[edit]

Upper number of 7[edit]

Upper number of 8[edit]

Note: 8
4
or 8
8
may refer to an evenly divided compound duple or quadruple meter. While this is arguably extremely common in music, the notations 8
4
and 8
8
themselves are not, so all divisions of this time signature are listed here

8
2
[edit]

8
4
[edit]

8
8
[edit]

8
16
[edit]

Upper number of 9[edit]

Time signatures that group nine beats into 3+3+3 are very common in music. This section only lists other groupings, such as 2+3+2+2.

9
4
[edit]

  • Agon by Igor Stravinsky, at measure 167. Although other measures of 9
    4
    in the same section are subdivided 3+3+3, this measure is 3+2+2+2.[95]
  • Concertino by Igor Stravinsky, one measure after rehearsal mark 14 (subdivided 4+3+2).[108]

9
8
[edit]

9
16
[edit]

9
32
[edit]

Upper number of 10[edit]

10
4
[edit]

10
8
[edit]

10
16
[edit]

Upper number of 11[edit]

11
4
[edit]

11
8
[edit]

11
16
[edit]

11
32
[edit]

11
64
[edit]

Upper number of 12[edit]

12
2
[edit]

  • Concerto for Piano, Clarinet, and String Quartet by Roy Harris has a measure of 12
    2
    in the second movement.[148]

12
32
[edit]

Upper number of 13[edit]

13
4
[edit]

13
8
[edit]

13
16
[edit]

Upper number of 14[edit]

14
4
[edit]

14
16
[edit]

  • American Song Set by Andrew Violette, for two measures in one of the songs.[202]

Upper number of 15[edit]

15
8
[edit]

15
16
[edit]

15
32
[edit]

Upper number of 16[edit]

16
16
[edit]

Upper number of 17[edit]

17
4
[edit]

17
8
[edit]

17
16
[edit]

Upper number of 18[edit]

18
8
[edit]

18
16
[edit]

Upper number of 19[edit]

19
4
[edit]

  • "33 222 1 222" by Don Ellis.[231] Its title represents the subdivision: 3+3+2+2+2+1+2+2+2
    4
    [232]

19
8
[edit]

19
16
[edit]

Upper number between 20 and 29[edit]

20[edit]

21[edit]

  • "The Art Of Dying" by Gojira (2008) cycles from 4
    4
    to 2
    4
    to 21
    16
    (grouped 5+5+5+3+3) and repeats this pattern during the intro and beginning of the song.[236]
  • 3 Danses from L'Oeuvre d'orgue by Jehan Alain, for one measure in the first dance.[237]
  • "In Re Con Moto Et Al" by Charles Ives uses 21
    8
    .[168]
  • In the Dead of the Night suite by U.K., "contains an instrumental refrain in 21
    16
    ".[188]
  • "Keep It Greasy" by Frank Zappa on Joe's Garage (the second verse is in 21
    16
    ).[190]
  • Master of Puppets by Metallica features measures that can be interpreted as 21
    32
    .[238]

22[edit]

24[edit]

  • American Song Set by Andrew Violette. One of the songs is in 4
    4
    (24
    16
    ) and two other songs have some measures in 24
    16
    in the piano's right hand against 4
    4
    in the piano's left hand and voice.[202]
  • Amor dammi quel fazzolettino by Andrew Violette has a passage of 24
    16
    in the first piano against 6
    4
    in the second piano.[49]
  • "Brobdingnagische Gigue", from Intrada, nebst burlesquer Suite, for two violins (the so-called "Gulliver Suite") by Georg Philipp Telemann is in 24
    1
    .[88]
  • Carmina Burana by Carl Orff has 24
    4
    (written as 8
    dotted half note.
    ) in the movement Veris leta facies.[13]
  • Suite in E Minor, HWV 438 by George Frideric Handel uses 24
    16
    for the Gigue.[241]
  • The Well-Tempered Clavier, Book 1 by Johann Sebastian Bach. The upper stave of Prelude No. 15 is in 24
    16
    (The bottom stave is in common time).[242]

25[edit]

27[edit]

29[edit]

Upper number between 30 and 39[edit]

30[edit]

  • American Song Set by Andrew Violette. One of the songs has 30
    16
    in the piano's right hand against 5
    4
    in the piano's left hand and voice.[202]
  • Bicinium by Charles Wuorinen, at bar 89 (30
    32
    , written as 10
    sixteenth note.
    ).[60]

31[edit]

32[edit]

33[edit]

35[edit]

  • "Entertain Me" by Tigran Hamasyan contains a repeating melody in 35
    16
    , overlayed on top of the main 256
    32
    meter.[197]
  • "Nairian Odyssey" by Tigran Hamasyan contains a solo section in 35
    16
    , divided variously as 6
    4
    + 5
    16
    + 3
    8
    and 6+8+6+9+6
    16
    .[251]

36[edit]

  • American Song Set by Andrew Violette. One of the songs has a measure in 36
    16
    in the piano's right hand against 6
    4
    in the piano's left hand and voice and another has the same, but with 3
    2
    instead of 6
    4
    .[202]
  • Charon by Richard Barrett has 36
    8
    in bar 58.[51]
  • Organbook by Andrew Violette has 36
    16
    .[257]

Upper number between 40 and 49[edit]

40[edit]

42[edit]

43[edit]

44[edit]

47[edit]

48[edit]

  • American Song Set by Andrew Violette. One song has a measure of 24
    16
    in the piano's right hand against 48
    32
    in the piano's left hand and 4
    4
    in the voice.[202]

Upper number between 50 and 59[edit]

53[edit]

Upper number more than 59[edit]

77[edit]

86[edit]

256[edit]

  • "Entertain Me" by Tigran Hamasyan is in 256
    32
    , with a repeating motif in 35
    16
    laid over it.[197]

Fractional time signatures[edit]

Irrational time signatures[edit]

Combined unusual signatures[edit]

  • Anyone Who Had a Heart, by Burt Bacharach uses 4
    4
    , 5
    4
    , and 7
    8
    .[286]
  • "Butterflies, Hummingbirds", No. 5 from Twelve New Etudes by William Bolcom, has parenthesized time signatures of 18
    64
    , 20
    64
    , and 38
    64
    .[287]
  • 20 Caprices and Rhythmic Studies by Émile Jaques-Dalcroze.[288]
    • No. 1 has 10
      8
      .
    • No. 2 has 5
      4
      .
    • No. 3 has 5
      8
      , 5
      16
      , 7
      16
      , 8
      8
      , 8
      16
      , 9
      16
      (5+4), 10
      16
      , 11
      16
      , 14
      16
      , 15
      8
      , 15
      16
      , 18
      16
      , and 24
      16
      .
    • No. 4 has 10
      4
      , 10
      8
      , 11
      8
      , and 16
      8
      .
    • No. 5 has 8
      16
      and 16
      16
      .
    • No. 6 has 7
      8
      , 8
      8
      , 15
      8
      , and 18
      8
      .
    • No. 8 has 5
      8
      , 7
      8
      , 8
      8
      , and 10
      8
      .
    • No. 9 has 1
      8
      , 5
      8
      , 7
      8
      , 8
      8
      , 10
      8
      , and 15
      8
      .
    • No. 10 has 3
      16
      , 4
      16
      , 7
      16
      , and 8
      16
      .
    • No. 11 has 5
      8
      , 7
      8
      , 8
      8
      , 10
      8
      , 20
      16
      , and 24
      16
      (written as 8
      eighth note.
      ).
    • No. 15 has 5
      8
      , 7
      8
      , 8
      8
      , and 9
      8
      (beamed 2+2+2+3).
    • No. 16 has 7
      16
      , 8
      16
      , 10
      16
      , 11
      16
      , 13
      16
      , 14
      16
      (7
      8
      ), and 15
      16
      .
    • No. 17 has 7
      8
      .
    • No. 19 has 7
      8
      , 8
      8
      , 9
      8
      (beamed 2+2+2+3), and 10
      8
      .
    • No. 20 has 8
      8
      , 15
      16
      , 18
      16
      , and 20
      16
      .
  • Chichester Psalms by Leonard Bernstein uses irregular 9
    2
    and 9
    4
    , 10
    4
    notated as 5+5
    4
    , and 12
    2
    .[289]
  • The Death of the Hired Man by Andrew Violette has 1
    4
    , 1
    8
    , 5
    4
    , 5
    8
    , 5
    16
    , 7
    4
    , 10
    16
    , 18
    16
    , 24
    16
    , 27
    16
    (3
    dotted quarter note.+eighth note.
    ), and 36
    16
    (4
    dotted quarter note.+eighth note.
    )[290]
  • Earth, the fifth part of Fictions by Richard Barrett, has 2
    16
    , 3
    [16]
    , 4
    [16]
    , 5
    8
    , 5
    16
    , 7
    8
    , 7
    16
    , 11
    8
    , 11
    16
    , 13
    16
    , 15
    8
    , 15
    16
    , 17
    8
    , 17
    16
    , 19
    8
    , and 25
    16
    .[291]
  • Emily Dickinson's Book of the Dead by Andrew Violette has 5
    4
    , 5
    8
    , 7
    8
    , and 20
    16
    .[292]
  • The Exterminating Angel Symphony by Thomas Adès has 1
    4
    , 5
    4
    , 5
    8
    , 7
    4
    , 7
    8
    , and 8
    8
    .[273]
  • "Firth of Fifth": Introduction, by Tony Banks of Genesis, mixes duple and quadruple meters with 13
    16
    and 15
    16
    signatures.[293]
  • Intermezzo by Andrew Violette has 3
    16
    , 4
    16
    , 5
    4
    , 5
    8
    , 5
    16
    , 7
    8
    , 7
    16
    , 8
    16
    , 10
    16
    , 11
    16
    , and 20
    16
    .[294]
  • I Open and Close, the sixth part of Fictions by Richard Barrett, has 1
    8
    , 2
    16
    , 3
    16
    , 3
    2
    , 5
    8
    , 5
    16
    , 7
    8
    , 7
    16
    , 7
    32
    , 8
    8
    , 11
    16
    , 13
    16
    , 15
    16
    , 15
    32
    , and 24
    8
    .[278]
  • "I Say a Little Prayer" by Dionne Warwick uses two measures of 4
    4
    , one measure of 10
    4
    and two measures of 4
    4
    for verses and 11
    4
    for its chorus.[295]
  • K.G.L.W. by King Gizzard and the Lizard Wizard increments through 1
    8
    , 2
    8
    , 3
    8
    , 4
    4
    , 5
    4
    , 6
    4
    , 7
    4
    , 9
    4
    , 11
    4
    , 13
    8
    , 15
    8
    , 17
    8
    , 19
    8
    , and 21
    8
    .[296]
  • Klavierstück IX (1954–55/61) by Karlheinz Stockhausen uses 21
    8
    , 34
    8
    , 42
    8
    , 87
    8
    , and 142
    8
    .[297]
  • Lemma-Icon-Epigram by Brian Ferneyhough has 1
    8
    , 1
    16
    , 1
    32
    , 1
    64
    (in an additive time signature), 3
    16
    , 5
    8
    , 5
    16
    , 5
    32
    , 7
    8
    , 7
    16
    , 8
    8
    , 9
    16
    (in various groupings such as 3+2+2+2), and 11
    16
    .[279]
  • Lieder vom Wasser, the tenth part of Fictions by Richard Barrett, has 1
    8
    , 1
    16
    , 2
    16
    , 3
    16
    , 3
    32
    , 5
    8
    , 5
    16
    , 5
    32
    , 7
    8
    , 7
    16
    , 8
    8
    , 11
    16
    , 13
    16
    , 15
    16
    , and 43
    16
    .[298]
  • The Long and the Short by Charles Wuorinen has 1
    4
    , 1
    8
    , 1
    16
    (in additive time signatures such as 5
    4
    +1
    16
    ), 3
    16
    , 4
    4
    (subdivided as 3
    32
    +7
    16
    +3
    8
    +3
    32
    ), 4+14
    4
    , 5
    4
    , 5
    8
    , 5
    16
    , 7
    4
    , 7
    8
    , 7
    16
    , 7+14
    4
    , 8
    4
    , 9
    32
    , 11+12
    4
    , 12
    4
    , 13
    32
    , 24
    4
    , 25
    4
    , and 40
    4
    .[299]
  • Love Duet by Andrew Violette has 1
    4
    , 5
    4
    , 9
    4
    (grouped 2+2+2+3), 15
    8
    , 18
    8
    , and 21
    8
    .[300]
  • Organ Sonata by Andrew Violette has 5
    4
    , 5
    8
    , 18
    8
    , and 24
    16
    .[301]
  • Pastorale by Andrew Violette has 20
    16
    and 24
    16
    .[302]
  • Piano Concerto No. 5 by Kaikhosru Shapurji Sorabji has 5
    4
    , 5
    8
    , 6
    4+12
    (six dotted quarter notes), 7
    4
    , 7
    8
    , 8
    4
    , 8
    8
    , 10
    8
    , 11
    4
    , 11
    8
    , 13
    8
    , 14
    8
    , and 15
    8
    . [303]
  • Piano Sonata No. 1 by Kaikhosru Shapurji Sorabji has 5
    4
    , 5
    8
    , 7
    4
    , 7
    8
    , 7
    16
    , 8
    8
    , 10
    8
    , 11
    8
    , 13
    8
    , 14
    8
    , 15
    8
    , and 30
    16
    .[304]
  • Piano Sonata No. 1 by Andrew Violette has 5
    2
    , 5
    4
    , 5
    8
    , and 7
    8
    .[305]
  • Piano Sonata No. 2 by Charles Wuorinen has 1
    4
    , 1
    8
    , 3
    16
    , 5
    8
    , 5
    16
    , 7
    4
    , 7
    8
    , 7
    16
    , 7
    32
    , 8
    4
    , 9
    8
    (grouped 4+2+3), 9
    32
    , 10
    4
    , 10
    16
    , 10
    32
    , 11
    8
    , 11
    16
    , 11
    32
    , 12
    4
    , 15
    16
    , 15
    32
    , 18
    32
    , and 20
    32
    (written as 4
    eighth note+thirty-second note
    ).[306]
  • Piano Sonata No. 3 by Andrew Violette has 1
    4
    (in additive time signatures such as 3
    4
    +1
    4
    ), 1
    8
    , 1
    16
    (in additive time signatures such as 4
    4
    +1
    16
    ), 5
    4
    , 5
    8
    , 7
    4
    , 7
    8
    , 7
    16
    , 8
    8
    , 8
    16
    , 9
    16
    (grouped 4+5), 10
    4
    , 10
    8
    , 10
    16
    , 11
    8
    , 11
    16
    , 13
    4
    , 13
    16
    , 14
    8
    , 14
    16
    , 15
    4
    , 15
    8
    , 15
    16
    , 16
    16
    , 17
    8
    , 17
    16
    , 18
    8
    , 19
    8
    , 19
    16
    , 20
    16
    , 21
    8
    , 21
    16
    , 24
    16
    , 27
    16
    (written as 3
    half note+sixteenth note
    ), 28
    16
    , 31
    8
    , 34
    8
    , 36
    8
    , 40
    8
    , 56
    8
    , 60
    4
    , 60
    8
    , 74
    8
    , 90
    16
    , and 93
    16
    .[267]
  • Piano Sonata No. 3 by Charles Wuorinen has 6
    8
    +1
    32
    , 3
    16
    , 3
    32
    , 4+12
    4
    , 5
    4
    , 5
    8
    , 5+12
    4
    , 6+13
    4
    , 7
    8
    , 7
    16
    , 7+13
    8
    , 9
    16
    (grouped 4+5), 9
    32
    , 10
    16
    , 11
    8
    , 11
    16
    , 13
    16
    , 15
    16
    , and 17
    16
    .[307]
  • Piano Sonata No. 4 by Charles Wuorinen has 5
    4
    , 5
    8
    , 7
    8
    , 7
    16
    , 8
    8
    , 9
    8
    (both 4+5 and 6+3), 4+5
    16
    , 10
    16
    , 11
    8
    , 11
    16
    , 15
    16
    , and 21
    16
    .[308]
  • Pli selon pli by Pierre Boulez.
    • I. Don: 1
      4
      , 1
      8
      , 2
      1
      , 2
      16
      , 3
      16
      , 4
      16
      , 5
      1
      , 5
      4
      , 5
      8
      , 5
      16
      , 7
      8
      , 7
      16
      , and 8
      8
      .[309]
    • II. Improvisation I: 1
      4
      , 3
      16
      , 5
      8
      , 5
      16
      , 7
      8
      , 7
      16
      , and 8
      16
      .[310]
    • III. Improvisation II: 1
      1
      , 1
      4
      , 2
      1
      , 4
      1
      , 5
      1
      , 5
      2
      , 5
      4
      , 5
      8
      , 7
      8
      , and 8
      1
      .[311]
    • IV. Improvisation III: 1
      8
      , 3
      16
      , 5
      4
      , 5
      8
      , 5
      16
      , and 7
      16
      .[312]
    • V. Tombeau: 1
      2
      and 1
      4
      .[313]
  • Quirl by Brian Ferneyhough has 1
    8
    , 3
    16
    , 3
    32
    , 5
    8
    , 5
    16
    , 5
    32
    , 5
    64
    , 7
    8
    , 7
    16
    , 7
    32
    , 7
    64
    , 8
    8
    , 9
    32
    , 10
    8
    , 11
    16
    , 11
    32
    , 13
    16
    , and 15
    64
    .[314]
  • Quintet No. 1 by Kaikhosru Shapurji Sorabji has 2
    1
    , 2+12
    4
    , 5
    4
    , 5
    4+12
    (five dotted quarter notes), 7
    4
    , 7
    8
    , 8
    4
    , 8
    8
    , 10
    4
    , 10
    8
    , 11
    8
    , 13
    4
    , 14
    8
    , 15
    8
    , and 20
    8
    .[315]
  • Salve Regina, the second of 4 Madrigals by Andrew Violette, has 5
    4
    , 5
    8
    , 7
    4
    , 7
    8
    , 9
    8
    (4
    4
    +1
    8
    ), 13
    8
    , and 18
    8
    (3+4+5+6
    8
    ).[316]
  • Sonata for Cello and Piano by Elliott Carter has 5
    4
    , 5
    8
    , 5
    16
    , 7
    16
    , 14
    32
    , and 21
    32
    .[317]
  • Storm Suite from The Tempest (also known as The Tempest Symphony) has 1
    8
    , 5
    4
    , 5
    8
    , 7
    4
    , and 7
    8
    .[318]
  • String Quartet No. 1 by Elliott Carter has 2
    16
    (as part of an additive time signature), 4
    16
    , 5
    4
    , 5
    8
    , 5
    16
    , 7
    8
    , 7
    16
    , 8
    16
    , 9
    32
    (written as 3
    sixteenth note.
    ), 10
    8
    , 10
    16
    , 12
    32
    (written as 4
    sixteenth note.
    ), 14
    16
    , 15
    8
    , 15
    16
    , 18
    8
    , 18
    16
    , 20
    16
    , and 21
    8
    .[319]
  • String Quartet No. 2 by Elliott Carter has 4
    16
    , 5
    4
    , 5
    8
    , 15
    8
    , 7
    16
    , 10
    8
    , 10
    16
    , 14
    16
    , 15
    8
    , 15
    16
    , and 21
    16
    .[320]
  • String Quartet No. 3 by Elliott Carter has 3
    16
    , 3
    32
    (in an additive time signature), 5
    4
    , 5
    8
    , 5
    16
    , 7
    8
    , 7
    16
    , 9
    32
    , 11
    16
    , 12
    32
    (in an additive time signature), 24
    16
    , 24
    32
    , and 27
    32
    .[321]
  • Structures by Pierre Boulez.[322][323]
    • Ia: 3
      16
      , 4
      16
      , 5
      16
    • Ib: 1
      8
      , 1
      32
      , 2
      16
      , 2
      32
      , 3
      16
      , 3
      32
      , 4
      16
      , 4
      32
      , 5
      4
      , 5
      8
      , 5
      16
      , 5
      32
      , 6
      32
      , 7
      8
      , 7
      16
      , 7
      32
      , 8
      32
      , 9
      32
    • Ic: 3
      16
      , 5
      16
      , 5
      32
    • II, Chapter 1: 1
      4
      , 1
      8
      , 1
      16
      , 3
      16
      , 5
      8
      , 5
      16
      , 7
      8
      , 7
      16
      , 3+5
      16
    • II, Chapter 2: 5
      4
      , 7
      4
      , 11
      4
  • Superscriptio by Brian Ferneyhough has 1
    8
    , 1
    16
    , 1
    32
    , 3
    16
    , 3
    32
    , 3
    64
    , 5
    16
    , 5
    32
    , 5
    64
    , 7
    16
    , 7
    32
    , and 7
    64
    .[284]
  • Suite from The Tempest for violin and piano has 3
    16
    , 5
    4
    , 5
    8
    , 5
    16
    , 7
    8
    , and 7
    16
    .[324]
  • Thrak by King Crimson switches between 5
    8
    , and 7
    8
    throughout the head section.[325]
  • Traced Overhead by Thomas Adès has 1
    2
    , 1
    4
    , 1
    8
    , 2
    1
    , 3
    16
    , 5
    4
    , 5
    8
    , and 7
    4
    .[285]
  • Tract, the eighth part of Fictions by Richard Barrett, has 1
    8
    , 2
    16
    , 4
    32
    , 5
    8
    , 5
    16
    , 5
    [32]
    , 6
    [32]
    , 7
    8
    , 7
    16
    , 7
    32
    , 8
    8
    , 8
    [32]
    , 9
    32
    , 10
    32
    , 11
    8
    , 11
    16
    , 11
    32
    , 12
    [32]
    , 13
    16
    , 13
    32
    , 14
    32
    , 15
    8
    , 15
    16
    , 15
    32
    , 18
    8
    , 19
    32
    , 20
    8
    , and 21
    8
    .[326]
  • Zeitmaße by Karlheinz Stockhausen uses 1
    2
    , 1
    8
    , 1
    16
    , 2
    16
    , 2
    32
    , 3
    16
    , 3
    32
    , 4
    16
    , 8
    8
    , 8
    32
    , 11
    16
    , 12
    32
    , 17
    32
    , 23
    32
    , and 30
    32
    .[135][327]

See also[edit]

Notes and references[edit]

  1. ^ Ian Waugh first lists 2
    2
    , 2
    4
    , 2
    8
    , 3
    2
    , 3
    4
    , 3
    8
    , 4
    2
    , 4
    4
    , 4
    8
    , 6
    4
    , 6
    8
    , 6
    16
    , 9
    4
    , 9
    8
    , 9
    16
    , 12
    4
    , 12
    8
    , and 12
    16
    (Waugh 2003, 76), then says "we've listed all the popular time signatures" (Waugh 2003, 77).
  2. ^ Britten 1945b.
  3. ^ "Variations on an Original Theme "Enigma", Op. 36 (Elgar, Edward) – IMSLP: Free Sheet Music PDF Download". imslp.org. Retrieved 24 August 2021.
  4. ^ Birtwistle, Harrison (1965). Entr'actes and Sappho Fragments. London: Universal Edition, plate U. E. 12948L.
  5. ^ a b c d e Read, Gardner (1978). Modern rhythmic notation. Bloomington: Indiana University Press. ISBN 0-253-33867-0. OCLC 3447628.
  6. ^ Stockhausen, Karlheinz (1966). Mixtur. Universal Edition, plate UE 14261.
  7. ^ "Rhythmicana, HC 557 (Cowell, Henry) - IMSLP: Free Sheet Music PDF Download". imslp.org. Retrieved 21 January 2022.
  8. ^ "Symphony No. 2 (Borodin, Aleksandr) – IMSLP: Free Sheet Music PDF Download". imslp.org. Retrieved 24 August 2021.
  9. ^ "Air - Homage to Sibelius | Faber Music". www.fabermusic.com. Retrieved 8 November 2022.
  10. ^ Copland 1945, 56–59.
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  12. ^ a b c d "Mikrokosmos, Sz.107 (Bartók, Béla) - IMSLP: Free Sheet Music PDF Download". imslp.org. Retrieved 16 February 2022.
  13. ^ a b c d e f g h "Carmina Burana". www.schott-music.com. Retrieved 2 October 2022.
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  44. ^ Chávez 1972, 3–4.
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  65. ^ Bach, Johann (1985). Bischoff, Hans (ed.). Six Partitas and Overture in French Style. Alfred Music Publishing. p. 92. ISBN 978-0-7692-8604-4. Archived from the original on 15 February 2017. Retrieved 24 September 2016.
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  72. ^ "Passacaglia in D minor (Krieger, Johann Philipp) - IMSLP: Free Sheet Music PDF Download". imslp.org. Retrieved 7 October 2022.
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