Fugue analysis

We present here a computational analysis of fugues, trying to automatically analyze their structure. You can switch between a reference analysis and the output of our method. For more information, and discussion on this method and its results, please see the fugues main page and the bibliographical references.

Fugue #01

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

V 1 9 17 25 33 41 49 57 65 73 81 89 97 105 Reference analysis S CS1 CS2 S CS1 S S-inc-IGN S CS1 CS2 CS2-inc S S S CS1 CS2 S CS1 CS2 CS2 CS2-inc S S CS1 CS2 S CS1 CS2-inc S S-inc-IGN I:PAC-IGN
g,, g,, a, c, c, g, 1 9 17 25 33 41 49 57 65 73 81 89 97 105 Computed analysis I VII III III I III V VII IV VII IV v v ^ ^ v S CS1 CS2 S CS1 S S CS1 CS2 S S CS1 CS2 S CS1 CS2 S S CS1 CS2 S CS1 S h PM 1 2 1 2 episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #03

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

I 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 Reference analysis S CS1 CS2 CS1 S S S S S-inc-IGN S-inc-IGN S-inc-IGN S-inc-IGN S-aug-IGN S CS1 CS2 S CS2 CS1 S S S-inc-IGN S-inc-IGN S-aug-IGN S S CS1 CS1 CS2 CS1 S-inc-IGN S-inc-IGN S-inc-IGN S S-inc-IGN S
gs,, g,, d' g,, 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 Computed analysis I II D:rIAC ^ ^ ^ ^ ^ v S S h h h h h h h h h h h h h h h h h h 1 2 3 1 2 1 2 3 3 1 2 1 2 1 2 3 exposition episode exposition episode
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Fugue #04

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129 Reference analysis S CS2 CS1 S2 CS3 CS3 S2 S2 S2 S S2 S2 S CS1 CS2 CS1 S CS2 CS2-inc-IGN S2 CS3 S2 CS3 S S CS1 CS2 S-inc-IGN CS1b S2 CS3 S2 S2 S CS1 S CS1 S CS1a S2 S2 CS3 S S2 S S-inc-IGN S V/V>V-IGN
d fs' e e ds b, fs fs, a g, g, fs, f, b, fs,, 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129 Computed analysis I VI III II VII IV II IV I ^ ^ v S S S CS1 CS1 S S S S S S 1 2 1 2 3 3 exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #05

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 Reference analysis S CS1 S CS2 CS1 CS2 CS1 S CS1-inc S S S-inc-IGN S CS1 CS2 CS1 varied-end CS1 S CS1 CS2 S CS2 S S Svar-IGN S CS2 S S S CS1 S-inc-IGN S-inc-IGN S S
g e b g' d' ds g, d,, g 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 Computed analysis I VII VI IV IV III VI VII IV ^ ^ v S CS1 S h CS1 h CS1 h h h S CS1 CS1 CS1 h CS1 S h h S h S S h S CS1 h h h h h h S 1 2 U exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #07

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

V VI I 1 9 17 25 33 41 49 57 65 73 81 89 97 Reference analysis S CS1 CS2 CS1 Sa CS2a CS1 S CS1a Sb CS2 S S varied S varied S-inc-IGN S CS1 S CS2b Sb S CS1 Sa CS1b CS1 CS1 S S CS2 CS1 S S-inc-IGN S-inc-IGN I:rIAC-IGN VIb:rIAC-IGN I:rIAC-IGN
a,, 1 9 17 25 33 41 49 57 65 73 81 89 97 Computed analysis I VI VI VII VI VI VII II V A:rIAC D:rIAC F:rIAC ^ ^ ^ v S CS1 CS2 h CS1 S h CS2 h S h h h h h h h h h h h h S h CS1 h h S h S CS1 CS1 h CS1 S h h h S CS2 CS1 S h h h h h h h h 1 2 1 2 3 exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #08

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

1 9 17 25 33 41 49 57 65 73 81 89 97 105 Reference analysis S CS1 CS2 S CS2 S-inc-IGN S S-inc-IGN S-inc-IGN S S CS1 S CS1 CS1 S CS1 S-inc-IGN S-inc-IGN S CS1 CS2 S CS1 S S-inc-in-episode-IGN S-inc-IGN S-inc-in-episode-IGN
1 9 17 25 33 41 49 57 65 73 81 89 97 105 Computed analysis I VII III VI VI II II VI VII IV f:PAC ^ ^ ^ ^ v v v v v v S CS2 S h h S S h h h h S S h h S h h h S CS1 CS2 S CS1 S h h h h h h h 1 2 3 3 3 3 1 2 3 3 3 1 2 3 3 3 1 2 3 3 3 3 1 2 3 3 3 3 1 2 3 3 3 3 1 2 4 1 2 3 1 2 3 3 1 PM 2 PM 1 2 3 3 3 3 3 1 2 3 3 1 2 1 3 2 1 PM 2 episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #09

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

1 5 9 13 17 21 25 29 33 37 41 45 49 Reference analysis S CS1 CS1 S Sinv CS1inv CS1 S S S Sinv S S S CS1 CS1inv Sinv S CS1 S S Sinv I:rIAC-IGN
1 5 9 13 17 21 25 29 33 37 41 45 49 Computed analysis I VI VI VII III II V VI VII V I ^ ^ v ^ ^ ^ ^ ^ v v v v v S CS1 h h h h CS1 S h S-inv h h h h CS1 S h h h S S h h S-inv h S S S CS1 h h h h S-inv S CS1 h h S S h h h h S-inv 1 2 1 2 1 2 1 2 exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #10

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

V I I 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129 Reference analysis S CS1 CS2 CS1 CS2 S S S S CS1 S CS1 S S S CS1 CS2 CS1 CS1 CS2 S CS1 CS2 CS2 S S CS2 S CS1 CS2 S S CS1 CS1 CS2 CS1 CS2 CS1 S S S S S S CS2 S CS1 CS2 S
gs,, gs, cs, cs,, 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129 Computed analysis I III III II I VII II III III II V IV I III VII III VII IV VI I II ^ v v v v v S CS1 CS2 CS1 CS2 S S S S CS1 S CS1 S S S CS1 CS2 CS1 CS1 CS2 S CS1 h S CS2 S CS1 CS2 S S CS1 CS1 CS1 CS2 CS1 S S S S h S CS2 S CS1 CS2 S 1 2 3 3 1 2 3 1 2 3 3 1 2 3 PM 1 2 3 3 3 3 1 2 1 2 episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #12

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

V I I 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129 137 145 153 Reference analysis S CS1 CS1 S CS1 CS1 varied S CS1-inc-IGN S S-inc-IGN S-inc-IGN S-inc-IGN S S-inc-IGN S CS1 S S CS1-inc-IGN S-inc-IGN CS1 S CS1 CS1 S S CS1 CS1-inc-IGN S S-inc-IGN S-inc-IGN S-inc-IGN S CS1 S S CS1 CS1 S S-inc-IGN S-inc-IGN
g gs, b,, gs,, b, gs,, gs gs,, d, 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129 137 145 153 Computed analysis I VI VI II IV III VI VI VI III VII III IV I I VI IV II III II IV VII C:rIAC d:PAC ^ v v v h S S S S S S S h S S S S S h S S h S S S S S S S S h PM PM PM 1 2 3 1 2 episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #13

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

d,, b,,, cs, gs,, d,, cs, fs,, as 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 Computed analysis I I III III VI IV VI II I IV VII V VII III VII II VI IV VII V VII VII III ^ ^ v S S CS1 CS2 S S S S CS1 S S S CS1 CS2 CS2 CS2 S S CS1 CS2 CS2 S S S S S S S S S CS2 CS2 S S S PM PM 1 2 episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #14

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

ef, df' b ff, b, af,, bf,,, bf ef,, ef,, ef 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 Computed analysis I VI VI VII VII VI II II IV IV III ^ v S CS1 h S S S h h h S CS1 S h S h S S h S S 1 2 exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #15

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

af gf g,, 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 Computed analysis I VI VI III II VI IV II V V III IV VI VII III ^ ^ v S CS1 CS2 h S S CS1 h h S h S h h CS1 h h S S CS2 CS1 h S h h h h S h S CS2 CS1 S h h h h h h S h S S h h h S h h PM PM PM PM PM 1 2 PM PM PM PM PM 1 2 1 2 PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #17

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

ef, ef, ef, af,, af,, af, af, af,, af,, af,, af, af,, 1 9 17 25 33 41 49 57 65 73 81 89 97 Computed analysis E:rIAC G:PAC A:rIAC A:rIAC D:rIAC D:rIAC ^ ^ v v v 1 2 -
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Fugue #19

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

bf,, ef,, af,, af ef, ef, g bf ef, g 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 89 Computed analysis I VII III III I VII IV II IV VI g:PAC v ^ ^ ^ ^ S h CS1 S S S CS1 S S h S CS1 CS1 S CS1 S S PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #20

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

c g bf ef bf, d ef d bf ef af g, bf af f' df'' f' ef,, a,, g, ff b, ef g, g,, g,, f, gf, a, f, c, f f,, af, g,, af,, af af,, gf, ef, f,, c,, c, c, g, ff 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 121 129 137 Computed analysis I VII III V II V VII III II IV III VII I II VII I a:PAC f:PAC ^ v S CS1 CS2 CS2 S CS2 CS1 S S S CS1 CS1 CS1 S S S S CS1 CS2 CS1 S CS2 S S S CS1 S S h S PM PM 1 2 PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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Fugue #24

D. Shostakovich, 24 Preludes and Fugues, op. 57 (1952)

bf, f 1 17 33 49 65 81 97 113 129 145 161 177 193 209 Computed analysis I VII III II III V V VI IV VI VII VI B:PAC D:rIAC ^ ^ ^ v v S CS2 S CS1 S S S CS1 CS1 h S h h S S S S h S CS1 CS2 S h h 1 1 2 2 3 3 3 1 2 3 1 2 3 3 3 1 1 2 2 3 3 3 1 PM 2 3 1 2 1 2 PM 3 1 2 1 2 1 2 3 PM 1 2 1 2 3 3 3 3 3 1 2 3 1 2 1 3 2 1 2 5 5 5 1 2 3 3 3 1 1 2 2 1 3 1 2 1 2 1 2 1 3 2 4 2 3 5 5 5 4 PM 1 2 3 3 1 2 1 2 1 2 1 2 1 1 3 3 1 2 2 1 2 3 2 1 4 3 2 4 3 PM 5 PM PM PM 1 2 1 2 2 3 3 3 3 3 3 PM 1 2 1 PM 2 PM 3 3 3 episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode
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