Fugue analysis

We present here a computational analysis of fugues, trying to automatically analyze their structure. You can switch between a ground truth analysis and the output of our method. For Bach fugues, click on S/CS patterns to display them. For more information, and discussion on this method and its results, please see the fugues main page and the bibliographical references.

Fugue #1 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

I 1 3 5 7 9 11 13 15 17 19 21 23 25 27 Ground truth vi:PAC I:PAC I:PAC S S S-inc S S S S S S S S S S S S S-inc S S S S S S S S 1 2 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
c, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 Computed analysis I V V I I V V V II III I V I V VI II VI III V VII I IV C:rIAC a:PAC D:PAC G:rIAC C:PAC v ^ S S h S S S S S S S S S S S S h S S S S S S S S PM PM PM PM exposition episode exposition episode exposition episode 1 2 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
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Fugue #2 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

I 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 Ground truth v:PAC i:rIAC i:IAC I:PAC S CS1 S CS1 S CS1a CS2 S S CS1 CS2 CS2 S CS1 CS1b S CS1 CS2 CS2 S 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
c,, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 Computed analysis I V I III V I I I g:PAC c:rIAC c:PAC ^ v S h h h CS1 h h S CS1 S h h CS2 S S CS1 CS2 h h S h h h CS1 h h S CS1 CS2 h h h CS2 S 1 2 1 2 3 PM 1 PM 2 3 4 PM 1 2 3 1 2 3 PM 1 2 PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
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Fugue #3 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 5 9 13 17 21 25 29 33 37 41 45 49 53 Ground truth V:PAC ii:rIAC iii:PAC I:rIAC V:rIAC VI:DC I:PAC S CS1 CS2 S CS1 CS2 S CS1 S CS1 CS2 S S CS1 CS1 S CS2-inc S S CS1 CS1 S CS3 S CS1 CS1 CS2 CS1-inc-IGN CS2 S CS3 1 2 3 4 5 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
1 5 9 13 17 21 25 29 33 37 41 45 49 53 Computed analysis I V I V VI III V II I V I I G:PAC d:rIAC e:rIAC e:PAC C:rIAC G:rIAC ^ ^ ^ v v v S CS1 CS2 S h h CS1 CS2 h h S CS1 h h h h h S CS1 CS2 S h S CS1 h h h S CS2 S S CS1 h h h h S S CS1 h h h h h h h h h h h h S 1 2 3 1 2 3 1 2 1 1 2 3 2 4 3 4 1 2 3 PM 1 2 episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 5 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
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Fugue #4 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

V I 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 Ground truth v:rIAC III:PAC i:rIAC I:PAC S S2 S2 S S3-IGN S2-inc-IGN S S3-IGN S varied S2-inc-IGN S S2 S S3-IGN S-inc-IGN S-inc-IGN S3-IGN S-var-IGN S S S2-inc-IGN S S3-IGN S2 S3-IGN S3-IGN S3-IGN S2 S3-IGN S-inc-IGN S3-IGN S3-inc-IGN S3-IGN S-inc-IGN S S S S S3 S2 S2 S3 S3-IGN S2 S3 S3-IGN S3 S3-inc-IGN S3-IGN S3-IGN S CS1-IGN S S S S S3 S3 S S3-IGN S2 S3-inc-IGN S3-inc-IGN S3 S-inc-IGN S3-inc-IGN S3-IGN S3-IGN S CS1-IGN S S2 S3 S3-IGN S2 S S2 S3-IGN S3 S3-IGN S S3-inc-IGN 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
cs, b, gs gs,, cs, cs' 1 9 17 25 33 41 49 57 65 73 81 89 97 105 113 Computed analysis I V I I V IV I VII III I IV I I g:rIAC E:PAC f:rIAC A:rIAC c:rIAC c:PAC c:rIAC c:rIAC ^ v v v v S S S S S CS1 S S S S S S CS1 CS2 CS2-nc S S PM 1 2 3 1 2 3 1 PM 2 PM 1 2 3 PM 1 2 1 2 1 2 PM PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
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Fugue #5 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 3 5 7 9 11 13 15 17 19 21 23 25 27 Ground truth V:rIAC V:rIAC vi:rIAC ii:PAC I:HC I:PAC I:PAC S S S CS2 S CS2 varied S CS2 CS2 S CS2 CS3 CS3 S CS2 CS3 CS1 CS3 S CS3 S CS1 CS1 CS1 S CS1 CS1 CS1 CS1 CS1 S 1 2 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
1 3 5 7 9 11 13 15 17 19 21 23 25 27 Computed analysis I V I V II II I VI VI V IV IV I VI I IV III II V IV III VI II V I V VI VII V VI I IV IV VI VII II A:rIAC D:rIAC b:rIAC e:PAC D:rIAC D:PAC D:PAC v v ^ ^ ^ ^ ^ ^ v ^ ^ v v S CS1-nc S S CS1 S S S S S S S S S S S CS1 S CS1 S S S S CS1-nc S S S CS1 CS1-nc CS2 S S S S S S CS1-nc CS1-nc S S h h S S S S S S CS1-nc CS1-nc CS1-nc CS1-nc 1 2 PM 1 PM 2 PM PM 1 PM 2 PM 3 PM PM PM PM PM 1 2 1 PM PM 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 1 2 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
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Fugue #6 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

I 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 Ground truth v:PAC I:PAC S CS1 CS1a S S CS1-inc-IGN CS1-var-IGN CS1-var-IGN CS1-inc-IGN S-inv CS1-inc-IGN S-inv CS1-inc-IGN CS1-inc-IGN S-inc-IGN CS1-var-IGN CS1-var-IGN S CS1b S-invinc-IGN S-inv S S-invinc-IGN S S-inc-IGN S-invinc-IGN S S-inc-IGN S CS1 CS1-inc-IGN S-inc-IGN S CS1-var-IGN S S-inv S-invinc-IGN CS1-inc-IGN S-inv S S CS1-var-IGN 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 Computed analysis I V I III V VI V VI I II I a:PAC d:PAC ^ v S CS1 CS2 S S CS2-nc CS2-nc CS2-nc CS2 CS2-nc h CS2-nc CS2-nc CS2-nc CS2-nc S CS2-nc S-inv S S h h S h S CS1 CS2 h S CS2-nc S S-inv CS2-nc S-inv h S CS2-nc 1 2 3 3 1 PM 2 PM 3 3 PM 1 PM 2 PM 3 PM 4 4 exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4
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Fugue #7 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

I 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 Ground truth vi:PAC V:PAC I:HC vi:DC I:PAC S CS1 S CS1 CS1 S S CS1 S CS1 CS1 S S CS1 S S 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 Computed analysis I V I V III VI V I V A:rIAC A:rIAC F:rIAC C:rIAC c:PAC e:PAC ^ ^ ^ v v v S h h h S h h h h h h S S h h S S S h h h S h h S h h h 1 2 1 2 3 1 2 3 1 2 1 2 1 2 1 2 1 2 3 1 2 3 1 2 3 exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
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Fugue #8 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 Ground truth v:PAC III:PAC I:PAC I:HC I:HC I:PAC S S S S S-inv S-inv S-invvar-IGN S-inc-IGN S-invinc-IGN S S-inv S S-aug S S S-var augmented+rhythmicvar-IGN S S-inv S-inv S-inc-IGN S-invinc-IGN S S-aug S S-var-IGN S S S S-inv varied-fragmented S-inv S-inc-IGN S-invinc-IGN S-aug S S 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
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 V I VI VI V I VII III IV V IV I I III VI I V d:rIAC d:PAC d:rIAC a:PAC a:PAC f:PAC g:rIAC g:rIAC g:PAC d:rIAC F:rIAC F:rIAC D:PAC ^ ^ v ^ ^ ^ ^ S S S S S-inv S-inv S S-inv S S-inv S S-aug S S S S-inv S-inv S S-inv S S-aug S S S h S-inv S-inv S S-aug S S PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM PM 1 2 3 1 PM 2 3 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 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
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Fugue #9 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 Ground truth V:rIAC vi:rIAC I:PAC S CS1-in-episode-IGN S CS1 CS1-inc-IGN CS1-in-episode-IGN CS1-in-episode-IGN CS1-in-episode varied-IGN S CS1 varied S CS1-in-episode-IGN CS1-in-episode varied-IGN S CS1 S CS1-in-episode-IGN S CS1-in-episode-IGN CS1-in-episode-IGN S CS1-in-episode-IGN CS1-in-episode-IGN CS1-in-episode-IGN CS1 varied S CS1-in-episode-IGN CS1-in-episode varied-IGN CS1-in-episode varied-IGN S CS1-in-episode-IGN CS1-in-episode-IGN S CS1 S 1 2 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 Computed analysis I V I I V VI I V I II B:rIAC c:rIAC E:PAC ^ ^ ^ ^ ^ v S S CS1-nc CS1-nc CS1-nc CS1-nc S S CS1-nc S CS1 S S CS1-nc S CS1-nc CS1-nc S CS1-nc CS1-nc h CS1-nc S h PM 1 1 2 2 3 3 1 2 1 2 3 1 2 episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9
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Fugue #10 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 Ground truth I:rIAC S CS1 S CS1 CS1 S CS1-in-episode CS1-in-episode CS1 S S-inc S CS1-in-episode CS1-in-episode CS1 S S CS1 S CS1 CS1-inc 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 Computed analysis I V III VII IV I VII IV ^ v v S CS1 h h h h S CS1 CS1 S CS1-nc CS1-nc CS1 S h S CS1-nc CS1-nc CS1 S S CS1 h h h h S CS1 1 2 3 3 PM 1 2 U 1 2 3 3 PM 1 2 U exposition episode exposition episode exposition episode exposition episode 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2
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Fugue #11 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

V 1 3 5 7 9 11 13 15 17 19 21 23 25 27 Ground truth vi:PAC ii:PAC I:PAC S CS1-inc-IGN S CS1 CS1 varied S S varied-fragmented S-var-IGN S CS1 CS1a S S S S varied-fragmented S CS1b S CS1-inc-IGN S S 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2
a, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 Computed analysis I V I I V I I VI VI VI B:rIAC d:PAC g:PAC F:rIAC ^ v S h S CS1 S h h S CS1 S S S h h S CS1-nc S h S h 1 2 3 PM exposition episode exposition episode exposition episode exposition episode 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2
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Fugue #12 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 Ground truth VII:rIAC v:HC I:PAC S CS1b CS2b CS1b S CS1-tail-IGN S CS1 CS2b CS3b CS1a CS2-inc-IGN CS2a CS3 S CS1 varied-fragmented S CS1 CS2 CS2a CS3a S CS1 CS1a S CS2-inc-IGN S CS1 S S 1 2 3 4 5 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8
1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 Computed analysis I V I I V I III VII IV I E:rIAC F:PAC ^ ^ ^ ^ v v v ^ S S S CS1 S CS1 S CS1 S CS1 S S CS1 S S 1 2 1 2 1 2 1 2 3 3 1 2 1 2 3 1 2 1 2 3 1 PM 2 1 2 1 2 1 2 3 1 2 PM 1 2 PM PM episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 5 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8
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Fugue #13 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

IV 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 Ground truth I:rIAC V:PAC V:PAC VI:PAC I:rIAC I:PAC S CS1 S varied-consolidated CS1-tail-IGN CS2 CS2 S S CS1 CS1 varied-end S CS1-inc S CS1-tail-IGN S CS2 CS1 varied-end S CS1 varied-end 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
b, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 Computed analysis I V I V VI IV I F:rIAC C:PAC C:PAC a:rIAC d:rIAC d:PAC d:PAC F:rIAC F:rIAC F:PAC v ^ ^ ^ v ^ ^ v v S CS1 h h S S CS1 h S h S S S h h h 1 2 3 PM 1 2 3 1 2 3 1 2 3 4 PM exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
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Fugue #14 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

V 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 Ground truth v:PAC v:PAC I:PAC CS1-ext-IGN S S CS1-ext-IGN CS1 S S CS1 S-inv CS1 CS2-var-IGN CS1 varied-end S CS1 CS2-IGN CS2-var-IGN S CS1-inc S CS1-ext-IGN CS1 S-inv 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0
cs, 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 Computed analysis I V I I I I c:PAC B:rIAC c:PAC F:PAC v ^ v S CS1 S S CS1 S-inv CS1-nc S CS1 S S CS1 S-inv 1 2 1 2 3 PM 1 2 PM PM 1 2 3 3 3 1 2 1 2 PM PM 1 PM PM 2 3 3 3 1 PM 2 PM episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0
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Fugue #15 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

V/vi ii V I 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 Ground truth V:PAC I:PAC S CS1-IGN S-inv CS1-inv-IGN S CS1-inv-IGN S-inc-IGN S-inc-IGN S-inc-IGN S CS1-inc-IGN S-inv CS1-inv-IGN CS1-inc-IGN S-inv-inc-IGN S-inc-IGN CS1-inv-IGN S-inv-inc-IGN S-inc-IGN S CS1-inv-IGN S-inv-inc-IGN S-inc-IGN S-inv varied S-inv-inc-IGN S-inv-inc-IGN 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
d' d' a,, e' d' d,, g,, 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 Computed analysis I V I VI D:rIAC b:rIAC D:rIAC G:PAC v ^ ^ ^ ^ v v S h h h h h h S-inv h h h h S h h h h h h h h h h h h h h h h S h h h S-inv h h h h h h h h h h h h h h h h h h h h h S h h h h h h h h h h h h h h h h PM 1 2 3 1 PM 2 1 2 1 2 3 4 1 2 1 2 3 PM PM PM 1 2 1 3 2 PM exposition episode exposition episode exposition episode 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7
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Fugue #16 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 Ground truth III:PAC i:PAC i:HC I:PAC S CS1 S CS1-ext-IGN CS1 S CS1 varied S S CS1 S S CS1 S CS1 S S CS1 CS1 S S S CS1 S CS1 S S CS1 S-inc CS1-ext-IGN CS1-ext-IGN CS1 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 Computed analysis I V I V III VII VII III VI IV IV I I I I g:PAC B:PAC g:PAC ^ ^ v S S S S S CS1 S S h S S S S S CS1 S CS1 S S h 1 2 PM PM PM PM 1 2 3 PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4
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Fugue #17 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 Ground truth VI:PAC ii:rIAC V:PAC vi:DC I:PAC S S S S S S S S S S S S S S S 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 Computed analysis I V I V I VI II V V I I VI IV II I A:rIAC f:PAC G:rIAC E:PAC f:rIAC A:PAC ^ ^ v v S S S S S S S S S S CS1 CS2 S S CS1-nc CS1-nc CS1-nc S S CS1-nc S CS1-nc 1 2 3 1 2 1 2 1 2 1 2 3 episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
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Fugue #18 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

V 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 Ground truth i:PAC v:PAC i:PAC i:PAC II:rIAC i:PAC I:PAC S CS1 CS1 CS2-inc S CS2-inc S S CS1 CS2 CS1 varied S CS1 varied CS1 varied S CS1 CS2 S S CS1 S S S CS2 S 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
gs, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 Computed analysis I IV I IV IV IV I IV V VI I IV g:PAC B:PAC d:PAC g:PAC e:PAC c:PAC A:rIAC c:PAC d:PAC b:PAC g:PAC g:PAC ^ ^ v S CS1 CS1 S S S CS1 h S h S CS1 CS2 S S CS1 h S S S CS2 S PM 1 2 3 1 2 3 PM PM 1 2 PM 1 2 1 2 PM PM episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
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Fugue #19 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 Ground truth I:PAC vi:rIAC ii:PAC V:PAC I:PAC ii:PAC vi:PAC I:PAC I:rIAC S S S-var S CS1 S S varied S S S S S-var S CS1 S-var S-var 1 2 3 4 5 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4
1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 Computed analysis I V I V I V I VI IV II D:rIAC a:PAC b:rIAC D:PAC A:rIAC D:rIAC a:PAC v ^ v v v S CS1 CS2 S CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc h CS1-nc CS1-nc S CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc S CS1-nc CS1-nc CS1-nc CS1-nc S CS2-nc S S CS1-nc CS1-nc S CS1-nc CS1-nc CS1-nc S CS1-nc S CS2-nc CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc CS1-nc PM PM PM PM PM PM 1 2 3 PM PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 5 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4
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Fugue #20 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

V V VII I 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 81 85 Ground truth V:PAC VII:PAC i:PAC III:rIAC III:PAC iv:PAC I:HC V:HC I:PAC S CS1-IGNa S-invinc S S S-inv S-invinc S-inv S-invinc S-inc S-inc S-inc S CS1-IGN CS1-IGNb CS1-IGN S-invinc S S S-inv S-invinc S-invinc S-invinccc S-inc S-inc S-inc S S-invinc S S S-inv S-invinccc S S-invinccc S-invinccc S S-invinc S S S-inv S-invinccc S S-invinc S-invinccc 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9
e,, e, c' g,, 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77 Computed analysis I V I V I I V V I I III III IV I E:PAC G:PAC a:PAC e:rIAC C:rIAC C:rIAC C:PAC d:PAC d:PAC d:rIAC v ^ ^ S h S h h h h h S S-inv S-inv h h S h h h S S S-inv h h h h h h h S h S h S S-inv S S h h h S h h S S-inv S PM 1 2 1 PM 2 1 1 2 3 2 PM PM PM PM 1 PM 2 PM PM PM PM PM 1 2 PM PM PM PM 1 PM 2 PM PM PM 1 2 PM 1 2 1 2 PM 1 2 PM PM 1 2 1 PM 2 1 2 PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9
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Fugue #21 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 Ground truth V:rIAC I:PAC S CS1 CS2 S CS1 CS2 CS1-inc S CS1 S CS1 CS2 S CS1 S-inc CS1 S S CS1 CS2 S CS2-inc CS2 CS2 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 Computed analysis I V I V VI II IV I F:rIAC B:PAC ^ ^ ^ ^ v ^ S CS1 S CS1 S CS1 S CS1 S CS1 CS1 S S CS1 S PM 1 2 1 2 3 PM 1 2 3 1 PM 2 3 PM PM 1 PM 2 PM exposition episode exposition episode exposition episode 1 2 3 4 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8
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Fugue #22 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 Ground truth III:PAC VII:PAC IV:PAC vi:DC I:PAC S S S-inc S S S-inc S S-inc S S S S-inc S S S S S S S S S S 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
af, bf 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 Computed analysis I V V I III I IV VII IV V VII I V I D:PAC A:PAC b:rIAC e:rIAC e:PAC B:PAC ^ ^ v S CS1 CS2 S h S S CS1-nc S h S S h S h S S S h S S CS2-nc S 1 2 3 4 PM PM PM PM PM 1 2 3 3 PM PM 1 PM PM 2 PM PM PM PM PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
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Fugue #23 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

V 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 Ground truth I:rIAC V:PAC ii:PAC I:rIAC S CS1 CS1-inc-IGN CS1-incvar-IGN S-inv S S CS1 CS1-inc-IGN S varied-fragmented S-inv S CS1 S CS1 S S varied-fragmented CS1-incvar-IGN S S 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 Computed analysis I V I V I V I IV I V B:rIAC F:PAC c:PAC B:rIAC v ^ ^ v v ^ S CS1 S-inv S S S S-inv S CS1 S CS1 S S S S PM PM PM PM PM exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode exposition episode 1 2 3 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4
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Fugue #24 – BWV 846

J. S. Bach, The Well-Tempered Clavier, volume 1

V 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 Ground truth v:rIAC I:PAC S CS1b CS1b S-inc CS1a CS1-inc-IGN S-inc CS1a-var-IGN CS1a-var-IGN CS1b CS1b CS1b CS1a CS1a varied CS1-inc-IGN S CS1a CS1b CS1a inverted S S-inc S-inc CS1-inc varied-IGN CS1a CS1a S-inc S CS1b CS1a inverted S CS1a-var-IGN S S S S-inc S CS1b CS1a varied S CS1a-var-IGN CS1a-var-IGN S-inc S S S 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6
a' fs, fs, 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 Computed analysis I IV I IV I IV I III VI V IV I IV f:PAC b:PAC v ^ ^ S h h S S h h h S S S S S h S S h S S S PM 1 2 3 1 2 3 4 1 PM 2 1 2 3 1 1 4 2 5 3 2 4 3 1 2 1 2 1 2 1 2 3 1 2 3 PM 1 2 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 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6
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