The Art of Fugue, BWV 1080, by Johann Sebastian Bach

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"Über dieser Fuge..."
Structure of The Art of Fugue
The "unfinished" fugue
About the realization
How to listen to The Art of Fugue
About the narratives below


The Art of Fugue

Simple Fugues
Contrapunctus I  (3:52)
Contrapunctus II  (3:12)
Contrapunctus III  (3:49)
Contrapunctus IV  (3:18)

Canon alla Ottava  (4:12)

Stretto Fugues
Contrapunctus V  (2:24)
Contrapunctus VI  (4:20)
Contrapunctus VII  (2:49)

Canon alla Decima  (4:44)

Double and Triple Fugues
Contrapunctus VIII  (5:17)
Contrapunctus IX  (2:46)
Contrapunctus X  (3:29)
Contrapunctus XI  (6:58)

Canon alla Duodecima  (3:33)

Mirror Fugues
Contrapunctus XII + inversus  (3:36)
Contrapunctus XIII + inversus  (4:23)

Canon per Augmentationem  (4:16)

Quadruple Fugue
Contrapunctus XIV  (11:52)

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Contrapunctus XIII: mirror fugue, 71 bars, 4:23   

Here's the second of AOF's mirror fugues, and if anything, this one is even bouncier and more fun to listen to than Contrapunctus XII. Again, you will hear the fugue at the start of the track, followed by its mirror, which begins at 2:10, exactly halfway through the track (surprise). This mirror employs another complex variant of the main AOF subject with a dancing character reminiscent of the Canon alla ottava.

Player image: Another celestial marvel of symmetry is the Cat Eye nebula. This is one of many examples in the cosmos of a so-called "planetary nebula," the shell of gas and dust flung off by a dying star, just visible as the point of light at the very center of the nebula. The material of the star, shed in its death throes, expands in complex spheroidal shapes affected by the interstellar environment into which they expand. Image credit: Hubble Space Telescope.