31 min listen
The Crab Canon Isn’t a Möbius Strip. (BWV 1087 Canons Part THREE)
The Crab Canon Isn’t a Möbius Strip. (BWV 1087 Canons Part THREE)
ratings:
Length:
27 minutes
Released:
Jul 26, 2023
Format:
Podcast episode
Description
Though this episode starts with quite the extended introduction, this is in fact
EPISODE THREE
In a four-part study into the 14 additional canons on the back of the Goldbergs, BWV1087.
Here in this video, we dismiss a popular Bach video, and examine which videos are in fact Möbius strips.
Here is the disproven crab canon video.
Here are two studies which don't quite go far enough:
One. I love this channel, don't get me wrong- they just didn't quite examine the consequences of chromatic inversion.
Two. The American Mathematical Society publishes similarly.
Both studies miss the technical inversions that I have pointed out in this episode.
--
And now the blurb from the other two episodes studying BWV 1087:
On the back of his own personal copy of the 'Goldberg Variations', Bach notated an additional fourteen canons. These were discovered only as late as 1974(!) and are among the most interesting compositional exercises we know from the composer.
From eight bass notes (the first 8 notes of the 'Goldberg' Aria- the structure in a sense,) Bach creates, yes, fourteen other canons. In this episode, we discuss engraving and canons 5-9.
Here is what they look like as seen on the back of Bach's own copy:
and HERE is the link to engraving- you can see how Balthasar Schmid (I accidentally added an 'S' to his name in the episode) engraved Bach's BWV988.
Support us:
https://www.patreon.com/wtfbach
https://www.paypal.me/wtfbach
https://venmo.com/wtfbach
https://cash.app/$wtfbach
Ideas? Wanna sponsor an episode?
Write us:
bach (at) wtfbach (dot) com
EPISODE THREE
In a four-part study into the 14 additional canons on the back of the Goldbergs, BWV1087.
Here in this video, we dismiss a popular Bach video, and examine which videos are in fact Möbius strips.
Here is the disproven crab canon video.
Here are two studies which don't quite go far enough:
One. I love this channel, don't get me wrong- they just didn't quite examine the consequences of chromatic inversion.
Two. The American Mathematical Society publishes similarly.
Both studies miss the technical inversions that I have pointed out in this episode.
--
And now the blurb from the other two episodes studying BWV 1087:
On the back of his own personal copy of the 'Goldberg Variations', Bach notated an additional fourteen canons. These were discovered only as late as 1974(!) and are among the most interesting compositional exercises we know from the composer.
From eight bass notes (the first 8 notes of the 'Goldberg' Aria- the structure in a sense,) Bach creates, yes, fourteen other canons. In this episode, we discuss engraving and canons 5-9.
Here is what they look like as seen on the back of Bach's own copy:
and HERE is the link to engraving- you can see how Balthasar Schmid (I accidentally added an 'S' to his name in the episode) engraved Bach's BWV988.
Support us:
https://www.patreon.com/wtfbach
https://www.paypal.me/wtfbach
https://venmo.com/wtfbach
https://cash.app/$wtfbach
Ideas? Wanna sponsor an episode?
Write us:
bach (at) wtfbach (dot) com
Released:
Jul 26, 2023
Format:
Podcast episode
Titles in the series (67)
The Second Canon in The Art of Fugue: A canon functioning at two simultaneous intervals!?: Rather than moving on to the compound fugues, we have a pleasant visit to the second of four canons from "The Art of Fugue" by J.S. Bach: Canon alla Decima in contrapunto alla Terza (Canon at the Tenth in counterpoint at the Third) Topics covered: Al... by The WTF Bach Podcast