Shepard Tone
en.wikipedia.org
en.wikipedia.org
I would also like to recommend a (?)recent(2011) paper investigating perpetual accelerando rhythms (no affiliation).
(note to myself -- too many brackets)
D. Stowell, Scheduling and composing with Risset eternal accelerando rhythms http://c4dm.eecs.qmul.ac.uk/papers/2011/Stowell2011icmc.pdf
my favorite example of a shepard tone appears in an old wilco track that appears to be missing from the list.
notably shepard wrapping forms the basis of octave invariant chroma scales used in handcrafted features for old school automatic music transcription algorithms. (probably supplanted by nn stuff today)
https://youtu.be/tg50ozbZcqM?t=216
In the stepwise descent Bach uses the complementary interval of a seventh to leap up before he runs out of pedal notes (i.e., a seventh is just a step with the lower note moved up an octave). But organ pedals typically have some turbocharged partials grooving along, so the leap up a seventh can easily be confused with change of tone color or even volume change on a descending step. Paired with the sustained chromatic harmony changes in the right hand, the pedal's bassline seems to be eternally descending. (Plus Bach extends this unadorned circle of fifths passage much longer than he normally would in any other piece-- if the purpose isn't to imply a potentially eternal descent I don't know what he's doing here...)
Try listening without watching the scrolling score and see if you can pick out where those pedal leaps are.
Also-- ascending new school version, now with "carriage returns":
https://www.youtube.com/watch?v=Q6LmG9myHxA
You also get a nice simulated "Nyquist frequency" when the piano runs out of keys. :)
Edit: clarification
In a dystopian way it's the ever rising desire of intensity and panic for the economy to eternally grow.
Similar to the visuals of this eagle's wing and lion's fur: https://i.pinimg.com/originals/e5/34/b3/e534b3beef8e2e2d5765... continually flowing outward, but the overall look staying the same. Together they have become how I think of human generations ; forever birth, aging, death of individual people outflowing to the isolated edges of old age, but the overall structure holding. Differnt to a river made of individual water drops or history repeating like a spiral.
"The Shepard tone of insanity"
Things seem to perpetually get worse in some way, or so it seems. But often it just appears that way due to similar mechanisms of newly introduced stupidity. Or something like that.
I wonder if it's just inherent to human minds? Or if it's a natural consequence of how we start off as infants having everything taken care of for us, in a world where everyone we know has a defined role and mostly sticks to it, and then as we grow, we find more and more responsibility, and opportunity to make mistakes, and we learn that adults are just fallible humans like us...
SF Jazz Collective (heavy modern jazz arrangement):
https://www.youtube.com/watch?v=z-F_1OvPdqA
Cassandra Wilson (earthy, lyrics in English):
https://www.youtube.com/watch?v=cIehPcFebHo
Trio Mocoto (melody played on Cuica, which is nuts):
As an aside, I recently heard on the radio a cover of this by Art Garfunkel, which may be one of the worst things I've heard. As you may expect, he mananged to strip all of the life out of the song, which made me sad.
#Exampleshttps://mynoise.net/NoiseMachines/shepardAudioIllusionToneGe...
Sounds like a jet engine spooling down to me