Reddit reviews The Geometry of Musical Rhythm

I think you will fine Dmitri Tymoczko's A Geometry of Music much more substanial. Or perhaps Godfried T. Toussaint's The Geometry of Musical Rhythm.

This is, to put it simply, awesome: http://cgm.cs.mcgill.ca/~godfried/rhythm-and-mathematics.html

I also recommend his book: http://www.amazon.com/The-Geometry-Musical-Rhythm-Makes/dp/1466512024

For the sake of being well-rounded, I think it's a good idea to be familiar with some standard methodologies: Schenkerian analysis, pitch-class set theory, transformational theory, theories of formal function (ditto H&D and Janet Schmalfeldt), and rhythm and meter (Toussaint gets an honorable mention). I haven't gone through all of the above (but have done most of them), and I'm not suggesting any kind of curriculum, but getting familiar with what methodologies are out there is a good idea for a budding analyst. You could probably just dive in to whatever repertoire floats your boat. Give Danuta Mirka's Metric Manipulations in Haydn and Mozart a spin. Understanding Rock is probably a good volume for beginners to analysis because the essays are short, punchy, and relatively self-contained.

https://www.amazon.com/Geometry-Musical-Rhythm-What-Makes/dp/1466512024

I think theory as a whole has reached a very comfortable spot. Sure, we might still not have a tuning with perfect ratios of its harmonics on the octave, perfect fifth, mayor third, etc etc. But humanity knew how to adapt to what was already available and theory has gone beyond music to blend itself with non-functional sounds very useful for movies, video games or theater.

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I think the guinea pigs are the people themselves: we collectively decide what we like and the people who write for the big names take note.

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With that said there's a lot of experimentation with microtonality in both music (king gizzard & jacob collier are the first to come to my mind) and we have books that look to implement math into theory and expand whats possible:

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a geometry of music: a study in counterpoint: https://www.amazon.com/gp/product/0195336674/ref=ox_sc_act_title_1?smid=ATVPDKIKX0DER&psc=1

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The geometry of rhythm

https://www.amazon.com/Geometry-Musical-Rhythm-Godfried-Toussaint/dp/1466512024/ref=sr_1_1?__mk_es_US=%C3%85M%C3%85%C5%BD%C3%95%C3%91&keywords=geometry+of+rhythm&qid=1563542715&s=books&sr=1-1

Here's a great book about the connections between geometry and rhythm: link