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7:01 PM
Since music.stackexchange.com/questions/135769/… will likely get closed, here are a few potential resources for certain aspects of microtonality: Xenharmonic Wiki, Xenharmonikon (Old issues: Xenharmonikôn ).
 
7:12 PM
(ATTN: alistato) On Microtonality: I'm not aware of any grand theory of microtonality, or even a common language; rather, a there are a variety of techniques for making use of it.
In the context of Western Art Music (i.e., Classical music), there are a number of music theory journals that publish articles on microtonality. Perspectives of New Music recently published an article I found interesting, "The Microtonal String Orchestra", by Dylan Crismani. The article discusses a method for tuning an orchestra for microtonal music as well as a method for tuning a piano to facilitate composing for such an orgestra.
Perspectives of New Music has a long history of publishing on microtonality. In 1991 (volume 29, nos. 1 and 2), they published a "Forum" on microtonality that is considered something of a landmark. Other journals include Journal of Music Theory and Music Theory Spectrum. And these journals will also suggest particular authors to search for. Robert Hasegawa, for example, is a name that pops up frequently.
Outside of Western music, there are a large variety of "microtonal" tuning systems used in various music cultures around the world. Studies on these could be found in ethnomusicology journals or journals devoted to particular cultures.
Finally, here's a Reddit thread that lists a variety of books on microtonality as starting points in learning about it: reddit.com/r/microtonal/comments/g352t3/…
 

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