Reddit reviews A Theory of Harmony (SUNY Series in Cultural Perspectives)

It's a neologism for harmonic dualism, which already has enough dumb terminology and half-baked woo woo concepts without Mr. Collier's contributions. Jacob cites Ernst Levy's A Theory of Harmony (1985), but Hugo Riemann built his entire theory of harmony around inversion in the 19th century. He tried to use it to justify the minor triad as a consonance, claiming that there was some fantastic thing called an "undertone series" that complemented the overtone series. There is a long history of music theorists and mathematicians fetishizing the harmonic series, but these days that sort of thing is the preserve of crackpots and temperament specialists.

Inversion, of course, is an important procedure in the motivic language of western music. In set theory (which developed in the middle of the last century, most notably with Allen Forte), inversion (and, necessarily, transposition) is generalized. You get derived rows in twelve-tone music by applying inversion and retrograde operations upon a set, for example. It's reasonable in that context because the inversional property is palpable in that music. Undertone series need not apply.

I was thinking advanced jazz. I'm a theory and jazz keys major at unt and I'm trying to surpass my curriculum. Like I've already read this book and made sense and put it into practice. But i want not obscure scales to play with the super funky chords I'm using

https://www.amazon.com/dp/0873959922/ref=cm_sw_r_cp_apa_i_uaNkDbY7SWESB

Personally, I've always thought of music and mathematics as being interrelated. Of course, the two can be completely distinct, but if you're looking to teach, you'll need to be somewhat oracular - and that will cover the more arcane aspects of music theory (which can be quite mathematical; similar to set/group theory and combinatorics).

It's worth looking into some advanced music theory to ensure that you don't balk away from it as you have done CS.

https://www.amazon.co.uk/Theory-Harmony-SUNY-Cultural-Perspectives/dp/0873959922/ref=pd_bxgy_14_img_3?_encoding=UTF8&psc=1&refRID=FF5ZKSDSY5A7N7210870

Have a 'Look Inside' this.