Techniques of Polytempic Polymicrotonal Composition

  Compression of Harmon y in Polymicrotonality One technique regarding the gradual compression of micro-intervallic structures in the microchromatic line is shown below, in Figure 3, from my String Quartet 12 , Big Bad Mother Fucker From Outer Space, 2019.  Figure 1. Tuning Legend from String Quartet #12 String Quartet 12 is explicitly polymicrotonal , with microtonal systems in full, except for the last one. We start with 20tet at 60 cents, 22tet at 54.5 cents, quartertones at 50 cents, and lastly, 18 of the 26tet gamut , at 46.15 cents. Since a starting pitch needs to be chosen for further divisions of the octave of a pitch class set , and inclusive of all other pitch classes within that octave, and for all microtonal systems within the given octaves of each system, I chose C as "1/1" as indicating the "untouched," pure beginning pitch. In this case, the pitch C is from 12tet and is 261.6 Hz. Any pitch class can be used, including a starting pitch up the over...

  5000 Microtonal Scales Myriad intervals from a plethora of microtonal scales . Considering the wealth of information about this on the internet, this will oddly be my shortest blog entry. As I write these, I am trying not to recreate my own book, Polytempic Polymicrotonal Music , or start another survey of sorts. I would rather just get down to it, but I have to consider whether things are extraneous or redundant.  Ultimately, we are still at the precipice of the eternal argument between Pythagoras and Aristoxenus . Will we use rational unequal tunings , or equal divisions with or without octave equivalence into infinity? Answer: BOTH. I prefer to forget the position of either/or in consideration of a stance that embraces both of these paradigms. So, with precision and concision, I will adroitly say this:  There are choices to be made in polymicrotonal composition (you may use dice for this decision). If we consider the historical, theoretical, and cultural microton...