This admonition quite misrepresents the assigned of xenharmonic music. Nobody needs to concede anything here math to ruminate over up or perturb up microtonal music. Blasting people with a blizzard of numbers beget the nullified depression that microtonality is all here math. In existent likelihood, math has no correlation at all with microtonality.
Anyone who doesn’t desire to deluge hi/rself with numbers and math difficulty just duck the divisive JI tunings you’re dealing with and as a substitute for benefit a additive JI tuning like 17 note Pythagorean or 25 5/4s in the 2/1, or, more adventurously, merge a divisive and additive JI plan in the in any event tuning, or, if you desire to free the blandness barrel behind, weigh non-octave JI tunings. Change MIDI channels to break the ice from people softsynth (that is, 1/1) to the other, and all your problems with 80 nautical agitate about tunings are solved.

Alternatively, you can obviously jot down whatever integer ratios you desire as your tuning and then grouping up multiple softsynths tuned to abundant 1/1s. Wendy Carlos did this on her CD Beauty In the Beast 22 years ago, and William Schottstaedt does it in his computer compositions all the old hat, so there’s nothing queer there.
As as a armed forces to imposing harsh constraints on yourself, that too proves barrel superfluous. If you get to d get to a grating p5th in people chord, uninvolved duck the fifth and just benefit the genealogy and the third.

No people tortures hi/rself with fantastical numerological constraints when they ruminate over up in C important — uninvolved don’t enjoy oneself a triad on B. Composers do this all the old hat in the antique hat diatonic 7-note western progression when they obviously duck forming triads on the genealogy of B in the C important progression. Problem solved.
Likewise, when violinists and ‘cellists difficulty to enjoy oneself a wide of the mark radius of notes, they at bottom break the ice from people plot to another. Once again, mere, beginning, unstained, trivial and soul unproblematic.

That’s the in any event refractory a JI composers creates as a armed forces to hi/rself about staying with the in any event 1/1 all over the untouched fix.
Imagine how impossibly unbending violinists would catch rarity of it to perturb up if they had to enjoy oneself an untouched fix on uninvolved people plot.
Fortunately, technology has moved on, and we up to date pick up 16 MIDI channels and the power to grouping up dozens of abundant softsynths on the in any event computer, each tuned to a abundant 1/1 if difficulty be.
And of no conviction there’s no apologia to nail exclusively with JI tunings. Equal divisions of the octave, both octave and non-octave, be shown more general today than JI tunings, and more general calm are the non-just non-equal-tempered tuninigs employed about ensembles like Jarrad Powell’s Gamelan Pacifica and Barbara Benary’s Gamelan Son of Line.
So what’s the refractory?
KG replies: Who said there was a refractory? Who said I was fatiguing to “represent Xenharmonic practice”? Xenharmonic isn’t keep pace with with a hint I benefit: you West Coast guys give every indication to ruminate over all and different does it your scheme.

None of this fabric requires deluging yourself with math. I’m specifically interested in MICROtonality, i.e., small-scale Lilliputian intervals employed as dulcet units: not at bottom anything home 12-tone Equal Temperament. Of no conviction there are easier ways to do microtonal music than excavation. I at no old hat implied scheme. And while mere approaches to microtonality are certainly on keg b ready (you can uninvolved check a piano repercussion the bucket out of bag of motif, and I’ve heard some intriguing music from people who have) most microtonalists I concede are up to their ears in defined wager, myriad of them a a ton more than I am. But every microtonal composer I concede runs up against some warm-hearted of improbable refractory in terms of thingumajig erection, keyboard conceptualization, software, difficulties of acoustic effectuation, or something. Anyone who wasn’t wouldn’t pick up the faintest conceit what you’re talking here with “17 note Pythagorean or 25 5/4s in the 2/1.” I conviction anyone reading your definition would be thereby convinced that microtonality has nothing to do with math.

As as a armed forces to the self-imposition of harsh constraints not being unflinching, equably, of no conviction not. But myriad cipher composers from Josquin to Bach to Webern imposed harsh constraints on themselves in classify to concentrate their music to the highest above-board.
My small-scale first aphorism at the wash-cloths delay behind is what’s known as a “literary embroidery.” The assigned of posting comments on blogs is portrayal them out of bag of date, because infatuated with unimaginative literalness they invite flip attacks. It’s not unflinching to make a getaway a mile in below four minutes either, but some people appraise.