User:Eufalesio/EDO impressions
My main reason to use edos is to "buy" the entire gamut and be able to do JIoid stuff in it with the most accuracy, and the most conceptualization ease. It's easier for me to think in tempered commas. I care about the 5-limit, 7-limit, 2.3.5.13, 2.3.5.7.13, and 2.3.5.7.11.13.19(.29) JI subgroups, liking my error to be balanced across primes, but the error on 3 to be minimal.
EDOS I have much to talk about
12edo
It's easily one of the best edos. 12edo is many, many things all at once, and I would say that its place in mainstream music is well earned. It's the first edo that can deal with the 5-limit at all, and it also has an incredibly accurate fifth for its size, making it the only temperament that is both meantone and pythagorean at the same time... Super practical, and very easy to conceptualize. S
17edo
Despite being the next edo with a usable fifth, the fact that it tempers the interval whose edostep best approximates it is the ultimate irony. I like the slightly sharp fifths and neo-gothic feel, but the lack of 5-limit is a hole I can't easily live without, and no matter how good it is on other limits (and it is great), the lack of 5 is sad. C
19edo
The next most easily accessible edo, and one that offers a change in perspective. It is meantone just like 12edo, but it has a completely different sonic profile, due to the flatter 5-limit, which I find very enjoyable. The near just minor thirds are definitely something to remark, though not as discernible as it is in its supersets. Great stuff! A
22edo
While the change in perspective that 19edo offers is mixed with familiarity, 22edo is an entirely different beast. It features a very exaggerated non-meantone 5-limit, making it the ultimate porcupine, which is not a temperament known for its accuracy, but it's cool! The 7-limit structure inside the diatonic scale is something very sui generis, though it's 11-limit is kinda meh, but what can I say, it's the first edo to be consistent in the 11-odd-limit! C, not for accuracy, but for cool.
24edo
Entry-level xenharmonic edo. Impressive 2.3.5.11, but nothing much more to remark. We've all used it. It's trivial to build it. C
31edo
The best meantone edo. Manageable grain, incredible 11-limit. You can't get more juice out of meantone without diminishing returns. SS
41edo
The first usable schismic edo (29edo and 17edo don't count because their 5/4's are wack). Still manageable grain, and the non-meantoneness is definitely welcome. It is the first edo to introduce a comma accidental framework, which in my opinion is one of the best frameworks for composition. The 11-limit is marvelous (pun intended) but the 13-limit is... lacking. Still, even if the 5-limit is not that accurate, since the innacuracy is flatwards, I think it's much more enjoyable, as I like wide minor thirds. Also supports Bohlen Pierce, which is also incredibly cool. AC, not for air conditioner, but for accuracy and cool.
46edo
The best diaschismic. 13-limit stuff, though a bit sharp and not as accurate as 41-edo, it is good. I haven't composed anything with it, however, as I think diaschismic is kinda hard to conceptualize. C
53edo
Pythagorean tuning incarnate, and astounding 5-limit. 2.3.5.13.19 is especially potent, but the .7.23 is still very much usable, even the .11! I feel bad for the rest of the near this one, because this trumps a lot of the competition. But what can I say? Suck it losers! SS
72edo
The first compton edo that achieves any semblance of JIoid goodness. It has an astounding 11-limit, and decent 19-limit! It's also a multiple of 12, so building it is trivial! It's a miracle (pun intended)! SS
94edo
GOAT. The combination of the two smallest schismic edos, which are both incredibly solid choices, into one neatly rounded package that is very optimized. I am heavily biased towards this, as it represents the ultimate cassandra, and a chain-of-fifths framework that I find extremely easy to work with. Naturals for prime 3 or 19. ±1 for 17 or 23. ∓2 for 5 or 7. ±4 for 11 or 13. Throughout many different peer-reviewed experiments and in many on my compositions, I've found that this edo is good enough for most xen purposes. Still a tiny smidge innacurate in the 5-limit, but since it is flat and not sharp, I find it much more palatable, as I like wide minor thirds. I really only use it for the 2.3.5.7.11.13.19, but the 23-limit goodness is no joke. SSS
130edo
I haven't composed in it, but theory screams to me that this edo is a beast. It has an extremely accurate 13-limit, and a schismic framework? Count me in! S
159edo
Aura's favorite tuning. He does have a point, it takes an extremely good edo, and tripling it makes it even better! 29-limit goodness! I don't care as much for the insanely accurate 2.3.11, as I care for the entirety of the 2.3.5.7.11.13.19(.29). It really is that good. I've composed stuff with it, and it isn't as easy to do as in other edos, but the result is still worth it. SS
171edo
I haven't composed in it directly, but since I did compose in 7-limit JI, it'd sound the same. It features a dead-accurate 7-limit that I cannot distinguish from just. It's that good. The great innacuracy of the 11 is a bit sad, though it still has a usable 13, which has that going for it. S
217edo
It's the septuple of 31edo, and that is nothing less than a miracle (though it doesn't support miracle). I've done some tests on it, and it's 31-limit is incredible. It introduces an unfamiliar and slightly tedious gari-vulture-esque framework in which you have to use schisma-function steps apart from pythcommas, but apart from that, it's still within the realms of manageability. Also, it has an incredible 2.3.5.13, which I really respect. SS
224edo
A cousin to 217edo, which is still schismic, though still harder to conceptualize. Theory tells me that the 13-limit is extremely accurate, even more than the 217edo. But 217edo is smaller, and it contains 31edo, so... I think I'll stick with the other one. B
270edo
Ultimate low complexity JIoid edo. Though a tad large now, consistency within its optimized subgroup is insane. This trumps a lot of the competition. SSS
311edo
Ultimate ultra-high-limit JI. Absolute error is a smidge worse than 270edo, but it makes up by being consistent to the goddamn 41-odd-limit. Serendipity personified. SSS
1600edo
Now we've gone far tooo big. But... you know... 43-odd-limit... ah... round number... ah! It tickles special parts of my brain, even if it's not really practical to use it. I don't really know why I like it, I'm probably not going to use anything above the 29-limit... but what if...? B
2460edo
The only reason I've put this one here is because it is a 12n edo, and that makes it slightly easier to work with, and very transposing friendly. It's astonishingly accurate, though dividing the semitone into 205ths is reasonably excessive. C
8539edo
This level of fineness is at the bleeding edge of insanity. The precision of this behemoth is astounding. I firmly believe no sane person would compose anything requiring a tuning precision higher than what this offers. And I'm one to oogle at impossibly gargantuan edos, I'll admit, but that oogling is only theoretical. Beyond here... there be monsters... and hot sauce. C
EDOS I don't have much to talk about
I'm just going to sort them all into wastebaskets.