User:Eufalesio/EDO impressions: Difference between revisions
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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. | 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. I thus value edos that have a manageable grain, approximate a lot of stuff, 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 things to talk about (and it's good) == | == EDOS I have things to talk about (and it's good) == | ||
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=== 22edo === | === 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! | 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! It also supports magic, featuring a flatter 5, which I enjoy, though the incredibly sharp 6/5 is a tad excessive. | ||
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''. | 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 === | === 24edo === | ||
Entry-level xenharmonic edo. | Entry-level xenharmonic edo. A huge improvement to the 2.3.5.11, but nothing much more to remark. Probably the most common xenharmonic edo among non xen spaces, and for good reason. We've all used it. It's trivial to build it. | ||
Still, some ensembles fail at playing quartertones accurately (singers are the worst, some can even fail to sing 12edo accurately, which is a feat...) C | |||
=== 31edo === | === 31edo === | ||
The best meantone edo. Manageable grain, incredible 11-limit. You can't get more juice out of meantone without diminishing returns. SSS | The best meantone edo. Manageable grain, incredible 11-limit. You can't get more juice out of meantone without diminishing returns. From this point on, it becomes hard to justify using a finer meantone gamut. SSS | ||
=== 41edo === | === 41edo === | ||
The first usable schismic edo (29edo and 17edo don't count because their 5/4's are wack). Still manageable grain, hyperaccurate fifths 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. | The first usable schismic edo (29edo and 17edo don't count because their 5/4's are wack). Still manageable grain, hyperaccurate fifths 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. However, since it tempers so many things together, it is extremely useful. | ||
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''. | 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 === | === 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. B | 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, and the sharpness of the 5 is something that I find less desirable. B | ||
=== 50edo === | === 50edo === | ||
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=== 53edo === | === 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 | 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! It doesn't temper as many things together as 41edo, so it feels like a less compromised system, still, I feel bad for the rest of the edos near this one, because this trumps a lot of the competition. But what can I say? Suck it losers! SS | ||
=== 72edo === | === 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 | The first compton edo that achieves any semblance of JIoid goodness. This was one of the first finer edos I've composed in. It has an astounding 11-limit, and decent 19-limit! It's also a multiple of 12, so it is very transposing-friendly and building it is trivial! It's a miracle, and it also supports it! SSS | ||
=== 84edo === | |||
I haven't composed anything in it, but theory tells me that it's a really good compton edo. The bad tuning of the 11 is a bit sad, but it can be useful all the way up to the 31-limit. The 2.3.5.7.13 here is instead a great subgroup, which is a good selling point for me. Had I known about it, I could have probably used this instead of 72edo, but I'm now not that interested in compton anymore. A | |||
=== 94edo === | === 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. | 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. It also tempers a lot of things together, much like 41edo, | ||
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 | 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 === | === 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 | I haven't composed in it, but theory screams to me that this edo is a beast. I like to think of it as 65edo, but good. It has an extremely accurate 13-limit, and a schismic chain-of-fifths framework? Count me in! S | ||
=== 159edo === | === 159edo === | ||
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=== 217edo === | === 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. Also important to remark, from this point onward, edos start to sound more or less the same, as the absolute error gets lower and lower. S | 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. Also important to remark, from this point onward, edos start to sound more or less the same, as the absolute error gets lower and lower, and the difference between edosteps becomes harder to reliably hear. S | ||
=== 224edo === | === 224edo === | ||
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=== 270edo === | === 270edo === | ||
Ultimate low complexity JIoid edo. Though a tad large now, consistency within its 2.3.5.7.11.13.19 is insane. This trumps a lot of the competition. Using a finer | Ultimate low complexity JIoid edo. Though a tad large now, consistency within its 2.3.5.7.11.13.19 is insane. This trumps a lot of the competition. Using a finer gamut in the same subgroup becomes hard to justify. SSS | ||
=== 311edo === | === 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 | 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. Very hard to justify using anything else other than this, as the difference between edosteps from this point on is definitely nigh impossible to hear. I see it as an ultimate tuning of sorts for practicality's sake. SSS | ||
=== 1600edo === | === 1600edo === | ||
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=== 2460edo === | === 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 | 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 === | === 8539edo === | ||
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=== 2,3,4,6edo === | === 2,3,4,6edo === | ||
Only ever good as subsets of other edos such as 12edo. | Only ever good as subsets of other edos such as 12edo. Basically just compton. Anywhere else, they stand out, and not positively, though 3edo has a surprisingly accurate 5. D | ||
=== 29edo === | === 29edo === | ||
It's the next edo which has a fifth that's better than 12edo's... and that's it? It's worse everywhere else! By itself, it's really only a slightly | It's the next edo which has a fifth that's better than 12edo's... and that's it? It's worse everywhere else! By itself, it's really only a slightly worse Pythagorean tuning, which to me is a bad selling point. The supersets 58 and 87 are decent, but I think there are better alternatives. D | ||
== EDOS I don't have much to talk about == | == EDOS I don't have much to talk about == | ||