User:Eufalesio/EDO impressions: Difference between revisions
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=== 31edo === | === 31edo === | ||
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 | 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 === | ||
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=== 50edo === | === 50edo === | ||
Still a good meantone edo, and though it is a much better approximant for golden meantone, I prefer using golden meantone as a rank-2, and not buying the entire gamut. The 19-limit usability is surprising, still. However, having all those new intervals inside a meantone edo feels in my opinion strangely unnatural, as we're stretching the meantone chain-of-fifths beyond what's supposed to. | Still a good meantone edo, and though it is a much better approximant for golden meantone, I prefer using golden meantone as a rank-2, and not buying the entire gamut. The 19-limit usability is surprising, still. However, having all those new intervals inside a meantone edo feels in my opinion strangely unnatural, as we're stretching the meantone chain-of-fifths beyond what's supposed to. The meantone chain of fifths already hits its apex with 31edo. | ||
For | For finer edos in this range, meantone ceases to do it for me, but I respect it. C | ||
=== 53edo === | === 53edo === | ||
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=== 72edo === | === 72edo === | ||
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 | 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 | ||
=== 80edo === | |||
Ultimate diaschismic. Extremely surprising that this "coarse" edo can be used all the way up to the 29-odd-limit. I ran some tests on it once, and while the monotone approximations are definitely interesting, the diaschismic framework is not one I'm too comfortable with, and its approximations are a tad sharp, requiring octave compression for a better otonal result. Despite that, I can recognize and appreciate the power of this edo. A | |||
=== 84edo === | === 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 | 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 | ||
=== 87edo === | |||
Theory says that it is a really strong 13-limit edo. So much so, that it is the first edo with distinct consistency and pure consistency in the 13-odd-limit, and normal consistency in the 15-odd-limit, and for that, I give it my respects. However, I like my fifths to have minimal error, and being a subset of 29edo, the fifths are good, but not as good. C | |||
=== 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. It also tempers a lot of things together, much like 41edo, | 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 | ||
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=== 159edo === | === 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) | 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), on which it is worse than other alternatives, as primes 7 and 13 are relatively innacurate. I've composed stuff with it, and it isn't as easy to do as in other edos, but the result is still decent. SS | ||
=== 171edo === | === 171edo === | ||
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=== 0edo === | === 0edo === | ||
Rhythm personified. As an edo, it is horrible. There is nothing. Everything is tempered out. To an extent, it not only is useless, it's also ontologically terrifying. ''The end of pitch''. However, going back to the real world, this is just glorified rhythm, and so useless from a tuning standpoint. | Rhythm personified. As an edo, it is horrible. There is nothing. Everything is tempered out. To an extent, it not only is useless, it's also ontologically terrifying. ''The end of pitch''. However, going back to the real world, this is just glorified rhythm, and so useless from a tuning standpoint. FF | ||
=== 1edo === | === 1edo === | ||
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=== 2,3,4,6edo === | === 2,3,4,6edo === | ||
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 | 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 | ||
=== 26edo === | |||
I respect that this edo can moderately deal with the 13-limit, as it is the smallest edo that is consistent in such. However, its 5-limit is too out of wack for my taste. Interesting, simplifies the 13-limit a lot, potentially useful to those who are interested in meantone, but this is a very extreme meantone. 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 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 | 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 | ||
=== 43edo === | |||
This meantone edo may have a seemingly good val to approximate higher limits, but doing so from a meantone framework is dumb. Apart from that, the lower limits, ones that I hold to high standards, are worsely tuned than in 31edo. In my opinion, the best meantones are the golden meantones, and from 31edo on, the peak has already been reached. D | |||
=== 81, 131... very fine edos that support golden meantone === | |||
81edo is already the absolute maximum for golden meantone, as anything finer and the patent val fifth stops supporting it. If 50edo was already a bit too much, 81edo and beyond are definitely too much. At that point, it's better to not buy the entire gamut and just use rank-2 golden meantone. D | |||
=== 55edo and other fine very sharp meantone edos === | |||
Just use 12edo. That's about the sharpest meantone you can use! FF | |||
== EDOS I don't have much to talk about == | == EDOS I don't have much to talk about == | ||
I'm just going to | I'm just going to say they are useless because they have very relatively poor low prime JI approximations. {{EDOs|8,11,13,14,18,20,21,23,25,30,35,40,42,45,47}}. FF | ||
If an edo is not anywhere in this article is because I believe there are better options, or that I haven't even thought about it. | If an edo is not anywhere in this article is because I believe there are better options, or that I haven't even thought about it. | ||