User:Eufalesio/EDO impressions: Difference between revisions
more |
more things |
||
| Line 1: | Line 1: | ||
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, | 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, the least amount of pitch classes, and the most conceptualization ease. | ||
I thus value edos that have a manageable grain, approximate a lot of stuff, and allow easy chain-of-fifths frameworks; 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. I ''can't'' not have a fifth, and it can't be badly out of tune. If there is no diatonic, it's useless to me. | |||
I'm not a strict octave purist; I tolerate tempering the octave to achieve a better harmonic palette, and often do so to achieve higher consistency or better intonation, sacrificing a tiny bit of error on the octave to approximate all the harmonics I care about better. I don't mind having the subharmonics being worsely tuned, as they are not mirror images of harmonics, they are their own thing. | |||
== EDOS I have things to talk about (and it's good) == | == EDOS I have things to talk about (and it's good) == | ||
| Line 47: | Line 51: | ||
=== 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. The meantone chain of fifths already hits its apex with 31edo. | 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 very 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 finer edos in this range, meantone ceases to do it for me, but I respect this one. C- | |||
=== 62edo === | |||
Keeps all the 11-limit goodness from 31edo and greatly improves on primes from 13 and beyond. It can be used all the way to the 23-limit, with monotonic error. Interesting, but approaching higher limits from a meantone framework is dumb. Like 50edo, I still give it my respect, but mainly because it's a multiple of 31edo. C- | |||
=== 53edo === | === 53edo === | ||
| Line 81: | Line 88: | ||
=== 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, and the difference between edosteps becomes harder to reliably hear. 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. | ||
Apart from that, 217edo's 2.3.5.7.11.13.19 mappings can be easily converted to 270edo or 311edo if need be, S+ | |||
=== 224edo === | === 224edo === | ||
A cousin to 217edo which is still schismic, dare I say the ultimate schismic edo, though still harder to conceptualize. Theory tells me that the 13-limit is extremely accurate, even more than the 217edo, and for that I think it | A cousin to 217edo which is still schismic, dare I say the ultimate schismic edo, though still harder to conceptualize. Theory tells me that the 13-limit is extremely accurate, even more than the 217edo, and for that I think it deserves praise. But 217edo is smaller and its mappings can be easily expanded to more accurate edos. B+ | ||
=== 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 gamut in the same subgroup becomes hard to justify | 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 === | ||
| Line 99: | Line 108: | ||
=== 8539edo === | === 8539edo === | ||
This level of fineness is at the bleeding edge of insanity. The precision of this behemoth is | This level of fineness is at the bleeding edge of insanity. The precision of this behemoth is unfathomable. 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 have things to talk about (and it's bad) == | == EDOS I have things to talk about (and it's bad) == | ||
| Line 128: | Line 137: | ||
== EDOS I don't have much to talk about == | == EDOS I don't have much to talk about == | ||
I'm just going to say they are useless because | I'm just going to say they are useless because they have horribly tuned fifths. {{EDOs|8,11,13,14,18,20,21,23,25,30,35,40,42,45,47}}. FFF | ||
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. | ||