User:Fitzgerald Lee/EDO Rankings: Difference between revisions

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Edos are not organised by preference within each tier, just ascending.
{|class="wikitable"
!rowspan="1"|Tier!!rowspan="1"|Tier description!!rowspan="1"|Edo!!rowspan="1"|Explanation
|-5-limit
|1||Edos I consider the best in their own areas and sizes. If someone dislikes one of them, I am ready to fight them with whatever I got.||[[5edo|5]]||The first xenharmonic edo, and it sounds really unique. A really good 2.3.7 system that's used in the edo below, though it doesn't have a good 5. It's also the first edo to have two distinct and consistent thirds, with its [[Extraclassical tonality|arto and tendo]] thirds acting as approximations of [[7/6]] and [[9/7]].
|-
|1||||[[15edo|15]]||The edo I consider to first be usable in the [[7-odd-limit]], as it is the first edo to both be [[consistency|consistent]] in that limit and distinguish all 3 thirds within it (7/6, [[6/5]], [[5/4]]). It comes with a usable 5-odd-limit, a pretty good [[4:5:6:7]] and very interesting structure. All in all, a pretty good tuning system for the 7-odd-limit, and especially for its size.
|-
|1||||[[19edo|19]]||Same case for 15edo but in the [[9-odd-limit]], as 19edo not only improves upon 15edo by getting a consistent 9/7, but also outshines it and even [[12edo]] in the [[5-odd-limit]]. However, in exchange, 19edo’s [[7-limit]] chords and intervals isn't as good as 15edo's in my opinion, since its [[7/4]] is ''really'' off compared to 15edo. Nevertheless, not only does it come with a handy notation, it also has loads of online resources for it, so it's very easy to pick up as a beginner.
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|1||||[[22edo|22]]||If you're looking at 19edo and want to exchange some 5-limit accuracy for some in the 7-limit, 22edo has got you covered. Its 7/4 is about as far as 5/4 is from 1\3 (400c), and its 5-limit is still better than 15edo's. It's in fact the second edo to represent the 9-odd-limit thirds distinctly and consistently, and takes it a step further by being the first edo to be consistent in the [[11-odd-limit]]. It's basically a direct upgrade from 15edo, having both [[nicetone]] and [[porcupine]] while also being consistent in odd-limits higher than 7.
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|1||||[[29edo|29]]||The first edo to be consistent in the [[15-odd-limit]] and have three pairs of consistent thirds (arto/tendo, [[Neogothic major and minor|neominor/neomajor]] and [[Submajor and supraminor|superminor/submajor]]). It's also a near-pyth edo, so the familiar 3-limit harmony from 12edo is also usable here. In my opinion, this edo is the perfect size for its consistency, though if you want more accuracy to [[just intonation]], then the edo below is perfect for that.
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|1||||[[41edo|41]]||Somewhat of a fan favourite within the xen community due to its wonderful JI approximation. It's used best in the 15-odd-limit, where it serves as a direct improvement to 29edo. Though its size might be too unwieldy or daunting, like 19edo, it also has many resources online for any to peruse.
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|1||||[[94edo|94]]||Due to its record high consistency limit, I use it to categorise intervals. Nothing else either close to its size or reasonably sized matches its consistency limit, so it's safe to stop here.
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|2||Edos that are sidegrades or alternatives to the edos listed above in Tier 1 that I don't consider to be good enough to be the best. They're still pretty good though.||[[6edo|6]]||
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|2||||[[8edo|8]]||
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|2||||[[9edo|9]]||
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|2||||[[10edo|10]]||
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|2||||[[12edo|12]]||
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|2||||[[16edo|16]]||
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|2||||[[17edo|17]]||
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|2||||[[18edo|18]]||
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|2||||[[21edo|21]]||
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|2||||[[26edo|26]]||
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|2||||[[27edo|27]]||
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|2||||[[31edo|31]]||
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|2||||[[46edo|46]]||
|}