User:Fitzgerald Lee/EDO Rankings
Edos are not organised by preference within each tier, just ascending.
| Tier | Tier description | Edo | Explanation |
|---|---|---|---|
| 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. | 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 arto and tendo thirds acting as approximations of 7/6 and 9/7. |
| 1 | 15 | The edo I consider to first be usable in the 7-odd-limit, as it is the first edo to both be 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 | 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. | |
| 1 | 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. | |
| 1 | 29 | The first edo to be consistent in the 15-odd-limit and have three pairs of consistent thirds (arto/tendo, neominor/neomajor and 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. | |
| 1 | 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. | |
| 1 | 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. | |
| 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. | 6 | |
| 2 | 8 | ||
| 2 | 9 | ||
| 2 | 10 | ||
| 2 | 12 | ||
| 2 | 16 | ||
| 2 | 17 | ||
| 2 | 18 | ||
| 2 | 21 | ||
| 2 | 26 | ||
| 2 | 27 | ||
| 2 | 31 | ||
| 2 | 46 |