User:Fitzgerald Lee/EDO Rankings: Difference between revisions

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!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||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||||[[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.

|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.

|-

|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||||[[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.

|-

|2||Edos that are sidegrades or alternatives to the edos listed above that I don't consider to be good enough to be the best. They're still pretty good though.||[[6edo|6]]||

|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]]||

|-

|2||||[[8edo|8]]||

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|-

|2||||[[16edo|16]]||

|-

|2||||[[17edo|17]]||

|-

|2||||[[18edo|18]]||

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|-

|2||||[[31edo|31]]||

|-

|2||||[[46edo|46]]||

|}

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 !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||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||||[[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.
+|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.
 |-
 |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.
@@ Line 17: / Line 17: @@
 |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.
 |-
-|2||Edos that are sidegrades or alternatives to the edos listed above that I don't consider to be good enough to be the best. They're still pretty good though.||[[6edo|6]]||
+|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]]||
 |-
 |2||||[[8edo|8]]||
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 |-
 |2||||[[16edo|16]]||
+|-
+|2||||[[17edo|17]]||
 |-
 |2||||[[18edo|18]]||
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 |-
 |2||||[[31edo|31]]||
+|-
+|2||||[[46edo|46]]||
 |}