Talk:Consistency: Difference between revisions

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:: I don't see what would be bad about leaving redirects when renaming. This way users who have the pages saved in their bookmarks can find them even after a rename. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 23:32, 20 January 2021 (UTC)

== On the definition of consistency to distance d ==

I really like the concept and it's something I was thinking about before in my theoretical investigations into the approximative capabilities of EDOs of interest to me. However, I don't understand why the definition of consistency to distance d isn't just the maximum step error of all intervals being less than 1/(2d), because this would allow picking a multiset of any d intervals within a chord and multiplying them together and having the result be consistent, including picking one interval d times. I strongly suggest this alternative definition for the sake of simplicity, intuitiveness and ease of understanding.<br/>

(It also means "consistency to distance 1/2" can be seen as guaranteeing - at worst - a second-best mapping of an interval, and that consistency to distance k as k approaches 0 implies infinite inconsistency, thus representing ever-weaker consistency, and ultimately, no consistency, as you can't move anywhere without being inconsistent, AKA you ''can'' move 0 distance while ''being'' consistent.)

--[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 04:20, 22 January 2021 (UTC)

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 :: I don't see what would be bad about leaving redirects when renaming. This way users who have the pages saved in their bookmarks can find them even after a rename. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 23:32, 20 January 2021 (UTC)
+== On the definition of consistency to distance d ==
+I really like the concept and it's something I was thinking about before in my theoretical investigations into the approximative capabilities of EDOs of interest to me. However, I don't understand why the definition of consistency to distance d isn't just the maximum step error of all intervals being less than 1/(2d), because this would allow picking a multiset of any d intervals within a chord and multiplying them together and having the result be consistent, including picking one interval d times. I strongly suggest this alternative definition for the sake of simplicity, intuitiveness and ease of understanding.<br/>
+(It also means "consistency to distance 1/2" can be seen as guaranteeing - at worst - a second-best mapping of an interval, and that consistency to distance k as k approaches 0 implies infinite inconsistency, thus representing ever-weaker consistency, and ultimately, no consistency, as you can't move anywhere without being inconsistent, AKA you ''can'' move 0 distance while ''being'' consistent.)
+--[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 04:20, 22 January 2021 (UTC)