Talk:Direct approximation: Difference between revisions

Aura (talk | contribs)
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Aura (talk | contribs)
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::: I should also mention that this is how I make retunings of other EDOs like in "[[:File:Space Tour.mp3|Space Tour]]".  Most of what I had to do for this is map the intervals comprising the steps of the smaller EDOs to the nearest step in 159edo, through there were times where I had to choose which mapping to use. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 15:39, 18 January 2021 (UTC)
::: I should also mention that this is how I make retunings of other EDOs like in "[[:File:Space Tour.mp3|Space Tour]]".  Most of what I had to do for this is map the intervals comprising the steps of the smaller EDOs to the nearest step in 159edo, through there were times where I had to choose which mapping to use. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 15:39, 18 January 2021 (UTC)


I notice that in Wolfram Alpha, 49/32 effectively has two separate mappings, the first, given by round(log2(49/32)*159), is 98 steps, while the second, given by {159, round(log2(3)*159), round(log2(5)*159), round(log2(7)*159)}.{-5, 0, 0, 2}, is 97 steps.  The first one is direct mapping, but what is the proper term for the second one, consistent mapping?  I think this article could be expanded by describing the relationship between these two different types of mappings. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:20, 18 January 2021 (UTC)
I notice that in Wolfram Alpha, 49/32 effectively has two separate mappings, the first, given by round(log2(49/32)*159), is 98 steps, while the second, given by {159, round(log2(3)*159), round(log2(5)*159), round(log2(7)*159)}.{-5, 0, 0, 2}, is 97 steps.  The first one is "direct mapping", but what is the proper term for the second one?  Is it "consistent mapping"?  I think this article could be expanded by describing the relationship between these two different types of mappings. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:20, 18 January 2021 (UTC)


== Plea for direct mapping ==
== Plea for direct mapping ==
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