Talk:31edo: Difference between revisions

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= Patent val error vs direct approximation error =
= Patent val error vs direct approximation error =


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:I think the patent val error should be primary. In an inconsistent chord, you can't have all three intervals the closest interval, while the patent val provides an unambiguous solution. Patent val is important for stuff like commas or [[35edo]]'s interpretation of 3. Search "Selected just intervals by error" in this wiki for more edo articles with such a table (all of which I edited to patent val error) and see https://scratch.mit.edu/projects/247892491/ for the project I used to generate the table, which always gives the patent val error. [[User:PiotrGrochowski|PiotrGrochowski]] ([[User talk:PiotrGrochowski|talk]]) 18:00, 22 September 2018 (UTC)
:I think the patent val error should be primary. In an inconsistent chord, you can't have all three intervals the closest interval, while the patent val provides an unambiguous solution. Patent val is important for stuff like commas or [[35edo]]'s interpretation of 3. Search "Selected just intervals by error" in this wiki for more edo articles with such a table (all of which I edited to patent val error) and see https://scratch.mit.edu/projects/247892491/ for the project I used to generate the table, which always gives the patent val error. [[User:PiotrGrochowski|PiotrGrochowski]] ([[User talk:PiotrGrochowski|talk]]) 18:00, 22 September 2018 (UTC)
:By the way, 29edo and 41edo are consistent in 15-odd-limit, so the two table types are the same. [[User:PiotrGrochowski|PiotrGrochowski]] ([[User talk:PiotrGrochowski|talk]]) 18:13, 22 September 2018 (UTC)
:By the way, 29edo and 41edo are consistent in 15-odd-limit, so the two table types are the same. [[User:PiotrGrochowski|PiotrGrochowski]] ([[User talk:PiotrGrochowski|talk]]) 18:13, 22 September 2018 (UTC)
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== Intervals by error ==
Why is 8/7 included, but not 7/4, which is probably more prominent? (the error is exactly the same size)
- '''xenwolf''' March 11, 2015, 02:35:57 AM UTC-0700
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Indeed 7/4 is essential in this tuning
- '''circular''' April 29, 2015, 11:35:07 AM UTC-0700
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I'd resolve this "problem" by adding all the complementary intervals in the first column...
- '''xenwolf''' April 30, 2015, 04:40:49 AM UTC-0700
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Did it, the errors I turned into absolute ones. BTW: two intervals seem irrelevant (not really useful) in 31edo, since the error is more than half a step in 31edo.
- '''xenwolf''' April 30, 2015, 05:34:55 AM UTC-0700
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