Magrathean diacritics

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volleo6144
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Re: Magrathean diacritics

Post by volleo6144 »

Dave Keenan wrote:
Mon Jun 22, 2020 8:39 pm
volleo6144 wrote:
Mon Jun 22, 2020 10:15 am
The "u" term heavily penalizes commas with many primes on one side but only one or two, or zero, on the other, such as our yellow 2 [5831:5832], 4 [3024:3025], and 5 [2400:2401] tinas.
So "u" is the only thing differentiating 7/5 from 35 etc, but not very well. I'd like to understand why "t" isn't doing that. But maybe if you take the log of "u" it will work even better.
No, "t" is doing that, but in a different way: 77:125 (for example) is (18-15)/20 = 0.15 for t and (125-77)/200 = 0.24 for u. It's just that t does this to a greater extent (because of its higher scaling of 5 per 100 instead of 5 per 1000) for the typical case of distinguishing 5:7 from 1:35, while u heavily penalizes things with a lot of primes on one side (49:9765625n for the half-tina is immediately out because its u value is over 40,000, while its t value is a more tolerable 1.8).

And then we have the issue of how to prevent Pythagorean schisminas like [-1054 665> (665edo3n, which has a respectably low error of 0.037806 tinas from the half-tina) from being all the primary commas for all the tinas.
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Re: Magrathean diacritics

Post by cmloegcmluin »

I have spun out the subtopic about the comma complexity metric into its own topic here: viewtopic.php?f=4&t=493

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Re: Magrathean diacritics

Post by cmloegcmluin »

Re: the tina smileys, I do plan to add those to the forum eventually. I have added Sagittal smileys before so I know how. Would it be helpful to have them sooner than later? I think our discussion at the moment is not being hindered dramatically by lacking them.

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volleo6144
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Re: Magrathean diacritics

Post by volleo6144 »

cmloegcmluin wrote:
Tue Jun 23, 2020 6:04 am
Re: the tina smileys, I do plan to add those to the forum eventually. I have added Sagittal smileys before so I know how. Would it be helpful to have them sooner than later? I think our discussion at the moment is not being hindered dramatically by lacking them.
See, I believe that is in fact the case, but it's just ... nice to have. I certainly wasn't here for when the :`:, :``:, :,:, and :,,: smilies were added in November of 2016 (as indicated by some caching-related response headers), so I don't know exactly when in the discussion of Olympian they were added, and wouldn't know when that would be in the Magrathean discussion.
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