## Search found 66 matches

Sat Jun 27, 2020 4:11 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 492
Views: 48863

### Re: developing a notational comma popularity metric

That thing has an SSL certificate that's expired by about a week... If you're not comfortable visiting that link, volleo6144... No, there really wasn't anything I was worried about, really; it's just that ... the site's admins probably haven't cared in a week, or they'd have ... done something. ---...
Fri Jun 26, 2020 11:24 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 492
Views: 48863

### Re: developing a notational comma popularity metric

I'm not sure I understand exactly what you mean: 1:343 abs(n - d) = 343 - 1 = 342 1:341 abs(n - d) = 341 - 1 = 340 1:343 abs(sopfr(n) - sopfr(d)) = 7 + 7 + 7 = 21 1:341 abs(sopfr(n) - sopfr(d)) = 11 + 31 = 42 It looks like abs(sopfr(n) - sopfr(d)) maybe does a better job, but I don't see a "he...
Fri Jun 26, 2020 11:57 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 492
Views: 48863

### Re: developing a notational comma popularity metric

Ah ha! I see now. The usage of . as a multiplication symbol is not intuitive to me. That thing has an SSL certificate that's expired by about a week... Also, coming from a pure math background, it might be helpful to note that various metrics often only use a number's square instead of its absolute...
Fri Jun 26, 2020 4:03 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 492
Views: 48863

### Re: developing a notational comma popularity metric

I feel like there's gotta be some pithier and clearer term for "they sort the same"... like, mutually monotonic? Anyway, that's a good observation re: 29:1 and 31:1's popularity order being switched (vis-à-vis their prime limit). That could mean either: b. the weight on primes may need to...
Thu Jun 25, 2020 4:20 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 492
Views: 48863

### Re: developing a notational comma popularity metric

It sounds like maybe you were thinking our candidate function would map a comma to a value that was meant to look just like the value of a rank, e.g. it might try to map 11:1 to something really close to 6 because 11:1 is the 6th most popular comma. That could work too, but it seems like an extra s...
Wed Jun 24, 2020 11:32 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 492
Views: 48863

### Re: developing a notational comma popularity metric

This didn't occur to me when I wrote the above, but I'm pretty sure that there would always be a number of 2's and 3's you could find which could get n-d down to 1, though it could be a huge number of them. Størmer's theorem effectively states that there are only finitely many superparticular inter...
Tue Jun 23, 2020 6:25 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 213
Views: 29016

### Re: Magrathean diacritics

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 c...
Tue Jun 23, 2020 12:24 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 213
Views: 29016

### Re: Magrathean diacritics

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 under...
Mon Jun 22, 2020 10:15 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 213
Views: 29016

### Re: Magrathean diacritics

I did this for the yellow tina candidates (the ones we've mostly agreed on): I notice the relatively large value 44.155 that the 13:77n got. This appears to be the result of 0.005(13640319 - 13631488). I should have been more explicit about what I meant by n and d: I didn't mean in the actual ratio...
Mon Jun 22, 2020 1:55 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 213
Views: 29016

### Re: Magrathean diacritics

It seems wrong to include your "u", as all the other terms are logarithmic, or kind of logarithmic, but "u" is linear. So relative to all the other terms, "u" is exponential. "u" is scaled to one prime 5 for every 1000 difference in the ratio (the 1:1001 &quo...