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by Dave Keenan
Sat Sep 05, 2020 12:58 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

Here's a thort. We can list more than one comma against a tina in the SMuFL doc. See the first few Athenian entries here: https://w3c.github.io/smufl/gitbook/tables/athenian-sagittal-extension-medium-precision-accidentals.html This might be the way forward for hard-to-decide cases like 2 tinas and 0...
by Dave Keenan
Fri Sep 04, 2020 11:40 pm
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

I've been meaning to point out for some time that the best notating comma for the 1/1 class is not [ -19 12 ⟩, but [ 0 ⟩ or no comma at all. And the symbol for the 1/1 class is not :|: but :h: or no symbol at all. I note that :|: (a bare shaft) is not a symbol. 319/7n 5104/5103 [ 4 -6 0 -1 1 0 0 0 0...
by Dave Keenan
Fri Sep 04, 2020 3:45 pm
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

Yeah. Maybe it would have been better if I'd written "LATÉ". But I'm impressed you got it anyway. :)

Thanks for those tina defs. The only worrying one is 2 tinas. I look forward to the monzo for that. I don't understand why we haven't seen it before.
by Dave Keenan
Fri Sep 04, 2020 12:59 pm
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

I don't understand how the above command can guarantee to find the LATE-comma with the lowest N2D3P9. It doesn't even tell you which of the commas it outputs are LATE commas, unless I'm missing something. I don't see how you can be confident unless you generate LATE commas for all 2,3-equivalence-cl...
by Dave Keenan
Fri Sep 04, 2020 12:44 pm
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

[Written before reading your previous:] Yikes! The worst one is the metacomma for 1 tina. It has N2D3P9 = 1258.083.
by Dave Keenan
Fri Sep 04, 2020 12:32 pm
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

Brevity can be good. :) That's awesome! Thanks. It's particularly good to have 7 tinas nailed down. If you calculate the N2D3P9 of the (2,3-free ratios notated by the) remaining metacommas on my list, and take the maximum, that's an upper bound on how high you will need to go in N2D3P9 to get all th...
by Dave Keenan
Fri Sep 04, 2020 11:48 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

I hope you didn't miss my latest, because it was submitted seconds before your latest. I've made enough internal interval matrices in my day to have recognized at least that part myself (and also the feeling of not bothering to clean it up. They have a perfect word for that in Japanese: めんどくさい). :) ...
by Dave Keenan
Fri Sep 04, 2020 11:11 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

LASS-based first metacommas: 1 tina as 121:1225n = 121:49·25n 2 tinas as 29:275n = 29:25·11 3 tinas as 455n = 35·13n 4 tinas as 7:3025n = 7:121·25n 5 tinas as 25:2401n = 25:7 4 n 6 tinas as 65:77n 7 tinas as 7:2125n = 7:125·17n 7 tinas as 7:425n = 7:25·17n (a close second, the 5s-complement of the f...
by Dave Keenan
Fri Sep 04, 2020 9:33 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

Thank you for asking these questions. What do you mean by "first"? I imagine there is some pattern to the cells you chose to give a thick black border, among the ones highlighed in red for being within 9 tinas in size. And I expect that this pattern is "first" for some definition of first. But I can...
by Dave Keenan
Thu Sep 03, 2020 11:01 pm
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14137

Re: Magrathean diacritics

I think you've run with what I wrote here: In this post , I noted that the first 2,3-free ratio in the above list that does not yet have a sagittal symbol, 25/11, is a candidate to be notated by a 1 tina accent applied to the existing symbol for 49/11 :~~|: . That makes 1 tina = 1225/121n which is w...