Search found 58 matches

Thu Jun 11, 2020 4:33 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 100
Views: 25340

Re: A proposal to simplify the notation of EDOs with bad fifths

I call it "group number" because many EDOs (but not all) have a whole-number value for this, like the element groups on the chemistry periodic table. Here's all the fractions up to 72-edo: Group number EDOs Colour ------------------------------------------------- 0 1 Black I 3, 6 Gold II 8 Gold 2.5...
Sat Jun 06, 2020 3:19 am
Forum: Developing Educational Resources
Topic: Naming commas and other intervals: a compilation of various sources
Replies: 19
Views: 2007

Re: Naming commas and other intervals: a compilation of various sources

[50516 -31867, 0 0 -1, 0 0 0, -1> and [-50500 31867, 0 0 -1, 0 0 0, -1> I applaud your persistence in finding that extraordinary pair of 11.23-commas. :clap: Actually, I was ... just using whatever comma I thought of first (which turned out to be 1/253C) that met certain criteria that I don't remem...
Sat Jun 06, 2020 12:48 am
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14635

Re: Magrathean diacritics

munged_error(error) = 1/(0.5 - error) - 1/0.5 munged_3_exp(3_exp) = 1/(14 - 3_exp) - 1/14 Error Munged x5.5 ----- ------ ---- 0.000 0.0000 0 0.050 0.2222 1 0.100 0.5000 3 0.150 0.8571 5 0.200 1.3333 7 0.250 2.0000 11 0.300 3.0000 16 0.350 4.6667 26 0.400 8.0000 44 0.450 18.000 99 0.480 48.000 264 0...
Thu Jun 04, 2020 1:02 am
Forum: Just Intonation notations
Topic: consistent Sagittal 37-Limit
Replies: 73
Views: 10417

Re: consistent Sagittal 37-Limit

I suspect the 499S there is a typo because 499 is a relatively huge prime. The 499S is a pretty simple ratio (499:512), and it is in the range of 91 minas (at 91.28 in 2460-EDO and 91.25 in 233-EDA), so if it is a typo, someone must have just went along with it. And this was in or before 2007, beca...
Tue Jun 02, 2020 12:47 pm
Forum: Developing Educational Resources
Topic: Naming commas and other intervals: a compilation of various sources
Replies: 19
Views: 2007

Naming commas and other intervals: a compilation of various sources

This ... made me think of writing this all out: I agree with your argument. But there's no need to check. That property was guaranteed by generating candidates with steadily increasing 3-exponents, starting from zero and working in both positive and negative directions. Here's the Comma Namer spread...
Mon Jun 01, 2020 7:01 am
Forum: Just Intonation notations
Topic: Shafts, 11M complements, and apotome complements
Replies: 0
Views: 533

Shafts, 11M complements, and apotome complements

My choice for a 1/4-apotome symbol is the 7-comma symbol :|): because the exact relationship :|): + :||): = :/||\: is highly suggestive of :|): + :|): = :/|\: although this is only approximate in standard Sagittal. While this is from 2015, it still made me feel like cataloguing all of the schismina...
Sat May 30, 2020 2:43 am
Forum: Just Intonation notations
Topic: consistent Sagittal 37-Limit
Replies: 73
Views: 10417

Re: consistent Sagittal 37-Limit

For those who want to reverse engineer this complexity measure, to explain it to the rest of us, I note that George has left the formulas only in the first row. But already I can tell you that it is dominated by the sum of prime factors greater than 3 (SoPF>3). The weighted complexity is G+J+K+L, w...
Fri May 22, 2020 1:22 am
Forum: Just Intonation notations
Topic: 140th mina
Replies: 29
Views: 4281

Re: 140th mina

I find that George's JI notation spreadsheet does not produce an error when asked to notate 25/77. It simply doesn't offer any notation with a 68.1 ¢ (no-mans-land) alteration. It only offers two possible spellings instead of the usual three. What would the third spelling be? Looking in the calcula...