The Sagittal forum

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...

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...

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...

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...

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...

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...