Borcherdsma: Difference between revisions
m silly wording, also idk what "distinct odd-consistency-limit" is but it appears to be an idiosyncratic term made up on the fly |
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(The last two edos are taken from the list of [[minimal consistent edos]].) | (The last two edos are taken from the list of [[minimal consistent edos]].) | ||
The largest edo to temper out the borcherdsma is not known, although it is known to be above 6.61 × 10<sup>11</sup> | The largest edo to temper out the borcherdsma by patent val is not known, although it is known to be above 6.61 × 10<sup>11</sup>. It is also known to be below 9.46 × 10<sup>11</sup>, as beyond that, a prime would need to have 50% or more relative error in order to map the comma to 0 steps. This is because the sum of the absolute values of the monzo entries for primes greater than 2 is 17, so there must be some prime with an absolute error at least 1/17th this commas size, or around 6.343 × 10<sup>-10</sup>{{C}}, and the largest EDO where this is less than half the step size is around 9.459 × 10<sup>11</sup>. | ||
[[Category: Superparticular ratios]] | [[Category: Superparticular ratios]] | ||
[[Category:Commas named after mathematicians]] | [[Category:Commas named after mathematicians]] | ||