I posted the following, regarding notation of 581-EDO, on 9 April 2017 to a thread in the Facebook group Xenharmonic Alliance Mathematical Theory, and am reposting it here at Dave Keenan's request. Although most of this already appears in my previous postings here, my suggestion of the 85:121 schismina as a possible interpretation of
<< Scott Dakota, do you have a ratio for 1\581? The principal problem for notating 581 with Sagittal is defining a symbol for the single degree. The 5-schisma (32768:32805)
maps to 2\581, but is not particularly useful. The 17:121-schismina (1088:1089) maps to a single degree, but would be notated as
-- rather clumsy, but the simplest ratio for that symbol (not defined for olympian level, hence theoretically in a "super-olympian" extension). The difference between these two small intervals, the 85:121 schismina (61952:61965), would then be 1\581, notated as
-- rather convoluted in that it's valid only as a secondary ratio that's far down the list.
I previously had 581 in my notes, where I chose '|. as 17:121n for 1\581, with the first few members of the symbol sequence being: