Dave Keenan wrote:It seems wrong to me, for 581-EDO notation to use schismina accents. 612 and 624-EDO notations don’t need them. However it seems unavoidable that 581 will need to use _some_ kind of accents. I believe 494-EDO is the largest that we can notate without accents. As with 612 and 624, I think we should use schisma accents for 581, but in the case of 581 we need to accept that they will not represent the 5-schisma.
Okay, I agree. I checked several of the simplest alternatives to the 5-schisma, and the only one I found that's valid for a single degree of 581-EDO is the 17:121-schismina. I previously pointed out that 17:121n would define
, which is not included in the olympian JI symbol set. Since we want to use only schisma (i.e., left) accents for 518-EDO, the schismina (right) accent can be dropped from
to be used exclusively in a secondary role, 17:121n.
In order to avoid confusion, I think that it would be advisable, where possible, to avoid using herculean-level left-accented symbols in the 581-EDO symbol set, since the left accents in these symbols have already been defined with 5-schisma alterations. Among the most popular to avoid are:
1C, pythagorean comma
Using the foregoing principles, I arrived at the following symbol set:
Because all of the accented symbols (except the very first and last one) have non-athenian cores, there are only two herculean-level left-accented symbols in this set,
for a single degree and its apotome-complement
, and even these can be avoided using
instead. Normally we would try to use a few symbol cores as possible, but the advantage in maximizing the number of symbol cores (in addition to eliminating 5s-confusion) is that most of the accented symbols are very easy to distinguish from the unaccented ones.