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

Posted:

**Mon Jan 09, 2017 1:08 pm**Why notGeorge Secor wrote:Symbol Pronunciation Limma fractions represented Comments * ktai 55L 4/7* Olympian 55L is (495:512, limma less 55C) * chai 7L 3/5*, 2/3*, 5/7*, 3/4* Olympian 7L is (27:28, limma less 7C) = * tao-sharp 4/5*, 5/6**, 6/7* Olympian is = (99:104, limma less 11:13k) = * prao-sharp 1 limma* Olympian limma is = (243:256)

Symbol Pronunciation Limma fractions represented Comments * wai 55L 4/7* Olympian 55L is (495:512, limma less 55C) * dai 7L 3/5*, 2/3*, 5/7*, 3/4* Olympian 7L is (27:28, limma less 7C) = * tao-sharp 4/5*, 5/6**, 6/7* Olympian is = (99:104, limma less 11:13k) = * pao-sharp 1 limma* Olympian limma is = (243:256)?

So, including both the apotome-fraction and limma-fraction notations, I've reduced the number of non-spartan single-shaft symbol pairs from 7 to 3, and the last of those 3 is athenian. The three remaining non-spartans are rai 19s, slai 143C and kai 55C. All three represent their primary commas (except in 54, 59 and 71 edos). The other 4 non-spartans have been replaced with spartans in secondary comma roles, or equivalently with olympians in primary comma roles with their diacritics omitted, leaving only their spartan cores.

I don't consider it to be a problem that dai and pao-sharp appear in both apotome-fraction and limma-fraction notations. I think any advantage that might be gained by having completely disjoint symbol sets for the two cases would be outweighed by the disadvantage of having to learn two new non-spartan non-athenian symbol pairs.