User talk:Userminusone/Goldis comma
Okay, first things first, this "comma", strangely enough, is actually a type of 5-limit quartertone, and thus, it probably needs to be treated as such due to it having other properties when not tempered out. In order to determine just what those are, we need to find out what the FJS name is, and Flora Canou would know more about this. Interestingly enough, one instance of this quartertone plus three 16875/16384 negri quartertones equals 9/8. Therefore, I think we need to take a second look at the function of 16875/16384 as well. --Aura (talk) 22:50, 18 March 2021 (UTC)
Apparently, this interval is a type of octuple-diminished fifth in FJS notation, while the negri quartertone is an double-diminished negative second. How weird. At least the math lines up for 9/8. --Aura (talk) 23:19, 18 March 2021 (UTC)
- I personally think this comma is too close in size to the negri comma to have important distinctions from it, but I'm glad you're already thinking about applications for this comma. I understand this comma's temperament is relatively inaccurate and complex, but I think it still has some interesting potential, especially since the resulting MOS scales are relatively close to golden MOS. --Userminusone (talk) 00:55, 19 March 2021 (UTC)
- I see what you're saying. I guess the negri comma, goldis comma, and porcupine comma could all be interpreted as similar but different 5 limit quarter tones. By the way, I just found out that 89edo tempers out the quartisma and the goldis comma, which is a bizarre but cool bridge between your work and my work. --Userminusone (talk) 02:03, 19 March 2021 (UTC)
- Yep. For the record, three instances of 250/243 plus one instance of 129140163/125000000 also adds up to 9/8, so 129140163/125000000 rounds out the set of 5-limit quartertones. Oh, and yeah, 89edo is definitely an interesting bridge between your work and mine. --Aura (talk) 02:50, 19 March 2021 (UTC)
Equivalence continuums and the goldis comma
I would like to point out that the chromatic-semicomma equivalence continuum includes the passion comma and the goldis comma, as well as an unnoticeable comma that I don't yet know the name of. (that is, if my math checks out correctly) --Userminusone (talk) 03:23, 19 March 2021 (UTC)
- Interesting. The odd thing about this is that the semicomma itself is one of the commas on the schismic-Mercator equivalence continuum, and I seem to have found the basis of that particular continuum largely by accident while looking at links between tempered out commas in 53edo. It was Flora and Inthar who finalized the idea for the schismic-Mercator equivalence continuum though. --Aura (talk) 03:57, 19 March 2021 (UTC)