User talk:Eufalesio/Moture's Extended Functional Just System
th for your contribution! you can check out the content with more details in my original page. you came up with a NFJS-ish formal commas first, that's great, and remember there are more options.-FilterNashi (talk) 08:47, 29 November 2025 (UTC)
About Formal commas log( RoT
in the EFJS, the height (complexity) of the intervals does not only depends on the fifth. and there's 1/3 fifth, 1/4 fifth and 1/2 octave, 1/3 octave as well. So that's much harder to determine RoT or something like that. so the formal commas can be determined with these:
- experience / intuition. not for a very specific reason.
- based on the much more complicated ways to measure the complexity of the intervals. -
FilterNashi (talk) 08:59, 29 November 2025 (UTC)
- I assumed that since you said that the formal comma for 11 should be sqrt(243/242), I thought that this system was to be integrated with Neutral FJS. What other alternatives are there?
- --Eufalesio (talk) 13:04, 30 November 2025 (UTC)
- to measure the complexity of a formal comma, my intuition for that is (abs(x)*log(2)+abs(y)*log(3))*abs(z) for a comma which is [x y z>([x/z y/z 1>actually) within 2.3.p subgroup. for 7 the formal comma could(but not must)be sqrt(49/48) and 7/4 is n6.5, and for 13/8 it's n6 is actually better approach but i feel a little bit strange for 13/10 is a kind of fourth. i thought it might be 3rd-ish and actually 3.5 but that's not supported by most type of RoT or something like that. 17/16 could be m2 or sM1.5, m2 is good enough IMO. A4 for 23/16 is kinda forced, sM4.5 is very precise but way too complex. and i couldn't even start with the case of 29/16, it's kinda stuck between m7 and n7, A6 is not so precise at all and also too complex. so I'm a little confused. -FilterNashi (talk) 14:52, 30 November 2025 (UTC)
About i degrees
i like the idea of i degrees for irrational intervals. but that would break the consistency if the degrees can be any real number. like the example which already exists in the page, 5\13{3} can be represent without i degrees.-FilterNashi (talk) 09:32, 29 November 2025 (UTC)