I did not think you don't like them. But you seemed to allow that they might not be strictly adhered to, when you wrote:
However, if you want to just borrow the accidentals from 144edo, and you don't intend to use them as a part of a larger system or care about the Trojan symbols boundaries when applied to the Fibonacci tuning itself, you can use to notate +55 generators ...
You wrote:
I agree, and I'm impressed by how much you have read of this forum.I think they are quite handy and a valid consideration when the fifth is between 699.1831¢ and 700.7552¢ ...
I now accept that we need accidentals for both -68 g (31.57 ¢) and +76 g. (35.30 ¢). The Trojan boundaries and flag arithmetic give these as and respectively.Why did you choose to use for -68 steps and not for +76? It's indeed a smaller number in absolute value, but +76 gives you an apotome complement of +8 generators, which is much better than the +152 generators that -68 gives you. Also, having as an accidental for -68 and not an accidental for +76 gives you the problem in the beginning of my last post, where D is below C and the distance between them is only 8 generators.
I strongly prefer having an accidental for +76 generators, ...
I also accept that we need both 55 g (9.76 ¢) and -89 g (6.03 ¢). My solution for these is to introduce a non-Trojan symbol (11.13-comma, 144/143) for 55 g (justified here), and use for -89 g as you suggest.
I find that in order to avoid nominal crossings, symbols for the following numbers of generators must be introduced in the following order, as the generator chain grows in both the positive and negative direction, up to 144 notes. This was done with 0 g notated as D (the point of symmetry in the chain of fifths), but I'm not sure if that matters.
First Value of occurs accidental Accidental (g) (g) (¢) ---------------------------------- 1 -13 41.33 2 -34 15.79 3 21 25.54 4 -68 31.57 -4 76 35.30 5 55 9.76 6 42 51.09 -17 -89 6.03 -30 -102 47.36 -38 110 19.51 -51 -123 21.82 -59 131 45.06
Symbols for -123 g and 131 g would need to use accent marks, so I prefer not to allow them, but instead to say that we can only notate up to the 89-note MOS of the Golden tuning.