The Sagittal forum

Thanks for that. I've nudged the purple/rose boundary in this post to include 59b in purple. In fact, I thought, why not define the boundary as the noble number that is the limit of this fibonacci-like sequence 4\7 , 15\26 , 19\33 , 34\59b , 53\92b , 87\151bb , 140\243bbbb , 227\394bbbbbb , ... i.e...

By the way, thanks for correcting my pronunciation of "a-POT-o-me". I had been pronouncing it "AP-o-toam" like "microtome" all these years! Yeah, me too. What's so special about a 692.2¢ fifth that makes it the boundary between purple and rose? Nothing. Any value betwe...

No, not a lot else. It's really just the 3-exponents. (for schismas and schisminas, apotome slope and abs3exp are essentially the same thing). Yeah, pretty much. The definition of a comma's apotome slope is equivalent to "the comma's 3-exponent minus its size, where the size is measured in 7ed...

They are estimated as fifth-errors in cents, which could be converted to group numbers. They can only be made more precise by attempting to devise an apotome-fraction notation for each colour (except Gold and Orange, for which this has already been done, and Rose which must remain a limma-fraction ...

Suppose we raise π(p) to some power? In its case the power would probably be > 1. I could see this being the right thing. That composers actually use higher primes in a pattern which is based not on their size but their index in the sequence of primes, but then not a linear weight on these indices ...

That thing has an SSL certificate that's expired by about a week... If you're not comfortable visiting that link, volleo6144... No, there really wasn't anything I was worried about, really; it's just that ... the site's admins probably haven't cared in a week, or they'd have ... done something. ---...

I'm not sure I understand exactly what you mean: 1:343 abs(n - d) = 343 - 1 = 342 1:341 abs(n - d) = 341 - 1 = 340 1:343 abs(sopfr(n) - sopfr(d)) = 7 + 7 + 7 = 21 1:341 abs(sopfr(n) - sopfr(d)) = 11 + 31 = 42 It looks like abs(sopfr(n) - sopfr(d)) maybe does a better job, but I don't see a "he...

Ah ha! I see now. The usage of . as a multiplication symbol is not intuitive to me. That thing has an SSL certificate that's expired by about a week... Also, coming from a pure math background, it might be helpful to note that various metrics often only use a number's square instead of its absolute...

I feel like there's gotta be some pithier and clearer term for "they sort the same"... like, mutually monotonic? Anyway, that's a good observation re: 29:1 and 31:1's popularity order being switched (vis-à-vis their prime limit). That could mean either: b. the weight on primes may need to...

It sounds like maybe you were thinking our candidate function would map a comma to a value that was meant to look just like the value of a rank, e.g. it might try to map 11:1 to something really close to 6 because 11:1 is the 6th most popular comma. That could work too, but it seems like an extra s...