The Sagittal forum

ndentonprotsack Hi Nick, Well we've both been busy for the past year. But maybe now we can finalise this, so I can make a SMuFL submission. Can you please confirm that: (a) You're still happy with the current outlines for the Stoic symbols, and (b) That the JSON metadata files have given the desire...

Yes. I think one post a day would be plenty to take in. Thank you for the correction. I have made the edit.

I'm linking to this old post by Dan Stearns because it seems like it might be relevant. https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_76975.html#77465 There are other useful posts in that thread, such as this one with a list of noble and near-noble triads at its end (quoted below)...

Here's a proposal for standard pairs of convergents (in green ) for approximating each noble using Mike Battaglia's geometric mean approximation scheme, with a "prime" basis of 2.3.5.7.11.13.2 χ .3 χ .5 χ .7 χ .11 χ .13 χ .17 χ where χ = ϕ/√5 ≈ 0.7236. Mike proved that this constant, for w...

Choosing pairs of Rationals for the Geometric Mean Approximation Scheme The following table gives more insight into the process that led to the choices in the previous post, for approximating nobles by complex rationals. It is also useful in deciding which pairs of rationals to use in approximating...

Here's a video of Joseph Monzo's The Kog Sisters, in 37ed2, showing how he notated it.
https://www.youtube.com/watch?v=QERRKsbbWUQ

Approximating Nobles with Complex Rationals In discussions in the facebook thread , Mike Battaglia suggested approximating the nobles using phi-weighted geometric means. This would allow us to have only ordinary primes in our basis, but the entries in the vectors would become feudal integers instea...

Modular Inverse I've attached an Excel spreadsheet with a formula that blew my mind the other day. In the feudal facebook thread, Mike Battaglia came up with a cool way of factoring an (almost*) arbitrary feudal integer into a product of nobles and units (assuming that's always possible, as I conje...

Naming Nobles About that n7/4 or \(\text{n}\frac74\) notation for noble numbers shown in Figure 8 and Tables 14 and 15 . The small "n" can be considered the ennoblement function. When applied to any rational number, small "n" gives a unique noble number. Not to be confused with ...

Thanks cmloegcmluin . It would have been strange if this thread did not contain at least one example of a feudal comma. You have given several. Clarifications I'd like to clarify a few things that have come up in email and facebook conversations: 1. It is so far only a conjecture , I don't have a pr...