The Sagittal forum

That was a marathon effort, but I should have done it long ago. It's not quite finished, but I need to sleep. Apart from the fact that I haven't shown any of the notations that are subsets of EDOs beyond 72, it's complete to 46-edo, and it's only missing five EDOs between 46 and 72. I should have m...

Since error weighting is a somewhat contentious topic, I'm just going to list the subgroups on which these small ETs are identical with their larger (and more popular/"generally considered decently accurate") superset-ETs. If you find those larger ETs to be sufficiently accurate on the sta...

I find that hard to believe. As I said earlier, we use consistent _subgroups_ of the obvious mapping (not neccesarily limits), in notating EDOs. But even so, I seem to remember that the maximum absolute errors in many of them are close to half a step of the EDO, where 12-edo only has a 16 cent max-...

You have it exactly. Yes we knew about comma-fraction EDO notations from Paul Rappoport's paper. There is no sharp line between JI and EDOs. Some larger EDOs, e.g. 217-edo, are audibly indistinguishable from JI and we figured they should be notated accordingly. And no-one before now, has ever wante...

There is a level of description prior to rounding the comma to the nearest step of an EDO, where we can ask what its tempered size is in cents, given the size of the notational fifth, and the power of 3 that is contained in the comma. 45/44 contains 3^2, so it will increase in size by 2 cents for e...

I suspect it has something to do with logging in via facebook, as opposed to inputting my user name and password.

That's sounds likely. I'm doing the username and password thing.

So I just spent an hour writing a reply to this and when I went to post it, I was asked to log in again, and then my reply disappeared. It seems I am automatically logged out after a short time. Bummer! But anyway, to sum it up again quickly: We did this. In fact up to the 23-prime-limit, and some u...

I can dig it. The ASCII symbols I was using differ only on the 1/4-apotome [I was using / for raising, \ for lowering] and the limma accidentals [I was using > for raising by 1/2 limma, < for lowering, and ) for raising by 1/2 limma, ( for lowering]. Of course, I'm not married to these symbols, and ...

And I fail to see how this purpose is defeated if this accidental has to map to a different accidental, or no accidental, when translating to an EDO in which the 5-comma vanishes. It seems this is entirely what a user would expect to happen. I say the purpose is defeated because any number of diffe...

I note that the following EDOs have multiple mappings which can't even agree on their mapping of the prime number 3. 23, 25, 28, 30, 33, 35, 42, 45, 47, 52, 54, 59, 64, 66, 71. This is only the case when looking at the full 13-limit. If you check them on the 3-limit only, that list shrinks down to ...