Search found 809 matches

by Dave Keenan
Mon Sep 28, 2020 11:57 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 100
Views: 25015

Re: A proposal to simplify the notation of EDOs with bad fifths

Here's a start on notations for them, based on your colours and parenthesised EDOs of the same fifth-size. 11b will be "ss22". 18b (9) will be "ss36". 23b can be the same as 30 and 37, i.e. :)|: :/|: :(|\: (but maybe it should be "ss46"?). 30b will be the same as 35 and 40, i.e. :|(: :|): :(|\: (a l...
by Dave Keenan
Mon Sep 28, 2020 11:15 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 100
Views: 25015

Re: A proposal to simplify the notation of EDOs with bad fifths

Up to 72-EDO it includes only 6b , 11b , 18b (9) , 23b , 30b , 35b (5) , 42b (7) , 47b , 59b , 64b (32) , 71b . This is equivalent to setting the EDO × cents-error boundary at 686¢, the tempered perfect fifth of 7edo. (This will never result in a case that's exactly on the line, for the same reason...
by Dave Keenan
Mon Sep 14, 2020 9:10 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 441
Views: 25179

Re: developing a notational comma popularity metric

No update on this front yet. I'm still buried in chores, cleaning up the code base. I could always plunge ahead and add more stuff, but sometimes I reach a tipping point and just feel like if I don't pay down some of the tech debt I'll go nuts. Fair enough. I did come across this interesting number...
by Dave Keenan
Sat Sep 12, 2020 8:37 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 441
Views: 25179

Re: developing a notational comma popularity metric

Sure. I could take the straight count of corrects, or I could take some weighted correctness. Like, if you're not correct, the square of the difference between your usefulness score and the correct comma's usefulness? The latter has a bit more of the SED feel from the approach we took with the popu...
by Dave Keenan
Fri Sep 11, 2020 5:43 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 441
Views: 25179

Re: developing a notational comma popularity metric

But would you prefer sqrt to lb for any reason? Otherwise, I don't see that we require a substitute. I think we need to reconfigure the LHC as an electron positron collider. :) By which I mean you could use similar methods to those you employed in finding N2D3P9, but the set of functions to be trie...
by Dave Keenan
Fri Sep 11, 2020 4:22 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 441
Views: 25179

Re: developing a notational comma popularity metric

cmloegcmluin wrote:
Fri Sep 11, 2020 1:40 am
Is that another puzzle? ;) I don't quite see the relationship between sqrt and the log-log plot.
Old modellers trick. A straight line on a log-log plot means a power function, with the slope being the power, in this case 2. So sqrt is its inverse, to convert N2D3P9 back to sopfr.
by Dave Keenan
Thu Sep 10, 2020 11:24 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 441
Views: 25179

Re: developing a notational comma popularity metric

I can implement this function as lb(N2D3P9) + 2^(ATE-DATE) + 2^(AAS-DAAS), yes. Are you sure, however, that you want add the term for AAS without adjusting the strength with which it and ATE applies? I might have expected you would want to keep a similar overall impact of the 3-exponent, distributi...
by Dave Keenan
Thu Sep 10, 2020 10:33 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 441
Views: 25179

Re: developing a notational comma popularity metric

Here's a log-log plot of N2D3P9 versus sopfr. It shows that the rightmost line of points corresponds to sopfr = sqrt(N2D3P9×18) = 4.2 × sqrt(N2D3P9). I believe this line corresponds to the lone primes. http://forum.sagittal.org/download/file.php?mode=view&id=203 So sqrt(N2D3P9) would be an alternati...
by Dave Keenan
Wed Sep 09, 2020 7:26 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 441
Views: 25179

Re: developing a notational comma popularity metric

OK. We're back here to complete the project described in this thread's title, although renaming it slightly as a "notational comma usefulness metric". N2D3P9 is a 2,3-equivalence-class popularity metric. Now we want to combine it with considerations of absolute three exponent (ATE) which relates to ...
by Dave Keenan
Wed Sep 09, 2020 3:09 pm
Forum: Glyph design and Handwriting
Topic: Magrathean diacritics
Replies: 159
Views: 14136

Re: Magrathean diacritics

I hope we don't regret if we do want to find a general comma no pop rank and wish we'd used it on the tinas. But honestly at this point I think my hypothetical future regretful self would accept the fact that my present impatient self felt he'd spent enough time on this problem already. :) I hate t...