## Search found 809 matches

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...
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...
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...
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...
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...
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.
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...
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...
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 ...
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...