## Search found 623 matches

Tue Jul 14, 2020 9:36 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 165
Views: 3077

### Re: developing a notational comma popularity metric

Evolutionary Solver gives, for soapfar(n) + k×soapfar(d), where ap(p) = lb(p+x)+w, ar(r) = ry, soapfar(n)≥soapfar(d) x = 0.95300244, w = -1.781639641, k = 0.626607072, y = 0.849485211, SoS = 0.005795112 Douglas found a slightly lower SoS = 0.005680348 for this metric, here: http://forum.sagittal.org...
Tue Jul 14, 2020 7:47 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 165
Views: 3077

### Re: developing a notational comma popularity metric

Keeping soapfar(n)≥soapfar(d) but removing the copfar, we get: soapfar(n) + k×soapfar(d), where ap(p) = lb(p)+w, ar(r) = r y , soapfar(n)≥soapfar(d) w = -1.481526766, k = 0.581696884, y = 0.86461511, SoS = 0.006406639 So soapfar(n)≥soapfar(d) is the way to go with that one. It only got SoS = 0.00746...
Tue Jul 14, 2020 4:57 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 165
Views: 3077

### Re: developing a notational comma popularity metric

Now introducing c×copfr(nd). soapfar(n) + k×soapfar(d) + c×copfr(nd), where ap(p) = lb(p)+w, ar(r) = r y , n≥d w = -1.09913086, k = 0.74710179, y = 0.903870452, c = -0.352088418, SoS = 0.007300195 That's barely better than the SoS without any copfr. But that's with n≥d. The best so far was the same ...
Tue Jul 14, 2020 11:38 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 165
Views: 3077

### Re: developing a notational comma popularity metric

Some more results from the Evolutionary Solver are: soapfar(n) + sompfar(d), where ap(p) = lb(p)+w, mp(p) = lb(p)+b, ar(r) = r y , n≥d w = -1.472615144, b = -2.02634047, y = 0.865618551, SoS = 0.006057649 Again it took 5 runs of approximately 30 seconds each, before the SoS no longer changed. Previo...
Tue Jul 14, 2020 10:59 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 165
Views: 3077

### Re: developing a notational comma popularity metric

The fact that lb(n) = soapfr(n) where ap(p) = lb(p), is a special case of the above where the poapfar(n) has mp(p) = p and mr(r) = r and so becomes popfr(n), which is just n.
Tue Jul 14, 2020 10:44 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 165
Views: 3077

### Re: developing a notational comma popularity metric

You may have proved [poapfar] equivalent to something my code is currently capable of, since you recommended that I not implement poapf(a)r. If it is equivalent to something in my code already, I'd prefer not to implement it as well, because any new parameter or metric I add, as I've explained, exp...
Tue Jul 14, 2020 9:52 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 165
Views: 3077

### Re: developing a notational comma popularity metric

But we found an opening so we're taking a road trip up the coast. Sounds great. Janelle and I did a weekend trip up there in the summer of '94, when I was working at Interval Research . Looking at the map now, I can't remember where we went. We can't have got far. Maybe Mendocino. But I remember it...
Mon Jul 13, 2020 7:04 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 165
Views: 3077

### Re: developing a notational comma popularity metric

Dear Douglas, Your latest had its greatest effect on me in your revelation that I could expect little progress from your end for "a couple weeks". This galvanised me into searching desperately for whether there wasn't some way the Excel Solver could be made to do Simulated Annealing or a similar alg...
Mon Jul 13, 2020 10:27 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 90
Views: 18176

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

The Fibonacci-like sequences for the boundaries (similar to the purple/rose one seen in a previous post) are, up to the point where you start needing "b"s, and including some terms before the ones of the right color (up to the point at which a higher number precedes a lower number): ... * Uh... you...
Mon Jul 13, 2020 9:56 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 90
Views: 18176

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

Ah. Thanks for that. How about a limit on abs(group-10)+steps_per_CD? Seems maybe okay; this essentially means drawing two diagonal lines parallel to the two diagonals with 72 on them. If this limit is 12 (as the value for 72 ), then ten EDOs on the sharp side (42, 49, 56, 63, 70, 54, 61, 68, 59, 6...