Search found 573 matches

by Dave Keenan
Fri Jul 03, 2020 10:28 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

I also found this less-fragile minimum with the same 4 parameter metric and a=2. SoS 0.005589449 k = 0.213895488 y = 0.642099097 w = -2.048657352 c = 0.551650547 I also want to investigate the following, and try to get the same SoS with 4 parameters, a=2. All your base are belong to dos. But I ran o...
by Dave Keenan
Fri Jul 03, 2020 5:24 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

Awwww... well, I got super excited about that until I looked closer and realized the problem: lots of the values tie for the same rank, and the way my code works is that it then essentially gives the benefit of the doubt (i.e. if something goes wrong and our metric ends up assigning the exact same ...
by Dave Keenan
Fri Jul 03, 2020 3:40 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

So it's really r → ry + r?t:0

Some good news. I believe that when you use soapfar only, with the same soapfar for num and den, then you can always make a = 2 by dividing w by log2(a). That eliminates one parameter. You might confirm that this gives the same SoS (maybe tomorrow). :)
by Dave Keenan
Fri Jul 03, 2020 3:21 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

ar = r → ry + t seems completely bizarre to me. You're giving repeat-counts to primes that don't exist. The output of the metric depends on how wide your monzos are.
by Dave Keenan
Fri Jul 03, 2020 2:55 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

Thanks so much for all that. I will attempt to confirm these results and understand them.
by Dave Keenan
Fri Jul 03, 2020 2:02 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

Let me know if you think this would be a feasible and worthwhile experiment for you to conduct with your javascript or python code? I suggest that, for a while, you should entertain von Neumann's pachyderm, and make him not only wiggle his trunk but dance, turn every colour of the rainbow, and grow ...
by Dave Keenan
Fri Jul 03, 2020 11:39 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 81
Views: 16882

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

:/|): = 35:36 has the tempered value of a tempered whole-tone minus 32:35, which, in 59b, is 9\59 minus 32:35 (7.73\59), which is 1.37\59, so yeah, it is valid as 1\59b. Thanks for that. I've nudged the purple/rose boundary in this post to include 59b in purple. In fact, I thought, why not define t...
by Dave Keenan
Fri Jul 03, 2020 2:28 am
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

Here's my latest candidate 4 parameter metric, for which the numinosity function is the identity function. i.e. the numinator is simply the greater of the two sides of the 2.3-reduced ratio. The main difference from the previous metrics is that the demonator function is no longer a modified count, b...
by Dave Keenan
Thu Jul 02, 2020 8:54 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

A random observation: The ratio 11/7, by any reasonable metric, is way more popular than it has any right to be. It has rank 12, between 11/5 and 17/1. It ought to be up near 13/5, with rank 15 to 17.
by Dave Keenan
Thu Jul 02, 2020 3:53 pm
Forum: Just Intonation notations
Topic: developing a notational comma popularity metric
Replies: 111
Views: 1281

Re: developing a notational comma popularity metric

Interesting technique. Not something I'd considered yet. I will try to reproduce the 4-parameter metric of yours which uses it soon. Don't bother trying to reproduce mine. My investigation into different numinosity functions looks like blowing it away. It looks like the best numinosity function is ...