Talk:Mercator family

Comma lists

Hey, Flora, even though the commas you list are technically all tempered out, I think it's safe to say that most of what I had on my version of the lists actually dealt with some of the linearly independent commas. I mean some of the commas you list are only tempered out as a consequence of the commas mentioned in the descriptions being added to the comma list. For instance, the Schisma and the Symbiotic comma add up to the Keenanisma. --Aura (talk) 12:28, 11 March 2021 (UTC)

By Mike's "first fundamental law of tempering" (basically a restatement of rank-nullity theorem), you got one comma less than required in every case. In the example of 11-limit cartography, three are required (and the simplest basis is {385/384, 6250/6237, 19712/19683}). FloraC (talk) 14:01, 11 March 2021 (UTC)

That's a new one. I think I need to talk to Mike and figure out more about how this works and why. --Aura (talk) 21:26, 11 March 2021 (UTC)

Make sure to read it first: Mike's Lecture on the First Fundamental Law of Tempering on this wiki. FloraC (talk) 05:11, 12 March 2021 (UTC)