Talk:Schismic–Pythagorean equivalence continuum

Add option for Syntonic-Pythagorean equivalence continuum?

Wouldn't it be good to have a k = n - 1 option to equate this to a Syntonic-Pythagorean equivalence continuum, the same way the syntonic-chromatic equivalence continuum has a k = n - 2 option? This is because the Pythagorean comma will not be directly relevant for most temperaments that are not multiples of 12EDO, but the syntonic comma has wide relevance, both as a comma and as a musical interval in its own right. unsigned contribution by: Lucius Chiaraviglio, 6:18, 8 July 2024 (UTC)

For what it's worth, the Pythagorean comma not only has relevance as the difference between, say, C# and Db, but it has functions as a musical interval in its own right, much like the syntonic comma. That said, I can see what you're talking about otherwise. --Aura (talk) 14:36, 8 July 2024 (UTC)

Syntonic-commatic/Pythagorean is not k = n - 1 but m s.t. 1/m + 1/n = 1 as is already documented. I suppose you mean schismic-syntonic? Tbh I never find that k = n - 2 of syntonic-chromatic useful at all. You'd better ask Godtone, who proposed that. I for one think the most important of these temps is that the interval class of 3 is split into n or m parts. FloraC (talk) 12:10, 9 July 2024 (UTC)