User:Overthink/Frameshift–Mercator equivalence continuum

The Frameshift–Mercator equivalence continuum is the set of all temperaments which equate a number n of frameshift commas to mercator's comma. When extended to include fractional and infinite n, it represents the set of all 2.3.11 temperaments supported by 159edo. Unfortunately, many of these temperaments are quite complex.

Temperaments in the continuum

n	Temperament	Comma
		Ratio	Monzo
−1	12e & 159	[very long]	[-118 81 0 0 -3⟩
0	2.3.11 Mercator	[very long]	[-84 53⟩
1	29 & 36	[very long]	[-50 25 0 0 3⟩
2	Tribilo (Rank-2 nexus)	1771561/1769472	[-16 -3 0 0 6⟩
3	17 & 142	618121839509504/617673396283947	[18 -31 0 0 9⟩
…	…	…	…
∞	Rank-2 Frameshift	22876792454961/22866405883904	[-34 28 0 0 -3⟩

One may want to look a version of this continuum that can be called the Nexus–Mercator equivalence continuum, which equates m nexus commas with the mercator's comma. This makes sense as the nexus comma is much simpler than the frameshift comma. (section incomplete)

Nexus–Mercator equivalence continuum

m	n	Temperament	Comma
			Ratio	Monzo
−1	?
0	0	2.3.11 Mercator	[very long]	[-84 53⟩
1	?
2	?
3	?
…	…	…	…	…
∞	2