User:Royalmilktea/Jubilismic equivalence continuum

The jubilismic equivalence continuum is a continuum of temperaments which equate a number of mothwellismas (99/98) with the jubilisma (50/49).

All temperaments in the continuum satisfy (99/89)ⁿ ~ 50/49. Varying n results in different temperaments listed in the table below. It converges to the 11-limit temperament of mothwellismic as n approaches infinity. If we allow non-integer and infinite n, the continuum describes the set of all 11-limit temperaments supported by undecimal jubilismic due to it being the unique temperament that tempers out both commas and thus tempers out all combinations of them. The just value of n is approximately 1.9899, and temperaments near this tend to be the most accurate ones.

Temperaments in the continuum

n	Temperament	Comma
		Ratio	Monzo
-1	12 & 8d & 14c & 21e	2475/2401	[0 2 2 -4 1⟩
0	Jubilismic extension	50/49	[1 0 2 -2 0⟩
1	Ptolemismic	100/99	[2 -2 2 0 -1⟩
2	Kalismic	9801/9800	[-3 4 -2 -2 2⟩
3	31 & 12 & 19 & 364	970299/960400	[-4 6 -2 -4 3⟩
...	...	...	...
∞	Mothwellismic	99/98	[-1 2 0 -2 1⟩