Planetary orbital period multiples that align to Earth years

Assuming that one Earth orbit takes $365.242199$ days, the following table notes the durations at which the other planetary orbital periods come close to a multiple of Earth's. The associated error, as a percentage of the planet's orbital period, is noted as well.

Planet	Orbital Period	Multiple	Number of days	Earth years	Error (day)	Error (%)
Mercury	87.9691	328	28,853.8648	79	0.268921	0.306
Mercury	87.9691	191	16,802.0981	46	0.956946	1.088
Venus	224.701	13	2,921.113	8	0.824592	0.367
Mars	686.98	42	28,853.16	79	0.973721	0.142
Mars	686.98	25	17,174.50	47	8.116647	1.181
Mars	686.98	17	11,678.66	32	9.090368	1.323
Mars	686.98	8	5,495.84	15	17.207015	2.505
Jupiter	4,332.59	29	125,645.11	344	1.793544	0.041
Jupiter	4,332.59	22	95,316.98	261	11.233939	0.259
Jupiter	4,332.59	7	30,328.13	83	13.027483	0.301
Saturn	10,755.70	29	311,915.3	854	1.537946	0.014
Saturn	10,755.70	9	96,801.3	265	12.117265	0.113
Saturn	10,755.70	2	21,511.4	59	37.889741	0.352

This is closely related to how long a planetary "analemma" takes to form an approximately closed curve. The "Error (%)" column indicates how close it comes to making a true closed curve. This assumes that the orbital elements of the planet are constant over the period in question which we all know is not true.

The above numbers were what I relied on when tracing the analemma curves in previous blog posts. For instance, I chose the $59$ year interval for Saturn (here) as other options ($265$ or $854$ years) were too long. My choice of $12$ years for Jupiter (here) was an early approximation, and I need to regenerate the trace again over an $83$ year interval instead.