Table 1.

Major lunisolar cycles

Period*	No. of lunar months†			Offset from synodic month‡
	Synodic	Anomalistic§	Nodical	Anomalistic	Nodical
0.080852	1.0	1	1.0	(−1.97)	(−2.32)
1.131929	14.0	15	15.0	−0.11	(−5.25)
2.263858	28.0	30	30.5	−0.22	(3.12)
2.789396	34.5	37	37.5	0.71	1.65
2.870249	35.5	38	38.5	−1.26	−0.67
3.314935	41.0	44	44.5	1.64	0.19
3.005052¶
5.659645	70.0	75	76.0	−0.55	0.99
6.185184	76.5	82	83.0	0.38	−1.48
6.010103‖
8.974580	111.0	119	120.5	1.10	1.18
9.055432	112.0	120	121.5	−0.88	−1.14
9.015154**
18.030012	223.0	239	242.0	0.22	0.04
93.020310	1115.0	1223	1248.5	−0.28	−0.48

^*Period, in tropical years (365.2421988 days), for the number of synodic months indicated. Important average periods in boldface. 

^†Synodic month, 29.53059 days; anomalistic month, 27.55455 days; nodical month, 27.21222 days. 

^‡In days. Parentheses indicate poor matching with the synodic month. 

^§Must be a whole number. 

^¶Equal to (2.789396 + 2.870249 × 3 + 3.314935 × 2)/6. 

^‖Equal to (5.659645 + 6.185184 × 2)/3. 

^**Equal to (8.974580 + 9.055432)/2.