Aha finally an image! I think I start to understand what you could mean. If easter would be on 1st Jan and full moon on day 27 this would be roughly the same as in this mathics.org code (Warning I just hacked that in fastly might be full of mistakes):

Clear[modf,amod,ilist];
modf[n_]:=N[(n*27.321582/365.241891-Floor[n*27.321582/365.241891])*365.241891];
a=0;
amod={};
ilist={};
For[i=1,i<150,i=i+1,If[modf[i]<365.241891/12,amod=Append[amod,N[(i*27.321582/365.241891-Floor[i*27.321582/365.241891])*365.241891]],ilist=Append[ilist,i]]];

amod
{27.321582,17.260257,7.19893199999999954,24.4591890000000031,14.3978640000000029,4.33653900000000231,21.5967960000000024,11.5354710000000022,1.47414600000000162,28.7957280000000058,18.7344030000000052,8.67307799999999006,25.9333350000000228}

Sorry for the strange coding but I couldnt find non-integer Mod on mathics and I keep having trouble with the Mathematica notation of assignments (that is I was only able to assign values to amod here by appending...)
So for the moon months
1, 14, 27, 41, 54, 67, 81, 94, 107, (108), 121, 134, 148
which seem interestingly all apart from 108 either 13 or 14 months distance away,
you end up in the first solar month of the year where the integer part of the list amod says on which day and apart from some exceptions (here 108) this is "the" day which would be "easter". Moreover the day distance from Jan. 1st is sort of oscillating. Funnily before you had tried to explain the what you call "antialiasing" I had tried to do this type of calculation myself on a calculator, but then gave up and largely postponed the calculation. Your "hint" made me look at it again.
So for the first year one has 27 days delay then the second 17 then 7, then 24, 14,4,22,12,1,(29),19,9,26.

Yes this looks indeed interesting!

>The moon and the sun have first-order effects on the earth's tides, and the other planets are second-order.

I havent checked yet on this Jupiter-Sunactivity thing, but as I have the suspicion that sunwind may play a role Jupiter might be at least something which should be kept in mind.