Ok, I've had a crack at understanding the info BOM given to me. This is an academic field, and I can't understand it over a few nights reading. I'm also missing some data that would allow me to calculate the Outer Harbor tides. This data isn't available on the net. So I'm going to leave it there and give you the info BOM explained to me. Basically, our gulf is subjected to three primary tidal "constituents": M2, S2 and K1.
The Principal lunar semidiurnal ("M2"): This force is due to the moon spinning around the earth and causes ocean facing the moon to bulge towards to moon, and ocean the other side of the earth bulge way from the moon. So, this constituent gives us the two high tides and two low tides over a period of 24 hours.

The bulge on the other side of the earth (in line with the moon) is due to the centrifugal forces of the earth swaying about the earth-moon barycentre (a bit like an discus thrower spinning a discus - the discus thrower is going to wobble as he spins the discus around)
Principal solar semidiurnal ("S2"): Same effect as the earth-moon except it's the sun-earth - so the sun's gravity is causing it. It will also cause it's own bulge, giving two high tides and two low tides. Period is 12hrs exactly (half a day).. or 2 high tides and 2 low tides in 24 hours. This force is far weaker than M2... approximately 1/3 of M2.
Lunar diurnal ("K1"): I've got a sketchy understanding of this force. I believe it's latitude dependant, and to do with a location having a big high tide and then 12 hours later having low or no high tide due to the location being outside of the "bulge" (see diagram above - Points "Y" and "X"). It's period is 23.93hrs, meaning that this force causes 1 high tide and 1 low tide per day (hence diurnal). This constituent has a 365 day beat frequency that gives us this post's titled effect (read on..).
So, to calculate the Outer Harbour tides, you add these constituents up (M2 + S2 + K1)... but due to the shape of our gulf (and KI getting in the way

), each constituent will first need to be amplified (scaled) and advanced/retarded (phase shifted) before the summation.
The tide constituent that causes big high tide/little high tide in summer and little high tide/big high tide in winter is K1. With this force removed, our tides will look different, but the mentioned effect will also be removed. If you look carefully at the tide graphs I posted in my last post, you'll see that the heights of the two daily high tides switch sizes at the equinoxes (March 20 and September 23). This is K1 at work !
Some light reading:
en.wikipedia.org/wiki/Arthur_Thomas_Doodson#Doodson_numberstidesandcurrents.noaa.gov/restles3.htmlen.wikipedia.org/wiki/Theory_of_tides#Higher_harmonicsen.wikipedia.org/wiki/Earth_tideeprints.soton.ac.uk/19157/1/sea-level.pdfIf anyone thinks I could be misinterpreting BOM's explanation (they were brief !), then I can PM you their response. I won't post it here.