Does the strength of tides change between new moon and full moon?

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Why are tides stronger at the new moon for a few months and then it changes back to having tides stronger at the full moon?
 
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At new moon and full moon the sun, Earth and moon are in a line.
The gravitational effects of sun add to the moon's effect
 
The strongest tides will be at new or full moon when the moon is at perigee (its closest point to Earth in its elliptical orbit). Sometimes perigee roughly coincides with full moon. A few months later, it will roughly coincide with the new moon. This pattern repeats indefinitely.