All good but I'd just like to point something out.
When you boil pasta you're actually hydrating it, and it's a process that occurs above 80C, you don't need water to be boiling savagely.
In fact, it's preferable to let pasta simmer, as full boiling is a bit too "violent" and tends to damage most kinds of pasta.
You know, when some pieces are broken and torn like when it's overcooked? You can avoid that by keeping the temperature low.
Some people in Italy even turn the fire off after the water has started boiling ,as the water is hot enough to cook the pasta and keep it nice and firm.