I'm not sure what you're asking. If you wanna know the differences, I can say them. LA is defined, as you said, as being a Mediterranean climate, with sunny, dry and warm falls/summers, and a mild, wet winter/spring. Keep in mind that the coast has milder and slightly damper weather. Inland areas have warmer days and cooler nights than the coast. Anyways, Summer days in LA are usually 82F, nights usually 63F, fall only slightly cooler, with 74F/53F. Winter is pretty rainy (though not as much as rain in summer on the East Coast), with 63F/42F being a typical day, and spring is more foggy (May Gray/June Gloom), usually 65F/55F. Don't forget about the smog, which is around most of the year (worst in summer, but the rain in winter keeps it at bay). Light sea breezes all year long, except when the mountains block it from going inland. Still, this wind from the ocean pushes the smog inland, where it is trapped in the Inland Empire (Redlands, Riverside, San Bernardino) because the mountains surrounding that area prevent air movement, for the most part. The beaches here, the water temp. is about 60F in winter, 62F in spring, 66F in summer, 70F in fall, dark blue, wavy ocean. The scenery along the coast here is better than in Miami, because you will rarely see any big buildings on the beach, usually only coastal communities nestled in the scrub-covered hills overlooking the sea, with salt-marshes and palm trees lining the coast. The sand here is the same as Miami, golden and not the softest, but not uncomfortable. However, CA has a mineral called mica in its sand. Mica looks like small gold flakes. LA gets a lot of its smog from wildfires, since it is so dry, and also has the risk of earthquakes. LA also has really bad traffic from the crowds, so that contributes to the smog, too, but most people consider this weather paradise.
Miami, by contrast, is subtropical, as you said. The wet season and dry season is opposite of LA. Also, the air is cleaner here, so don't worry about smog. The sea breeze here is very refreshing and constant. The summer is usually 90F during the day, maybe around 80F at night, and has very high humidity due to the constant, although brief, thunderstorms, which can cool and relieve temperatures and humidity, until the sun returns, making humidity even worse. Bugs, like flies and mosquitoes, love this weather, so watch out! Fall is a bit better, but still humid, about 85F/73F, risk of hurricanes and tropical storms, sometimes the lightning from this starts a fire in the Everglades, but those don't last long. The dry (non-humid, not rainy, sunny) season lasts from winter until spring. In winter, temperatures are pleasant, usually 76F/55F, though occasional cold snaps can come into the region from the northeast, lasting a few days, making temperatures about the same as they would be around Wilmington, NC, but this lasts for about a week at a time, occuring around twice every winter. It may damage tropical plants and animals, even kill some. Spring is warmer, about 80F/65F for a daily mean. The water temperature is more pleasant here than in LA (despite the water being much calmer), 72F in winter, 75F in spring, 85F in summer, 80F in fall. The water is also periwinkle, and very pretty. Palm trees line the pretty golden sand, but coastal scenery is pretty rare, given that most beaches are lined with resorts and hotels. Miami is very flat compared with the desert mountains of LA. It is known for just having flat marshland as scenery, but the palm trees growing here are more diverse than the ones of LA. Miami has the desert palms that LA grows, but also a great number (coconut palm, christmas palm, bottle palm, etc) that LA cannot grow due to its dryness and cooler winter temperatures. Some of these palm, though, are damaged from winter cold snaps, but usually recover quickly if they are not killed.