While that has to do with cycles of solar body revolution, meteorological seasons deal with the cycle of annual temperature cycles, hence why they start 20-22 days earlier. However this has to do with global variations and as such may not actually coincide with regional average temperature cycles.
So which one should you follow? Personally I always go with the normal seasons as weather is always in flux and their deviations rarely coincide as well with the cyclical definitions. That and climate is changing so much that it may not be accurate any more.
Right now however we have Tropical Depression Polo, once a category 1 hurricane, that is moving offshore and slowly dissipating. Another storm though is currently south of Mexico and has a 60% chance of forming into a hurricane over the next 48 hours, and a 80% over the next 5 days. That one is slated to be named Hurricane Rachel once it intensifies.
The Climate Prediction Center did in fact call for a below normal season, and on average across the board there were predictions of 12 named storms, 6 of those hurricanes and 2-3 of those major. Right now we're just under halfway there for total storms and 2 away for both regular and major hurricanes.
The Pacific was of course higher for the average of predictions with 15 named storms, 7-8 hurricanes and 3 of those major. Again right now we're WELL above that average so that deserves a look at the record high activities:
In 1992 we had 28 named storms, 16 hurricanes and 10 of them major. At 17, 12 and 8 we're close to breaking that with still more time left in the season.