Intervals

Intervals

What is the correct way to name and write them? Is there a "correct" way?

Hello

Recently I've been brushing up on some basic interval training (stuff along the lines of naming and writing) and I realized that I spend way too much time naming intervals. I ended up doing about 40-50 of them today and it took me about an hour and a half. This was due to the fact that I went through the entire process each time. First, I'd give the interval a numerical name. Second, I would think about whether the interval was major or perfect. And if it wasn't, what accidental would fix it? Third, I would name it. Then I noticed that I could easily use the circle of fifths to my advantage in this scenario. For example, instead of thinking which accidental would make a note major or perfect in it's key, I could simply glance at the circle and count out the sharps or flats. It was that simple. I don't know why i felt the need to express this, but i did. I hope it benefits some of you. 

sk