I always found it kinda annoying with the Scarecrow songs, so I just went with something simple and easy to remember. Mainly cause I started getting really confused by the other songs when I started getting more. I typically did like the thread starter with ^ > v < ^ > v < but by Majora's Mask I learned I could get away with an even simpler < > < > < > < > because that's a lot faster.
The Scarecrow Song was kind of random for the game, but I liked all the secrets it could open up.
My OoT one was: >>>>>>>>
Yeah, I know how simplistic that one was...
My MM one was: A^><><><
Basically a modified Minuet of Forest.
Mine was ^ V > < ^ V > < (North South East West North South East West). I figured it would be easy to remember since trying to remember left/right tends to screw me up so I figured I'd remember it using cardinal directions. Ironically, I still get the left and right notes mixed up occasionally.
Mine is ^ > ^ > A < ^ A.
Original I guess, but it sounds awful due to the fact that I was unaware at the time of recording that I needed to play it fast. So now it is all slow and dumb-sounding.
I've always just used Oath to Order with a few repeating notes at the end to fill in the last few spaces. Yeah, not very original, but it's one of my favourite ocarina songs, even if I have to repeat it at the end just to fill in the remaining notes.
Of course, I've attempted to use other MM songs too, rarely anything else so I wouldn't have to memorize something over, though.