Kanji Confusion - Reading/Writing

I didn't do much with Japanese today.
I did run into a bit of confusion with some kanji today,

and I'm trying to set some things straight.

the kanji for "to read", "to write", "writings", etc. have me all scrambled.

ok...

to read is
読む - yomu

to write is
書く - kaku

but, to write down (for the purpose of being remembered)...
to write down is 記す - shirusu

to write down/ compose (song/poem) is
詠む - also yomu !!!

so...
write=yomu
write down=shirusu
compose=yomu
read=yomu

confused? I am... but writing all this down has helped.