Hi mate as usually love to say about transmutation here in ladder we have 2 different schools:
1) Many guys believe that for get good stats you must use for mute a char with 71 levels or more and with also good magic luck (no one can say if magic luck affects transmutations)
2) Other guys belive instead that also a character with level 1 without magic luck can get godly items also without using magic luck items.
Here my personal experience

i have mute good items at high level, but also a level 1 i was able to get items with high stats, so i think magic luck and levels can do something but the real difference into transmutation is your personal luck of guy! ^^