While Edge of Malacol is face up, the normal turn-based action of untapping your creatures is replaced. Those creatures won't untap. Other tapped permanents you control will untap as normal.

Other spells and abilities can untap creatures as normal. In that case, they'll just untap. You won't put any +1/+1 counters on them.

If you untap a creature you control during another player's untap step (perhaps due to Seedborn Muse's ability), that creature will untap normally. You won't put any +1/+1 counters on it.