Scrub the beets, pat them dry and put into a paper bag. Place the bag into the microwave on a microwave-safe plate and cook on high power in 2 minute increments, until tender when pierced with a knife, 10 to 12 minutes total. When cool enough to handle, peel off the skin with a paring knife. Quarter the beets and cut each segment into 1/2-inch wedges. Transfer to a medium bowl.
Coarsely chop the pecans. Toast in a small, dry skillet over medium heat, stirring the pecans around frequently, until very aromatic, but not blackened, about 5 minutes. Remove from the skillet to a bowl to cool.
Juice the orange over a small bowl. Combine 1/4 cup of the orange juice and the maple syrup in the same small skillet. Boil the mixture over medium heat until reduced to a thick syrup (about 2 tablespoons), about 5 minutes. Whisk the mustard into the syrup, remove from the heat and add to the cooked beets. Stir in the pecans and 1 teaspoon of the remaining orange juice. Season with salt and pepper and toss to combine.
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