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Melt 1 TBSP butter in a small pot over medium-high heat. Add half the sesame seeds and toast, stirring constantly, until fragrant and lightly golden, 30 seconds to 1 minute. Stir in rice, 1¼ cups water (2¼ cups for 4 servings), and a pinch of salt. Bring to a boil, then cover and reduce to a gentle simmer. Cook until water has absorbed and rice is tender, about 15 minutes. Turn off heat; keep covered until ready to serve.