The present invention relates to a family of white clinker compositions with a high capacity to fix sulfur derived from a high sulfur content pet-coke used as fuel in the manufacture thereof, which further exhibits low fuel composition and fast setting, achieved by being comprised of the following amounts of clinker phases in percentage by weight: 3CaO.SiO₂ (C₃S): 40 to 75, 2CaO.SiO₂ (C₂S): 10 to 35, 3CaO.Al₂O₃ (C₃A): 0 to 15, CaO.SO₃ (CS): 0 to 10, 4CaO.3Al₂O₃.SO₃ (C₄A₃{hacek over (S)}): 2 to 15, 11CaO.7Al₂O₃.CaF₂ (C₁₁A₇.CaF₂): 0 to 5, total % CaF₂: 0.3 to 1.5 measured as CaF₂, % Fe₂O₃: 0 to 0.5 and a SO₃ content between 1.5 to 5% by weight obtained through the calcination of a raw meal containing CaO, SiO₂, Al₂O₃, and CaF₂, using as fuel, pet-coke with a sulfur content higher than 5% and at temperatures between 2192 and 2462 F., without the addition of essentially additive containing SO3 in the raw meal.