Double concerto Piano, and Timpani" is commonly known by the title "Double Concerto," where the word "double" refers to the two string bodies rather than to the piano and timpani who are not soloists in the conventional sense. Concerti with more than two solo parts may be known by the terms "triple concerto" (Italian: "Concerto triplo", German: "Tripelkonzert"), "quadruple concerto," etc., but not usually when the instruments of the same type (e.g., Vivaldi's Concerto for Four Violins in B minor, catalogued as RV 580 and transcribed for four harpsichords by Bach as BWV 1065). One common arrangement for a triple concerto is
Quadruple-precision floating-point format implement nearly quadruple precision using "pairs" of double-precision values is sometimes called double-double arithmetic. Using pairs of IEEE double-precision values with 53-bit significands, double-double arithmetic can represent operations with at least a 2×53=106-bit significand (actually 107 bits except for some of the largest values, due to the limited exponent range), only slightly less precise than the 113-bit significand of IEEE binary128 quadruple precision. The range of a double-double remains essentially the same as the double-precision format because the exponent has still 11 bits, significantly lower than the 15-bit exponent of IEEE quadruple precision (a range of for double-double versus for