The crystal structure of the (Bi_{0.02}Sr_{0.39}Ca_{0.59})_{10}Cu_{17}O_{29} spin-ladder compound was determined from single-crystal X-ray diffraction data. The precursor powder was prepared from stoichiometric amounts of SrCO_{3}, CaCO_{3}, CuO, and Bi_{2}O_{3} by calcination at 820°C for 20 h and pressed to form a rod used for the crystal growth. The travelling-solvent-floating-zone method was applied in an image furnace to grow large single crystals. The composite commensurate structure was solved and refined in space group F222, Pearson symbol oF224, a = 11.340(2), b = 12.829(2), c = 19.441(3) Å, Z = 4. The composite incommensurate structure of the (Bi_{0.02}Sr_{0.39}Ca_{0.59})_{10}Cu_{17}O_{29} compound was solved and refined in the (3+1)-space group F222 (00γ), a = 11.340(2), b = 12.829(2), c_1 = 2.7773(4), c_2 = 3.8882(6) Å, q = 0.7143.
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