The search for the mechanisms of high-temperature superconductivity and novel superconducting materials are the most challenging tasks of condensed-matter physicists as well as material scientists [1–3]. The yttrium barium copper oxide (YBCO) YBa2Cu3O7 or CuBa2YCu2O7, often called “Y-123” or “Cu-1212” superconducting compound, is the first member of the homologous series of compounds of general formula Y2Ba4Cu6+nO14+n (n = 0, 1, 2). Cu-1212 phase exhibits a highest superconducting transition temperature (TC) inside YBCO family, at around 90–92 K, and till now remains the most extensively studied high-TC superconductor [4–8]. By the analogy to the Hg-based cuprates [9], we have tried to introduce additional CaO layers to the structure of CuBa2YCu2O7−δ (Cu-1212 or Cu-12102) superconductor. The purpose of the present work was to prepare new superconducting phases using the sol–gel synthesis method: (a) having a single layer of CaO between two CuO2 sheets with the nominal composition of CuBa2YCaCu3O9−δ (Cu–12113), and (b) having two CaO layers between triple CuO layers with the composition of CuBa2YCa2Cu4O11−δ (Cu–12124). The results of this study are presented herein. CuBa2YCaCu3O9−δ and CuBa2YCa2Cu4O11−δ samples were prepared by an acetate-tartrate sol–gel method developed previously for the synthesis of pure YBa2Cu4O8 superconductor [10]. As starting compounds stoichiometric amounts of analytical grade Y2O3, Cu(CH3COO)2·H2O, Ba(CH3COO)2 and Ca(CH3COO)2·H2O were used. In the sol–gel process, Y2O3 was first dissolved in 0.2 M acetic acid solution by stirring at 55–60 ◦C. After stirring the mixture for 10 hr in a beaker covered with a watch-glass a clear solution was obtained. In the next step, mixtures of the appropriate amounts of Ba(CH3COO)2, Ca(CH3COO)2·H2O, and Cu(CH3COO)2·H2O, all of them dissolved in small amounts of distilled water, were added with continuous stirring during several hours at the same temperature. An