A multilayer high field dipole magnet has been designed for future particle accelerators. The magnet has eight layers of a $\hbox{Nb}_{3}\hbox{Sn}$ outsert coil and four layers of a Bi-2212 insert coil (see <xref ref-type="fig" rid="fig1">Figs. 1</xref> and <xref ref-type="fig" rid="fig2">2</xref>). The layers are graded, delivering a short-sample field of 17.7 T in a 40-mm bore. The coil layers are of a canted cosine–theta design—with ribs and spars that guide and support the coil windings, shape the field, intercept Lorentz forces, and minimize conductor prestress. We present a general overview of the concept and report on the magnetic and mechanical design including an initial cost estimate and construction plan.