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The prospects for future high-power proton beams for producing neutrinos at CERN within the LAGUNA-LBNO study, include the design of a 2 MW High-Power Pro- ton Synchrotron (HP-PS). In this paper, the optics design of the ring is reviewed, comprising Negative Momentum Compaction (NMC) arc cells and quadrupole triplet long straight sections, flexible enough to achieve the constraints imposed mainly by different beam transfer equipment and processes. A global tunability study is undertaken includ-doi:10.18429/jacow-ipac2014-thpme068 fatcat:xkzbga4eongwrby6l2up3h4y4e