Nature abhors disorder and degeneracy at low temperature. Designing materials that confront this requirement can therefore lead to new states in which the degeneracy is lifted. Geometric magnetic frustration provides a means of creating the initial degeneracy when equal interactions from different atomic neighbours try to align moments in opposite directions. In our work this competition acts on chains of moments rather than single atoms. We have found a novel modulation along the chains, incommensurate with the crystal lattice, in which the magnitude of the ordered moments (rather than direction) is modulated. Although part of the degeneracy is removed the magnetic structure still contains zero and reduced value moments, even at mK temperatures, manifesting a linear electrical resistivity to 350 mK. The proposal is to look at the excitations present to build a better understanding.