By combining bulk properties, neutron diffraction and non-resonant X-ray diffraction measurements, we demonstrate that the new multiferroic Cu3Nb2O8 becomes polar simultaneously with the appearance of generalised helicoidal magnetic ordering. The electrical polarization is oriented perpendicularly to the common plane of rotation of the spins -an observation that cannot be reconciled with the "conventional" theory developed for cycloidal multiferroics. Our results are consistent with coupling between a macroscopic structural rotation, which is allowed in the paramagnetic group, and magnetically-induced structural chirality. [5] are cycloidal multiferroics, so called because their magnetic structures can be described as incommensurate circular (or elliptical) modulations with the wavevectors in the plane of rotation of the spins. In cycloidal multiferroics, the non-collinear magnetic configuration itself is established by the competition between nearest and next-nearest neighbor interactions. The coupling to the crystal structure occurs through the spin-orbit interaction, making it energetically favorable to develop local Dzyaloshinskii-Moriya (DM) vectors, associated with a local polarization. In simple, high-symmetry cases, the electrical polarization is perpendicular both to the magnetic propagation vector and to the normal to the plane of rotation of the spins, since the following formula holds [6]: P = λk m × (s 1 × s 2 ), where s 1 and s 2 are two adjacent spins along the propagation direction k m and λ is a coupling constant. In more complex, lower symmetry cases, the electrical polarization need not be perpendicular to the propagation vector, which, in turn, need not be contained in the plane of rotation of the spins (generic helicoidal structures). However, it is a strong prediction of the cycloidal multiferroics model that if all the spins rotate in a common plane, then the electrical polarization must be strictly contained within that plane.In this letter, we present a new multiferroic, with chemical formula Cu 3 Nb 2 O 8 and centrosymmetric triclinic symmetry (space group P1) in the paramagnetic phase. Using magnetic neutron powder diffraction, magnetic susceptibility, heat capacity, electrical polarization and non-resonant X-ray magnetic scattering measurements, we show that Cu 3 Nb 2 O 8 orders magnetically at T N ∼ 26 K, and develops an electrical polarization below a second magnetic transition at T 2 ∼ 24 K. In the polar phase below T 2 , a coplanar helicoidal magnetic structure is stabilized with propagation vector k m = (0.4876, 0.2813, 0.2029) in a general direction in reciprocal space. Strikingly, the electrical polarization in Cu 3 Nb 2 O 8 (with a magnitude of 17.8 µCm −2 ) is almost exactly perpendicular to the plane of rotation of the spins, in clear contradiction with the predictions of the cycloidal multiferroics model. We conclude that the electrical polarization in Cu 3 Nb 2 O 8 must arise through coupling of the chiral component of the magnetic structure with the crystal structure, ra...