An assembly (10), in particular fora timepiece, including a rotary wheel and a bearing, like a jewel (20), the rotary wheel being provided with at least one pivot (17) including at least partly a non-magnetic material, preferably entirely, the bearing including a face (6) provided with a hole (8) formed in the body of the bearing and with a functional geometry at the entrance of the hole (8), wherein the functional geometry has the shape of a cone (12), and wherein the non-magnetic material of the pivot (17) includes an alloy to be chosen from materials containing copper, materials containing palladium or materials containing aluminium.

A rotary wheel set system of a horological movement with a rotary wheel set, a first and a second bearing, for a first and a second pivot of the arbor of the rotary wheel set, the wheel set including a mass center in a position of its arbor, the first bearing including an endstone including a main body equipped with a pyramidal cavity configured to receive the first pivot of the arbor of the rotary wheel set, the cavity having at least three faces giving its pyramidal shape, the first pivot being capable of cooperating with the cavity of the endstone to rotate in the cavity, at least one contact zone between the first pivot and a face being generated, the normal at the contact zone or zones forming a contact angle (α.sub.h) relating to the plane perpendicular to the arbor of the pivot, wherein the contact angle (α.sub.h) is less than 45°.

A rotary wheel set system of a horological movement with a rotary wheel set a first and a second bearing for a first and a second pivot of the arbor of the rotary wheel set, the wheel set including a mass center in a position of its arbor, the first bearing including an endstone including a main body equipped with a conical cavity configured to receive the first pivot of the arbor of the rotary wheel set, the first pivot being capable of cooperating with the cavity of the endstone to rotate in the cavity, at least one contact zone between the first pivot and the cavity being generated, the normals of the contact zone forming a minimum contact angle relating to the plane perpendicular to the arbor of the pivot, the minimum contact angle being less than or equal to 30°, preferably less than or equal to arctan (½)

A rotary wheel set system of a horological movement with a rotary wheel set, a first and a second bearing, for a first and a second pivot of the arbor of the rotary wheel set, the wheel set including a mass center in a position of its arbor, the first bearing including an endstone including a main body equipped with a pyramidal cavity configured to receive the first pivot of the arbor of the rotary wheel set, the cavity having at least three faces giving its pyramidal shape, the first pivot being capable of cooperating with the cavity of the endstone to rotate in the cavity, at least one contact zone between the first pivot and a face being generated, the normal at the contact zone or zones forming a contact angle (.sub.h) relating to the plane perpendicular to the arbor of the pivot, wherein the contact angle (.sub.h) is less than 45.

A rotary wheel set system of a horological movement with a rotary wheel set a first and a second bearing for a first and a second pivot of the arbor of the rotary wheel set, the wheel set including a mass center in a position of its arbor, the first bearing including an endstone including a main body equipped with a conical cavity configured to receive the first pivot of the arbor of the rotary wheel set, the first pivot being capable of cooperating with the cavity of the endstone to rotate in the cavity, at least one contact zone between the first pivot and the cavity being generated, the normals of the contact zone forming a minimum contact angle relating to the plane perpendicular to the arbor of the pivot, the minimum contact angle being less than or equal to 30, preferably less than or equal to arctan ().