Horological oscillator comprising: - a first inertial body (141; 151; 1305; 1405; 1505; 301; 311; 314; 41; 51; 507; 529; 544; 541; 901; 903) arranged to rotate with respect to a first axis; - a second inertial body (143; 153; 1306; 1406; 1506; 302; 313; 316; 42; 52; 509; 531; 546; 543; 902; 904) arranged to rotate with respect to a second axis parallel to said first axis; - at least one elastic element (144, 155, 156, 157; 154, 155, 156, 157; 1319, 1320, 1321, 1322; 1419, 1420, 1421, 1422; 1501, 1502, 1503, 1504, 1507; 305, 306; 317, 318, 319, 320; 321, 322, 323, 324; 43, 44, 45, 46; 53, 54, 55, 56; 501, 502, 503, 504, 505, 506; 521, 522, 523, 524, 525, 526, 527, 528; 551, 552, 553, 554, 555, 556, 547, 548, 549, 550, 557, 558, 559, 560; 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935) arranged to apply a restoring torque to at least one of said inertial bodies so as to urge said inertial body towards a neutral position. According to the invention, the oscillator further comprises: - a substantially rigid coupler link (142; 152; 1307; 1407; 1507; 307; 312; 315; 47; 57; 508; 530; 545; 542; 745; 746; 800; 810; 922; 951) attached at a first pivot point to said first inertial body (141; 151; 1305; 1405; 1505; 301; 311; 314; 41; 51; 507; 529; 544; 541; 901; 903) and at a second pivot point to said second inertial body such that said inertial bodies are arranged to rotate synchronously about their respective axes, wherein said substantially rigid coupler link (142; 152; 1307; 1407; 1507; 307; 312; 315; 47; 57; 508; 530; 545; 542; 745; 746; 800; 810; 922; 951) comprises a bar or rod and is arranged to transmit force between said first inertial body (141; 151; 1305; 1405; 1505; 301; 311; 314; 41; 51; 507; 529; 544; 541; 901; 903) and said second inertial body (143; 153; 1306; 1406; 1506; 302; 313; 316; 42; 52; 509; 531; 546; 543; 902; 904) according to a vector substantially aligned along an axis (λ2) joining the first and second pivot points.