The article explores the potential of canted spin order in antiferromagnets for ultrafast conversion of magnons, a key component in magnonics. Canted antiferromagnets, which exhibit both antiferromagnetic order and ferromagnetic-like phenomena, are identified as a new class of materials called altern magnets. These materials are predicted to have strong magneto-optical effects, terahertz-frequency spin dynamics, and degeneracy lifting for chiral spin waves. The study demonstrates that the unique properties of canted antiferromagnets, particularly orthoferrites, enable a new mechanism for nonlinear interaction between magnons, facilitated by an ultrafast laser pulse. This mechanism allows for the conversion of a magnon at the center of the Brillouin zone into propagating magnons. The experimental findings, supported by theoretical analysis, show that this conversion is enabled by the spin canting in these materials. The research highlights the potential of canted spin order in altern magnets for advanced magnonic logic devices operating at terahertz frequencies.The article explores the potential of canted spin order in antiferromagnets for ultrafast conversion of magnons, a key component in magnonics. Canted antiferromagnets, which exhibit both antiferromagnetic order and ferromagnetic-like phenomena, are identified as a new class of materials called altern magnets. These materials are predicted to have strong magneto-optical effects, terahertz-frequency spin dynamics, and degeneracy lifting for chiral spin waves. The study demonstrates that the unique properties of canted antiferromagnets, particularly orthoferrites, enable a new mechanism for nonlinear interaction between magnons, facilitated by an ultrafast laser pulse. This mechanism allows for the conversion of a magnon at the center of the Brillouin zone into propagating magnons. The experimental findings, supported by theoretical analysis, show that this conversion is enabled by the spin canting in these materials. The research highlights the potential of canted spin order in altern magnets for advanced magnonic logic devices operating at terahertz frequencies.