Congratulations, you got the War Rapier! (aka Side Sword)
The War Rapier is a weapon of far too many names. Many modern people call it "Side Sword" or "Cut and Thrust Sword" - which are useful as modern terms, but such names are vague, describe almost any sword, and were not used historically. This weapon was usually just called "sword" in its era since it was the most common type of sword in the Renaissance. It was sometimes called Reitschwert, Ritterdegen, or Ritterschwert in Germany (meaning cavalry sword, knightly rapier, or knightly sword).
It is a weapon somewhere between the classic medieval knightly arming sword and the long, civilian rapier, yet it was not a mere transitional weapon. It co-existed with the long, civilian rapier and outlasted it. Weapons with the same blade design (though admittedly different hilts) continued in military use throughout the modern era. They were especially popular amongst heavy cavalry, but saw plenty of use amongst infantry as well. It is a close cousin to the Walloon Sword, Mortuary Sword, Scottish Basket Hilt Broadsword, Spadroon, and US General George S. Patton's sword.
These weapons often favored the thrust over the cut, but could still cut very well. They had fairly long blades - typically ranging from 31 inches to 38 inches in length. They were elegant weapons with a suitably elegant fencing style. With great hand protection and such a versatile and nimble blade, it's no wonder they were so popular!
The War Rapier has few weaknesses as it is a well-rounded weapon. It was often used with off-hand weapons such as a dagger, gauntlet, cloak, buckler, shield, pistol, or another sword.
The War Rapier was taught by many masters, including Achille Marozzo, Antonio Manciolino, Camillo Paladini, Henri de Sainct Didier, Domingo Luis Godinho, Joachim Meyer, Jakob Sutor von Baden, Michael Hundt, Giacomo Di Grassi, Camillo Agrippa, and Paulus Hector Mair.
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