Just adding a few things which may be of interest.
First of all, decide what the sword's intended use is. I don't mean practice vs "combat use", I mean the balance of cutting-thrusting-slicing. I don't care for the users intents with the sharpened sword here.
Second, decide what materials it'll face. Clothes and flesh? Leather? Thick cotton? Thick and hardened leather? Mail? Plate armour? A combination of these?
Third, keep the used material and heat-treat in mind.
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Thrusting needs a stiff, narrow blade regardless of material faced. The opposing material has effects on the required heat treatment, basically the softer the material gets, the more rigidity can be allowed. Edges here should be kept as sharp as possible to aid deepest possible penetration, but the acuteness of the edge is less needed as we progress towards the quillons. This helps achieving a blade safer to grab while halfswording.
Slicing needs a very acute edge, the lower the edge degree is, the better. Blade rigidity is good to have, but not as much of a must as with thrusting. Best way to make a good slicing blade is hollow-grinding. This gives good stiffness and a possibility of a very acute edge. Trivially slicing can only be done against non-metal materials, and here as well, the softer the material gets, the harder the blade should be.
Cutting is the most varied. As basic cutting uses the concept of big force on a very small surface, even an almost blunt edge would do. Basically.

More acute edges will bite more easily, but will damage just as easy. Cutters need a thin cross-section at the part used for cutting for less resistance while travelling in a material. Edges may vary from 60 degrees
(for hewing against mail) to 20 degrees.
(clearly these are for cleaving through unarmoured opponents)
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As you all might know, a sword was used for more than one role, so these must be balanced well for the task. For example, if your sword would face maximally mail armour, it should have a wide, thin blade with a relatively high edge degree. If you might encounter plate-armoured opponents but still having the chance of encountering unarmoured opponents, you'd need a stiff but wide blade with considerable profile taper, preferably with a medial ridge or a hollow-ground blade, thus you can thrust against the gaps of the plate armour while being able to amputate limbs.
This is just a very basic amount of samples. The variations change with the swordsman's needs and abilities, actual fashion, and so on.