(NO. The new pre-hardmore ores are considered alternate ores to the pre 1.2 ones, so their tiers are respective to themselves/equal to the original ores in tie. You don't see pages saying "Iron Ore is one tier above Tin Ore and one below Tungsten Ore")
Tungsten Ore is the third tier of alt ores. It is a material added in 1.2. It is used to craft various weapons, tools, and armor. It is found mainly underground, and more rarely above-ground. When a new world is generated, there is a chance that it will generate instead of Silver Ore. Tungten is one tier below Platinum and one tier above Lead.