Cutting Edge and Plume Edge

Cutting Edge (プレッシャーエッジ, Pressure Edge) and Plume Edge (プルームエッジ, Plume Edge) are related Mercury Psynergies featured throughout the Golden Sun series that are functionally identical but have different levels of power.

Basic Description
Cutting Edge and Plume Edge are offensive, single-target Psynergies that are Attack-dependent, meaning characters with higher Attack ratings will deal more damage with these attacks. In addition, the caster's Mercury Power and the target's Defense and Mercury Resistance all factor into the damage dealt.

Visually, Cutting Edge features a watery shockwave being fired at the target as the caster swings their weapon. Plume Edge features a geyser erupting from underneath the target. Once the target is suspended on top of the geyser, the caster then strikes the target with their weapon.

Damage Calculation
Elemental physical attacks such as Cutting Edge and Plume Edge use the damage dealt by the attacker's standard physical attack as the base damage to be later modified. The total amount of damage dealt by a normal physical attack is half the difference between the attacker's Attack statistic and the target's Defense statistic, as this equation shows:


 * base damage = (User's Attack - Enemy's Defense) / 2

Cutting Edge's attack takes this base damage value and uses it in the following equation:


 * final damage = (base damage + bonus damage) * (1 + (User's Mercury Power - Enemy's Mercury Resistance) / 400)

To word this in prose, Cutting Edge and Plume Edge take the base damage of the user's normal physical attack, add a set amount of bonus damage to that, and then this result is modified by how much higher or lower the user's Mercury Power is than the target's Mercury Resistance. The difference between the user's Mercury Power and the target's Mercury Resistance is divided by 400, then 1 is added to this, resulting in what can be called the "elemental damage multiplier". This number is what the Psynergies' damage is multiplied by.

For example, if an Adept with an Attack rating of 300 and a Mercury Power of 150 casts Cutting Edge on a monster with a defense of 100 and a Mercury Resistance of 50:
 * damage = ((Attack - Defense) / 2 + bonus damage) * (1 + (Power - Resistance) / 400)
 * damage = ((300 - 100) / 2 + 32) * (1 + (150 - 50) / 400)
 * damage = ( / 2 + 32) * (1 + / 400)
 * damage = ( + 32) * (1 + )
 * damage = *
 * damage = 165

Therefore, a Cutting Edge cast under these circumstances would deal 165 points of damage.

Availability
Cutting Edge and Plume Edge are available to the Swordsman (Venus) class series, the Swordsman (Mars) class series, and the Dragoon class series. Thus, only Jupiter Adepts are unable to access the series. Venus and Mars Adepts typically require large amounts of Mercury Djinn to access these classes, while Mercury Adepts can use either Venus or Mars Djinn.

Both Cutting Edge and Plume Edge are learned at Level 11. However, only Cutting Edge is available at first: Many Psynergies are only available to the more advanced versions of a class, and Plume Edge is no exception. What separates Cutting Edge and Plume Edge from most Psynergies is that Plume Edge replaces Cutting Edge. To access Plume Edge the Adept in question must have reached the Guardian and Protector stages of the Venus Swordsman class series, the Luminier and Radiant stages of the Mars Swordsman class, and the Templar and Paladin stages of the Dragoon classes.

It should be noted that Plume Edge was not introduced until The Lost Age, and thus will not be learned in Golden Sun, even if the Adept is in the required class.

Analysis
General: Cutting Edge's damage output is roughly the same as other elemental physical attack Psynergies like Heat Wave and Ragnarok, but is slightly lower due to a lesser amount of added damage. Cutting Edge is roughly on-par with a mid-game Unleash (with the main difference of costing Psynergy Points instead of activating at random) and is more valuable the earlier it is acquired. Plume Edge on the other hand, is much weaker than comparable Psynergies such as Odyssey and Liquefier. However, the pair have slightly lower PP costs in relation. For the two Swordsman classes, Cutting Edge and Plume Edge are the only offenses Mercury Psynergies available, making them the offense of choice for those classes.

By Game
Golden Sun: While Cutting Edge under performs relative to Planet Diver, it remains a valuable technique in the early stages of the game due to the higher PP rating and overall utility of the Swordsman class series compared to the Brute class series. If the player is leveled up enough for it to be available, it can help make short work of Saturos at Mercury Lighthouse. As Isaac will receive a Mercury-based artifact weapon, the Arctic Blade, at roughly the same time that Cutting Edge and Planet Diver become available, Cutting Edge becomes a useful attack from this point until the end of Lamakan Desert, particularly against the Mars-based enemies found in the desert.

Golden Sun: The Lost Age: Due to an unequal Djinn distribution early on, Jenna is a viable Swordsman candidate to give her early access to Ply and make use of her Pirate's Sword - when not healing, Cutting Edge becomes her most valuable offense. Against enemies resistant to Mercury, however, Cutting Edge loses much of its luster, and should be ignored in favor of a Venus or Mars Psynergy, if not a regular attack. Once Piers joins the party, Cutting Edge and Plume Edge are outclassed by his Diamond Dust and Diamond Berg Psynergies. Combined with a lack of Mercury-weak enemies in general, Cutting Edge and Plume Edge will see little use.

Golden Sun: Dark Dawn: Cutting Edge's most likely use will be against the Sand Prince in Ayuthay, as there are few major bosses weak against Mercury. Tyrell can make decent use of Cutting Edge, as otherwise his Mars Psynergies would have little effect on the Sand Prince. After this point, Amiti's Diamond Dust and Diamond Berg Psynergies are generally a better option, due to the limitations of the Swordsman class.