Cool Psynergy series

Cool (クール, Cool), Supercool (パーキィクール, Perky Cool), and Megacool (バイオレントクール, Violent Cool) are a series of offensive Mercury Psynergy introduced in Golden Sun: The Lost Age.

Basic Characteristics
Cool, Supercool, and Megacool are offensive, ranged Psynergies. The total damage inflicted is determined by comparing the caster's Mercury Power to the target's Mercury Resistance and using this number to modify the base power of the particular Psynergy in use.

The visual effects of the Cool series vary between game appearances. In The Lost Age, each stage of the Cool series features a group of criss-crossing icy stalagmites that erupt from the ground in rapid succession to strike the enemies. The size and number of stalagmites increases with each successive stage.

In Dark Dawn, each stage is more distinctive. Cool features two small stalagmites erupting from an icy field, followed by one larger stalagmite. Supercool is similar, but features four small stalagmites surrounding a large stalagmite that from a larger icy patch. Megacool features six smaller stalagmites erupting in a circle around a larger central stalagmite. The relative size and scale of the stalagmites increases with each progressive stage.

Damage Calculation
Elemental Power attacks such as Cool, Supercool, and Megacool use a set base power as the base damage to be modified. For example, the base power of Megacool is 180. Thus, an unmodified Megacool would do around 180 points of damage.

Attacks from each stage of the Cool series take this base damage value and uses it in the following equation:


 * final damage = (base damage) * (1 + (User's Mercury Power - Enemy's Mercury Resistance) / 200)

To word this in prose, Cool, Supercool, and Megacool take the base damage of the particular attack, and then modify it 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 then divided by 200, 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 a Mercury Power of 150 casts Megacool on a monster with a Mercury Resistance of 50:
 * damage = (base damage) * (1 + (Power - Resistance) / 200)
 * damage = (180) * (1 + (150 - 50) / 200)
 * damage = * (1 +  / 200)
 * damage = (180) * (1 + )
 * damage = 180 *
 * damage = 270

Therefore, a Megacool cast under these circumstances would deal 180 points of damage to the targeted enemy. Since Megacool is a ranged Psynergy, adjacent targets take a percentage of the total damage, with the percentage decreasing as distance from the main target increases.

Availability
The Cool series is available to the Mariner class series and Aqua Squire class series, which are Mercury-based mono-elemental classes that serve as the base classes of the Mercury Adepts Piers and Amiti, respectively. Piers and Amiti can only enter these classes when they have no Djinn or only Mercury Djinn Set to them. Both classes learn Cool at Level 4, Supercool at Level 21, and Megacool at Level 48.

Analysis
General: In terms of overall power, the Cool series features the some of the strongest the Power-based Mercury Psynergies, with Megacool being second in power to Freeze Prism. Thus, the series features a great deal of offensive power, and is an excellent option for attacking Mercury-weak enemies. The series can be said to possess a relationship to the Douse/Frost series that is often compared to the relationship between the Wind Seer class's Ray and Plasma, with Frost/Douse being weaker and more efficient, and the Cool series being more expensive but also more powerful. Megacool also has the distinction of possessing the widest range of any offensive Mercury Psynergy, allowing a great deal of flexibility in random battles against multiple opponents.

By Game
Golden Sun: The Lost Age: Piers will already know Cool when he joins the party, and will be learn Supercool shortly after. Due to the lack of Mercury-weak monsters at this point, Supercool will have few chances to shine. However, once Megacool is learned, it becomes an excellent tool at Mars Lighthouse, where a number of Mercury-weak monsters reside. However, its use can be limited by Piers's lower PP pool, as Megacool costs a whopping 33 PP.

Golden Sun: Dark Dawn: The Cool series is one of Amiti's strongest options. As before, there are few Mercury-weak monsters to take advantage of. However, the series is an excellent option to soften up other opponents. Like Piers, Amiti suffers from a low PP pool. However, unlike Piers, he can access several pieces of equipment that, when put together, increases Amiti's Mercury Power to its maximum. This effectively doubles the power of the series, allowing Amiti to get more mileage out of each cast.