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Cost: 1450 (2850) 
+125 Magical Power
+10% Magical Penetration
+30 MP5
PASSIVE - Basic Attacks and Abilities gain 15% additional Magical Power against targets below 60% Health.
Cost: 3000
+70 Intelligence
+250 Max Mana
+2 Mana Regen
+5% Penetration
Passive: Gain additional Intelligence equal to 20% of your Intelligence from items.
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Below explains how
Original Reddit post: https://www.reddit.com/r/Smite/comments/8cmtgg/all_rod_of_tahuti_interactions_with_dot_damage/
HiRezPonPon's response: https://www.reddit.com/r/Smite/comments/8cmtgg/all_rod_of_tahuti_interactions_with_dot_damage/dxggrug/
From HiRezPonPon's response (with parapharasing and formatting adjustments by me):
- Immediate Damage (e.g.
Scylla's 
Crush)
- Pulsing Damage (aka Ticking Damage) (e.g.
Anubis' 
Grasping Hands)
- Damage Over Time (aka DoT) (
Zhong Kui's 
Expose Evil).
Immediate Damage and Pulsing Damage are applying Rod of Tahuti passive correctly because they update on each time they hit, because each time it hits it is considered a unique instance of damage. Damage over Times are an initial hit that stores that information and does the rest of the damage according to the initial stats it had when it hit."It's obviously clear that a single instance of damage (any single-hit ability) will apply the passive according to the health state of the enemy at the time they're hit.
The difference that needs to be understood is between ticking (pulsing) damage and DoTs. Ticking damage is something that only applies while the enemy is in range of the ability. Using PonPon's example of
DoTs, on the other hand, apply a set amount of damage once you're hit the first time, and so the total damage is just extended over a certain period of time. In these instances, then, if the enemy is hit by a DoT while above 50% health, Tahuti's passive power boost won't apply throughout the damage application. Other examples of DoTs besides
One distinction of abilities that seem like they are DoTs (but I'm guessing are Pulsing/Ticking), would be abilities such as
Im thinking: