Last updated: July 2026
Universal Tower Defense Z Pity Calculator
Universal Tower Defense Z pity calculator for July 2026. Estimate banner pulls and trait reroll costs.
How Pity Works
Universal Tower Defense Z banners feature soft and hard pity for featured units like Merciless God and Blanco Beast. Trait rerolls use separate probability tables—Ruler at 0.1%, Eternal at 0.2%, Sacred at 0.3%. The pity calculator models expected pulls and rerolls to hit targets with statistical confidence intervals.
Codes dramatically shift trait math—500 rerolls from UniversalDelayDefense! code changes Ruler odds substantially. Input your current reroll stock plus planned code redemptions.
Using the Calculator
Select banner type (standard, festival, trait). Enter current pity counter from in-game banner UI. Set target (featured unit, Ruler trait, etc.). Output shows median pulls and 90th percentile—budget for 90th if you are risk-averse.
For gems: convert pulls to gem cost using banner price per pull. Compare gem cost against Infinite farming rate from Gem Farming Blitz guide.
Strategic Tips
Never pull without checking active codes first—Summer2026! and similar codes add rerolls that replace gem spending. Save Ruler Tickets for units you will keep endgame; calculator shows reroll equivalence so you do not waste tickets on low-value units.
Summon Pity Estimator
Frequently Asked Questions
Ruler pity exists?
No hard pity on traits—use Ruler Tickets for guaranteed attempts.
Banner pity carries?
Usually same banner series only—read in-game fine print.
Include free pulls?
Yes—add daily tickets and event tickets to calculator input.
Accurate rates?
Based on disclosed rates and community data as of July 2026.
Trait vs unit pity?
Separate systems—calculate independently.