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Pull Cost — Transcendents

Gold required to reach each Transcendent star tier, using long-term shard-rate averages.

Inputs

Star cost table

TierShards (per star)Cumulative
0 star100100
1 star40140
2 star80220
3 star120340
4 star160500
5 star300800

Pull constants

Multi-pull modifier (2×/5×)1.130.93 + 0.05·2 + 0.02·5
Rate per 10 pull7.684
Rebate per pull17.7975
Cost per pull (all accounted)972.025
Cost per pull (excluding gold)1,150.00
Cost per shard (all accounted)126.4999
Cost per shard (excluding gold)149.6616

Cost to each star tier

TierAll accountedExcluding goldExcl. gold +15% tolerance
Cost to 0 star11,90014,20016,300
Cost to 1 star16,90020,20023,200
Cost to 2 star27,00032,10037,000
Cost to 3 star42,20050,10057,600
Cost to 4 star62,50074,00085,100
Cost to 5 star100,400118,900136,800
Calculator by @AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA on the Attack on Time Discord.