Inspired by the work of dov and Ginneon Thursday I calculated Echoes per Action (EPA) values for converting Winsome Dispossessed Orphans (Orphans) and Ballets to Court of the Wakeful Eye (Court) Boons. As a result of game mechanics, conversion EPA is:
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inversely proportional to the number of Actions required to zail to the Court
proportional to the amount of Tribute taken on each trip to the Court
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To model varying EPA values I created two tables showing EPA for differing amounts of Orphans (4 to 40) and Ballets (7 to 47) and zee travel actions (I assume a ‘fast’ travel time of 25 actions for a London to Court round trip and a ‘slow’ travel time of 40 actions). The model assumes that all statistic-check Actions automatically succeed; failures during the grind will lower EPA.
Results
I summarize the results here, the calculation tables and table notes are available as Google documents.
Number of Orphans = slow-travel EPA to fast-travel EPA
4 = 0.833 to 1.088
8 = 1.211 to 1.460
12 = 1.428 to 1.646
16 = 1.568 to 1.762
20 = 1.666 to 1.838
24 = 1.738 to 1.892
28 = 1.794 to 1.933
32 = 1.838 to 1.965
36 = 1.874 to 1.990
40 = 1.904 to 2.011
Number of Ballets = slow-travel EPA to fast-travel EPA
7 = 1.386 to 1.499
14 = 1.545 to 1.613
20 = 1.67 to 1.668
27 = 1.648 to 1.687
34 = 1.667 to 1.699
40 = 1.687 to 1.714
47 = 1.695 to 1.719
Note: Ballet EPA will vary slightly based on the actual frequency of rare successes received from the Consult the lead’s Opinions action. Additionally, all EPA values are actually slightly higher than shown because item-giving cards are encountered during zailing.
Conclusions
Converting large numbers of Orphans to Tribute to Boons has an excellent EPA; it may be the best non-Fate and a non-card grind in the game (see for example: http://fallenlondon.wikia.com/wiki/Money-Making).
Converting large numbers of Ballets to Tribute to Boons has an EPA comparable to other good EPA grinds such as the Affair of the Box and trading Collections of Curiosities to Tomb Colonists. However, it is action intensive and the EPA is inferior to converting Orphans. Staging Ballets, then, is a good financial choice when pursuing becoming a Poet Laureate; especially if all Tribute created from Ballets in the process of becoming a Poet Laureate is taken to the Court on a single voyage. Once the Poet Laureate position is achieved, the Ballet-to-Boon grind should be abandoned if EPA maximization is the goal.
Questions and Improvements
At what point do these grinds pay off the Echo and Action costs of accessing them? Is there an EPA loss for these grinds resulting from not being in London for significant periods of time? Better estimates of the number of Actions required for roundtrip zailing for each type of ship are needed. Estimates of Echo gain per voyage are needed.