I've been running through a lot of math related to SMN/SCH recently and I wanted to bring it together into a single thread of it's own to make it more visible and useful. Everything below will be considered using our Archetypal SMN/SCH. He (or she) is naked, level 75, and has no notable merits. We'll call him "AnySMN".
Potency of Elemental Siphon (2.41MP/Tick Refresh Equivalent)
Potency of Elemental Siphon (2.41MP/Tick Refresh Equivalent)
AnySMN has 269 Summoning Skill. The (beta) formula for Elemental Siphon from wiki is (Summoning Skill-50)x(Bonus%): 269-50 * 1.10 = 241mp per use every 5 minutes (300 seconds). That's Refresh Equivalent of 241/300*3 = 2.41 MP/Tick.
Potency of Sublimation (1.56MP/Tick RE)AnySMN has about 890mp. He gets 890 * 0.25 = 222mp from sublimation at a rate of 2mp/tick or 333 seconds and has to cast Regen II (33mp) to fix it and we have a 30 second wait in between uses of Sublimation so that's 189mp/363 seconds = 0.521mp/sec (1.56mp/tick).
Potency of Resting (13.75MP/Tick RE)In the example in a previous thread, I used a lot of +hMP gear. This time, I'll go with this more modest setup. For Resting, we'll give AnySMN some resting gear.
Clear Mind V (base): 27
Dark Staff: +10
Errant Houppelande: +5
Hierarch Belt: +2
Wizard Cookie: +7
That's a respectable, easily obtainable +hMP set that AnySMN can get on his meager budget. It gives him 27+10+5+2+7 = 51MP base healing tick. On a 5-tick rest cycle (60 seconds), we will get 51+53+55+57+59 = 275MP or 275/60*3 = 13.75 MP/Tick Refresh Equivalent.
The Flip-Flop Sublimation/Resting Cycle (3.54 MP/Tick RE)Clear Mind V (base): 27
Dark Staff: +10
Errant Houppelande: +5
Hierarch Belt: +2
Wizard Cookie: +7
That's a respectable, easily obtainable +hMP set that AnySMN can get on his meager budget. It gives him 27+10+5+2+7 = 51MP base healing tick. On a 5-tick rest cycle (60 seconds), we will get 51+53+55+57+59 = 275MP or 275/60*3 = 13.75 MP/Tick Refresh Equivalent.
In order to maximize the potential of Sublimation and Resting, we need to combine them in an efficient way and be able to think about Sublimation in terms of its Rest equivalent. Rest Equivalent is the ratio of their Refresh Equivalents (this can be shown) or 1.56/13.75 = 11.3%. This means that Sublimation which is active while we're not resting if used to it's maximum potential duration (333 seconds) is roughly equal to spending 11.3% of our time resting which is huge. If, AnySMN finds that he has to rest about 25% of his time to keep his mp well stocked, using Sublimation while standing will drop his rest time down to 14%!
Now, we need to consider overlap. Sublimation works by activating it once and letting it drain off your hp. Once you are done draining, you use the ability again and it gives you mp equal to the amount of hp drained (max 25%). The ability has a recast time of 30 seconds which is roughly equivalent to AnySMNs first two rest ticks. Optimally, we'll eat our cookie, release our avatar if any, end Sublimation and start /healing in that order as quickly as possible. This should maximize our rest overlap to around 29 seconds which we can now shave off of our Sublimation Refresh Equivalent ratio making it 189mp/333sec*3 = 1.70MP/Tick getting us an extra 0.14MP/Tick which isn't stellar but it's still something. Our cycle length will be 333 seconds + 60 seconds or 393 seconds. For these 393 seconds, we will get 189MP from Sublimation and 275MP from /healing or 464/393*3 = 3.54MP/Tick Refresh Equivalent.
Obviously, we can consider alternate cycles if we're losing mp like resting for 40 seconds per each 150 second Sublimation cycle. The calculations should be relatively intuitive.
Bringing it all Together Now, we need to consider overlap. Sublimation works by activating it once and letting it drain off your hp. Once you are done draining, you use the ability again and it gives you mp equal to the amount of hp drained (max 25%). The ability has a recast time of 30 seconds which is roughly equivalent to AnySMNs first two rest ticks. Optimally, we'll eat our cookie, release our avatar if any, end Sublimation and start /healing in that order as quickly as possible. This should maximize our rest overlap to around 29 seconds which we can now shave off of our Sublimation Refresh Equivalent ratio making it 189mp/333sec*3 = 1.70MP/Tick getting us an extra 0.14MP/Tick which isn't stellar but it's still something. Our cycle length will be 333 seconds + 60 seconds or 393 seconds. For these 393 seconds, we will get 189MP from Sublimation and 275MP from /healing or 464/393*3 = 3.54MP/Tick Refresh Equivalent.
Obviously, we can consider alternate cycles if we're losing mp like resting for 40 seconds per each 150 second Sublimation cycle. The calculations should be relatively intuitive.
We've got 3.54MP/T from Sublimation/Rest and 2.41MP/T from Siphon. We have Auto-Refresh for another 1MP/T, so that gives us 6.95MP/T naked without any friends.
Now let's look at AnySMN's friend AnyRDM the RDM/WHM and see what his Refresh Equivalent is for comparison. Well, he get's Refresh, 3mp/tick. He has only 572mp, but he can Convert and refill up to 571mp every 10 minutes (600 seconds) or 571/600*3 = 2.855MP/T for a total of 5.86MP/T. He really doesn't get much else, but we can give him the same rest cycle we have so he gets 275/393 = 2.10 more for a total of 7.96MP/T.
Therefore, all other things being equal, AnySMN's overall Refresh Equivalent is only 1mp per tick less than AnyRDMs. Therefore, in terms of MP capacity, SMN/SCH is now almost as energetic as an equivalently geared RDM.
Theoretical ConsequencesNow let's look at AnySMN's friend AnyRDM the RDM/WHM and see what his Refresh Equivalent is for comparison. Well, he get's Refresh, 3mp/tick. He has only 572mp, but he can Convert and refill up to 571mp every 10 minutes (600 seconds) or 571/600*3 = 2.855MP/T for a total of 5.86MP/T. He really doesn't get much else, but we can give him the same rest cycle we have so he gets 275/393 = 2.10 more for a total of 7.96MP/T.
Therefore, all other things being equal, AnySMN's overall Refresh Equivalent is only 1mp per tick less than AnyRDMs. Therefore, in terms of MP capacity, SMN/SCH is now almost as energetic as an equivalently geared RDM.
SMN's overall RE increased by about 4mp/tick as a result of the update.
This increase and the "No-Resting" effect of Sublimation make having an Avatar out at all times during Sublimation perfectly acceptable and quite valuable especially in Carbucle's case with an emergency Healing Ruby II.
Since I'm not a high level SMN, I obviously can't test this practically, but I would love to see results and impressions from some real Summoners.
Pieces of information to benchmark:
- With appropriate gear, at level 75, Fenrir costs 4mp per tick.
- Celestial Avatars cost as little as 5mp per tick.
- Carbuncle still costs only 1mp per tick.
This increase and the "No-Resting" effect of Sublimation make having an Avatar out at all times during Sublimation perfectly acceptable and quite valuable especially in Carbucle's case with an emergency Healing Ruby II.
Since I'm not a high level SMN, I obviously can't test this practically, but I would love to see results and impressions from some real Summoners.
Pieces of information to benchmark:
- Avatar DPS
- Approximate % Rest Time
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