*I think some people may have done the calculations, so I’ll be doing this just as a thought experiment.*

## Pre-calculation Thoughts

Bagpipe was designed to be a multi-hit DPS, similar to Exusiai. Vigna, on the other hand, was designed to be a burst damage DPS. I figured Bagpipe should easily delete many units better than Vigna provided it's below some enemy DEF threshold.## Assumptions made for the calculations:

- I will assume that Bagpipe have 100% or more trust without potential, and Vigna will have 100% or more trust with maxed out potential. The reason for doing so is the rate of getting Bagpipe compared to Vigna, making Vigna generally much more accessible compared to Bagpipe.
- Both units are at Elite 2 with 35 levels. This effectively makes Bagpipe’s ATK sits at 613 ATK and Vigna’s ATK at 593 (both already included trust and potential bonuses).
- Both units have skill rank 7, without any mastery levels on all of their skills.
- Calculations will state raw ATK power (without enemy DEF reduction, or enemy DEF is assumed to be 0) unless stated otherwise on the text.

Average burst DPS only refers to the DPS when skill is active, not considering overall DPS when the skill is on cooldown.

## Neutral state (without skills):

a is Vigna’s average neutral DPS, while b is Bagpipe’s average neutral DPS. Immediately below b is Vigna’s raw crit ATK and under it is Bagpipe’s raw crit ATK.

Essentially, when considering DPS with their crit talents, Bagpipe performs just the same to Vigna when it comes to single target DPS.

Vigna’s crit will proc less often than Bagpipe, but boasts higher crit ATK, making her crit really good for bypassing higher DEF enemies.

Bagpipe, however, can deal the same amount of ATK to another enemy and procs more often which makes it particularly useful in clearing more crowded waves.

## Vigna's DPS from all skills:

Above is the calculations for Vigna’s skill 1 average burst DPS, in order from top to bottom are Vigna’s average DPS, raw ATK power without crit, and with crit.

Above is the calculations for Vigna’s skill 2 average burst DPS, same order following Vigna S1 template.

### Analysis between Vigna's skills:

Generally, since both skills have the same duration (20 seconds) and S2 have lower SP requirement compared to S1 (28 init 5 vs 37 init 5), as well as boasting higher average DPS, you would never want your Vigna’s skill to be set to S1. S2 raises Vigna’s damage to an insane amount per hit and 2 consequent hits from crits usually deletes most enemies on the lower DEF spectrum.

## Bagpipe's DPS from all skills:

h is Bagpipe’s skill 1 average burst DPS, i is the new attack interval after ASPD increase, below i is the raw ATK power w/o talent, and under it is with talent.

j is Bagpipe’s skill 2 average DPS (with the multiple hits), under j is her raw ATK per hit, and below it is her raw ATK per hit with talent.

h is Bagpipe’s skill 3 average burst DPS (with the multiple hits), following the same format as Bagpipe’s skill 2.

### Analysis between Bagpipe's skills:

S1 offers good uptime (almost 50% assuming you activate it all the time) for a manual-trigger buff and the bonus are consistent for the duration, however the ATK buff per hit is not as high as the other skills. (She does hit faster thus the burst DPS are higher than S2).S2 is designed to perform in a consistent and predictable manner, set it and forget it type. This is a very safe skill to use in general when you know there aren’t any enemies that needs high burst damage on the stage. Offers the second-highest ATK per hit.

S3 deals a whopping 3 hit combo with high damage per hit. This can instantly melt enemies on the lower DEF spectrum, combined with the additional block and DEF buff which synergize with her crit talent very well. However, 40 SP with 20 second duration makes it crucial to time the skill properly. Offers the highest ATK per hit.

## General Average DPS Comparison

Legends:

h is Bagpipe’s S1 average DPS, considering initial SP, SP requirement, and duration.

j is Bagpipe’s S2 average DPS.

k is Bagpipe’s S3 average DPS, considering init SP, SP req, and duration.

b is Vigna’s S2 average DPS, considering init SP, SP req, and duration.

All of the above assumed the enemy has 0 DEF, and assumes the skill is used every time it is available for easier calculation. Generally average DPS drops after first skill usage.

### Analysis:

Vigna's S2 makes a better single-target DPS compared to Bagpipe's S1 and S2, but lacks the crowd-control Bagpipe provides due to Bagpipe's talent that occasionally allows her to deal damage to another target. While Bagpipe's S3 deals much more DPS compared to Vigna's S2, Bagpipe needs more time to recharge her skill while Vigna's can be used faster about 7 seconds or so, even after considering the longer skill duration on Vigna.## Bagpipe's S3 and Vigna's S2 Interactions on Varying Enemy DEF

Legends:

line a is Vigna’s S2 damage per hit without talent.

line b is Vigna’s S2 damage per hit when talent activates.

line c is Bagpipe’s S3 damage per hit without talent.

line d is Bagpipe’s S3 damage per hit when talent activates. (Also hits one other enemy in range)

The x coordinate shows the value of enemies’ DEF, while the y coordinate in the line tells us how much damage per hit they will be dealing to said enemy with that amount of DEF.

### Analysis:

We can see that without crit, Vigna's damage per hit is much lower than Bagpipe's when the enemy's DEF are below 1000. Vigna w/o crit gains an edge against Bagpipe w/o crit when the enemy's DEF is between 1006 to 1308 DEF. When critical is considered, Vigna does show that she deals higher damage than Bagpipe w/ crit when the enemy DEF ranges from 715 to 2886.Bagpipe, based on the graph, shows that she really does deal high damage when the enemy DEF is on the low spectrum. Even without crit, at 0 enemy DEF, the damage is slightly more than two times of Vigna’s (even Vigna’s damage with activated talent is beaten by her w/o talent proc, but Vigna w/ crit will deal more damage starting at 191 enemy DEF until 3000-ish).

Bagpipe does have higher minimum damage owing to the fact that she actually deals 3 hits with S3, making her effective minimum damage to be thrice the original amount (3 times of 5% ATK). Another thing to consider is the fact that Bagpipe hits another target when talent procs, potentially dealing twice the damage overall.

## Author's Conclusion and Opinion

While Bagpipe does deal much more damage in practice (due to many AK enemies' DEF generally lies between 0 to 1000 DEF), it remains a fact that Vigna is an operator with lower rarity, thus developing and deploying her will be cheaper compared to Bagpipe. Vigna's damage have the potential to deal larger amount of damage than Bagpipe and have better matchup against i.e. Defense Crushers, but Bagpipe will be a better general pick for the DP-on-kill role. As a disclaimer, this does not mean Vigna is worse nor better than Bagpipe. They're both strong for what they are and both are solid picks for the role they fill.This was a long read, but I hope you find this post useful and I'll be glad if you find the content entertaining as much as I do. Feel free if there are any questions, comments, and/or critics.