Gonna take FanSyst's place and redo this calc with a much more accurate size renditioning of Teyvat based on this document.
Setting the Precedent[]
Summarizing the above document, the ratio between in-game length and in-lore length is 158:1, the author calls it speculation, but this is the most accurate metric in my opinion due to three reasons:
- Unlike vague assumptions comparing real life cities to completely fantasy cities they're vaguely based on, this does use an actual metric provided by the game, with a unit of measurement and a proper set distance, which in my opinion is more valid than speculation or assumptions of equivalent size.
- Both English and CN specifically use a unit of measurement. Often English translations use figures of speech that involve units of measurement for sake of exaggeration which often do not exist in the original CN text. This one uses both 60 miles in the English version and 200 lǐ (100km).
- The two text measurements are actually roughly the same in measurement as 60 miles is around 96.5 km to 200 lǐ's own 100 km, so this does serve the idea that this may also just be an intended translation.
However this does not mean that the 158:1 is universally reliable for all of Teyvat, in the author's recommendations, he outlined the following:
- Creatures, people, and buildings are already fairly "realistic" in size, and should not be sized accordingly to the proposed ratios
- Instead of building and overall city size increase, density increase should be done where there are more settlements and buildings rather than increasing the size of entities
- The heights and elevations of the world are also fairly realistic if only barely shrunken down, so the 158:1 ratio should not apply to them.
I personally find this acceptable to use until more accurate information springs up regarding Teyvat's size, and certainly far more accurate to what is currently being used.
Feat Calculation[]
Some conditions to keep note of:
- Combat scenarios are explorable in the game.
- The battle covers the following scenario.
- The height portion will remain untouched as the document above recommends to "Treat the elevations in-game as (near) actual, then scale mostly along the surface."
- The length will be increased by about 158x the in-game length according to the document.*
*Please see Fig. 10 of the above document for how this length was achieved
Proportions
- Height=v*t+0.5*a*t^2 (1)
- Speed=a*t=9.81*(4.402-4.335)
- Time (jump)=4.402-4.335= 0.067s
- (post-jump) Time=5.602s-4.402s=1.2s
https://imgur.com/a/cKSIMMt
Insert in (1) and you get:
Rock height=7.85m
Relate the height of the rock to the wave:
https://imgur.com/a/AciBrUG
- 108px=7.85m
- 617px=44.77m
Obtain how far the wave extends:
The tsunami spreads over the entire field, decreasing in height with distance.
Using the map, I obtained the distance between two islands.
- 422pxl=252m (mission distance)
- 410pxl=244m
- 244m (in-game distance) * 158 = 38,552 m
Obtain the length of the wave:
Visually, the game does not offer an image to see, however, given the shape, you can get an approximation with geometry.
an approximate shape for one of the faces is that of a right triangle:
https://imgur.com/Qsavww5
- a=44.77m
- °b=24.61°
- b=44.77m/tan(24.61°)=97.7m
The length of the wave measures 97.7m in-game so:
97.7 m * 158 = 15,436m
Volume
Using the shape of a triangular pyramid:
- V=(1/3)*(0.5*44.77m*15436.6m)*38552m
- V= 4440525904.88 m^3
Mass
- Density of seawater=1027.5kg/m^3
- Volume= 4440525904.88 m^3
- Mass=Density*Volume
- Mass=4.56264037e12 kg
Heat
Latent heat of fusion (L)=328400j/kg
Specific heat (c)=4007j/kg°C
m= 4.56264037e12 kg
Calculate the temperature change:
- Heat=m*c*T
- Heat=4.56264037e12 kg*4007j/kg°C*(-2°C-20°C)
- Heat=4.02215e+17 J
Calculate the change of state:
Heat=m*L
Heat= 4.56264037e12 kg*328400j/kg
Heat= 1.4983711e+18J
The amount of energy is equal to the sum of the values obtained above:
Energy= 4.02215e17 J + 1.4983711e18 J
Energy=1.9005861 × 10^18 joules or 454 megatons (Mountain level)