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Viewing blog entries in category: D&D calcs

  • Deer Lord
    This is one fast doggo
    and I mean really fast, like "I outrun Gods" fast.

    But just how fast does can he go?

    According to his entry, he has the ability to use Teleport without error, except he isn't actually teleporting but just running fast
    - Champions of Ruin

    'Near limitless' isn't very specific, but if Kezef's ability has the same range as a 'teleport without error', which is to say from any point to any other point in the same plane of existence (= universe) then he could just instantly cross a universe using his speed.

    Observable universe is 8.8e23 km in diameter
    Crossing that in a second is 8.8e26m/s= 2.935 quintillion c

  • Deer Lord
    Dragon fire is very intense, how intense?

    well, there's these
    - Monster Manual 3.5e
    - Draconomicon (4e)

    The most common component of treasure in D&D is, well gold.
    But gold is a metal, it doesn't turn to ash. If so, then what would be considered 'Obliterated' or 'Destroyed' in this case? I think vaporizing makes sense, considering even magical items gets reduced to nothing but a bit of ash.

    Gold boils at about 2700 degrees Celsius.

    Dragon Fire is shot in the form of a cone with varying size depending of the size of the Dragon.
    According to the 5e manual, we have 15 ft. for wyrmlings, 30ft. for youngs, 60ft. for adults and 90ft. for ancients. (A cone of 15 ft. = a cone with such length at its sides)
    This diagram in the sourcebooks suggests a 90 degree angle, meaning the base of the cone is sqrt(2)*(cone length).

    I'm looking for cone volume, and then I'll be looking for how much energy is needed to heat up that much air to 2700 degrees.

    Cone Volumes:
    Using Cone calculator and given s and r, we get
    Wyrmling: s= 4.57m, r=3.23 m, V=35.32 m^3
    Young: s= 9.14m, r= 6.46m, V= 282.57 m^3
    Adult: s= 18.28m, r= 12.92m, V= 2260.55 m^3
    Ancient: s= 27.43m, r= 19.39m, V= 7638.85 m^3

    Air density would be about 1.196 kg/m^3 in a European setting at room temp (20 degrees)
    Specific heat of air is 1006 j/kg
    I'll use the Q=m*c*t equation

    Wyrmling: V=35.32 m^3, m=35.32*1.196=42.24 kg, Q=42.24*1006*2680= 113882419.2 J
    Young: V= 282.57 m^3, m=282.57*1.196=337.95 kg, Q=337.95*1006*2680= 911150265.42 J
    Adult: V= 2260.55 m^3, m=2260.55*1.196=2703.62 kg, Q=2703.62*1006*2680= 7289169878.224 J
    Ancient: V= 7638.85 m^3, m=7638.85*1.196=9136.065 kg, Q=9136.065*1006*2680= 24631561046.768 J

    Final Tally:
    Wyrmling red dragon's fire breath= 0.027 tons of TNT
    Young red dragon's fire breath= 0.217 tons of TNT
    Adult red dragon's fire breath= 1.74 tons of TNT
    Ancient red dragon's fire breath= 5.88 tons of TNT

    This is probably an underestimation of the more powerful dragons, but nice bit feats for young dragons.
  • Deer Lord
    Atropos, the world born dead is a sentient, undead moonlet capable of draining planets of life for whatever reason an undying celestial objects has to consume planets I guess.

    -Elder Evils (3.5e)

    It is capable of consuming all positive (meaning living) energy within a planet, and has in fact done so to an earth-sized planet in the Forgotten Realms setting

    In order to leave a planet "an empty husk" I'm guessing what Atropos devours is biomass, converting it to positive energy that is instantly negated by the negative energy fueling him, as the text suggests.

    How much biomass is on Earth? according to wikipedia between 1 to 4 Trillion tons of carbon.
    Converting an average of 2.5 trillion tons into energy via mass-energy equation would yield:

    E=m*c^2= (2.5e15 kg)*(299792458 m/s)^2= 2.246e32 J, or 53.68 Zettatons of TNT, practically planet level since this is only an average.
    While we're at it, I'd like to figure out the GBE of Atropos
    700 miles are 1120 km, giving it a radius of 560km
    It's made out of rock of some sort, so I'll use the density of granite to determine mass.

    A sphere with a radius of 560,000m would have a volume of 7.35619E+17 m^3
    applying a density of 2700 kg/m^3 we get a mass of 1986171300000000000000 kg.

    GBE= 3*G*M^2/5*R = [3*6.67408e(-11)*(1986171300000000000000)^2]/(5*560000)= 2.82e26 J
    or, 67.4 Petatons , continent level+

    Final Tally:
    Atropos consumes a planet ≈ 53.68 Zettatons of TNT
    Atropos' GBE = 67.4 Petatons of TNT
  • Deer Lord
    Time for some cosmic tier shit
    1. The Shadow Epoch

    - Forgotten Realms Campaign Guide (4e)

    Dendar The Night serpent is a primordial and elder evil entity that feeds on nightmares.
    As stated above in the ancient past she was large enough to swallow the Sun and plunge the world into darkness, untill beaten by the god Ubato and a new sun was constructed.

    Current Dendar isn't nearly as large, but she is prophesied to do the whole sun eating again in the end of days once she eats enough nightmares to be this large. Ubato would then once again fight it. (which sparked a whole cult of fanatics scarificing themselves to fight the serpent to keep it expanding energy instead of eating)

    I wanna know exactly how large she actually was, and more importantly, how fast.

    So her depowered size would help us with that:
    - Champions of Ruin (3.5e)

    Adult dragons are typically of the 'Huge' size category, which is 16-32ft in height, so 24ft on average.
    Meaning that Dendar's lenght is 12.5 times the size of her mouth.

    Diameter of the sun is 1,391,400km, so Dendar's length at that time would have been roughly 17,392,500 km.

    For Speed, I'll scale her (pun non-intentional) off the fastest sneko irl (and the only one there are speed stats of on google for some reason), the Black Mamba.
    Black Mamba's can go at 11 km/hr, meaning they can cover their body length (3m) in one second.

    So by that logic Dendar would be going at 17392500000 m/s which is 58c, FTL.

    2. The Wars of Light and Darkness

    As is well known and repeated in several sources the Material plane came to existence by the twin goddesses Selune and Shar. They then got into a fight over conflicting views on how the universe should run. What's interesting is this illustration from the Forgotten Realms Campaign Setting for 3rd edition that depicts them as much larger than star-systems

    Now doing some pixel scaling from the face, as to avoid "is it in the backround?" issues
    I wanted to see what is Selune's arm's length, since it is basic for a person to move its own arms' length in about one second.

    For interstellar distance I'll be using the distance from the Sun to our closest star, Proxima Centauri, which is 4.24 light years.

    Interstellar distance = 4 px = 4.24 light years
    Arm length= 425 px = 450.5 light years

    450.5 light years are 4261968044200000000 meters, so
    v= 4261968044200000000m/s, or 14,216,395,144.27c ,MFTL+

    This is probably an underestimation of their speed too since there are stars that seem closer back there than the ones I chose to scale.

    Final Tally:
    Shadow Epoch Dendar's movement speed > 58c
    Shar/Selune's casual movement speed > 14,216,395,144.27c
  • Deer Lord
    ~didn't have this on my blog for some reason so re-uploading~
    Man, this calc was practically begging to be made, just read this

    Basically Vhosy wanted to create an Eclipse by pulling a shard of the Moon closer to Toril (Earth).
    And the book gives us almost all the details we need.

    So lets start with distance, its stated he needs to position it within a 1/20 of the Lunar distance, In forgotten realms the parameters of the moon is stated in the 3rd edition Campaign Setting:

    >2000 miles in diameter is >3200 km across which is nearly identical with irl moon (3,474 km diameter) so I'll just assume they're the same.

    The lunar distance is stated as 20,000 miles = 32,000 km

    Moving that 19/20 of the way is 30400000m.

    Now for time-frame, he says it will be in position before Dawn and its already night time for quite a while when the spell is cast
    so I think a fair assumption would be that he starts at Midnight.
    The spell takes place in the Sea of Fallen Stars which is comparable to the Mediterranean, where Dawn can come anywhere between 6:00~7:00 am
    So I'll use 6 hours as the time-frame.

    v=d/t=30400000/21600= 1407.4 m/s or mach 4.135

    Now as for mass, we a given a diameter of 50 leagues, but as I've found out, a league can mean a shit ton of things, so I'll use the also stated diameter of 1/20 of the moon, which is 173.7 km.
    This gives us a volume of 2.74409E+15 m^3 for the Tear of Selune
    Density of the Moon= 3.344 gr/cc or 3344 kg/m^3

    Mass of the Tear= 2.74409E+15*3344= 9176236960000000000 kg

    Ke= 0.5*m*v^2= 0.5*(9176236960000000000)*(1407.4)^2 = 9.0880292810735648e24 J or 2.172 Petatons of TNT

    Continent level

    Keep in mind that this is what an epic mage can do with sufficient prep, not even a God or somethin
  • Deer Lord
    A bunch of quick ones I did:

    1. Call lightning


    Meaning the spell can either give you control over a natural storm, or make a storm cloud for you.
    Either way the spell can rain down cloud to ground lightning, that are dodge-able.

    What's interesting is that if you choose to spawn a cloud it appears 100 ft, or 30m above ground.
    If we are having an average 1.7m tall character attempting to dodge it, they'd have to move 1.5m (5 ft.) to get out of the way before the lightning clears 28.3m of distance.

    Average lightning speed = 97,536 m/s
    t=d/v= 28.3/97536 = 2.9015e(-4) sec
    v=d/t= 1.5/2.9015e(-4) = 5169.75 m/s, or Mach 15.2

    This also doubles as a dc feat since lightnings are naturally building level in dc.

    2. Disintegrate


    The spell can reduce a 10 foot cube of any ordinary material to dust.
    This includes the likes of steel and glass

    Pulverization of steel = 310-1000 J/cc
    Pulverization of Glass = 1000 J/cc

    V= 10 ft^3 = 283168.466 cc
    E= 283168.466*1000= 283168466 J, or 0.067 tons of TNT
    Small-building level.

    3. Proctiv’s Move Mountain (Epic Spell in Forgotten Realms)

    - Player's Guide to Faerun (3.5e)

    Pretty specific.
    From what we know this spell was used to make flying cities, that went pretty high (considering they were destroyed almost completely when they fell and could traverse mountainous territory)
    So as a conservative estimate I'll show strong you need to be to lift one up a kilometer.

    Volume of said mountain is 4289320000 m^3
    density of granite rock = 2700 kg/m^3
    m=4289320000*2700= 11581164000000 kg

    Pe= m*g*h= 11581164000000*9.8*1000 = 113495407200000000 J
    or, 27.126 Megatons of TNT, City-level

    4. The Avatar of Gilgeam throws a dragon turtle

    - Powers and Pantheons

    According to the Monster Manual, Dragon turtles weight between 8000 to 32000 pounds, so using these as a low and high end.
    8000 pounds = 3628.72 kg , 32000 pounds = 14514.88 kg
    afaik OBD considers a City to be at least 10km in diameter, so I'll use that.

    From the Ballistic trajectory calculator I can find the height it went up to and make a graph.
    with an angle of 45 degrees and fiddling with speed until I get that 10km mark

    nets us a speed of 313.2 m/s

    Low end: Ke=0.5*m*v^2= 0.5*3628.72*(313.2)^2 = 177978265.2864 J, or 0.042 tons of TNT
    High-end: Ke=0.5*m*v^2= 0.5*14514.88*(313.2)^2 = 711913061.1456 J, or 0.17 tons of TNT
    Small-building level, eh

    Final Tally:
    Dodging Call lightning = Mach 15.2
    Disintegrate dc = 0.067 tons of TNT
    The avatar of Gilgeam throws a dragon turtle= 0.042~0.17 tons of TNT
    Netherese Archwizards create flying cities= 27.126 Megatons of TNT
  • Deer Lord
    So, the Elder Evil Ragnorra is D&D's version of Brood mother, sorta.
    She travels around the multiverse, occasionally crossing into the Material plane, in which case she'd very much like to crash land on a world and take it over.

    The book actually provides some things that make this crash-land calcable

    - Elder Evils [3.5e]

    The important thing to take from this passage is that her landing is like a freakin asteroid, leaving a 30 mile long crater.

    We also have this:
    So her size as she lands is a mile in diameter.

    What's I'm going to do is fiddle with the Asteroid Impact Crater Calculator to get the speed at which she was traveling and the energy of impact (since we know she survives this, albeit barely).

    So we have a diameter of a mile=1600m, and we know Ragnorra is made out of flesh so I'll use average density of a human body for this, which is 1.062 gr/cm^3.
    I'll plug in an arbitrary angle of 45 degrees for impact and change the speeds untill I can get a crater with a diameter of 30 miles = 48 km.

    And here are the results

    So the Final Tally:
    Ragnorra's crusing speed = 376,000 m/s, or about Mach 1105
    Ragnorra's impact yield = 38.33 Teratons of TNT

    MHS+ and country level, surprisingly sits well with the powerscaling actually
  • Deer Lord
    Some more of the shit epic mages can do in D&D

    -Elminster in Hell

    To put this simply, the Simbul, an epic level wizard could fight off a company of high level devils, open a portal to the prime material all the while using a spell to fling a mountain halfway across Hell to use as a tactical nuke that shakes the entire layer.

    To calc this feat I'll need three things: Size of that rock, distance and timeframe

    Distance is easy, its stated she boosted the thing from halfway across Avernus, the first Hell

    From this we can infer that the radius of Avernus is 6607 miles, or 10633.17 km
    So planetary proportions.

    Next, for timeframe, the Devils note sensing a strange magic right before Simbul showed up.
    They then chase her for a while until the mountain drops, noting that this must be what they sensed . So a matter of minutes, not hours from the rock to travel there.

    I'll be using 10 minutes as a conservative estimate.

    Now for size.
    Narration states that a mere fragment of the rock is the size of a castle.
    How large is a castle? well, D&D is based on high-medieval period Europe, England specifically.
    So lets see, how large were castles back then by using Warwick castle in England as a model

    From pixel scaling I did (couldn't find an exact figure on google), the area of the castle seems to be roughly 1 Km^2.
    Also the towers of the castle range in 40-44 m for height.

    So what I'll do is model the mountain as a pyramid that is x10 times the castle.

    So we have a pyramid that is 10 km^2 in base and 400m tall.

    Said pyramid would have a volume of 1333340000 m^3
    Density of granite rock is 2700 kg/m^3
    So, m=2700*1333340000= 3600018000000 kg

    Now for speed
    v=d/s= 10633.17 km/ 10 mins = 17721.95 m/s

    Using a Ballistic Trajectory calculator, I can find the initial speed that fling this thing that far

    Giving us a speed of 10,213 m/s, or Mach 30.01

    Ke= 1/2*m*v^2= 0.5*3600018000000*(10213)^2= 187750602948321000000 J
    or, 44.87 gigatons of TNT
  • Deer Lord
    So the other day I posted this:

    And figured I'll try to calc the first two feats on this list
    Hopefully I've found a way to make them quantifiable.

    So, anyway, let's get to it.
    1. Azuth and Savras blow up a mountain

    Here's the feat:

    Eric L. Boyd (1997). Powers and Pantheons.

    At the time of their duel, Azuth is a top-tier human mage and Savras is just a random Demigod. So this feat should actually scale to a whole bunch of characters in-verse including all deities, top-tier mortal spellcasters and other powerfull immortals (like Archdevils)

    now for the calc:

    So, first I need to figure out how big is the mountain we're talking about.
    Sadly all topographic maps of Faerun I've found do not have altitude marked, and the only number I could find for specific mountains was a 4km mountain.

    So I'm just going to correlate the setting to an irl one
    We're talking D&D, so I'll be using irl Britain.
    Going with this list: https://en.wikipedia.org/wiki/List_of_mountains_of_the_British_Isles_by_relative_height#List

    I calculated the average mountain height to be 878.99m.
    The closest one on the list to that is Goat Fell, with an altitude of 874m.
    So, for the purpose of this calc, this is the mountain I'm using.

    The feat also entails creating a deep lake.
    how deep?
    Once again we go to Britain, with this list:https://en.wikipedia.org/wiki/List_of_lakes_and_lochs_of_the_United_Kingdom

    I did an average of the mean depth for the six deep lakes on the list and came up with a mean depth of 64.43m.

    Getting Volume:

    Here's a picture of goat fell:

    To low-ball things (and make it easier on me), I'm not calculating the entire thing, but the cone with the height and diameter in the picture.

    Height= 159px = 874m
    1px= 5.496855345 m
    Diameter= 406 px = 2231.72327 m

    Volume of cone= pie*r^2*h/3= pie*(1115.8616)^2*874/3= 1139621786.172762 m^3

    Now for the volume of the lake.
    Using dome calculator and a depth of 64.43m + diameter of the mountain I get:
    Volume of Lake= 168021918.28 m^3

    Total Volume of Rock Destroyed = 168021918.28+1139621786.172762= 1307643704.4527612 m^3

    or 1307643704452762 cc

    Now for the Damage:

    I was contemplating between regular frag and violent frag.
    Since the excerpt isn't detailing much I decided to just calc both as a Low and High end.

    Low-End: (Fragmentation)
    Volume=1307643704452762 cc
    Fragmentation of rock is 8j/cc
    Energy= 8*1307643704452762= 10461149635622096J or 2.521974 Megatons of TNT

    High-End: (Violent Frag)
    Volume=1307643704452762 cc
    Violent Fragmentation of rock is 69j/cc
    Energy= 69*1307643704452762= 90227415607240578J or 21.75202 Megatons of TNT

    2. Selune and Shar shape the material plane

    The Material Plane is the mortal realm, a universe with similar laws to ours in the scheme of Realmscape.
    In the FR setting, Abier-Toril is the focal point of the material plane.

    Selune and Shar are the two greater goddesses formed out of the multiverse that Ao creates. And they created a third great goddess to be the abstract of life in the universe. But what we see here is that the two of them actually created all celestial bodies in the universe.

    Now, there is no time Frame for how long it took them to make all of that. However the turn of events is something like this:
    Shar and Selune come into existance -> Creating Celestial Bodies -> Creating Chauntea -> she bitches about the universe being cold ->Battle between shar and selune -> Creating of the stars (by lighting planets on fire...) -> Mystryl is born and Shar loses the fight.

    So, we can gather that Shar and Selune are responsible for the creation of all matter in the universe.
    This creation proccess stopped when they started fighting, and before the Sun (and solar system) has formed.

    Now, in our Universe all matter was present in the moment after the big bang, but here this isn't the case.
    to calc this I'd have to figure out a time interval and then divide the mass energy of the universe by that time to get energy per sec.
    I'm not going to wank and go "Yeah it probably took them a couple of days".

    I decided to chose a time when the grand celestial structures (galaxies) have already formed, The Age of the Milkey way Galaxy. That's probably the best interpretations of "Heavens" I can come up with.

    Age of the Universe= 13.82 billion years
    Age of the Milkey Way Galaxy= 13.21 billion years
    Time Frame= 13.82e9-13.21e9=610 million years= 19236960000000000 sec.

    Mass energy of the Universe= 4e69 J

    Energy Output= 4e69/19236960000000000= 2.0793306e53 J/s or 2.07933 GigaFoe per sec.

    For each one that 1.039665 GigaFoe per sec.

    If I'm going low-end and using the age of the solar system I get:
    Time= 13.82e9-4.6e9=9.22 billion years= 290761920000000000 sec.
    Energy=4e69/290761920000000000= 1.375696e52 J/s or
    137.5696 MegaFoe/s

    68.7848 MegaFoe/s for each one.

    It might sound a lot, but it's actually a bit feat for those gals, since there are blatant Universe+ level feats for Greater gods.

    Final Tally:
    Low-End | High-End