Menu
News
All News
Dungeons & Dragons
Level Up: Advanced 5th Edition
Pathfinder
Starfinder
Warhammer
2d20 System
Year Zero Engine
Industry News
Reviews
Dragon Reflections
White Dwarf Reflections
Columns
Weekly Digests
Weekly News Digest
Freebies, Sales & Bundles
RPG Print News
RPG Crowdfunding News
Game Content
ENterplanetary DimENsions
Mythological Figures
Opinion
Worlds of Design
Peregrine's Nest
RPG Evolution
Other Columns
From the Freelancing Frontline
Monster ENcyclopedia
WotC/TSR Alumni Look Back
4 Hours w/RSD (Ryan Dancey)
The Road to 3E (Jonathan Tweet)
Greenwood's Realms (Ed Greenwood)
Drawmij's TSR (Jim Ward)
Community
Forums & Topics
Forum List
Latest Posts
Forum list
*Dungeons & Dragons
Level Up: Advanced 5th Edition
D&D Older Editions
*TTRPGs General
*Pathfinder & Starfinder
EN Publishing
*Geek Talk & Media
Search forums
Chat/Discord
Resources
Wiki
Pages
Latest activity
Media
New media
New comments
Search media
Downloads
Latest reviews
Search resources
EN Publishing
Store
EN5ider
Adventures in ZEITGEIST
Awfully Cheerful Engine
What's OLD is NEW
Judge Dredd & The Worlds Of 2000AD
War of the Burning Sky
Level Up: Advanced 5E
Events & Releases
Upcoming Events
Private Events
Featured Events
Socials!
EN Publishing
Twitter
BlueSky
Facebook
Instagram
EN World
BlueSky
YouTube
Facebook
Twitter
Twitch
Podcast
Features
Top 5 RPGs Compiled Charts 2004-Present
Adventure Game Industry Market Research Summary (RPGs) V1.0
Ryan Dancey: Acquiring TSR
Q&A With Gary Gygax
D&D Rules FAQs
TSR, WotC, & Paizo: A Comparative History
D&D Pronunciation Guide
Million Dollar TTRPG Kickstarters
Tabletop RPG Podcast Hall of Fame
Eric Noah's Unofficial D&D 3rd Edition News
D&D in the Mainstream
D&D & RPG History
About Morrus
Log in
Register
What's new
Search
Search
Search titles only
By:
Forums & Topics
Forum List
Latest Posts
Forum list
*Dungeons & Dragons
Level Up: Advanced 5th Edition
D&D Older Editions
*TTRPGs General
*Pathfinder & Starfinder
EN Publishing
*Geek Talk & Media
Search forums
Chat/Discord
Menu
Log in
Register
Install the app
Install
Community
General Tabletop Discussion
*Dungeons & Dragons
D&D Older Editions
v4: Challenge Ratings pdf (3.5 compatible)
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Reply to thread
Message
<blockquote data-quote="Wulf Ratbane" data-source="post: 1478587" data-attributes="member: 94"><p>Let me break down what I was doing. I'm going to replace CR where it should be, and N where the number of combatants should go.</p><p></p><p>First part:</p><p></p><p>=1+4*(LOG((2^(TRUNC(LOG(CR,2)))),2))</p><p></p><p>What this does, actually, is find the lowest "base 2" starting point from the target CR. I'm not simply taking 2 to the power of log 2-- the TRUNC is important to get the lowest base 2 point. So, for example, if the CR is 18, the LOG2 is 4.169925; truncate this to an even 4, and raise back to the power of 2= 16. The starting off point is 16.</p><p></p><p>Now for the second part:</p><p></p><p>+TRUNC((((CR/(2^(TRUNC(LOG(CR,2)))))-1)*4))</p><p></p><p>What this unholy bastard is doing is finding the sub-divisions between one base-2 plateau and the next. Because double the CR = +4 EL, there are therefore 4 "steps" between each doubling, and furthermore each step is equidistant from the others.</p><p></p><p>So between CR16 and CR32, there are 4 steps: CR16-19, CR20-23, CR24-27, and CR28-31. What this formula does is find out how far from the next plateau the current CR is by simple division. </p><p></p><p>Working from the inside out, the LOG2,18 = 4.xx; driven back down to the next lower plateau with the trunc and ^2 operators = 16; 18/16 = 1.125; subtract 1 to get the fractional portion (.125), multiply x4 = .5, and truncated again = 0. </p><p></p><p>So what's that tell me? That CR18 is "0 steps" away from the CR16 plateau. </p><p></p><p>If you tried the same formula with CR20-23, the result = 1; with CR24-27, result 2; CR28-31, result 3. </p><p></p><p></p><p></p><p>In my mind I read TRUNC as "truncate," which is what the formula is doing. It's just an easier mnemonic device for me.</p><p></p><p></p><p></p><p>I didn't see much value in a spreadsheet that returned different values than UK's pen-and-paper system-- I'd just carry on using the pen and paper version and to hell with the spreadsheet. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f609.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=";)" title="Wink ;)" data-smilie="2"data-shortname=";)" /></p><p></p><p></p><p></p><p>Well you know that's not true... order of operations and all that... There's a difference between 4*(INT(2.25)) and INT (4*2.25).</p><p></p><p>Wulf</p></blockquote><p></p>
[QUOTE="Wulf Ratbane, post: 1478587, member: 94"] Let me break down what I was doing. I'm going to replace CR where it should be, and N where the number of combatants should go. First part: =1+4*(LOG((2^(TRUNC(LOG(CR,2)))),2)) What this does, actually, is find the lowest "base 2" starting point from the target CR. I'm not simply taking 2 to the power of log 2-- the TRUNC is important to get the lowest base 2 point. So, for example, if the CR is 18, the LOG2 is 4.169925; truncate this to an even 4, and raise back to the power of 2= 16. The starting off point is 16. Now for the second part: +TRUNC((((CR/(2^(TRUNC(LOG(CR,2)))))-1)*4)) What this unholy bastard is doing is finding the sub-divisions between one base-2 plateau and the next. Because double the CR = +4 EL, there are therefore 4 "steps" between each doubling, and furthermore each step is equidistant from the others. So between CR16 and CR32, there are 4 steps: CR16-19, CR20-23, CR24-27, and CR28-31. What this formula does is find out how far from the next plateau the current CR is by simple division. Working from the inside out, the LOG2,18 = 4.xx; driven back down to the next lower plateau with the trunc and ^2 operators = 16; 18/16 = 1.125; subtract 1 to get the fractional portion (.125), multiply x4 = .5, and truncated again = 0. So what's that tell me? That CR18 is "0 steps" away from the CR16 plateau. If you tried the same formula with CR20-23, the result = 1; with CR24-27, result 2; CR28-31, result 3. In my mind I read TRUNC as "truncate," which is what the formula is doing. It's just an easier mnemonic device for me. I didn't see much value in a spreadsheet that returned different values than UK's pen-and-paper system-- I'd just carry on using the pen and paper version and to hell with the spreadsheet. ;) Well you know that's not true... order of operations and all that... There's a difference between 4*(INT(2.25)) and INT (4*2.25). Wulf [/QUOTE]
Insert quotes…
Verification
Post reply
Community
General Tabletop Discussion
*Dungeons & Dragons
D&D Older Editions
v4: Challenge Ratings pdf (3.5 compatible)
Top