On Mixtures of the Four Elements in Seven Parts

Here's something fun that might be useful for a fictional universe or something: I'm cataloging seven-part mixtures of the four classical elements. For example, this lil guy is one part Water, two parts Earth, three parts Fire, and one part Air:



We need to be systematic about this, so let's split the elements into "hot" (Fire and Air) and "cold" (Water and Earth). Here are all the mixtures that are either 100% cold (left) or 100% hot (right):



The right column is just the left column with each element swapped with its opposite (Fire/Water and Earth/Air).

If we have some nontrivial combination of cold and hot, like a 3:4 mix, we get something like this:



The left half is 4 parts hot to 3 parts cold, with Air gradually replacing Fire as you move right and Earth replacing Water as you move down. The right half (4 parts cold to 3 parts hot) is a copy of the left half with opposite elements swapped.

So we have a system! There are two other grids like this, for 1:6 and 2:5 mixes of hot and cold. Let's see what a full table of our elemental mixtures looks like:



hey wait a minute

(no subject)

Hey etirabys did this give you a notification?

Anyway,

...in the course of the trial Plato mounted the platform and began: “Though I am the youngest, men of Athens, of all who ever rose to address you”—whereupon the judges shouted out, “Get down! Get down!”