What is the comparative value of armor proficiencies?

The intent is that I want to playtest some racial features in a restricted setup, before using them in more complicated homebrew endeavors. Applying medium or heavy armor proficiency to this race seems like the easiest way to playtest medium / heavy armor proficiency as racial feature.

The way I see it, it seems that light and heavy armor have other restrictions than proficiencies, such as the reliance on Strength or Dexterity and, in the case of heavy armor, stealth disadvantage. On the other hand, there are no races that grant heavy armor proficiency and there are quite some (sub)classes that grant access to light and / or medium but not heavy armor.

Is medium or heavy armor proficiency as racial feature more powerful (in general) than light armor, or is it just favoring different kinds of builds?

I will use armor proficiencies on homebrew races in the future but first playtest it on the hobgoblin. I would therefore prefer a more general analysis, but considering the specific example (see below) would of course be appreciated.

Given the hobgoblin race with the following feature:

Martial Training. You are proficient with two martial weapons of your choice and with light armor.

would the race become more or less powerful when granting medium or heavy armor instead of light, or would it just lend itself to different builds?

I intend to use the change with the optional rules from TCoE concerning the customization of ASIs. Therefore, the specific ASIs of the race should not be relevant for the analysis.

I am looking for a way to assign numerical values to colors (then interpolate a color scale) and then assign numerical values to comparative colors

Hello may name is Chris

I am completely new to programming (but I love it!! I am learning Swift).

I am currently looking for a solution to the mentioned problem. I’m not sure if it is a ML task or if it is better to do it in the traditional way – maybe by comparing and interpolating RGB values. How I imagine that might be easier to understand in the video.

VIDEO (is there a better way to provide a video?)

The color values ​​below were taken before the adjustment and assigned to the assigned values ​​0, 2, 5, 10, 25, 50 and 100. The round section is taken from a photo (by light and shadow you can see that not every color value brings a perfect match. But that shouldn’t be a problem (I hope so) by comparing the pixels and evaluating the color value with the most matching colour at the end). My spontaneous manual evaluation gives a value that should be around 19-20.

I have already thought back and forth whether it is possible to do the whole thing using color values ​​(e.g. R G and B) but that is not so easy since there should also be many different results depending on the color format I am working with.

On the other hand, I don’t know how to solve it using ML. It would be easy to recognize the exact color values ​​0, 2, 5, 10, 25, 50 and 100 – but how can I have intermediate values ​​determined? What do you think? Which approach is the better one? If you have a tip for me, that I know in which direction I have to think further would be great! And if you have an idea how I can work on my problem I would be so grateful!!! … otherwise I think I will need the coming days to find some solution.

Thank you in advance! Chris

Comparative size of lattice of subgroups and lattice of the intermediate fields

If an extension of fields $ E/F$ is normal and separable, Galois theory tells us that the intermediate fields $ E \supset M \supset F$ are in 1-1 correspondence with the proper of the Galois group $ \operatorname{Gal}(E/F)$ . But if the extension is for instance not normal, then which lattice is in general bigger? The one of the subgroups or the one of the intermediate fields? Are there easy example for the case “the latice of the intermediate fields is bigger”/“the lattice of the subgroups is bigger”?