How to vertically align all text in CSS?

The issue seems to be that certain letters like g, y, q, etc. that have a tail that slopes downwards, do not allow for vertical centering. Here's an image to showcase the problem .

The characters in the green box are basically perfect, as they have no downward tail. Those in the red box demonstrate the problem.

I would like for all characters to be perfectly vertically centered. In the image, characters with a downward tail are not vertically centered. Is this possible to rectify?

Here is the fiddle that demonstrates the problem in full.

.avatar {
    border-radius: 50%;
    display: inline-block;
    text-align: center;
    width: 125px;
    height: 125px;
    font-size: 60px;
    background-color: rgb(81, 75, 93);
    font-family: "Segoe UI";
    margin-bottom: 10px;
}

.character {
    position: relative;
    top: 50%;
    transform: translateY(-50%);
    line-height: 100%;
    color: #fff;
}

<div class="avatar">
  <div class="character">W</div>
</div>

<div class="avatar">
  <div class="character">y</div>
</div>

Here is my solution using JS. The idea is to transform the element into an image in order to get its data as pixel then loop through them to find the top and bottom of each character and apply a translation to fix the alignment. This will work with dynamic font properties.

The code is not optimized but it highlight the main idea:

var elems = document.querySelectorAll(".avatar");

var fixes = [];


for (var i = 0; i < elems.length; i++) {
  var current = elems[i];
  domtoimage.toPixelData(current)
    .then(function(im) {
      /* Search for the top limit */
      var t = 0;
      for (var y = 0; y < current.scrollHeight; ++y) {
        for (var x = 0; x < current.scrollWidth; ++x) {
          var j = (4 * y * current.scrollHeight) + (4 * x);
          if (im[j] == 255 && im[j + 1] == 255 && im[j + 2] == 255) {
            t = y;
            break;
          }
        }
      }
      /* Search the bottom limit*/
      var b = 0;
      for (var y = (current.scrollHeight - 1); y >= 0; --y) {
        for (var x = (current.scrollWidth - 1); x >= 0; --x) {
          var j = (4 * y * current.scrollHeight) + (4 * x);
          if (im[j] == 255 && im[j + 1] == 255 && im[j + 2] == 255) {
            b = current.scrollHeight - y;
            break;
          }
        }
      }
      /* get the difference and apply a translation*/
      var diff = (b - t)/2;
      fixes.push(diff);
      /* we apply the translation when all are calculated*/
      if(fixes.length == elems.length) {
        for (var k = 0; k < elems.length; k++) {
          elems[k].querySelector('.character').style.transform = "translateY(" + fixes[k] + "px)";
        }
      }
    });
}

.avatar {
  border-radius: 50%;
  display: inline-flex;
  vertical-align:top;
  justify-content: center;
  align-items: center;
  width: 125px;
  height: 125px;
  font-size: 60px;
  background: 
    linear-gradient(red,red) center/100% 1px no-repeat,
    rgb(81, 75, 93);
  font-family: "Segoe UI";
  margin-bottom: 10px;
}

.character {
  color: #fff;
}

<script type="text/javascript" src="https://css-challenges.com/wp-content/themes/ronneby_child/js/dom-to-image.js"></script>
<div class="avatar">
  <div class="character">W</div>
</div>

<div class="avatar">
  <div class="character">y</div>
</div>

<div class="avatar">
  <div class="character" style="font-size:35px">a</div>
</div>

<div class="avatar">
  <div class="character" style="font-size:25px">2</div>
</div>
<div class="avatar">
  <div class="character">o</div>
</div>
<div class="avatar">
  <div class="character">|</div>
</div>
<div class="avatar">
  <div class="character">@</div>
</div>
<div class="avatar">
  <div class="character">Â</div>
</div>

<div class="avatar">
  <div class="character" style="font-family:arial">Q</div>
</div>
<div class="avatar">
  <div class="character">~</div>
</div>
<div class="avatar">
  <div class="character">8</div>
</div>

<div class="avatar">
  <div class="character">ä</div>
</div>
<div class="avatar">
  <div class="character">ç</div>
</div>

<div class="avatar">
  <div class="character">$</div>
</div>

<div class="avatar">
  <div class="character">></div>
</div>
<div class="avatar">
  <div class="character">%</div>
</div>

UPDATE

Here is a first optimization of the code:

var elems = document.querySelectorAll(".avatar");
var k = 0;

for (var i = 0; i < elems.length; i++) {
  domtoimage.toPixelData(elems[i])
    .then(function(im) {
     var l = im.length;
      /* Search for the top limit */
      var t = 0;
      for (var j = 0; j < l; j+=4) {
          if (im[j+1] == 255) { /* Since we know the colors, we can only test the G composant */
            t = Math.ceil((j/4)/125);
            break;
          }
      }
      /* Search the bottom limit*/
      var b = 0;
      for (var j = l - 1; j >= 0; j-=4) {
          if (im[j+1] == 255) {
            b = 125 - Math.ceil((j/4)/125);
            break;
          }
      }
      /* get the difference and apply a translation*/
      elems[k].querySelector('.character').style.transform = "translateY(" + (b - t)/2 + "px)";
      k++;
    });
}

.avatar {
  border-radius: 50%;
  display: inline-flex;
  vertical-align:top;
  justify-content: center;
  align-items: center;
  width: 125px;
  height: 125px;
  font-size: 60px;
  background: 
    linear-gradient(red,red) center/100% 1px no-repeat,
    rgb(81, 75, 93);
  font-family: "Segoe UI";
  margin-bottom: 10px;
}

.character {
  color: #fff;
}

<script type="text/javascript" src="https://css-challenges.com/wp-content/themes/ronneby_child/js/dom-to-image.js"></script>
<div class="avatar">
  <div class="character">W</div>
</div>

<div class="avatar">
  <div class="character">y</div>
</div>

<div class="avatar">
  <div class="character" style="font-size:35px">a</div>
</div>

<div class="avatar">
  <div class="character" style="font-size:25px">2</div>
</div>
<div class="avatar">
  <div class="character">o</div>
</div>
<div class="avatar">
  <div class="character">|</div>
</div>
<div class="avatar">
  <div class="character">@</div>
</div>
<div class="avatar">
  <div class="character">Â</div>
</div>

<div class="avatar">
  <div class="character" style="font-family:arial">Q</div>
</div>
<div class="avatar">
  <div class="character">~</div>
</div>
<div class="avatar">
  <div class="character">8</div>
</div>

<div class="avatar">
  <div class="character">ä</div>
</div>
<div class="avatar">
  <div class="character">ç</div>
</div>

<div class="avatar">
  <div class="character">$</div>
</div>

<div class="avatar">
  <div class="character">></div>
</div>
<div class="avatar">
  <div class="character">%</div>
</div>

_{I am using dom-to-image plugin for this.}

Maybe there is a better answer, but it sounds like the only way to is to manually apply different styles depending on whether it is one of:

Capital letter
Lowercase with a tail
Lowercase with a stalk
Lowercase with neither

Now note that, in my understanding, the relative heights of tails and stalks I think is defined by the font. I'm not sure if there's a way to access that programatically - so you might need to adjust these values with the font.

Note also that this solution wouldn't work for supporting multiple languages - as you would need to define which category every single character fits in across dozens of different character sets.

const letters = ['a', 'b', 'y', 'X', 'c', 'y', 'A', 'B', 'Y']; 

function getAdditionalClass(char){
    //To do - fill arrays with the rest of the appropriate letters
    if (['y', 'g'].includes(char)) {
        return "tail"; 
    }
    if (['b', 'd'].includes(char)) {
        return "stalk"; 
    }
    
    if (['a', 'c'].includes(char)) {
        return "small"; 
    }
    
    return "capital"; 
}

letters.forEach(v => {
  const avatar = document.createElement("div"); 
  avatar.className = "avatar"; 
  const character = document.createElement("div");
  character.textContent = v; 
  character.className = `character ${getAdditionalClass(v)}`; 
  
  avatar.appendChild(character); 
  
  const root = document.getElementById("root"); 
  
  root.appendChild(avatar); 
  
});

.avatar {
    border-radius: 50%;
    display: block;
    text-align: center;
    width: 125px;
    height: 125px;
    font-size: 60px;
    background-color: rgb(81, 75, 93);
    font-family: "Segoe UI";
    margin-bottom: 10px;
}

.character {
    position: relative;
    transform: translateY(-50%);
    line-height: 100%;
    color: #fff;
}


.small {
    top: 45%; 
}

.stalk {
    top: 50%;
}

.tail {
    top: 41%;
}

.capital {
    top: 50%;
}

#root {
    display: flex; 
    flex-flow: row wrap; 
}

<div id = "root">

</div>

How to vertically align all text in CSS?

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