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HTML

              
                
              
            
!

CSS

              
                body,
html {
  width: 100%;
  height: 100%;
  margin: 0;
  padding: 0;
  font-family: monospace;
  text-shadow: 1px 1px 2px #000;
  font-size: 19px;
  color: #fff;
}

#original {
  display: none;
  flex-flow: row wrap;
  width: 100%;
}

#Sorted {
  display: flex;
  flex-flow: row wrap;
  width: 100%;
}

#Sorted div {
  padding: 2px;
}
#Pusher {
  position: relative;
  top: 100px;
}

#hueSort {
  position: relative;
  top: 150px;
}
              
            
!

JS

              
                const coloursArray = ['#ffffff', '#eaeaea', '#666666', '#dddddd', '#c5c5c5', '#f4f4f4', '#000000', '#74cf9b', '#cccccc', '#00a4d6', '#0045b7', '#1c1c1c', '#222222', '#04c04c', '#f9f9f7', '#f89406', '#e5e5e5', '#f5f5f5', '#049cdb', '#a80808', '#5bc0de', '#0077b3', '#3a87ad', '#ee5f5b', '#111111', '#2f96b4', '#040404', '#f3e97a', '#fdf59a', '#46a546', '#149bdf', '#62c462', '#b3b3b3', '#c09853', '#f2f2f2', '#f9f9f9', '#fbb450', '#00286b', '#0480be', '#151515', '#155a95', '#29d29d', '#339bb9', '#444444', '#57a957', '#999999', '#c43c35', '#f3c17a', '#fdd49a', '#ffaa07', '#333333', '#777777', '#bd362f', '#eeeeee', '#ff959f', '#fffac8', '#2d6987', '#356635', '#7ab5d3', '#7aba7b', '#953b39', '#b1f4ce', '#cdf6ff', '#d59392', '#d9edf7', '#dbc59e', '#e6e6e6', '#e8f9ff', '#fcf8e3', '#ff726d', '#002b80', '#007ed2', '#368959', '#36f36f', '#3fb773', '#48c9e2', '#6f8092', '#a47e3c', '#c00c00', '#c18c91', '#c6c6c6', '#efefef', '#f7f7f7', '#0085ad', '#08c08c', '#0d3a5f', '#0e0e0e', '#0e90d2', '#1a1a1a', '#1b1b1b', '#1f6377', '#252525', '#343434', '#3b3b3b', '#3c3c3c', '#3e999f', '#4271ae', '#49afcd', '#4ae4ae', '#4bb1cf', '#4d4d4c', '#58b668', '#5a5a5a', '#5bd75b', '#5eb95e', '#61c87c', '#718c00', '#8959a8', '#8c2823', '#8e908c', '#9eecfe', '#9f9f9f', '#a6a6a6', '#a7a7a7', '#ad6704', '#b7b7b7', '#b94a48', '#bbbbbb', '#bce8f1', '#bfbfbf', '#c4e3f3', '#c67605', '#c82829', '#d0e9c6', '#d14d14', '#d1d1d1', '#d65652', '#d6d6d6', '#d8f4ff', '#dd514c', '#e1e1e8', '#e7e7e7', '#e8e8e8', '#e9e9e9', '#ea3b36', '#eab700', '#eaeff1', '#ebcccc', '#eddd34', '#ededed', '#eeeff0', '#f0fafc', '#f1fbff', '#f3d17a', '#f5871f', '#f7f7f9', '#f7f9fa', '#f8f8f8', '#faa732', '#faf2cc', '#fafafa', '#fbeed5', '#fca107', '#fcee4f', '#fcfcfc', '#fde19a', '#fdfde4', '#ffc8c8', '#ffe2e2'];
const count = {
  ffffff: 138, eaeaea: 54, 666666: 41, dddddd: 37, c5c5c5: 35, f4f4f4: 30, '000000': 26, '74cf9b': 25, cccccc: 24, '00a4d6': 22, '0045b7': 20, '1c1c1c': 20, 222222: 18, '04c04c': 16, f9f9f7: 16, f89406: 15, e5e5e5: 14, f5f5f5: 14, '049cdb': 13, a80808: 12, '5bc0de': 11, '0077b3': 10, '3a87ad': 10, ee5f5b: 10, 111111: 9, '2f96b4': 9, '040404': 8, f3e97a: 8, fdf59a: 8, '46a546': 7, '149bdf': 6, '62c462': 6, b3b3b3: 6, c09853: 6, f2f2f2: 6, f9f9f9: 6, fbb450: 6, '00286b': 5, '0480be': 5, 151515: 5, '155a95': 5, '29d29d': 5, '339bb9': 5, 444444: 5, '57a957': 5, 999999: 5, c43c35: 5, f3c17a: 5, fdd49a: 5, ffaa07: 5, 333333: 4, 777777: 4, bd362f: 4, eeeeee: 4, ff959f: 4, fffac8: 4, '2d6987': 3, 356635: 3, '7ab5d3': 3, '7aba7b': 3, '953b39': 3, b1f4ce: 3, cdf6ff: 3, d59392: 3, d9edf7: 3, dbc59e: 3, e6e6e6: 3, e8f9ff: 3, fcf8e3: 3, ff726d: 3, '002b80': 2, '007ed2': 2, 368959: 2, '36f36f': 2, '3fb773': 2, '48c9e2': 2, '6f8092': 2, a47e3c: 2, c00c00: 2, c18c91: 2, c6c6c6: 2, efefef: 2, f7f7f7: 2, '0085ad': 1, '08c08c': 1, '0d3a5f': 1, '0e0e0e': 1, '0e90d2': 1, '1a1a1a': 1, '1b1b1b': 1, '1f6377': 1, 252525: 1, 343434: 1, '3b3b3b': 1, '3c3c3c': 1, '3e999f': 1, '4271ae': 1, '49afcd': 1, '4ae4ae': 1, '4bb1cf': 1, '4d4d4c': 1, '58b668': 1, '5a5a5a': 1, '5bd75b': 1, '5eb95e': 1, '61c87c': 1, '718c00': 1, '8959a8': 1, '8c2823': 1, '8e908c': 1, '9eecfe': 1, '9f9f9f': 1, a6a6a6: 1, a7a7a7: 1, ad6704: 1, b7b7b7: 1, b94a48: 1, bbbbbb: 1, bce8f1: 1, bfbfbf: 1, c4e3f3: 1, c67605: 1, c82829: 1, d0e9c6: 1, d14d14: 1, d1d1d1: 1, d65652: 1, d6d6d6: 1, d8f4ff: 1, dd514c: 1, e1e1e8: 1, e7e7e7: 1, e8e8e8: 1, e9e9e9: 1, ea3b36: 1, eab700: 1, eaeff1: 1, ebcccc: 1, eddd34: 1, ededed: 1, eeeff0: 1, f0fafc: 1, f1fbff: 1, f3d17a: 1, f5871f: 1, f7f7f9: 1, f7f9fa: 1, f8f8f8: 1, faa732: 1, faf2cc: 1, fafafa: 1, fbeed5: 1, fca107: 1, fcee4f: 1, fcfcfc: 1, fde19a: 1, fdfde4: 1, ffc8c8: 1, ffe2e2: 1,
};

function displayColor(color, parent) {
  const div = document.createElement('div');
  div.style.backgroundColor = color;
  div.style.width = '100px';
  div.style.height = '100px';
  div.style.cssFloat = 'left';
  div.style.position = 'relative';
  console.log(color.substring(1, 7), count[color.substring(1, 7)]);
  let newContent = document.createTextNode(color);
  div.appendChild(newContent);
  const br = document.createElement('br');
  div.appendChild(br);
  newContent = document.createTextNode(count[color.substring(1, 7)]);
  div.appendChild(newContent);
  parent.appendChild(div);
}

function displayColors(id, colors) {
  const div = document.createElement('div');
  div.id = id;
  for (let i = 0; i < colors.length; i++) {
    displayColor(colors[i], div);
  }
  document.body.appendChild(div);
}

function hexToRgb(hex) {
  hex = hex.substring(1, hex.length);
  const r = parseInt((hex).substring(0, 2), 16);
  const g = parseInt((hex).substring(2, 4), 16);
  const b = parseInt((hex).substring(4, 6), 16);

  return [r, g, b];
}

function rgbToHex(rgb) {
  return `#${  ((1 << 24) + (rgb[0] << 16) + (rgb[1] << 8) + rgb[2]).toString(16).slice(1)}`;
}
function rgbToHsl(r, g, b) {
  const max = Math.max(r, g, b);
  const min = Math.min(r, g, b);
  const l = (max + min) / 2;
  let h;
  let s;

  if (max === min) {
    h = 0;
    s = 0; // achromatic
  } else {
    const d = max - min;
    s = l > 0.5 ? d / (2 - max - min) : d / (max + min);
    switch (max) {
      case r:
        h = ((g - b) / d) + (g < b ? 6 : 0);
        break;
      case g:
        h = ((b - r) / d) + 2;
        break;
      case b:
        h = ((r - g) / d) + 4;
        break;
    }
    h /= 6;
  }
  return new Array(h * 360, s * 360, l * 360);
}

function rgb2hsv() {
  const r = arguments[0] / 255;
  const g = arguments[1] / 255;
  const b = arguments[2] / 255;
  const v = Math.max(r, g, b);
  const diff = v - Math.min(r, g, b);
  const diffc = function (c) {
    return ((v - c) / 6 / diff) + (1 / 2);
  };
  let h;
  let s;
  let rr;
  let bb;
  let gg;

  if (diff === 0) {
    h = 0;
    s = 0;
  } else {
    s = diff / v;
    rr = diffc(r);
    gg = diffc(g);
    bb = diffc(b);

    if (r === v) {
      h = bb - gg;
    } else if (g === v) {
      h = ((1 / 3) + rr) - bb;
    } else if (b === v) {
      h = ((2 / 3) + gg) - rr;
    }

    if (h < 0) {
      h += 1;
    } else if (h > 1) {
      h -= 1;
    }
  }

  return [Math.round(h * 360), Math.round(s * 360), Math.round(v * 360)];
}

const balance = [0.90, 0, 0.01];
//var balance = [10, 0.03, 0.02];
//var balance = [10,5,0];
//var balance = [100,0,0];
//var balance = [10, .05, .01];
//var balance = [0,0,1];
//var balance = [5,2,2];
const balance2 = [0.3, 0, 0];
const balance3 = [0.5, 0.2, 0.1];

function colorDistanceHsl(_color1, _color2) {
  let color1 = _color1;
  let color2 = _color2;
  let result = 0;
  color1 = rgbToHsl(color1[0], color1[1], color1[2]);
  color2 = rgbToHsl(color2[0], color2[1], color2[2]);
  for (let i = 0; i < 3; i++) {
    result += (color1[i] - color2[i]) * (color1[i] - color2[i]) * balance2[i];
  }
  if (Math.floor(color1[0] / 30) !== Math.floor(color2[0] / 30)) {
    return 0;
  }
  return result;
}

function colorDistanceRgb(_color1, _color2) {
  const color1 = _color1;
  const color2 = _color2;
  let result = 0;
  for (let i = 0; i < 3; i++) {
    result += (color1[i] - color2[i]) * (color1[i] - color2[i]) * balance3[i];
  }
  return result;
}

function colorDistance(_color1, _color2) {
  let color1 = _color1;
  let color2 = _color2;
  let result = 0;
  result += colorDistanceRgb(color1, color2);
  result += colorDistanceHsl(color1, color2);
  color1 = rgb2hsv(color1[0], color1[1], color1[2]);
  color2 = rgb2hsv(color2[0], color2[1], color2[2]);
  // console.log('color1',color1);
  // console.log('color2',color2);
  for (let i = 0; i < 3; i++) {
    result += (color1[i] - color2[i]) * (color1[i] - color2[i]) * balance[i];
    // console.log('(color1[i] - color2[i])',(color1[i] - color2[i]));
    // console.log('balance[i]',balance[i]);
  }
  return result;
}

function sortColors(colors) {
 // Calculate distance between each color
  const distances = [];
  for (let i = 0; i < colors.length; i++) {
    distances[i] = [];
    for (let j = 0; j < i; j++) {
      distances.push([colors[i], colors[j], colorDistance(colors[i], colors[j])]);
    }
  }
  distances.sort((a, b) => a[2] - b[2]);

  // Put each color into separate cluster initially
  const colorToCluster = {};
  for (let i = 0; i < colors.length; i++) { colorToCluster[colors[i]] = [colors[i]]; }

  // Merge clusters, starting with lowest distances
  let lastCluster;
  for (let i = 0; i < distances.length; i++) {
    const color1 = distances[i][0];
    const color2 = distances[i][1];
    const cluster1 = colorToCluster[color1];
    const cluster2 = colorToCluster[color2];
    if (!cluster1 || !cluster2 || cluster1 === cluster2) { continue; }

    // Make sure color1 is at the end of its cluster and
    // color2 at the beginning.
    if (color1 !== cluster1[cluster1.length - 1]) { cluster1.reverse(); }
    if (color2 !== cluster2[0]) { cluster2.reverse(); }

    // Merge cluster2 into cluster1
    cluster1.push(...cluster2);
    delete colorToCluster[color1];
    delete colorToCluster[color2];
    colorToCluster[cluster1[0]] = cluster1;
    colorToCluster[cluster1[cluster1.length - 1]] = cluster1;
    lastCluster = cluster1;
  }

  // By now all colors should be in one cluster
  return lastCluster;
}

//displayColors('Original', coloursArray);
console.log('coloursArray.length', coloursArray.length);
const rgbArr = coloursArray.map(hexToRgb);
console.log('rgbArr.length', rgbArr.length);
const sortedRgbArr = sortColors(rgbArr);
console.log('sortedRgbArr.length', sortedRgbArr.length);
const finalArray = sortedRgbArr.map(rgbToHex);
displayColors('Sorted', finalArray);

              
            
!
999px

Console