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[null,"v1.0"]
[null,"How do I use this?"]
[]
[0,"Enable Macros to allow the small VBA module that sets the cell background color to the hex color it gets as input to work."]
[]
[1,"Input a hex color code in Column B."]
[2,"Enter a number into one or more of the Δ fields in Column D, E and F to change the Luminance, Chroma or Hue of the original color you have in Column B."]
[3,"See the effect of your changes in Column L, and compare it to the original color in the adjacent Column K."]
[4,"Copy the hex color code output in Column I for the new color you just generated."]
[null,"If you want the RGB values instead, you will find these in Column BC, BD and BE."]
[]
[5,"You can use the grid of numbers to the right end of the sheet, starting from Column BH onwards to check the contrast ratio between a pair of colors."]
[6,"Find the contrast ratio for a pair of colors by their hex codes in Row 1 and Column I. "]
[null,"The number in the cell where these intersect is their contrast ratio."]
[]
[7,"Changing the Luminance using Column D will change the contrast ratio between two colors. Use this to get to your target contrast."]
[8,"To do this automatically using Goal Seek, select the cell for the contrast ratio you want changed in the grid, "]
[null,"then go to the Data tab at the top of your screen, select What-If-Analysis, then Goal Seek."]
[null,"You can also get to this using the shortcut key sequence ALT+T followed by G."]
[null,"Enter the target value you need in the \"To value:\" field,"]
[null,"Enter Dx in the \"By changing cell:\" field, where x is the same row number you see in the \"Set cell:\" field above,"]
[null,"Hit Ok - your sheet will step through different numbers till it finds something that will get you to your target contrast ratio."]
[]
[9,"Play around! Add more colors into Rows 4 to 43 and use the power of Goal Seek and other formulae in Excel to generate your colors and ramps."]
[10,"Reach out to me on LinkedIn with questions or feedback: https://www.linkedin.com/in/sjamdar/ "]
[]
[]
[]
[null,"Some Definitions"]
[]
[null,"Hue - h (measured in degrees or radians)"]
[null,"Hue is the degree to which a stimulus can be described as similar to or different from stimuli that are described as red, orange, yellow, green, blue, violet. Think of it as the position of the color on the color wheel."]
[]
[null,"Chroma - C (no units)"]
[null,"Chroma is the colorfulness of an area judged as a proportion of the brightness of a similarly illuminated area that appears white or highly transmitting. As a result, chroma is mostly only dependent on the spectral properties, and as such is seen to describe the object color. It is how different from a grey of the same lightness such an object color appears to be. Think of it as what we would often term how \"Saturated\" the color looks."]
[null,"Luminance - L (measured in candela pre sq. meter)"]
[null,"Luminance is a photometric measure of the luminous intensity per unit area of light travelling in a given direction. It describes the amount of light that passes through, is emitted from, or is reflected from a particular area, and falls within a given solid angle. Think of it as how bright something an object or a block of color looks."]
[]
[null,"Relative Luminance - Y (no units)"]
[null,"Relative luminance follows the photometric definition of luminance including spectral weighting for human vision. Relative luminance values are normalized as 0.0 to 1.0, with 1.0 being a theoretical perfect reflector of 100% reference white. This is what is used for calculating contrast ratio to test for Accessibility requirements."]
[]
[null,"sRGB Color Space"]
[null,"sRGB is the current defined standard color space for the web, and it is usually the assumed color space for images. Colors in sRGB can be easily derived from Hex color codes we see on the web by splitting the Hex code into it's R, G, and B components and dividing these by 255."]
[null,"https://en.wikipedia.org/wiki/SRGB "]
[]
[null,"Gamma Correction"]
[null,"Gamma correction is a nonlinear operation used to encode and decode luminance in video or still image systems. The values in the sRGB space that we are familiar with on the web as Hex or RGB color codes need to be transformed to Linear RGB before they can be used for further manipulation. "]
[null,"https://en.wikipedia.org/wiki/Gamma_correction "]
[]
[null,"Lab Color Space"]
[null,"A color space defined by the International Commission on Illumination (CIE) in 1976. The L here is the color's Luminance, a represents where the color lies on the red-green axis, while b does this for the blue-yellow axis."]
[null,"https://en.wikipedia.org/wiki/CIELAB_color_space "]
[]
[]
[]
[null,"Acknowledgements"]
[]
[null,"The OKLab Color Space & Transforms"]
[null,"This tool would not be as accurate, and certainly not as easy to have put together had it not been for Björn Ottosson's excellent work and his openness to sharing it, including the all critical Transform Matrices. I would have had to convert Linear RGB into XYZ, then LMS, then OKLab if he had not also provided the direct Transform Matrix for this."]
[null,"https://bottosson.github.io/posts/oklab/ "]
[]
[]
[null,"Coloring Excel cells with a user defined function"]
[null,"Thanks to Tim Williams for his answer on StackOverflow that was the basis for the myHex function I've used in this tool."]
[null,"https://stackoverflow.com/questions/33179452/change-a-cells-background-color-dynamically-according-to-a-rgb-value-stored-in "]
[]
[]
[null,"Web Content Accessibility Guidelines (WCAG) 2.2"]
[null,"Thanks to the editors and everyone involved in the Accessibility Guidelines Working Group for laying out the standards we must strive to follow and explaining how to test for them clearly."]
[null,"https://www.w3.org/TR/WCAG22/ "]
[]
[]
[null,"Information on Color Appearance Models"]
[null,"None of this would have been possible without dipping my toes into the ocean of information and research that exists on the subject of human vision and color perception at Wikipedia."]
[null,"https://en.wikipedia.org/wiki/Color_appearance_model "]
[]
[]
[null,"How to use Goal Seek"]
[null,"I was introduced to one of the key mechanisms that makes this tool powerful by Niki, my wife, who uses Excel extensively in her work as a Financial Planning and Analysis professional. I may never have built this if I didn’t realize how powerful Goal Seek can be."]
[]
[]
[]
[null,"Suggested Further Reading"]
[]
[null,"A Physiologically-based Model for Simulation of Color Vision Deficiency"]
[null,"Gustavo M. Machado, Manuel M. Oliveira and Leandro A. F. Fernandes have done some fantastic work on simulating color blindness, that I plan to incorporate into this tool in the future."]
[null,"https://www.inf.ufrgs.br/~oliveira/pubs_files/CVD_Simulation/CVD_Simulation.html "]
[]
[]
[null,"ZCAM"]
[null,"Another model based on a Uniform Color Space that also works for HDR content - something I plan to explore in the future."]
[null,"https://opg.optica.org/oe/fulltext.cfm?uri=oe-29-4-6036&id=447640 "]
[]
[]
[null,"How to create User Defined Functions in Excel"]
[null,"Useful if you want to do things that are more complex in Excel, but don’t want to build out your own standalone app."]
[null,"https://support.microsoft.com/en-us/office/create-custom-functions-in-excel-2f06c10b-3622-40d6-a1b2-b6748ae8231f "]

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'C'!$D$139, $AT43 * 'C'!$D$138)","v":0.99999999999999989},{"$f":"IF($AU43>'C'!$D$142, ($AU43 ^ (1/'C'!$D$141) * 'C'!$D$140) - 'C'!$D$139, $AU43 * 'C'!$D$138)","v":0.99999999120833316},{"$f":"IF($AV43>'C'!$D$142, ($AV43 ^ (1/'C'!$D$141) * 'C'!$D$140) - 'C'!$D$139, $AV43 * 'C'!$D$138)","v":0.99999987252082245},null,255,255,255,null,"",{"$f":"IFERROR(ROUNDDOWN((MAX(BH$2,$J43) + 'C'!$D$57) / (MIN(BH$2,$J43) + 'C'!$D$57),1),\"\")","v":1.6},{"$f":"IFERROR(ROUNDDOWN((MAX(BI$2,$J43) + 'C'!$D$57) / (MIN(BI$2,$J43) + 'C'!$D$57),1),\"\")","v":1.7},{"$f":"IFERROR(ROUNDDOWN((MAX(BJ$2,$J43) + 'C'!$D$57) / (MIN(BJ$2,$J43) + 'C'!$D$57),1),\"\")","v":1.5},{"$f":"IFERROR(ROUNDDOWN((MAX(BK$2,$J43) + 'C'!$D$57) / (MIN(BK$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(BL$2,$J43) + 'C'!$D$57) / (MIN(BL$2,$J43) + 'C'!$D$57),1),\"\")","v":20.9},{"$f":"IFERROR(ROUNDDOWN((MAX(BM$2,$J43) + 'C'!$D$57) / (MIN(BM$2,$J43) + 'C'!$D$57),1),\"\")","v":11.2},{"$f":"IFERROR(ROUNDDOWN((MAX(BN$2,$J43) + 'C'!$D$57) / (MIN(BN$2,$J43) + 'C'!$D$57),1),\"\")","v":18.899999999999999},{"$f":"IFERROR(ROUNDDOWN((MAX(BO$2,$J43) + 'C'!$D$57) / (MIN(BO$2,$J43) + 'C'!$D$57),1),\"\")","v":15.3},{"$f":"IFERROR(ROUNDDOWN((MAX(BP$2,$J43) + 'C'!$D$57) / (MIN(BP$2,$J43) + 'C'!$D$57),1),\"\")","v":1.5},{"$f":"IFERROR(ROUNDDOWN((MAX(BQ$2,$J43) + 'C'!$D$57) / (MIN(BQ$2,$J43) + 'C'!$D$57),1),\"\")","v":1.2},{"$f":"IFERROR(ROUNDDOWN((MAX(BR$2,$J43) + 'C'!$D$57) / (MIN(BR$2,$J43) + 'C'!$D$57),1),\"\")","v":7.7},{"$f":"IFERROR(ROUNDDOWN((MAX(BS$2,$J43) + 'C'!$D$57) / (MIN(BS$2,$J43) + 'C'!$D$57),1),\"\")","v":3.9},{"$f":"IFERROR(ROUNDDOWN((MAX(BT$2,$J43) + 'C'!$D$57) / (MIN(BT$2,$J43) + 'C'!$D$57),1),\"\")","v":8.6999999999999993},{"$f":"IFERROR(ROUNDDOWN((MAX(BU$2,$J43) + 'C'!$D$57) / (MIN(BU$2,$J43) + 'C'!$D$57),1),\"\")","v":5},{"$f":"IFERROR(ROUNDDOWN((MAX(BV$2,$J43) + 'C'!$D$57) / (MIN(BV$2,$J43) + 'C'!$D$57),1),\"\")","v":3.8},{"$f":"IFERROR(ROUNDDOWN((MAX(BW$2,$J43) + 'C'!$D$57) / (MIN(BW$2,$J43) + 'C'!$D$57),1),\"\")","v":2.1},{"$f":"IFERROR(ROUNDDOWN((MAX(BX$2,$J43) + 'C'!$D$57) / (MIN(BX$2,$J43) + 'C'!$D$57),1),\"\")","v":1.3},{"$f":"IFERROR(ROUNDDOWN((MAX(BY$2,$J43) + 'C'!$D$57) / (MIN(BY$2,$J43) + 'C'!$D$57),1),\"\")","v":2.1},{"$f":"IFERROR(ROUNDDOWN((MAX(BZ$2,$J43) + 'C'!$D$57) / (MIN(BZ$2,$J43) + 'C'!$D$57),1),\"\")","v":8.6999999999999993},{"$f":"IFERROR(ROUNDDOWN((MAX(CA$2,$J43) + 'C'!$D$57) / (MIN(CA$2,$J43) + 'C'!$D$57),1),\"\")","v":1.8},{"$f":"IFERROR(ROUNDDOWN((MAX(CB$2,$J43) + 'C'!$D$57) / (MIN(CB$2,$J43) + 'C'!$D$57),1),\"\")","v":3.6},{"$f":"IFERROR(ROUNDDOWN((MAX(CC$2,$J43) + 'C'!$D$57) / (MIN(CC$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CD$2,$J43) + 'C'!$D$57) / (MIN(CD$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CE$2,$J43) + 'C'!$D$57) / (MIN(CE$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CF$2,$J43) + 'C'!$D$57) / (MIN(CF$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CG$2,$J43) + 'C'!$D$57) / (MIN(CG$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CH$2,$J43) + 'C'!$D$57) / (MIN(CH$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CI$2,$J43) + 'C'!$D$57) / (MIN(CI$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CJ$2,$J43) + 'C'!$D$57) / (MIN(CJ$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CK$2,$J43) + 'C'!$D$57) / (MIN(CK$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CL$2,$J43) + 'C'!$D$57) / (MIN(CL$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CM$2,$J43) + 'C'!$D$57) / (MIN(CM$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CN$2,$J43) + 'C'!$D$57) / (MIN(CN$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CO$2,$J43) + 'C'!$D$57) / (MIN(CO$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CP$2,$J43) + 'C'!$D$57) / (MIN(CP$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CQ$2,$J43) + 'C'!$D$57) / (MIN(CQ$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CR$2,$J43) + 'C'!$D$57) / (MIN(CR$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CS$2,$J43) + 'C'!$D$57) / (MIN(CS$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CT$2,$J43) + 'C'!$D$57) / (MIN(CT$2,$J43) + 'C'!$D$57),1),\"\")","v":1},{"$f":"IFERROR(ROUNDDOWN((MAX(CU$2,$J43) + 'C'!$D$57) / (MIN(CU$2,$J43) + 'C'!$D$57),1),\"\")","v":1}]

{"sheet":"C","index":2,"n_rows":155,"n_cols":8,"rows_kept":155,"cut":false,"hidden":false,"merged":[]}
[null,"Conversions"]
[null,"From RGB to Lab and back again!"]
[]
[]
[]
[1,"Convert Hex Triplet to RGB"]
[]
[null,"Split the triplet into its 3 parts using MID()"]
[null,"Convert Hex to Decimal using HEX2DEC() on each part"]
[null,"CRGB = HEX2DEC(CHex)"]
[]
[]
[]
[2,"Convert 8-bit RGB to sRGB"]
[]
[null,"CsRGB = (C8-bit / 255)"]
[]
[]
[]
[3,"Convert sRGB color to Linear RGB (gamma expansion)"]
[null,"Source: https://en.wikipedia.org/wiki/SRGB"]
[]
[null,"Clinear = (CsRGB / 12.92) when CsRGB ≤ 0.04045"]
[]
[null,"Clinear = (((CsRGB + 0.055) / 1.055))^ 2.4 when CsRGB > 0.04045"]
[]
[]
[null,null,null,"Constants"]
[null,null,"a",{"$f":"12.92","v":12.92}]
[null,null,"b",5.5E-2]
[null,null,"c",1.0549999999999999]
[null,null,"d",2.4]
[null,null,"e",4.045E-2]
[]
[]
[]
[4,"Calculate Relative Luminance of Linear RGB color (for accessibility contrast ratio check)"]
[null,"Source: https://www.w3.org/TR/WCAG22/#dfn-relative-luminance"]
[]
[null,"Y = 0.2126 * Rlinear + 0.7152 * Glinear + 0.0722 * Blinear"]
[]
[]
[null,null,null,"Constants"]
[null,null,"f",0.21260000000000001]
[null,null,"g",0.71519999999999995]
[null,null,"h",7.22E-2]
[]
[]
[]
[5,"Calculate Contrast Ratio"]
[null,"Source: https://www.w3.org/TR/WCAG22/#dfn-contrast-ratio"]
[]
[null,"CR = (YLighter Color + 0.05) / (YDarker Color + 0.05)"]
[]
[]
[null,null,null,"Constants"]
[null,null,"i",0.05]
[null,null,"Text AA",4.5,":1"]
[null,null,"Large Text AA",3,":1"]
[null,null,"Non-Text AA",3,":1"]
[null,null,"Text AAA",7,":1"]
[null,null," Large Text AAA",4.5,":1"]
[]
[]
[]
[6,"Convert Linear RGB to LMS"]
[null,"Source: https://bottosson.github.io/posts/oklab/"]
[]
[null,"l",null,0.41222147079999999,0.5363325363,5.1445992900000001E-2,null,"Rlinear"]
[null,"m","=",0.21190349820000001,0.68069954509999997,0.1073969566,"*","Glinear"]
[null,"s",null,8.8302461900000004E-2,0.28171883759999999,0.62997870050000004,null,"Blinear"]
[]
[]
[null,null,null,"Constants"]
[null,null,"precision",8]
[]
[]
[]
[7,"Convert LMS to OK Lab"]
[null,"Source: https://bottosson.github.io/posts/oklab/"]
[]
[null,"L",null,0.2104542553,0.79361778500000002,-4.0720467999999996E-3,null,"l ^(1/3)"]
[null,"a","=",1.9779984951,-2.4285922050000002,0.45059370989999997,"*","m ^(1/3)"]
[null,"b",null,2.5904037099999999E-2,0.7827717662,-0.80867576600000002,null,"s ^(1/3)"]
[]
[]
[null,null,null,"Constants"]
[null,null,"precision",{"$f":"$D$75","v":8}]
[null,null,"power",{"$f":"1/$D$112","v":0.33333333333333331}]
[]
[]
[]
[8,"Calculate OK Lab Chroma & hue"]
[null,"Source: https://bottosson.github.io/posts/oklab/"]
[]
[null,"C = ((a ^ 2) + (b ^ 2)) ^ (1/2)"]
[]
[null,"h∘ = DEGREES( ATAN2(a,b) ) (the Excel function takes the arguments in reverse and returns Radians which we need to convert to degrees)"]
[]
[]
[]
[9,"Convert OK Lab back to LMS"]
[null,"Source: https://bottosson.github.io/posts/oklab/"]
[]
[null,"l ^(1/3)",null,1,0.39633777739999998,0.21580375730000001,null,"L"]
[null,"m ^(1/3)","=",1,-0.1055613458,-6.3854172799999998E-2,"*","a"]
[null,"s ^(1/3)",null,1,-8.9484177499999998E-2,-1.291485548,null,"b"]
[]
[]
[null,null,null,"Constants"]
[null,null,"precision",{"$f":"$D$75","v":8}]
[null,null,"power",3]
[]
[]
[]
[10,"Convert LMS back to Linear RGB"]
[null,"Source: https://bottosson.github.io/posts/oklab/"]
[]
[null,"Rlinear",null,4.0767416620999999,-3.3077115912999999,0.23096992920000001,null,"l"]
[null,"Glinear","=",-1.2684380045999999,2.6097574011,-0.34131939649999998,"*","m"]
[null,"Blinear",null,-4.1960862999999996E-3,-0.7034186147,1.707614701,null,"s"]
[]
[]
[null,null,null,"Constants"]
[null,null,"precision",{"$f":"$D$75","v":8}]
[]
[]
[]
[11,"Convert Linear RGB back to sRGB (gamma correction)"]
[null,"Source: https://en.wikipedia.org/wiki/SRGB"]
[]
[null,"CsRGB = (Clinear * 12.92) when Clinear ≤ 0.0031308"]
[]
[null,"CsRGB = (Clinear ^(1/2.4) * 1.055) - 0.055 when Clinear > 0.0031308"]
[]
[]
[null,null,null,"Constants"]
[null,null,"a",{"$f":"$D$29","v":12.92}]
[null,null,"b",{"$f":"$D$30","v":5.5E-2}]
[null,null,"c",{"$f":"$D$31","v":1.0549999999999999}]
[null,null,"d",{"$f":"$D$32","v":2.4}]
[null,null,"i",3.1308E-3]
[]
[]
[]
[12,"Convert sRGB back to 8-bit RGB"]
[]
[null,"C8-Bit = ROUND(CsRGB * 255, 0) (we need to return to integer values)"]
[]
[]
[]
[13,"Convert RGB back to Hex Triplet"]
[]
[null,"Concatenate the 3 parts ensuring we always output 2 Hex characters for each color"]
[null,"CHex = CONCATENATE(\"#\",DEC2HEX(R8-bit,2),DEC2HEX(G8-bit,2),DEC2HEX(B8-bit,2))"]