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Dice notation

21d58

  • 21d58
  • 21 to 1218
  • mean 619.5

Rolling 21d58 gives a total between 21 and 1,218, with a mean of 619.5 and a standard deviation of 76.7154. There are 10,764,351,351,569,111,513,009,094,806,216,900,608 equally likely ordered outcomes, and the most likely total is 619 or 620 at 0.516%.

The canonical address for this page is /21d58.

The roll

Notation21d58
Dice21
Faces per die58
Minimum total21all 21 dice showing 1
Maximum total1,218all 21 dice showing 58
Distinct totals1,198
Mean619.5n(f + 1)/2 + modifier, exact
Variance5,885.25n(f² − 1)/12, exact
Standard deviation76.71538307≈

Counting the outcomes

Ordered outcomes10,764,351,351,569,111,513,009,094,806,216,900,60858^21, every die distinguishable
Most likely total619 and 620two totals share the peak
Chance of that total0.516289%≈
Ways to roll it55,575,113,939,167,245,969,411,642,600,288,444exact count
Chance of the minimum9.28992345 × 10^-36%≈1 in 10,764,351,351,569,111,513,009,094,806,216,900,608
Chance of the maximum9.28992345 × 10^-36%≈1 in 10,764,351,351,569,111,513,009,094,806,216,900,608

Shape of the distribution

1,198 distinct totals, too many to list individually.

1st percentile442≈1.015% of rolls are this or lower
5th percentile493≈5.038% of rolls are this or lower
25th percentile567≈25.025% of rolls are this or lower
50th percentile620≈50.516% of rolls are this or lower
75th percentile672≈75.386% of rolls are this or lower
95th percentile746≈95.098% of rolls are this or lower
99th percentile797≈99.021% of rolls are this or lower

Chance of rolling at least

141100%≈
32099.9974%≈
62050%≈
9190.0028%≈
1,0985.15897209 × 10^-11%≈

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The same dice, different counts

The same count, different dice

Also reads as

#021D58 (colour)

  • #021D58
  • Blue
  • Dark
  • Nearest: Midnight blue

#021D58 is a blue with RGB values 2, 29, 88 and HSL 221°, 96%, 18%. It is a dark colour, so white text on it reaches 15.9:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

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Colour values

#021D58#021D58
HEX#021D58
RGBrgb(2, 29, 88)
RGB (0–1)0.0078, 0.1137, 0.3451
RGB percentages0.8%, 11.4%, 34.5%
HSLhsl(221.2, 95.6%, 17.6%)
HSV / HSBhsv(221.2, 97.7%, 34.5%)
CMYK97.7%, 67%, 0%, 65.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer138,584
CSS custom property--colour: #021D58;

Brightness & contrast

Relative luminance0.01596WCAG 2.x, 0 is black and 1 is white
Perceived brightness37.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.92:1
Contrast with white15.92:1WCAG normal text: AAA
Contrast with black1.32:1WCAG normal text: Fail
Greyscale equivalent#1C1C1C
Inverted#FDE2A7

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#00265Ano red cones; affects about 1% of men; ΔE 7.6 from the original
Deuteranopia#001E57no green cones; the most common form, about 1% of men; ΔE 1.7 from the original
Tritanopia#002D37no blue cones; rare, and affects men and women equally; ΔE 39 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text15.92:1WCAG large text: AAA
Contrast with black, large text1.32:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 18.7Dark slateblue · ΔE 20.1Rebecca purple · ΔE 33.6Indigo · ΔE 38.4Navy · ΔE 40.4Slate blue · ΔE 42.1
Nearest named CSS colourMidnight blue (#191970)ΔE 18.72, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#583D02
Analogous#024858, #120258
Triadic#58021D, #1D5802
Split complementary#581202, #485802
Tetradic#580248, #583D02, #025812

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#2C6DFA
Lighter +30%#054EEE
Lighter +20%#043EBC
Lighter +10%#032D8A
Darker −10%#010D26
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#001C5A
Less saturated −25%#0D214D

Channel breakdown

R2
G29
B88
Red2 (0.8%)
Green29 (11.4%)
Blue88 (34.5%)
Hue221.16°
Saturation (HSL)95.56%
Lightness17.65%
Dominant channelBlue
Hex per channelR 02 · G 1D · B 58

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