Munsell color system

Incolorimetry,theMunsell color systemis acolor spacethat specifiescolorsbased on three properties of color:hue(basic color), value (lightness), andchroma(color intensity). It was created byAlbert H. Munsellin the first decade of the 20th century and adopted by theUnited States Department of Agriculture(USDA) as the official color system forsoilresearch in the 1930s.

The Munsell color system, showing: a circle of hues at value 5 chroma 6; the neutral values from 0 to 10; and the chromas of purple-blue (5PB) at value 5.

Several earlier color order systems had placed colors into a three-dimensionalcolor solidof one form or another, but Munsell was the first to separate hue, value, and chroma intoperceptually uniformand independent dimensions, and he was the first to illustrate the colors systematically in three-dimensional space.Munsell's system, particularly the later renotations, is based on rigorous measurements of human subjects'visual responsesto color, putting it on a firm experimental scientific basis. Because of this basis in human visual perception, Munsell's system has outlasted its contemporary color models, and though it has been superseded for some uses by models such asCIELAB(L*a*b*) andCIECAM02,it is still in wide use today.

Explanation

Munsell’s color sphere, 1900. Later, Munsell discovered that if hue, value, and chroma were to be kept perceptually uniform, achievable surface colors could not be forced into a regular geometric shape.

Three-dimensional representation of the 1943 Munsell renotations (with portion cut away). Notice the irregularity of the shape when compared with Munsell's earlier color sphere.

The system consists of three independent properties of color which can be representedcylindricallyin three dimensions as an irregularcolor solid:

• hue,measured by degrees around horizontal circles
• chroma,measured radially outward from the neutral (gray) vertical axis
• value,measured vertically on the core cylinder from 0 (black) to 10 (white)

Munsell determined the spacing of colors along these dimensions by taking measurements of human visual responses. In each dimension, Munsell colors are as close to perceptually uniform as he could make them, which makes the resulting shape quite irregular. As Munsell explains:

Desire to fit a chosen contour, such as the pyramid, cone, cylinder or cube, coupled with a lack of proper tests, has led to many distorted statements of color relations, and it becomes evident, when physical measurement of pigment values and chromas is studied, that no regular contour will serve.

— Albert H. Munsell, “A Pigment Color System and Notation”

Hue

Each horizontal circle Munsell divided into five principalhues:Red,Yellow,Green,Blue, andPurple, along with 5 intermediate hues (e.g.,YR) halfway between adjacent principal hues.Each of these 10 steps, with the named hue given number 5, is then broken into 10 sub-steps, so that 100 hues are given integer values. In practice, color charts conventionally specify 40 hues, in increments of 2.5, progressing as for example 10R to 2.5YR.

Two colors of equal value and chroma, on opposite sides of a hue circle, arecomplementary colors,and mixadditivelyto the neutral gray of the same value. The diagram below shows 40 evenly spaced Munsell hues, with complements vertically aligned.

Munsellhues;value 6 / chroma 6

5R |				5YR |				5Y |				5GY |				5G |				5BG |
	201 130 134	201 130 127	201 131 118	200 133 109	197 135 100	193 137 94	187 140 86	181 143 79	173 146 75	167 149 72	160 151 73	151 154 78	141 156 85	127 159 98	115 160 110	101 162 124	92 163 134	87 163 141	82 163 148	78 163 154	73 163 162
5BG |				5B |				5PB |				5P |				5RP |				5R |
	73 163 162	70 162 170	70 161 177	73 160 184	82 158 189	93 156 193	104 154 195	117 151 197	128 149 198	141 145 198	152 142 196	160 140 193	168 138 189	177 135 182	183 134 176	188 132 169	193 131 160	196 130 153	198 130 146	200 130 140	201 130 134

Value

Value,orlightness,varies vertically along the color solid, from black (value 0) at the bottom, to white (value 10) at the top.Neutral grays lie along the vertical axis between black and white.

Several color solids before Munsell's plotted luminosity from black on the bottom to white on the top, with a gray gradient between them, but these systems neglected to keep perceptual lightness constant across horizontal slices. Instead, they plotted fully saturated yellow (light), and fully saturated blue and purple (dark) along the equator.

Chroma

Chroma,measured radially from the center of each slice, represents the “purity” of a color (related tosaturation), with lower chroma being less pure (more washed out, as inpastels).Note that there is no intrinsic upper limit to chroma. Different areas of the color space have different maximal chroma coordinates. For instance light yellow colors have considerably more potential chroma than light purples, due to the nature of theeyeand the physics of color stimuli. This led to a wide range of possible chroma levels—up to the high 30s for some hue–value combinations (though it is difficult or impossible to make physical objects in colors of such high chromas, and they cannot be reproduced on current computer displays). Vivid solid colors are in the range of approximately 8.

Munsellvalue(vertical) andchroma(horizontal); hue 5Y and 5PB

	12	10	8	6	4	2	0	2	4	6	8	10	12
10							255 255 255
9						228 228 250	232 232 232	243 227 207	250 227 178
8					190 201 239	200 200 222	203 203 203	215 200 181	221 200 154	227 200 126	233 199 97	237 199 63
7			142 176 241	154 175 225	164 175 210	173 174 195	179 179 179	188 173 155	194 173 128	200 173 101	205 172 72	210 172 29
6	79 150 244	101 150 227	116 149 213	128 149 198	138 148 182	146 148 168	150 150 150	161 147 129	167 147 103	173 146 75	178 146 42
5	46 124 214	72 123 199	89 123 185	101 123 171	111 122 156	120 122 142	124 124 124	134 121 103	141 121 77	146 120 48	150 119 9
4		38 97 172	59 97 158	74 97 144	85 96 130	93 96 116	97 97 97	108 96 77	114 95 52	119 94 25
3			26 72 133	45 72 120	58 72 106	67 72 92	70 70 70	81 71 55	87 70 33
2				20 49 93	35 49 79	44 49 66	48 48 48	57 48 34	63 47 6
1	5PB				13 28 56	23 28 45	28 28 28	37 27 9			5Y
0							0 0 0

Note that theMunsell Book of Colorcontains more color samples than this chart for both 5PB and 5Y (particularly bright yellows, up to 5Y 8.5/14). However, they are not reproducible in thesRGB color space,which has a limitedcolor gamutdesigned to match that of televisions and computer displays. There are no samples for values 0 (pure black) and 10 (pure white), which are theoretical limits not reachable in pigment, and no printed samples of value 1.

Specifying a color

A color is fully specified by listing the three numbers for hue, value, and chroma in that order. For instance, a purple of medium lightness and fairly saturated would be 5P 5/10 with 5P meaning the color in the middle of the purple hue band, 5/ meaning medium value (lightness), and a chroma of 10 (see swatch). Anachromatic coloris specified by the syntaxN V/.For example, a medium grey is specified by "N 5/".

In computer processing, the Munsell colors are converted to a set of "HVC" numbers. The V and C are the same as the normal chroma and value. The H (hue) number is converted by mapping the hue rings into numbers between 0 and 100, where both 0 and 100 correspond to 10RP.

As the Munsell books, including the 1943 renotation, only contains colors for some points in the Munsell space, it is non-trivial to specify an arbitrary color in Munsell space.Interpolationmust be used to assign meanings to non-book colors such as "2.8Y 6.95/2.3", followed by aninversionof the fitted Munsell-to-xyY transform. The ASTM has defined a method in 2008, but Centore 2012 is known to work better.

History and influence

Runge'sFarbenkugel(Color Sphere), 1810

Albert H. Munsell

Several editions of theMunsell Book of Color.The atlas is arranged into removable pages of color swatches of varying value and chroma for each of 40 particular hues.

The idea of using a three-dimensionalcolor solidto represent all colors was developed during the 18th and 19th centuries. Several different shapes for such a solid were proposed, including: a double triangular pyramid byTobias Mayerin 1758, a single triangular pyramid byJohann Heinrich Lambertin 1772, a sphere byPhilipp Otto Rungein 1810, a hemisphere byMichel Eugène Chevreulin 1839, a cone byHermann von Helmholtzin 1860, a tilted cube by William Benson in 1868, and a slanted double cone byAugust Kirschmannin 1895.These systems became progressively more sophisticated, with Kirschmann’s even recognizing the difference in value between bright colors of different hues. But all of them remained either purely theoretical or encountered practical problems in accommodating all colors. Furthermore, none was based on any rigorous scientific measurement of human vision; before Munsell, the relationship between hue, value, and chroma was not understood.

Twenty hues of the Munsell color system at maximum chroma to stay in the sRGB gamut.

Albert Munsell, an artist and professor of art at the Massachusetts Normal Art School (nowMassachusetts College of Art and Design,or MassArt), wanted to create a "rational way to describe color" that would use decimal notation instead of color names (which he felt were "foolish" and "misleading" ),which he could use to teach his students about color. He first started work on the system in 1898 and published it in full form inA Color Notationin 1905.

The original embodiment of the system (the 1905 Atlas) had some deficiencies as a physical representation of the theoretical system. These were improved significantly in the 1929Munsell Book of Colorand through an extensive series of experiments carried out by theOptical Society of Americain the 1940s resulting in the notations (sample definitions) for the modernMunsell Book of Color.Though several replacements for the Munsell system have been invented, building on Munsell's foundational ideas—including the Optical Society of America'sUniform Color Scales,and theInternational Commission on Illumination’sCIELAB(L*a*b*) andCIECAM02color models—the Munsell system is still widely used, by, among others,ANSIto defineskin colorandhair colorforforensic pathology,theUSGSfor matchingsoil color,inprosthodonticsduring the selection oftooth colorfordental restorations,andbreweriesfor matchingbeer color.

The original Munsell color chart remains useful for comparing computer models of human color vision.

See also

• Coloroid
• HSL and HSV
• Natural Color System

Bibliography

• Cleland, Thomas M. (1921).A practical description of the Munsell color system, with suggestions for its use.Boston: Munsell Color Company.One of the first books about the Munsell color system, explaining the intuition behind its three dimensions, and suggesting possible uses of the system in picking color combinations. An edited version can be found athttp:// applepainter /.
• Kuehni, Rolf G. (February 2002). "The early development of the Munsell system".Color Research and Application.27(1): 20–27.doi:10.1002/col.10002.A description of color systems leading up to Munsell's, and a biographical explanation of Munsell's changing ideas about color and development of his color solid, leading up to the publication ofA Color Notationin 1905.
• Landa, Edward R.; Fairchild, Mark D. (September–October 2005)."Charting Color from the Eye of the Beholder"(PDF).American Scientist.93(5): 436–443.CiteSeerX10.1.1.77.9634.doi:10.1511/2005.5.436.An introductory explanation of the development and influence of the Munsell system.
• MacEvoy, Bruce (2005-08-01)."Modern Color Models – Munsell Color System".Color Vision.Retrieved2007-04-16.A concise introduction to the Munsell color system, on a web page which also discusses several other color systems, putting the Munsell system in its historical context.
• Munsell, Albert H. (1905).A Color Notation.Boston: G. H. Ellis Co.Munsell's original description of his system.A Color Notationwas published before he had established the irregular shape of a perceptual color solid, so it describes colors positioned in a sphere.
• Munsell, Albert H. (January 1912)."A Pigment Color System and Notation".The American Journal of Psychology.23(2): 236–244.doi:10.2307/1412843.JSTOR1412843.Munsell's description of his color system, from a lecture to the American Psychological Association.
• Nickerson, Dorothy (1976)."History of the Munsell color system, company, and foundation".Color Research and Application.1(1): 7–10.

External links

General information

• Munsell,the homepage of Munsell Color, a subdivision ofX-Rite,current owners of theMunsell Color Company.
  • Munsellpage at the X-Rite website.
• ApplePainter,a site explaining the Munsell color chart, including an edited version of Cleland's book,A practical description of the Munsell color system.
• Anexplanation of the Munsell systemat Adobe. Retrieved 13 August 2003
• Abrief explanationat the site of the Japanese company Dainichiseika Color & Chemicals, including a nice diagram of the Munsell color solid.

Data and conversion

• Munsell Color Science Laboratoryat theRochester Institute of Technology,an academic laboratory dedicated to color science, endowed by the Munsell Foundation.
  • Munsell renotation datain plain text format (from the 1940s Optical Society of America renotations).CIE xyYoriginal and sRGB and CIELAB conversions provided.
• The Munsell and Kubelka-Munk Toolbox by Paul Centore,with a radial interpolation algorithm described in Centore 2012.
• munsellinterpol,R language package for interpolating between Munsell renotation samples; spline interpolation.
• Munsell Color Palette,an online Munsell color palette and Munsell-to-sRGBconverter; crude linear interpolation in sRGB space.
• A flash-basedMunsell Palettecolor-picker from web-design firm Triplecode (based on a version originally created at theMIT Media Lab).
• LOGitEASY Munsell Color Calculator,which converts Munsell colors to a specialized soil-color notation (registration required)

Other tools

• ToyPalettefrom Loo & Cox, a web application for generating color palettes from images. Munsell color analysis of digital image.