Page:Journal of the Optical Society of America, volume 30, number 12.pdf/25

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ANALYSIS OF THE MUNSELL COLOR SYSTEM
595

detail, but Figs. 1 and 2 are shown to illustrate the nature and extent of the work.

Figure 1 shows the working plot for RP 3/6. It includes the diffuse-normal, König-Martens spectrophotometric data, with some check points; the 45°-normal Martens photometer (with filters) data; the 45°-normal photographic data, 370 to 460 mμ, showing the absorption from the ZnO below 400 mμ; the plotting to a 10-times scale of values below 0.10; and the smooth curves drawn through the diffusenormal and the 45°-normal data. The final judgment as to the true course of all of the curves (representing the adopted values) was made by the senior author of the present paper.

Table IV. Trichromatic analysis of Munsell Atlas colors, 1926 data, 45° illumination. Values computed from spectrophotometric data given in Bureau of Standards Test Report 46,045 on the basis of the I.C.I. standard observer and coordinate system and for I.C.I. Illuminant C.

Munsell
Notation
Tristimulus
Specifcations
Trichromatic
Coefficients
Dominant Wave-Length* Excitation Purity*
X Y Z x y Λ
R 8/4 0.6807 0.6318 0.6419 0.3483 0.3233 599 12.1
7/6 .5399 .4598 .4122 .3824 .3256 603 22.
6/8 .4406 .3430 .2697 .4183 .3256 606 31.5
5/10 .3224 .2114 .1277 .4874 .3195 614 48.2
4/10 .2536 .1557 .0844 .5138 .3153 617 54.1
3/7 .1215 .0841 .0552 .4659 .3225 612 43.2
2/4 .0518 .0420 .0385 .3914 .3175 615 22.0
YR 8/5 .6345 .6059 .4038 .3859 .3685 582.8 34.1
7/7 .5026 .4616 .2480 .4146 .3808 584.5 45.2
6/8 .4478 .3787 .0973 .4848 .4099 586.3 71.8
5/7 .2666 .2273 .0880 .4581 .3906 587.2 59.8
4/5 .1956 .1652 .0660 .4582 .3871 587.8 58.8
3/4 .1002 .0920 .0578 .4009 .3680 585.8 38.0
2/1 .0496 .0484 .0466 .3434 .3345 586.2 13.8
Y 8/9 .5514 .5833 .1199 .4395 .4649 575.7 74.4
7/8 .4678 .4898 .1067 .4396 .4602 576.2 73.4
6/7 .3524 .3673 .1000 .4299 .4481 576.3 67.5
5/7 .2329 .2408 .0807 .4201 .4343 576.6 61.2
4/5 .1681 .1688 .0612 .4223 .4240 578.2 59.2
3/3 .0919 .0947 .0590 .3742 .3857 576.5 35.9
2/1 .0519 .0532 .0492 .3365 .3446 576.5 14.7
GY 8/6 .5060 .5953 .3018 .3606 .4243 567.8 42.6
7/7 .4010 .4952 .1750 .3743 .4623 567.1 56.5
6/8 .3260 .4111 .1424 .3707 .4674 566.1 57.0
5/6 .1615 .1929 .0991 .3562 .4253 566.6 41.8
4/5 .1519 .1887 .0767 .3640 .4521 566.0 51.0
3/3 .0868 .0982 .0666 .3449 .3902 567.8 29.2
2/1 .0444 .0468 .0450 .3260 .3435 570.8 11.5
G 8/5 .5395 .6179 .5985 .3072 .3519 546 9.0
7/7 .4129 .5181 .4600 .2968 .3725 536 12.2
6/7 .3067 .4082 .3218 .2959 .3938 534 17.7
5/7 .1782 .2862 .2080 .2650 .4256 523 21.2
4/7 .1261 .1944 .1428 .2722 .4195 526 20.3
3/4 .0748 .0900 .0902 .2934 .3529 520 7.2
2/1 .0424 .0459 .0473 .3128 .3385 556 6.8
BG 8/3 .5594 .6229 .6971 .2977 .3314 507 4.1
7/5 .4476 .5213 .5939 .2864 .3356 500 7.8
6/5 .3489 .4343 .5531 .2611 .3250 493 17.8
5/5 .2003 .2603 .3058 .2613 .3396 497 16.4
4/5 .1272 .1748 .2637 .2249 .3089 490 32.2
3/4 .0696 .0823 .1382 .2398 .2838 485 29.2
2/2 .0391 .0457 .0709 .2512 .2935 486 23.9
B 8/2 .6321 .6679 .8731 .2909 .3074 485.1 7.9
7/4 .4722 .5217 .7294 .2740 .3027 486.4 14.7
6/5 .3778 .4202 .7241 .2482 .2761 482.7 26.9
5/6 .2317 .2731 .5203 .2260 .2664 483.5 36.0
4/6 .1437 .1661 .3646 .2131 .2463 481.7 42.9
3/5 .0977 .1076 .2493 .2150 .2367 480.1 43.4
2/4 .0398 .0447 .0981 .2180 .2448 480.9 41.3
PB 8/2 .6417 .6546 .8702 .2962 .3022 477.2 6.8
7/4 .4477 .4261 .7350 .2722 .2809 478.6 17.6
6/6 .3800 .3894 .6988 .2588 .2652 477.5 24.5
5/8 .2616 .2653 .5699 .2385 .2419 476.8 34.7
4/10 .1796 .1773 .5248 .2038 .2011 476.1 52.1
3/9 .0993 .0859 .3191 .1969 .1703 472.2 59.0
2/2 .0430 .0430 .0972 .2347 .2348 476.1 37.0
P 8/2 .6272 .6161 .7907 .3084 .3029 556 c 5.0
7/3 .5324 .5110 .6536 .3137 .3011 535 c 6.7
6/4 .4245 .3936 .5650 .3069 .2846 556 c 12.1
5/6 .2785 .2480 .4076 .2982 .2655 561 c 18.2
4/6 .2080 .1727 .3124 .3001 .2492 558 c 25.0
3/6 .1271 .1022 .2216 .2819 .2266 564 c 30.9
2/3 .0509 .0436 ,0856 .2826 .2420 565 c 24.7
RP 8/2 .6710 .6525 .7599 .3221 .3132 494 c 3.5
7/4 .6029 .5508 .6600 .3324 .3037 498 c 9.5
6/4 .4223 .3776 .4834 .3291 .2942 506 c 12.5
5/6 .2968 .2509 .3263 .3396 .2871 504 c 17.2
4/6 .1991 .1555 .2311 .3399 .2655 513 c 26.0
3/6 .1134 .0850 .1337 .3414 .2559 516 c 30.2
2/2 .0514 .0436 .0606 .3302 .2802 514 c 18.3

TABLE V. Average values of Y for samples in 1919 and 1926 tests. These values are computed from the data of Tables II, III and IV, except for the neutral samples, for which the values are taken from Bureau of Standards Technologic Paper No. 167.

Munsell
Value
1919 1926
Chromatic Samples
Chromatic Samples Neutral Samples[1] Illumination at
45° Diffuse
Y Y Y Y
9/ 0.772
8/ .602 .0.6248 0.6274
7/ 0.4787 .465 .4991 .5031
6/ .343 .3923 .3947
5/ .2460 .234 .2456 .2503
4/ -161 .1719 .1763
3/ .0922 .090 .0922 .0964
2/ 041 .0457 0.487
1/ .018

Figure 2 is one of the ten illustrations in the original report which show the deviations between the data as adopted for the diffuse-normal and the 45°-normal conditions. These blue-green samples have been selected for illustration because they show the greatest variation in dominant wave-length. Figure 2 also illustrates the general tendency for the apparent reflectances for the diffuse-normal conditions to be higher than those for the 45°-normal conditions.

Colormetric Computations

Colorimetric computations were not made in 1919 nor in 1926, but have been completed during the past year, computations of the 1926
  1. Compound for noon sunlight. The Value of Y for neutral 9/ of which is the most selective of the neutral samples, is 0.763 for I.C.I. Illuminant C. Difference in illuminant therefore will not account for the differences between the values of Y for the neutral samples and the average values of Y for the chromatic samples.