Table I
Mean Indices of Metamerism for Change in Illuminant and Observer for Evaluating Light Sources in Visible Range
| 10° | 10° | 10° | 2° | 10° | 10° | 10° |
---|
| MV68 | MV68 | MV68 | MV68 | 10SP | AA17 | WY12 |
---|
| ANS | FMC-II | CIE | ANS | ANS | ANS | ANS |
---|
Illurminant |
D75 | 0.34 | 0.74 | 0.39 | 0.33 | 0.50 | 0.36 | 1.27 |
D55 | 0.46 | 1.06 | 0.56 | 0.44 | 0.67 | 0.49 | 1.69 |
C | 0.20 | 0.46 | 0.24 | 0.22 | 0.28 | 0.22 | 0.96 |
XE1 | 0.31 | 0.94 | 0.47 | 0.34 | 0.41 | 0.40 | 1.27 |
2 | 0.42 | 1.19 | 0.60 | 0.46 | 0.54 | 0.54 | 1.77 |
3 | 0.28 | 0.81 | 0.41 | 0.32 | 0.37 | 0.36 | 1.20 |
4 | 0.21 | 0.59 | 0.30 | 0.24 | 0.26 | 0.28 | 0.92 |
5 | 0.18 | 0.37 | 0.19 | 0.22 | 0.23 | 0.26 | 0.92 |
6 | 0.25 | 0.49 | 0.26 | 0.23 | 0.24 | 0.23 | 0.66 |
7 | 0.30 | 0.76 | 0.37 | 0.31 | 0.43 | 0.36 | 1.04 |
8 | 0.36 | 1.14 | 0.54 | 0.32 | 0.51 | 0.39 | 1.13 |
9 | 0.26 | 0.67 | 0.34 | 0.30 | 0.35 | 0.34 | 1.25 |
10 | 0.11 | 0.29 | 0.14 | 0.13 | 0.13 | 0.17 | 0.61 |
11 | 0.26 | 0.67 | 0.32 | 0.28 | 0.37 | 0.32 | 0.96 |
T1 | 0.56 | 0.84 | 0.46 | 0.55 | 0.82 | 0.63 | 2.27 |
2 | 0.69 | 1.57 | 0.82 | 0.68 | 1.00 | 0.76 | 2.19 |
3 | 0.21 | 0.45 | 0.24 | 0.23 | 0.31 | 0.23 | 0.55 |
4 | 0.16 | 0.36 | 0.17 | 0.17 | 0.19 | 0.21 | 0.58 |
5 | 0.08 | 0.19 | 0.09 | 0.09 | 0.09 | 0.11 | 0.45 |
6 | 0.36 | 0.96 | 0.49 | 0.37 | 0.50 | 0.45 | 1.12 |
F1 | 0.47 | 1.18 | 0.60 | 0.45 | 0.66 | 0.53 | 2.45 |
2 | 0.59 | 1.28 | 0.65 | 0.71 | 0.85 | 0.69 | 2.24 |
3 | 0.67 | 1.49 | 0.81 | 0.62 | 0.95 | 0.64 | 2.43 |
4 | 0.60 | 1.07 | 0.58 | 0.74 | 0.87 | 0.70 | 2.16 |
5 | 0.45 | 0.93 | 0.48 | 0.56 | 0.63 | 0.51 | 1.80 |
6 | 0.61 | 1.40 | 0.71 | 0.72 | 0.89 | 0.71 | 2.33 |
7 | 0.53 | 1.35 | 0.66 | 0.60 | 0.75 | 0.60 | 2.20 |
8 | 0.57 | 1.68 | 0.80 | 0.58 | 0.82 | 0.62 | 2.47 |
9 | 0.55 | 1.56 | 0.74 | 0.58 | 0.79 | 0.60 | 2.44 |
10 | 0.54 | 1.12 | 0.57 | 0.68 | 0.77 | 0.66 | 1.76 |
11 | 0.69 | 2.06 | 1.00 | 0.69 | 0.97 | 0.80 | 3.39 |
12 | 0.51 | 0.95 | 0.51 | 0.65 | 0.75 | 0.61 | 2.02 |
13 | 0.64 | 1.91 | 0.94 | 0.70 | 0.89 | 0.62 | 2.58 |
14 | 0.44 | 1.05 | 0.53 | 0.55 | 0.63 | 0.52 | 1.87 |
15 | 0.53 | 0.89 | 0.49 | 0.67 | 0.76 | 0.63 | 1.94 |
16 | 0.52 | i.28 | 0.66 | 0.49 | 0.76 | 0.58 | 1.73 |
17 | 0.40 | 1.06 | 0.50 | 0.49 | 0.55 | 0.46 | 1.99 |
Observer |
10°/2° | 1.45 | 3.09 | 1.63 | — | 2.15 | 1.51 | 4.62 |
10°/Allen | 0.40 | 0.75 | 0.40 | — | 0.55 | 0.41 | 1.02 |
Table II
Indices of Metamerism of the 10SP Pairs (10°/10SP/ANS) for Some Light Sources and Allen’s Standard-Deviate Observer
10SP | D75 | XE9 | T3 | F7 | F13 | F17 | 10°/Allen |
---|
1 | 0.55 | 0.51 | 0.20 | 0.84 | 0.93 | 0.39 | 0.56 |
2 | 0.15 | 0.32 | 0.30 | 0.36 | 0.79 | 0.64 | 0.37 |
3 | 0.65 | 0.31 | 0.32 | 0.93 | 0.65 | 0.73 | 0.57 |
4 | 0.42 | 0.21 | 0.17 | 0.79 | 0.68 | 0.74 | 0.34 |
5 | 0.72 | 0.50 | 0.45 | 0.78 | 1.12 | 0.44 | 0.84 |
6 | 0.59 | 0.56 | 0.34 | 0.74 | 1.37 | 0.48 | 0.42 |
7 | 0.42 | 0.16 | 0.38 | 0.96 | 0.53 | 0.66 | 0.69 |
8 | 0.56 | 0.32 | 0.41 | 0.68 | 1.49 | 0.40 | 0.66 |
9 | 0.40 | 0.22 | 0.21 | 0.61 | 0.45 | 0.59 | 0.37 |
10 | 0.56 | 0.41 | 0.30 | 0.83 | 0.90 | 0.45 | 0.65 |
Mean index of metamerism | 0.50 | 0.35 | 0.31 | 0.75 | 0.89 | 0.55 | 0.55 |
Table III
Deviation Coefficient According to Schultze17 Between Mean Indices of Metamerism Calculated under Different Conditions (Selection)
Color Difference Formulas |
10°/MV68/ANS-FMC-II | 0.174 |
10°/MV68/ANS-CIE | 0.143 |
10°/MV68/FMC-II-CIE | 0.047 |
2°/MV68/ANS-FMC-II | 0.182 |
2°/MV68/ANS-CIE | 0.145 |
2°/MV68/FMC-II-CIE | 0.047 |
Observer |
MV68/ANS/10°-2° | 0.102 |
MV68/FMC-II/10°-2° | 0.082 |
MV68/CIE/10°-2° | 0.093 |
10SP/ANS/10°-2° | 0.105 |
AA17/ANS/10°-2° | 0.096 |
WY12/ANS/10°-2° | 0.056 |
Sample Sets |
10°/ANS/MV68-10SP | 0.090 |
10°/FMC-II/MV68-10SP | 0.066 |
10°/CIE/MV68-10SP | 0.074 |
10°/ANS/MV68-AA17 | 0.107 |
10°/FMC-II/MV68-AA17 | 0.103 |
10°/CIE/MV68-AA17 | 0.119 |
10°/ANS/MV68-WY12 | 0.183 |
Table IV
Deviation Coefficient According to Schultze17 Between Mean Indices of Metamerism and Criteria of Wyszecki1 (Selection) for Seventeen Light Sources with Color Temperatures of ~6500 K
| 〈d〉 | 〈e〉 | σN | 100 − Ra |
---|
10°/MV68/ANS | 0.357 | 0.295 | 0.466 | 0.641 |
10°/MV68/FMC-II | 0.405 | 0.327 | 0.497 | 0.580 |
10°/MV68/CIE | 0.396 | 0.324 | 0.495 | 0.600 |
10°/WY12/ANS | 0.324 | 0.255 | 0.407 | 0.493 |
〈d〉 | | 0.124 | 0.159 | 0.696 |
〈e〉 | | | 0.231 | 0.693 |
σN | | | | 0.675 |
Table V
Chomaticity Differences ΔC2 of Fluorescent White Sample Against Neutral Point and Chromaticity Difference ΔC1 and Color Difference ΔE1 Against Nonfluorescent Sample for Evaluation of Light Sources in Ultraviolet Range
Light source | ΔC2 10° ANS | ΔC2 10° FMC-II | ΔC2 10°CIE | ΔC2 2°ANS | ΔC1 10° ANS | ΔE1 10° ANS |
---|
D65 | 14.2 | 24.4 | 13.3 | 15.7 | 17.8 | 17.9 |
D75 | 16.5 | 27.8 | 16.1 | 18.4 | 20.5 | 20.6 |
D55 | 11.3 | 19.6 | 9.9 | 12.3 | 14.4 | 14.4 |
C | 6.2 | 12.0 | 6.0 | 7.2 | 9.6 | 9.7 |
XE1 | 23.1 | 37.9 | 22.2 | 25.0 | 26.8 | 26.9 |
2 | 23.3 | 38.5 | 22.5 | 25.2 | 27.0 | 27.1 |
3 | 15.6 | 27.2 | 14.7 | 17.1 | 19.3 | 19.4 |
4 | 16.8 | 28.9 | 16.1 | 18.4 | 20.5 | 20.6 |
5 | 14.5 | 25.2 | 13.7 | 15.9 | 18.1 | 18.2 |
6 | 17.2 | 29.1 | 16.3 | 19.1 | 21.4 | 21.5 |
7 | — | — | — | — | — | — |
8 | — | — | — | — | — | — |
9 | 15.9 | 27.2 | 14.8 | 17.2 | 19.3 | 19.4 |
10 | 14.7 | 25.6 | 14.1 | 16.2 | 18.4 | 18.5 |
11 | 15.3 | 25.9 | 14.2 | 16.7 | 18.8 | 18.8 |
T1 | 1.8 | 3.2 | 1.4 | 2.3 | 4.1 | 4.1 |
2 | 7.4 | 14.3 | 7.4 | 8.8 | 11.6 | 11.6 |
3 | 8.3 | 15.3 | 7.8 | 9.4 | 11.9 | 12.0 |
4 | 11.8 | 20.7 | 10.8 | 13.1 | 15.4 | 15.5 |
5 | 11.4 | 20.1 | 10.6 | 12.6 | 14.9 | 15.0 |
6 | 8.1 | 14.9 | 7.5 | 9.2 | 11.8 | 11.8 |
F1 | 13.0 | 22.0 | 10.9 | 13.9 | 15.8 | 15.9 |
2 | 12.1 | 21.4 | 11.5 | 13.3 | 15.4 | 15.4 |
3 | — | — | — | — | — | — |
4 | 20.5 | 33.6 | 20.4 | 22.7 | 24.1 | 24.2 |
5 | 18.6 | 30.8 | 18.1 | 20.4 | 22.0 | 22.2 |
6 | 21.5 | 35.5 | 21.1 | 23.6 | 25.1 | 25.2 |
7 | 19.3 | 32.2 | 18.5 | 21.0 | 22.7 | 22.8 |
8 | 9.4 | 16.6 | 8.2 | 10.2 | 12.1 | 12.2 |
9 | 5.5 | 10.1 | 4.8 | 6.2 | 8.2 | 8.3 |
10 | 5.7 | 11.0 | 5.6 | 6.6 | 8.9 | 8.9 |
11 | — | — | — | — | — | — |
12 | — | — | — | — | — | — |
13 | 16.9 | 28.0 | 15.5 | 18.1 | 19.7 | 19.8 |
14 | — | — | — | — | — | — |
15 | — | — | — | — | — | — |
16 | 15.7 | 26.7 | 15.3 | 17.5 | 19.6 | 19.7 |
17 | 6.8 | 12.5 | 6.2 | 7.5 | 9.6 | 9.6 |
Table VI
Reflectance Values of Metameiic 10SP Sample Pairs for Illuminant D65 and the 10° Standard Observer
nm | 1/1 | 1/2 | 2/1 | 2/2 | 3/1 | 3/2 | 4/1 | 4/2 | 5/1 | 5/2 | 6/1 | 6/2 | 7/1 | 7/2 | 8/1 | 8/2 | 9/1 | 9/2 | 10/1 | 10/2 |
---|
400 | 4.8 | 2.9 | 8.0 | 7.4 | 10.6 | 6.6 | 4.4 | 2.9 | 29.8 | 39.7 | 10.0 | 11.7 | 10.6 | 17.3 | 22.4 | 32.4 | 5.5 | 7.4 | 20.5 | 26.8 |
10 | 4.3 | 2.7 | 8.7 | 7.4 | 10.2 | 6.4 | 4.0 | 2.8 | 30.0 | 39.7 | 8.6 | 10.1 | 10.9 | 17.7 | 23.0 | 32.2 | 5.6 | 7.8 | 20.4 | 27.3 |
20 | 4.0 | 2.6 | 8.9 | 7.5 | 9.8 | 6.5 | 3.7 | 2.7 | .31.1 | 39.6 | 7.6 | 8.8 | 12.0 | 18.2 | 24.8 | 32.2 | 6.2 | 8.5 | 20.5 | 26.8 |
30 | 3.7 | 2.6 | 8.5 | 7.6 | 9.5 | 6.6 | 3.5 | 2.6 | 32.6 | 39.2 | 7.0 | 8.0 | 13.6 | 18.3 | 27.4 | 32.2 | 7.4 | 9.4 | 20.8 | 25.5 |
40 | 3.5 | 2.6 | 7.8 | 7.6 | 9.2 | 7.0 | 3.3 | 2.7 | 34.6 | 38.0 | 6.7 | 7.4 | 15.6 | 17.9 | 30.3 | 32.1 | 9.0 | 10.6 | 21.4 | 24.0 |
50 | 3.4 | 2.9 | 7.0 | 7.4 | 9.0 | 8.0 | 3.2 | 2.8 | 36.9 | 36.7 | 6.7 | 7.3 | 17.6 | 17.1 | 33.0 | 31.9 | 11.0 | 11.5 | 22.4 | 22.3 |
60 | 3.6 | 3.3 | 6.3 | 7.0 | 8.9 | 9.6 | 3.2 | 3.1 | 39.1 | 35.5 | 7.2 | 7.1 | 19.1 | 16.2 | 34.9 | 31.7 | 12.9 | 11.9 | 23.3 | 20.9 |
70 | 3.9 | 4.4 | 5.7 | 6.4 | 9.1 | 12.1 | 3.4 | 3.9 | 40.1 | 34.0 | 8.0 | 7.2 | 19.7 | 15.3 | 35.3 | 31.0 | 14.4 | 12.0 | 23.8 | 19.7 |
80 | 4.5 | 6.8 | 5.2 | 5.7 | 9.6 | 15.2 | 3.8 | 5.6 | 39.6 | 32.6 | 9.5 | 7.7 | 19.1 | 14.6 | 33.7 | 30.0 | 14.9 | 12.0 | 24.1 | 18.8 |
90 | 5.8 | 10.4 | 4.8 | 4.8 | 10.4 | 17.1 | 4.5 | 7.7 | 37.6 | 31.2 | 11.5 | 8.5 | 17.4 | 14.1 | 30.9 | 27.9 | 14.5 | 11.7 | 23.9 | 17.9 |
500 | 7.7 | 13.6 | 4.4 | 4.2 | 11.6 | 17.2 | 5.5 | 9.2 | 34.8 | 29.9 | 13.6 | 9.7 | 15.5 | 13.8 | 27.8 | 25.5 | 13.4 | 11.2 | 22.8 | 17.5 |
10 | 10.2 | 15.3 | 4.1 | 3.6 | 13.3 | 15.8 | 7.0 | 9.5 | 31.3 | 28.6 | 14.8 | 11.1 | 13.7 | 13.6 | 24.7 | 23.2 | 12.1 | 11.2 | 21.5 | 17.9 |
20 | 12.7 | 15.7 | 3.8 | 3.2 | 14.9 | 14.0 | 8.6 | 9.0 | 28.3 | 27.6 | 15.0 | 12.6 | 12.2 | 13.1 | 21.5 | 21.2 | 10.9 | 11.0 | 21.0 | 18.9 |
30 | 15.1 | 16.1 | 3.6 | 3.0 | 15.6 | 12.9 | 9.7 | 8.7 | 26.2 | 26.5 | 14.4 | 13.9 | 11.0 | 12.4 | 19.0 | 19.4 | 10.0 | 10.6 | 20.9 | 20.2 |
40 | 17.4 | 16.8 | 3.4 | 2.9 | 15.3 | 12.1 | 10.4 | 8.5 | 24.1 | 25.6 | 13.3 | 15.0 | 10.5 | 12.3 | 17.6 | 18.1 | 9.4 | 10.4 | 20.9 | 22.1 |
50 | 19.8 | 17.7 | 3.2 | 3.0 | 14.5 | 11.5 | 10.7 | 8.4 | 22.0 | 25.1 | 12.5 | 15.8 | 10.5 | 12.3 | 16.4 | 17.1 | 8.9 | 10.5 | 21.9 | 24.9 |
60 | 23.0 | 19.3 | 3.1 | 3.1 | 13.6 | 11.4 | 10.6 | 8.5 | 20.8 | 24.8 | 12.2 | 15.7 | 10.5 | 11.7 | 14.5 | 16.6 | 8.6 | 10.5 | 24.9 | 29.1 |
70 | 27.6 | 22.3 | 3.1 | 3.3 | 12.6 | 11.5 | 10.1 | 9.1 | 20.8 | 24.3 | 12.0 | 14.3 | 10.7 | 11.1 | 13.3 | 16.1 | 8.4 | 9.7 | 30.0 | 34.8 |
80 | 33.6 | 27.5 | 3.3 | 4.0 | 11.8 | 11.8 | 9.6 | 9.6 | 20.8 | 23.4 | 11.4 | 12.2 | 12.0 | 11.9 | 13.7 | 15.4 | 8.5 | 8.6 | 36.7 | 41.6 |
90 | 40.1 | 34.7 | 3.7 | 5.3 | 11.2 | 12.4 | 9.0 | 10.0 | 20.4 | 22.9 | 10.3 | 10.3 | 15.6 | 14.9 | 14.8 | 15.0 | 8.8 | 8.0 | 44.1 | 48.3 |
600 | 45.9 | 43.4 | 4.6 | 7.1 | 11.1 | 12.9 | 8.9 | 10.4 | 20.3 | 23.0 | 8.6 | 8.9 | 21.4 | 19.8 | 14.9 | 16.1 | 9.2 | 8.0 | 51.5 | 53.5 |
10 | 50.1 | 52.3 | 6.1 | 8.5 | 11.2 | 13.3 | 9.0 | 10.5 | 22.0 | 23.4 | 7.1 | 7.7 | 28.5 | 25.6 | 14.1 | 17.8 | 9.6 | 8.3 | 59.0 | 57.0 |
20 | 52.8 | 59.2 | 8.2 | 9.1 | 11.4 | 13.3 | 9.2 | 10.5 | 25.6 | 22.9 | 6.5 | 6.4 | 33.3 | 31.3 | 14.4 | 17.7 | 9.6 | 8.0 | 65.4 | 59.2 |
30 | 54.4 | 64.0 | 10.9 | 8.9 | 11.5 | 13.3 | 9.2 | 10.4 | 29.8 | 22.1 | 7.1 | 5.3 | 34.2 | 36.3 | 18.1 | 16.0 | 9.6 | 7.8 | 70.2 | 60.8 |
40 | 55.7 | 66.9 | 13.3 | 8.6 | 11.9 | 13.5 | 9.6 | 10.6 | 33.7 | 22.1 | 9.2 | 4.9 | 34.5 | 40.2 | 26.1 | 15.3 | 9.8 | 8.2 | 73.6 | 62.0 |
50 | 56.7 | 69.3 | 15.6 | 8.5 | 13.2 | 14.2 | 10.9 | 11.1 | 39.1 | 23.7 | 13.8 | 5.4 | 39.1 | 43.4 | 38.8 | 18.6 | 10.9 | 10.3 | 76.0 | 63.4 |
60 | 57.9 | 71.9 | 17.7 | 8.7 | 15.7 | 15.7 | 13.4 | 12.3 | 47.6 | 27.8 | 21.1 | 7.2 | 48.7 | 46.3 | 52.5 | 26.4 | 13.1 | 14.7 | 78.0 | 65.6 |
70 | 59.2 | 74.7 | 20.1 | 8.7 | 19.7 | 18.2 | 17.7 | 14.3 | 58.9 | 34.7 | 30.7 | 10.9 | 60.9 | 49.7 | 63.6 | 38.9 | 16.8 | 21.9 | 79.6 | 68.1 |
80 | 60.5 | 77.8 | 23.6 | 8.4 | 24.8 | 21.9 | 22.8 | 17.3 | 70.2 | 43.6 | 42.0 | 16.8 | 72.1 | 53.8 | 70.0 | 53.0 | 22.2 | 31.7 | 81.4 | 71.5 |
90 | 62.1 | 80.7 | 27.9 | 8.4 | 30.3 | 26.3 | 27.5 | 21.1 | 78.7 | 53.5 | 52.8 | 24.7 | 80.3 | 57.9 | 73.0 | 65.4 | 29.3 | 42.8 | 83.0 | 75.1 |
700 | 63.7 | 83.0 | 32.6 | 8.6 | 35.6 | 31.3 | 31.6 | 25.5 | 83.5 | 62.5 | 62.2 | 33.5 | 84.9 | 61.6 | 74.1 | 74.2 | 37.8 | 52.6 | 84.4 | 78.4 |
ΔEANS | 0.01 | 0.05 | 0.06 | 0.08 | 0.02 | 0.04 | 0.07 | 0.32 | 0.06 | 0.04 |
Table VII
Characteristics of White Fluorescent Test Color According to Ganz and Eitle15
λ | R(λ) | G(λ) | λ | R(λ) | G(λ) | λ′ | Q(λ′)Δλ′ |
---|
400 | 0.268 | 0.011 | 560 | 0.958 | 0.007 | 300 | 0.227 |
410 | 0.428 | 0.096 | 570 | 0.958 | 0.005 | 310 | 0.239 |
420 | 0.732 | 0.203 | 580 | 0.958 | 0.004 | 320 | 0.258 |
430 | 0.892 | 0.292 | 590 | 0.960 | 0.003 | 330 | 0.278 |
440 | 0.936 | 0.319 | 600 | 0.960 | 0.002 | 340 | 0.295 |
450 | 0.942 | 0.261 | 610 | 0.960 | 0.002 | 350 | 0.308 |
460 | 0.942 | 0.216 | 620 | 0.962 | 0.001 | 360 | 0.317 |
470 | 0.946 | 0.176 | 630 | 0.962 | 0.001 | 370 | 0.323 |
480 | 0.946 | 0.125 | 640 | 0.962 | 0.001 | 380 | 0.325 |
490 | 0.950 | 0.088 | 650 | 0.966 | 0.000 | 390 | 0.314 |
500 | 0.950 | 0.067 | 660 | 0.966 | | 400 | 0.291 |
510 | 0.952 | 0.046 | 670 | 0.966 | | 410 | 0.232 |
520 | 0.954 | 0.032 | 680 | 0.966 | | 420 | 0.106 |
530 | 0.954 | 0.022 | 690 | 0.966 | | 430 | 0.032 |
540 | 0.956 | 0.013 | 700 | 0.970 | | 440 | 0.000 |
550 | 0.956 | 0.010 | | | | | |
R(λ) = spectral reflectance.
G(λ) = spectral coefficient of the specific fluorescence emission.
Q(λ′) = spectral coefficient of the quantum absorption.
Δλ′ = 10 nm.