Coordinates for Critical Points

Color A

W is (0.311, 0.319) White Point

GX = 0.2 + (10 / 370) = 0.2270 = 0.227

GY = 0.7 + (19 / 370) = 0.7513 = 0.751

G is (0.227, 0.751)

AX = 0.2 + (30 / 370) = 0.2810 = 0.281

AY = 0.4 + (25 / 370) = 0.4675 = 0.468

A is (0.281, 0.468)

C is (0.227, 0.319) G's X intercept at W's Y intercept

c is (0.281, 0.319) A's X intercept at W's Y intercept

|GC| is 0.751 - 0.319 = 0.432 = Height of G

|Ac| is 0.468 - 0.319 = 0.149 = Height of A

|CW| is 0.311 - 0.227 = 0.084 = Width of C

|cW| is 0.311 - 0.281 = 0.030 = Width of c

|GW| = [(0.084)2 + (0.432)2]1 / 2 = 0.4400 = 0.440

|AW| = [(0.030)2 + (0.149)2]1 / 2 = 0.1519 = 0.152

Luminous Excitance = 0.152 / 0.440 * 100 = 34.5%

Luminous Reflectance = 100 - 34.5 = 65.5%

lG = 540 nanometers.

Color B

W is (0.311, 0.319) White Point

RX = 0.6 + (7 / 370) = 0.6189 = 0.619

RY = 0.3 + (30 / 370) = 0.3810 = 0.381

R is (0.619, 0.381)

BX = 0.4 + (23 / 370) = 0.4621 = 0.462

BY = 0.3 + (17 / 370) = 0.3459 = 0.346

B is (0.462, 0.346)

E is (0.619, 0.319) E's X intercept at W's Y intercept

e is (0.462, 0.319) e's X intercept at W's Y intercept

|RE| is 0.381 - 0.319 = 0.062 = Height of R

|Be| is 0.346 - 0.319 = 0.027 = Height of B

|EW| is 0.619 - 0.311 = 0.308 = Width of E

|eW| is 0.462 - 0.311 = 0.151 = Width of e

|RW| = [(0.308)2 + (0.062)2]1 / 2 = 0.3141 = 0.314

|BW| = [(0.151)2 + (0.027)2]1 / 2 = 0.1533 = 0.153

Luminous Excitance = 0.153 / 0.314 * 100 = 48.7%

Luminous Reflectance = 100 - 47.7 = 51.3%

lR = 600 nanometers.

Color Mix

W is (0.311, 0.319) White Point

SX = 0.4 + (21 / 370) = 0.4567 = 0.457

SY = 0.5 + (14 / 370) = 0.5378 = 0.538

S is (0.457, 0.538)

MX = 0.3 + (27 / 370) = 0.3729 = 0.373

MY = 0.4 + (25 / 370) = 0.4108 = 0.411

M is (0.373, 0.411)

D is (0.457, 0.319) D's X intercept at W's Y intercept

d is (0.373, 0.319) d's X intercept at W's Y intercept

|SD| is 0.538 - 0.319 = 0.219 = Height of S

|Md| is 0.411 - 0.319 = 0.092 = Height of M

|DW| is 0.457 - 0.311 = 0.146 = Width of D

|dW| is 0.373 - 0.311 = 0.062 = Width of d

|SW| = [(0.146)2 + (0.219)2]1 / 2 = 0.2632 = 0.263

|MW| = [(0.062)2 + (0.092)2]1 / 2 = 0.1109 = 0.111

Luminous Excitance = 0.111 / 0.263 * 100 = 42.2%

Luminous Reflectance = 100 - 42.2 = 57.8%

lM = 2 / [(1 / 540e-9) + (1 / 600e-9)] = 5.68e-7 meters = 568 nanometers.