Measurements of Colour Fields.

Some experiments in the measurement of the colour fields in the horizontal direction with the pure spectrum colours will help to show what importance is to be attached to the luminosity of the colour and the size of the spot of light with which the observations are made. A yellow and a blue of the spectrum were taken of such hues that when mixed they formed a patch of white light similar to the electric light. Their luminosities were measured, and the yellow found to be 1·6 of the light of an amyl-acetate lamp or 1·28 standard candles; the blue was 1/24 of this luminosity. The fields for these two colours were measured by automatically throwing spots of each colour separately on a white card which moved round a centre over which the eye was placed. The light was subsequently diminished to ½, ¼, and ⅛ of the above values, and readings again made. The following results were obtained with a spot of ·7 inch diameter:—

Light Yellow. Blue.
Nasal side. Temporal side. Nasal side. Temporal side.
Full 33° 45° 35° 45°
½ 24° 36° 26° 38°
¼ 18° 24° 22° 32°
11° 15° 19° 30°

With a spot of ·3 inch diameter the following were obtained:—

Full24°32°21°27°
½17°28°16°22°
¼13°16°14°20°
10°13°16°

It will be evident how the field contracts as the light is diminished in brightness, and also that the blue field does not diminish equally with the yellow field, but is more persistent. Again, it will be noticed that the luminosity of the blue, for the same extent of field to be covered, has to be much lower than for the yellow.

The diminished area of the spot of light also diminishes the field, and the same order of diminution of field is obtained as with the larger spot.

Another set of experiments, made with the same aperture of slit passed through the spectrum, and the field taken at different points, give the following results:—

Spectrum scale.
(See [Fig. 41], [Page 210].
Nasal side.Temporal side.
58·618°35°
54·627°46°
50·633°47°
46·625°30°
42·621°21°
38·617°17°
34·622°30°
30·625°33°
26·633°40°
22·637°44°
18·628°40°
14·622°34°
8·620°30°

Here we see that although the luminosity of the colour spots varies at the spectrum luminosity, the fields do not vary proportionally; when the luminosities of the green, yellow and red are made equal, the fields become nearly equal on the nasal side. The field for the blue, however, then becomes vastly larger than that for the others, showing a peculiarity which is very remarkable.

Fig. 41.

Spectrum Scale.

Recently published experiments on colour fields have been so largely based on the exigencies of the Hering theory, that it is somewhat difficult to decide their significance from any other aspect.

Table I.—Luminosity Curves for the Normal Eye (see [Fig. 20]).

I. II. III. IV. V.
Scale
number.
Wave-
length.
Outside
yellow spot.
Yellow
spot.
Fovea
centralis.
647217
637082.. 1
626957 1 2 2
616839 2 4 4
606728 3·5 7 8
596621 7·5 12·5 15·5
58652012·5 21 24
57642319 33 37·5
56633027·5 50 60
55624235 65 77
54615243 80 90
53607452·5 90 97
52599661·0 96 100
51591971·0 99 100
50585079·0 100 98
49578384 99 95
48572085 97 90
47565883·5 92·5 85
46559681·0 87 79
45553877·0 81 72·5
44548172.5 75 66
43542768·0 69 59
42537362·5 62·5 51
41532157 57 45
40527052 50 40
39522146 42·5 32
38517241·5 36 27·5
37512837·5 29·5 22·0
36508533·5 24 18
35504330·0 18·2 14
34500226·5 14·2 10
33496324 10·5 8·4
32492421 8·5 6·5
31488518·5 7·0 5·5
30484816·5 5·5 4·0
29481214·5 4·7 3·5
28477613·0 4·0 3·0
27474211·5 3·5 2·0
26470710·5 2·8 2·4
254675 9·4 2·3 2·1
244639 8·2 1·82 1·9
234608 7·3 1·6 1·5
224578 6·3 1·4
214548 5·7 1·2
204517 5·0 1·08 1·0
194488 4·5 ·94
184459 4·0 ·86
174437 3·6 ·78
164404 3·1 ·70
154377 2·7 ·62 ·62
144349 2·3 ·56
134323 2·1 ·50
124296 1·9 ·45
114271 1·65 ·40
104245 1·4 ·34
94221 1·2 ·30
84197 1·0 ·26
74174 ·88 ·22
64151 ·75 ·18
54131 ·63 ·16
44106 ·50 ·14

Tables II. and III.—Curves of Luminosity of a Partially Red-Blind and of a Partially Green-Blind Person (see [Fig. 23]).

Scale
number.
Wave-
length.
Luminosity.
Red-blind. Green-blind.
64 7217 0 1
62 6957 1 2
60 6728 2 7
58 6520 6 21
56 6330 12 50
54 6152 26 80
52 5996 49 96
50 5850 70 98
48 5720 77 93
46 5596 77 83
44 5481 70 70
42 5373 61 55
40 5270 47 40
38 5172 34 27
36 5085 23 18
34 5002 14 10
32 4924 8·5 5·5
30 4848 5·5 3·0
28 4776 4·0 2·5
26 4707 2·7 2·0
24 4639 1·8 1·8
22 4578 1·35 1·4
20 4517 1·1 1·1

Table IV.—Luminosity of Spectrum Reduced in Intensity, so that D = 1/132·5 Amyl Lamp 1 Foot Distant (see [Fig. 25]).

Scale
number.
Mean
reading.
Mean reading, reduced to 100 max.P. and Q.’s readings, 100 max.Persistency curve for the centre of the eye.
55·6·5 ·6 2 2
53·65·5 7·0 3·6 3·6
51·61316·7 8 8
49·62329·72222
47·64050·04444
45·65771·26969
43·67087·59393
41·67998·7100 99·5
39·67897·5 99·5 98·5
37·67492·59693
35·66682·58984
33·65568·7 77·571
31·6 44·555·261 53·5
29·63543·7 45·5 36·5
27·62430·0 33·524
25·61721·72516
23·61316·71810
21·61012·513 8
19·6 810·0 9·5 6
13·6 3 3·7 4·2 3
9·6 2 2·5 2·5 2

Table V.—Limit of Colour Vision (see [Fig. 26].).

Scale
Number.
Wave-
Length.
Mean reading of the colour limit of the spectrum D, being 1 amyl lamp in 1/10000ths.Luminosity of the ordinary spectrum.Luminosity of the rays when each colour disappears, each ray having the original luminosity of 1 amyl lamp in 1/100000ths.
616839120 4 48·0
60672867 7 46·9
58652026 21 54·6
56633013 50 65·0
546152 9·580 76·0
525996 9·096 86·4
505850 9·0100 90·0
485720 9·097 87·3
445481 9·575 71·3
405270 10·550 52·5
365085 12·524 30·0
32492418 8·515·3
28477632 4·012·8
24463955 1·812·0
20451790 1·08 9·7
164404160 ·7011·2
124296250 ·4511·0
84197400 ·2610·4
44106700 ·14 9·8

Table VI.—Extinction by Central Portion of Normal Eye (see [Fig. 28]).

I.II.III.IV.V.VI.
Scale
number.
Wave-
length.
E.
Reduction of original luminosity in millionths to cause extinction.
L.
Luminosity of original beam.
(E × L) / 100Persistency curve 650 / E (Maximum = 100).
64721755,000
63708230,000 1300·0
62795715,000 2300·0
6168397500 4300·0
6067283750 7262·5
5966211900 12·5237·5 ·34
5865201050 21220·5 ·62
57642365033214·5 1·0
56633338050190·0 1·71
55624227265176·8 2·38
54615219680156·0 3·32
53607414090126·0 4·64
525996 979693·12 6·70
515919 579956·43 11·40
505850 35100 35·0 18·6
495783 249923·76 27·1
485720 179716·49 38·2
475658 12·6 92·511·65 51·6
465596 10·2878·87 63·7
455538 8·6816·97 75·6
445481 7·4755·55 87·8
435427 6·7694·62 97·0
425373 6·55 62·54·09 99·5
415321 6·5573·705100
405270 6·55503·27 98·5
395221 6·65 42·52·83 97·5
385172 6·85362·46 95·0
375128 7·2 29·52·12 90·0
365085 7·6241·82 81·3
355043 8·15 18·21·48 80·0
345002 8·8 14·21·25 74·0
334963 10·2 10·51·07 63·0
324924 11·6 8·5 ·988 56·0
314885 13·6 7·0 ·952 47·7
304848 16·3 5·5 ·896 40·0
294812 20·5 4·7 ·963 31·7
284776 26·0 4·01·040 25·0
274742 31·0 3·51·085 20·9
264707 38·5 2·81·078 16·9
254674 46·0 2·31·058 14·1
244639 56·0 1·821·019 11·6
234608 67·0 1·61·072 9·7
224578 80 1·41·120 8·41
214548 95 1·21·140 7·22
204517107 1·081·156 6·1
194488124 ·941·165 5·23
184459140 ·861·204 4·64
174437160 ·781·228 4·1
164404180 ·701·260 3·60
154377200 ·621·240 3·25
144349220 ·561·232 2·95
134323240 ·501·200 2·7
124296270 ·451·215 2·4
114271300 ·401·200 2·18
104245335 ·341·139 1·94
94221375 ·301·125 1·73
84197430 ·261·118 1·51
74174490 ·221·078 1·32
64151510 ·18 ·918 1·27
54131640 ·161·024 1·01
44106750 ·141·050 0·86

Table VII.—Extinction by Whole Eye (see [Fig. 28]).

I.II.III.IV.V.VI.
Scale
number.
Wave-
length.
E.
Reduction of original luminosity in millionths to cause extinction.
L.
Luminosity of original beam.
(E × L) / 160Persistency curve 650 / E (Maximum = 100).
385172 6·941·52·8694·2
375128 7·137·52·6691·6
365085 7·433·52·4887·8
355043 7·730·02·3184·4
345002 8·026·52·1281·2
334963 8·424·02·0277·5
324924 8·821·01·8573·8
314885 9·418·51·7469·2
30484810·016·51·6565·0
29481210·714·51·5560·6
28477611·513·01·4956·5
27474213·011·51·4950·0
26470714·510·51·5244·8
24463918·5 8·21·5234·1
22457823·0 6·31·4528·3
20451730·0 5·01·5021·7
18445939·0 4·01·5616·7
16440451 3·11·5912·3
14434966 2·31·52 9·85
12429680 1·91·52 8·12
104245110 1·41·54 5·91
84197154 1·01·54 4·22
64151204 ·751·54 3·18
44106307 ·51·54 2·11
24063513 ·31·54 1·26
04020770 ·21·54 ·84

From 38 to 64 the extinction is the same as with the central part of the eye.

Table VIII.—P.’s Curves[B] (see [Fig. 31]).

I. II. III. IV. V. VI. VII.
Scale
number.
Wave-
length.
Mean reading of extinction in millionths of original luminosity.Adopted reading in millionths of original luminosity.Persistency curve (680 / ad. reading).P.’s luminosity curve.Absolute luminosity of extinction. (IV. × VI.) / 14
525996686810 734
5058503535 19·41947·5
4857201717403947·3
465596 10·210686546·4
455538 9·3 9·0767648·8
445481 8·0 8·1849052·8
425373 7·2 7·2 94·59850·3
405270 6·7 6·8100 9948·1
385172 7·2 7·097 97·548·7
365085 8·05 7·7909049·5
345002 8·05 8·4818047·9
324924 9·9 9·8696545·5
304848 13·2 12·5545044·6
284776 13·9 15·0 45·33638·6
274742 16·8 17·040 31·538·2
264707 21·6 20·532 26·538·8
244639302725 19·537·6
2245783635191435
2045174245 15·51032·2
1644047979 8·5 5·531·2
104245180 190 3·6 2·532·2
64151270 270 2·7

[B] In this and the next two Tables the intensity of the illumination of the D ray before reduction is equal to that of an amyl-acetate lamp at one foot from a screen. The figures in Col. VII. are in millionths of the illumination of an amyl-acetate lamp at one foot distant, every ray being made of that intensity.

Table IX.—H. R.’s Curves (see [Fig. 32]).

I.II.III.IV.V.VI.VII.
Scale
number.
Wave-
length.
Mean reading of extinction in millionths of original luminosity.Adopted reading in millionths of original luminosity.Persistency curve (590 / ad. reading).Luminosity curve.Absolute luminosity of extinction (IV. × VI.) / 48
5764231200 1200 ·495 125
566330900 850 ·697 124
556242500 550 1·0710 115
546152250 250 2·3617 88
536074..150 3·9325 78
5259969090 6·5635 66
5159196045 13·1 47 44
5058502727 21·8 57 32
4857201815 39·3 66 21
465596101059 69 14
445481 9·3 8 73·8 64 11
425373 6·5 6·2 95·1 56·5 7
405270 5·9 5·9100 45 5·5
385172 6 6 98·3 32 4
365085.. 6·6 89·4 20 2·7
355043 7 7·2 81·9 16 2·4
345002.. 8 73·8 12·5 2·1
32492410 9·6 61·5 8 1·6
304848 11·512 49·2 6 1·5
284776 14·5 14·5 40·7 5 1·5
26470720 17·5 33·7 4 1·5
2446392022 26·8 3 1·4
224578..30 19·7 2·4 1·5
1844595557 10·4 1·3 1·5
144349115 115 5·1 ·7 1·7
104245..160 3·7 ·5 1·7
64151200 200 2·9 ·4 1·7

Table X.—V. H.’s Curves (see [Fig. 33]).

I.II.III.IV.V.VI.VII.
Scale
number.
Wave-
length.
Mean reading of extinction in millionths of original luminosity.Adopted reading in millionths of original luminosity.Persistency curve (530 / ad. reading).Luminosity curve.Absolute luminosity of extinction (IV. × VI.) / 75.
576423500 500 1·131 206
566330350 350 1·543 200
546152200 180 2·961 146·4
525996100 100 5·370 93·3
505850 40 40 13·373 38·9
485720 .. 25 21·269 23
465596 10 10 53·063 8·4
455538 6·5 6·5 81·658 5·0
445481 6·0 5·7 93 54 4·1
425373 5·5 5·3100 46 3·3
405270 5·5 5·4 98·236 2·6
385172 5·7 5·7 93 24 1·8
365085 6·7 6·5 81·615 1·3
345002 7·0 7·0 75·7 9·5 ·89
324924 8·5 8·5 62·3 7·0 ·79
304848 10·7 10·5 50·5 5·0 ·70
284776 16 16 33·1 3·7 ·79
264707 .. 22·5 23·5 2·7 ·81
244639 30 31 17·1 1·82 ·75
224578 42·5 42 12·6 1·4 ·78
204517 55 55 9·6 1·0 ·73
164404105 100 5·3 ·7 ·93
124296175 170 3·1 ·45 1·02
104245200 200 2·7 ·34 ·91

Table XI.—B. C.’s Curves (see [Fig. 34]).

I.II.III.IV.V.VI.
Scale
Number.
Wave-
length.
Adopted reading in hundred thousandths.Persistency curve 12,500 readings in V.Luminosity of original beam.Absolute luminosity of extinction III. and V.
6168397500 1·6
6067285500 2·3 ·5 27·5
5966224000 3·11 40
5865202800 4·52 56
5764232000 6·24 80
5663301500 8·36 90
5562421150 10·8 8 92
546152950 13·1 11·5 109·2
536074750 16·6 16 120
525996580 21·6 21·5 125
51591943029 28·5 122·5
50585035036 37 129·5
495783275 45·5 47 129·2
48572021558 60 129
475658170 73·4 76 129·2
465596140 89·3 92 129
455538125100 98 122·5
445481125100 100 125
435427130 96·1 97 126
42537315083 85 127·5
415321180 69·4 65 117
40527021559 45 96·7
39522125050 30 75
38517229043 1·5 723·2
37512833537 16 53·6
36505538033 11·5 43·7
34500250025 7 35
32499465019 4 26
30484885014 2·5 23·3
2847761100 11·4 2 22
2647071500 8·3 1·5 22
2446392000 6·21 20
2245782700 4·65 13·5
1844594750
1443497500
10424511000

Table XII.—M.’s Luminosity Curve compared with the Normal (see [Fig. 30]).

I.II.III.IV.V.VI.VII.
Scale
number.
Wave-
length.
Mean
reading.
Mean
reading
× 1·8.
Normal luminosity curve, centre of eye.Difference of last two columns.Difference
× 5·15.
6168392 3·6 4 ·4 2·57
5966217 12·6 12·5 -·1 ·51
57642318 32·4 33 +·6 3·09
55624236 64·8 65 ·2 1·03
53607449 88·2 89·5 1·3 6·71
52599652 95·4 96·5 1·1 5·66
51591954 97·2 99·5 2·3 11·8
50585054 97·2 100 2·8 14·4
49578252·5 94·5 99·5 5·0 25·7
48572050 90 97 7·0 36·0
47565846 82·8 92·5 9·7 49·9
46559641 73·8 87 13·2 68·0
44548132 57·6 75 17·4 89
42537323 43·2 62.519·3 99
40527017 30·6 50 19·4 100
38517210 17·5 35·5 18 93
3650854 7·2 24 16·8 86·5
345002 1·01·8 14·5 12·7 65·5
314885 ·5 ·7 6·55·8 37·7
2847760 0 4 4 20·6

Table XIII.—Miss W.’s Curves (see [Fig. 39]).

Scale
number.
Wave-
length.
Readings.Extinction in 1/100000.Persistency
curve.
6370820
6269571
6067287
58652018
57642328
56633043
54615276 900 2
52599690 250 7
50585095 130 13·5
48572093 60 29
46559683 34 51
44548171 22 80
42532158 18·5 92
40527046 17·5 100
38517232 18 94
36508521 19·5 90
345002 12·5 22 79
3249247 27 65
304848 4·5 34 51
284776 3·0 40 38·5
254675 1·5 60 29
204518 0·4 250 7
194488 0·0 350 5
164404600