Comparative spectrum · 84 Remington plates against 466 First Cow frames

Same Fire, Different Green

First Cow is said to have been modelled on Frederic Remington's nocturnes. Measured on colour against 36 other films it is one of the least Remington-like in the corpus; measured on seventeen axes that are not colour it is middling. Its firelight and Remington's are the same to the limit of what a reproduction can resolve.

The claim under test is specific enough to measure: that the grade, and the colour, of First Cow (2020) were modelled on the body of Frederic Remington nocturnes shown as The Color of Night. This report does not test composition, subject or staging. It tests colour, one material at a time, and it tests the whole picture as well: is the night sky the same night sky, is the forest green the same forest green, is the snow the same snow.

Two corpora are compared. On one side, all 466 photographed midpoint frames of First Cow, measured by the pipeline this repository uses for every film it holds. On the other, 84 supplied reproductions of Remington paintings, put through the same code with the same thresholds. Ten of those 84 turn out to be second printings of a painting already in the set, which is a gift: the disagreement between two printings of one painting is the smallest difference this method can honestly resolve, and it is measured rather than assumed.

The answer is not one word. At the level of the whole picture the two do not meet: First Cow ranks 35th of 39 corpora for closeness to Remington's nocturnes on colour, about as far away as Remington's own daylight paintings are, and 23rd of 39 on eleven further axes that have nothing to do with hue. At the level of individual materials the picture splits. Where the light source is a fire, the two are indistinguishable. Where the light is the sky, they sit on opposite sides of neutral. The film's forest green is in Remington's green family and roughly twice as far from grey. And the film's snow cannot be compared with Remington's, because the film has none.

Film corpus
466 photographed midpoint frames, 1436×1080 active picture, 8-bit WEB-DL read as gamma 2.4
Plate corpus
84 supplied reproductions, 74 distinct works, 10 works held twice
Control corpora
36 other films on the stills volume, 120 frames sampled from each
Measurements
9 material questions in u′v′ chromaticity, plus 17 further axes of which 9 resolve above their own reproduction floor

Two corpora that cannot share a lightness scale

First Cow reaches this repository as an 8-bit distribution encode whose photographed frames average L* 7.28. The Remington plates reach it as screen grabs of printed reproductions of oil paintings, and average L* 42.5. Subtracting one from the other measures the difference between a digital cinema master and a book page. Nothing in this report does that.

Instead each picture is normalised by its own diffuse white — the mean linear luminance of its brightest half per cent is placed at 1.0 — which is the ordinary colourist's move of matching level before judging colour. A scalar gain in linear light leaves chromaticity exactly unchanged, so all colour statements are made in CIE 1976 u′v′, where that normalisation provably cannot have any effect at all. Two numbers describe a material: Δu′v′, how far its chromaticity sits from the D65 white point, and the direction it sits in.

Lightness statements are made separately, in the delivered encode, and are labelled as statements about the encode. Where a region of the film is described by so few code values that a hue measured from it would be a measurement of the compression rather than of the photography, the report says so and stops.

One assumption in that chain is worth pricing rather than merely declaring. The plates are decoded with gamma 2.4 so that they sit on the same footing as the film, and a screen grab is at least as likely to be sRGB. Unlike the exposure normalisation, which provably cannot move chromaticity, a different transfer does. Decoding all 84 plates both ways moves them by a median Δu′v′ of 0.00239 and at most 0.00969, with hue directions never more than 4.0 degrees apart — and every one of the 84 moves less than the reproduction floor of 0.01179. The choice of transfer is not what limits this report. The printing is.

Mean chroma, plates
C* 13.1160 nocturne plates, white-normalised
Mean chroma, film
C* 13.11466 frames, white-normalised
Mean hue, plates
79°chroma-weighted CIELAB hue
Mean hue, film
144°chroma-weighted CIELAB hue
Transfer assumption
Δu′v′ 0.00239median move from gamma 2.4 to sRGB; 100% of plates move less than the floor

Those four numbers are the report in miniature. Once both corpora are exposed to the same white they carry almost exactly the same quantity of colour — C* 13.11 against C* 13.11 — and they put it in completely different places: 79 degrees, a warm yellow-orange, against 144 degrees, a green.

What a second printing does to a painting

Ten of the 84 plates are second printings of a painting already in the set, found by structural matching and confirmed by eye. They are the report's instrument calibration. Sampling the same rectangle of the same painting in both printings gives a difference caused by nothing except ink, paper and scanner, and no difference smaller than that is reported below as a difference.

Across those pairs the same rectangle moves by Δu′v′ 0.00879 at the median and 0.01179 at the worst, with hue directions as much as 26.2 degrees apart. Whole plates move by Δu′v′ 0.00783 at the median. On the hue-spectrum measure used in the next section, two printings of one painting differ by 14.41 degrees at the median and 52.94 degrees at the worst.

A blanketed rider crossing moonlit snow, reproduced with a green cast.
Reproduction A — the same painting, printed with a green cast.
The same painting of a blanketed rider crossing moonlit snow, reproduced with a blue-grey cast.
Reproduction B — the same painting, printed with a blue-grey cast.
Two printings of one Remington nocturne. Nothing about the painting changed between them. Everything this report can say about Remington's colour is said through this much noise.
Material sampled Plates Δu′v′ between printings Hue direction apart ΔL* after exposure match
Unlit timber R63 / R12 0.0118 26.2° -3.21
Moonlit snow R15 / R77 0.0069 6.0° -0.34
Night sky R6 / R22 0.0106 6.9° +5.18
Campfire core R18 / R47 0.0023 2.6° +1.72

Each row is one painting held twice in the supplied plate set, sampled at the identical rectangle in both printings. Nothing about the painting changed between the two columns.

The campfire core is the steadiest thing in the set: two printings of the same fire agree to Δu′v′ 0.0023. The unlit timber is the least steady, at 0.0118. That ordering matters later, because the fire is also where the film and the paintings agree and the timber is where they part.

The whole picture: two spectra that do not meet

The first test ignores materials entirely. Every image is reduced to a chroma-weighted CIELAB hue spectrum — how much of its colour sits in each of 36 hue sectors, with near-neutral pixels dropped rather than allowed to vote with a rounding error. Two spectra are compared with the circular earth mover's distance, which reads as the average hue shift, in degrees, needed to turn one into the other.

On its own that number means nothing. It becomes a test only against controls, so the same spectrum was computed for 120 sampled frames from each of 36 other films on the stills volume, and for Remington's own daylight and twilight plates. Each distance is bootstrapped over images, and each is recomputed against a reference rebuilt from the other printing of every duplicated work.

First Cow
34.5°rank 35 of 39
Remington · daylight
33.3°rank 33 of 39
Closest corpus
9.8°Gangubai Kathiawadi
Jesse James
20.8°the western in this corpus, rank 18
Chroma-weighted CIELAB hue spectra after exposure matching. Both corpora put colour right across the wheel; what differs is where the weight sits. Remington keeps 54% of his chroma in the reds, oranges and yellows below 110°, against 32% for the film, and the film answers with 56% in the greens, cyans and blues between 110° and 250° against 28% for the plates. The strip beneath the axis shows the hue each sector refers to.
Distance from the Remington nocturnes for every corpus measured, with bootstrap intervals. First Cow sits 35th of 39, statistically level with Remington's own daylight paintings and further away than every film in this repository except three. The closest corpus is a Bombay period melodrama, which is the reason this measure needs controls before it means anything.
Hue band Remington · nocturnes First Cow
0–60° · reds and oranges 20.1% 7.3%
60–110° · yellows 34.3% 24.4%
110–180° · greens 22.4% 34.1%
180–250° · cyans and blues 5.9% 21.6%
250–320° · blue-violets 9.7% 11.8%
320–360° · magentas 7.5% 0.8%

Highlighted rows are the two bands on which the corpora most nearly reverse: the greens and the cyans, where the film holds more of its colour and Remington holds least.

Two conclusions follow, and they point in opposite directions. The first is that First Cow's colour spectrum is not Remington's: the distance is 34.5 degrees against a bootstrap interval of 32.0 to 37.0, and 34 of the 38 other corpora measured are closer. Remington keeps more than half his chroma in the warm half of the wheel (54% below 110°) and almost none in the cyans (6%); the film reverses both (32% and 22%). The magentas are the sharpest single split: 7.5% of Remington's chroma against 0.8% of the film's.

The second conclusion is that closeness on this measure is not evidence of anything, because the corpus that wins it is Gangubai Kathiawadi. A film can share a hue spectrum with Remington by having a lot of lamplight and a lot of blue-grey, which is most of cinema.

That is why the rest of this report stops comparing whole pictures and starts comparing materials.

The measurements that are not colour

Everything above this point is hue and chroma. That is a narrower report than it looks: the eleven per-image numbers behind it have a participation-ratio dimensionality of 5.6 across 4,870 images, and the argument they carry reduces to four families — hue, chroma, lightness, and whether a material is present at all. Ten materials times two colour numbers reads as twenty measurements and is two.

So seventeen further axes were measured on every image in every corpus, chosen to be as nearly independent of each other as a picture allows and either scale-free or expressed against the picture's own diffuse white. Eleven describe tone architecture, how concentrated the light and the colour are, and how warmth and lightness are coupled. Three describe where the light sits in the frame. Three describe surface texture and are reported as a control rather than as evidence, because a painting is printed, scanned and screen-grabbed before it reaches this measurement and a film frame is sampled and compressed, and the two have no shared physical scale.

Each axis carries its own reproduction floor, computed from the same ten duplicated works, because a picture's key and its lit-region count are not equally robust to being printed twice. That floor disqualifies more than it confirms: 9 of the 17 axes put First Cow further from the nocturne median than two printings of one painting are from each other. On the other eight, including two of the three this section was built to test, reproduction noise is larger than the difference and the honest answer is that there is nothing to report.

Axes that resolve
9 of 17gap larger than that axis's own reproduction floor
Combined distance
6.02over 11 robust axes, rank 23/39
Combined floor
3.987 corpora fall inside it
Closest film
2.02Portrait of a Lady on Fire
Every corpus on every axis, in units of the Remington nocturnes' own spread. The grey band is that axis's reproduction floor — the largest disagreement between two printings of one painting. On three axes every one of the 39 corpora falls inside that band — lit-region count, warm–bright coupling, illuminant bimodality — so those three separate nothing from anything and are reported as unusable rather than as agreement.
Axis Kind Remington First Cow Gap ÷ floor Rank
Light concentration Robust 0.467 0.689 5.0× 22/39
Dynamic range Robust 0.742 0.910 3.6× 7/39
Key Robust 0.445 0.196 3.3× 27/39
Chromaticity entropy Robust 2.325 4.064 1.9× 30/39
Tonal separability Robust 0.777 0.692 1.8× 39/39
Lightness skew Robust 0.566 1.265 1.7× 30/39
Largest lit region Robust 0.380 0.062 1.0× 36/39
Chroma concentration Robust 0.290 0.378 below floor 14/39
Warm–bright coupling Robust -0.094 0.256 below floor 33/39
Illuminant bimodality Robust 0.166 0.304 below floor 30/39
Lit region count Robust 9.000 10.000 below floor 9/39
Vertical gradient Layout -0.235 0.074 10.2× 28/39
Centre–edge lightness Layout -0.038 0.020 3.9× 16/39
Centre–edge chroma Layout -0.004 0.001 below floor 3/39
Spectral slope Medium -2.789 -2.599 below floor 6/39
Local contrast Medium 0.068 0.064 below floor 5/39
Gradient energy Medium 0.192 0.190 below floor 1/39

Highlighted rows clear their own reproduction floor. “Below floor” means the difference between the film and the nocturnes is smaller than the difference between two printings of one painting, so nothing is claimed for that axis. Rank 1 is the corpus closest to the nocturnes. Robust axes should mean the same in either medium and carry the argument; layout axes describe where the light sits in the frame; medium axes are dominated by the reproduction chain and are reported as a control rather than as evidence.

What the structure says

  • Vertical gradient is the best-resolved axis in the set at 10 times its floor: Remington's pictures are brighter at the bottom (-0.23), the film's at the top (+0.07). Snow under a dark sky against sky over a dark wood.
  • The film's light is far more concentrated — luminance Gini 0.69 against 0.47, five times the floor — and its largest lit region covers 6% of the picture against his 38%.
  • It sits at less than half his relative key (0.20 of its own white against 0.45) while using more of its own range (0.91 against 0.74).
  • Its chromaticity entropy is 4.06 bits against his 2.33: the film holds more distinct colours than the paintings do, which no amount of hue-spectrum measuring was going to show.

What could not be measured

  • Three axes put all 39 corpora inside their own reproduction floor: lit-region count, warm–bright coupling, illuminant bimodality. They cannot distinguish any corpus from the nocturnes, so they answer nothing about this film in particular.
  • Two of those three were the axes built to test “one warm event in a cool field”. Whether warmth rises with light, and whether a picture is lit by one source or two, do not survive being printed and scanned.
  • Chroma concentration is not dead — 29 of 39 corpora sit inside its floor — but First Cow is one of them, so the film and the plates cannot be separated on how unequally they distribute colour. They can be separated on how unequally they distribute light: only one corpus of 39 is inside the floor there.
  • Largest lit region is the weakest of the resolved findings: the film clears its floor by three per cent, and 34 of 39 corpora do not clear it at all.

The texture control failed, and that is a result

  • Spectral slope: Remington -2.79, First Cow -2.60 — a gap of 0.57 spreads against a floor of 2.11.
  • On gradient energy the film ranks 1 of 39 — the closest corpus of all to the nocturnes, at three hundredths of a spread.
  • These three axes were included to prove the method could separate a painted surface from a photographed one. It cannot: at native sampling these reproductions and these frames have indistinguishable texture statistics, and two printings of one painting differ more than the media do.
  • Sensitivity is instead demonstrated by the robust axes themselves, five of which put the film more than three floors from the nocturne median.

Structure against colour

  • Combined over the eleven robust axes, First Cow is 23rd of 39 at 6.02 reference spreads.
  • Seven corpora fall inside the combined floor of 3.98, including Remington's own daylight and twilight plates. The closest film is Portrait of a Lady on Fire.
  • On colour the film ranked 35th of 39. On structure it ranks 23rd. It is more Remington-like in how it is built than in what colour it is — and distinctive on neither.
  • The two rankings disagreeing is itself the point: a single measure would have hidden it.

One result here contradicts something written earlier in this report. The claim that both bodies of work “organise a frame as a small bright thing against a large dark one” survives only in half. Both do: tonal separability is 0.78 for the plates and 0.69 for the film, and both are high. But the film is 39th of 39 on that axis — the least cleanly split corpus measured — and its bright thing is a sixth the size of his. They share the architecture and disagree about its proportions.

What the two actually share

Nine material questions produce one clear agreement, one substitution that lands inside the noise, one partial agreement and five differences. Read as a list that is a negative result. Read as a shape it is more interesting than that, because the agreements and the differences fall along a single line.

One warm event in a cool field

  • Both put almost all of a picture's chroma into a small lit area and leave the rest of the frame near-neutral — and the chroma-concentration axis cannot separate them on it, so this is a shared tendency that survives measurement rather than a proven identity.
  • Both keep that lit area in the same orange: 45° across Remington's nocturnes, 38° across First Cow.
  • Both accept a large dark mass they make no attempt to open up.
  • Neither clips: the film's channel-clipping share across 466 frames is 0.0000, and Remington's plates reach their ceiling in paint.

The same quantity of colour, elsewhere

  • After exposure matching the two carry almost identical mean chroma: C* 13.11 for the nocturne plates, C* 13.11 for the film.
  • They put it in different places: mean hue 79° against 144°.
  • Remington's ambient is warm and his fires are warm, so his pictures agree with themselves.
  • First Cow's ambient is cool and its fires are warm, so its pictures are built on a contradiction the paintings do not have.

Where the ambient light decides everything

  • Sky: plate 6°, film 167° — opposite sides of neutral, and no corpus measured is inside the floor here.
  • Ground: plate 44°, film 86° and 175°.
  • Water: plate 279°, film 211° and 103°.
  • Forest: plate 101°, film 136°, Δu′v′ 0.0188 apart — outside the floor, and 23rd of 38 corpora.

Where the two are the same picture

  • Flame cores agree to Δu′v′ 0.0074, inside the reproduction floor.
  • Remington's snow and the film's pale overcast field agree to Δu′v′ 0.0077, also inside it.
  • Both organise a frame as a small bright thing against a large dark one — but the film's bright thing covers 6% of the picture against his 38%, and the film is the least cleanly split of all 39 corpora measured.
  • None of these agreements is distinctive: 8 of 38 corpora are inside the floor on fire, 21 of 39 on the pale field, and 7 of 39 on the combined non-colour distance.

The single sentence version: First Cow and Remington's nocturnes agree about fire and disagree about daylight. Every material lit by a flame lands in the same place; every material lit by the sky lands on the other side of the white point. A painter working in 1908 warmed his ambient because that is what the convention and the medium did; a digital grade in 2019 cooled its ambient because that is what an overcast Oregon location gives and what this film wanted to keep.

That is a real family resemblance and it is not the resemblance the claim describes. It is the resemblance any two pictures share when both are built out of darkness with one fire in it.

Question 1 of 9

Is the night sky the same night sky?

Encode-limited

Remington's night skies are the most varied material in the plate set. Sampled in two of them, one measures Δu′v′ 0.0085 from D65 — almost a neutral grey, with only a faint blue-violet lean — and the other 0.0479, a definite deep blue. Between two paintings the same material is five times more coloured in one than the other, and both readings are far above the reproduction floor, so that spread is Remington's, not the printer's.

First Cow has one clear open night sky in its 466 photographed frames: a star field above a treeline, shot 307. Measured, it returns Δu′v′ 0.2552 at a direction of 263 degrees — an enormous, deep blue. That number is not a fact about the film. The region's mean 8-bit code value is 5.9 out of 255, and the whole patch is described by 45 distinct levels. At that level the encode's own quantisation is larger than the colour being measured, and dividing by the frame's very small diffuse white multiplies the error along with the signal.

What can be said is narrower and still worth saying. The direction of the film's night sky, 263 degrees, falls between the two Remington skies measured here, at 252 and 285 degrees. Both media put their night sky in the blue-violet quadrant, which is the least surprising agreement in this report — it is where night skies go. Whether the film's is as deep as Remington's deepest, or as nearly neutral as his palest, cannot be settled from an 8-bit distribution encode. It would take the master.

Two riders on a moonlit sagebrush plain under a dark blue night sky.
Remington · sky band above the ridge — Δu′v′ 0.0479 from D65, direction 252°.
A star field over a dark conifer treeline at night.
First Cow · shot 307 — mean code value 5.9 of 255; the measured chromaticity is a measurement of the encode.
The film's only open night sky, beside one of Remington's. The plate is described by 144 distinct code values, the frame by 45.
Remington R7
Δu′v′ 0.0479direction 252°, ample levels
Remington R41
Δu′v′ 0.0085direction 285°, ample levels
First Cow 307
Δu′v′ 0.2552direction 263°, quantisation-limited
Sky detections in the film
58 of 46625 with enough levels to measure a hue

Question 2 of 9

Is the daylight sky the same daylight sky?

Opposite sides of neutral

Both bodies of work spend a great deal of time under flat cloud, and both keep that cloud close to grey. The difference is which way each of them leans off grey, and the answer is: opposite ways.

Remington's overcast, sampled above the snow slope, sits Δu′v′ 0.0134 from D65 at a direction of 16 degrees — a warm, faintly pink-grey. First Cow's overcast sits at 0.0127 and 0.0249 in the two frames sampled, at directions of 187 and 213 degrees. The magnitudes are almost identical; the directions are 171 and 162 degrees apart, which is as close to exactly opposite as two directions get.

The separation between them, Δu′v′ 0.026 and 0.038, is two and three times the reproduction floor, so this is a real difference and not an artefact of printing. Corpus-wide the same thing shows up: across Remington's nocturne plates the sky band's mean direction is 6 degrees, warm; across the film it is 167 degrees, cyan. The film's sky is not a desaturated version of Remington's sky. It is the other side of the wheel.

The control run is unusually clean here: not one of the 39 corpora measured falls inside the reproduction floor of Remington's nocturne sky, including his own daylight plates, which sit 0.0240 away. His skies are too varied for a corpus median to be close to anything. First Cow ranks 22nd of 39, at Δu′v′ 0.0473. The claim defended here is the direction, not the rank: whatever else is true of Remington's skies, they do not lean cyan, and the film's do.

A muffled rider on a dark horse crossing a snow slope under a pale grey sky.
Remington · overcast above the snow — Δu′v′ 0.0134, direction 16°: a warm grey.
A white flag on a pole against a flat overcast sky above a shingled roof.
First Cow · shot 251 — Δu′v′ 0.0249, direction 213°: a cool grey.
Two overcast skies of almost identical colourfulness, leaning opposite ways. The swatches show the measured chromaticities at a common lightness, which is the only fair way to put them side by side.
The same three samples on the u′v′ plane, with the reproduction floor drawn around D65 for scale. The plate falls on the warm side of the white point and both frames fall on the cool side.
R25 vs shot 92
Δu′v′ 0.0260171° apart · resolved difference
R25 vs shot 251
Δu′v′ 0.0378162° apart · resolved difference
Plate sky direction
mean over 35 nocturne plates
Film sky direction
167°mean over 25 usable detections
Rank Corpus Images with the material Δu′v′ from the nocturne median Direction apart
1 Drive 11 0.0170 19.5°
2 Oppenheimer 10 0.0181 56.8°
3 Zatoichi 11 0.0212 16.2°
4 Remington · daylight 12 0.0240 62.5°
5 1917 18 0.0249 83.0°
6 Gangubai Kathiawadi 11 0.0274 71.2°
22 First Cow 25 0.0473 161.1°

Highlighted row is First Cow. Rank 1 is the corpus whose median for this material sits closest to the Remington nocturnes; a corpus inside the reproduction floor is not distinguishable from them at all.

Question 3 of 9

Is the unlit forest green the same forest green?

Same family, further from grey

This is the material the film is made of and the one Remington uses least: the dark green-to-cyan rule finds a qualifying mass in 88% of First Cow's frames and in 12% of the nocturne plates. Remington's nocturnes are open country; First Cow is inside a wood for most of its length. Any comparison here is between a corpus staple and a corpus exception.

Where both have it, the direction is broadly shared and the amount is not. Remington's unlit timber measures Δu′v′ 0.0239 and 0.0163 in the two printings of one painting; the film's fern and moss measure 0.0399 and 0.0667 in the two frames sampled. Across the corpora the same gap holds: the plate median is 0.0181 against the film's 0.0307. First Cow's unlit green is roughly 1.7 times further from grey than Remington's.

The directions differ too, and by more than the floor: 101 degrees across the plates against 136 degrees across the film. Remington's dark green leans toward yellow; the film's leans toward cyan. Of the seven other films checked here that have enough dark green to measure, First Cow's is the most cyan of all, which is a point about this grade rather than about forests.

Against controls the film's green is not especially Remington-like either. Measured the same way, First Cow is 23rd of 38 corpora for closeness to Remington's unlit green, outside the reproduction floor, while 9 corpora sit inside it — Point Blank, Gangubai Kathiawadi, Leviathan, 1917 and Let the Right One In among them. The film's forest is further from Remington's than most films' shadows are, and it is further in a specific direction: toward cyan, and away from grey.

The honest qualifier is large. This exact rectangle is the least stable in the whole reproduction control: the two printings of the same Remington painting disagree by Δu′v′ 0.0118 and 26 degrees of direction, which is about three quarters of the corpus-level hue gap between the plates and the film. The corpus medians are built from many images and are therefore steadier than any single pair, but a reader who wants to see this difference in one painting and one frame will be looking at something a printer could have caused.

Figures and a deer in a green-lit forest clearing at night.
Remington · unlit timber — Δu′v′ 0.0260, direction 86°.
A mossy trunk and fern fronds filling the frame in dim forest light.
First Cow · shot 18 — Δu′v′ 0.0399, direction 116°.
Unlit forest in both media. The hue directions are 21 degrees apart, which is inside the reproduction floor; the distances from grey are not.
Two printings of one Remington painting and two First Cow frames. The gap between the two printings of the same painting is a third of the gap between the painting and the film, which is what makes the comparison possible at all.
Shot 18 vs R63
Δu′v′ 0.019621° apart · resolved
Shot 18 vs R12
Δu′v′ 0.031347° apart · resolved
Plate corpus median
Δu′v′ 0.01817 plates, direction 101°
Film corpus median
Δu′v′ 0.0307297 frames, direction 136°
Rank Corpus Images with the material Δu′v′ from the nocturne median Direction apart
1 Point Blank 39 0.0069 2.2°
2 Gangubai Kathiawadi 68 0.0070 5.5°
3 Leviathan 37 0.0070 12.6°
4 1917 72 0.0086 1.3°
5 Let the Right One In 84 0.0097 11.1°
6 Drive My Car 54 0.0108 32.7°
23 First Cow 297 0.0188 34.3°

Highlighted row is First Cow. Rank 1 is the corpus whose median for this material sits closest to the Remington nocturnes; a corpus inside the reproduction floor is not distinguishable from them at all.

Question 4 of 9

Is the snow the same snow?

No counterpart in the film

There is no snow in First Cow. All 466 photographed frames were reviewed at thumbnail size and none contains any. The film is set in the Oregon wet season and its weather is rain, river mist and mud. Snow is Remington's single most distinctive material — it appears in roughly a third of the plate set and it is what most of his best-known nocturnes are made of — and the film simply does not have it. That asymmetry is the largest single fact in this report and no measurement can repair it.

What can be done is a substitution test, stated as such. If the question is what happens to the picture's largest pale, low-chroma field — the material that sets the ceiling and carries the light — then Remington's is snow and First Cow's is overcast sky and the river under it. Both were sampled and compared, not as the same material, but as the same job in the composition.

They land in almost the same place. Remington's sunlit snow measures Δu′v′ 0.0114 from D65 and his moonlit snow 0.0155; First Cow's overcast sky measures 0.0127 and 0.0249. The separation between the film's fort sky and Remington's sunlit snow is Δu′v′ 0.0082, and against his moonlit snow 0.0053 — both below the reproduction floor of 0.01179. On the chromaticity plane, this film's pale field and this painter's snow are indistinguishable at the resolution this method has.

The corpus-wide version agrees. The bright low-chroma field rule finds a qualifying field in 38% of the nocturne plates at a median Δu′v′ of 0.0186, and in 23% of the film's frames at 0.0166. The directions are 112 and 136 degrees, which is inside the floor as well.

That agreement is real and it is not distinctive. On the same measurement across every corpus here, First Cow is 15th of 39 for closeness to Remington's large pale field, and 21 corpora fall inside the reproduction floor. The closest of all is The Assassination of Jesse James by the Coward Robert Ford, at Δu′v′ 0.0011 — which is what one would expect from a film with real snow in it, and is the clearest illustration in this report of how little a single material agreement proves.

The lightness is a different story and cannot be compared honestly. Remington's snow reaches a median L* of 82 after exposure matching; the film's pale field reaches 57. In the delivered encode the gap is far wider still, 62 against 22. A painted snow field is the brightest thing in its picture by a long way, and First Cow's brightest thing is not.

A mounted scout on a dark horse silhouetted against a sunlit snow field and blue sky.
Remington · sunlit snow — Δu′v′ 0.0114, direction 226°, median code value 234.
A fort compound of churned mud and a timber palisade under a flat pale sky.
First Cow · shot 92 — Δu′v′ 0.0127, direction 187°, median code value 127.
Not the same material. The same job in the picture, and — to the limit of what a reproduction can resolve — the same colour.
Remington's snow and First Cow's overcast sky on the u′v′ plane. Three of the four pairings fall inside the reproduction floor, drawn around D65 for scale.
Shot 92 vs sunlit snow
Δu′v′ 0.0082indistinguishable at this resolution
Shot 92 vs moonlit snow
Δu′v′ 0.0053indistinguishable at this resolution
Snow in the plate set
38%of nocturne plates carry a large pale field
Snow in the film
none0 of 466 photographed frames
Rank Corpus Images with the material Δu′v′ from the nocturne median Direction apart
1 The Assassination of Jesse James by the Coward Robert Ford 39 0.0011 3.1°
2 No Country for Old Men 22 0.0017 5.2°
3 Sicario 24 0.0019 3.6°
4 The Toxic Avenger 9 0.0026 6.7°
5 Gangubai Kathiawadi 47 0.0029 8.8°
6 A Short Film About Killing 9 0.0036 9.4°
15 First Cow 104 0.0077 24.5°

Highlighted row is First Cow. Rank 1 is the corpus whose median for this material sits closest to the Remington nocturnes; a corpus inside the reproduction floor is not distinguishable from them at all.

Question 5 of 9

Is the firelight the same firelight?

Indistinguishable

This is the one place where the answer is yes, and it is the strongest agreement anywhere in the report.

The warm-light-core rule — the picture's own brightest, strongly warm pixels — was applied unchanged to both corpora, so the flame in a painting and the flame in a frame are selected by the same definition rather than by hand. Remington's campfire core measures Δu′v′ 0.0472 from D65 at a direction of 47 degrees; his second campfire 0.0583 at 44 degrees; First Cow's candle 0.0454 at 38 degrees. The separation between the film's flame and the nearer plate is Δu′v′ 0.0074 with 9 degrees of direction between them — inside the 0.01179 floor. Against the second plate it is 0.0140, marginally outside it.

Corpus-wide the same result holds and is better supported: 10 plates and 168 frames carry a qualifying core, at median Δu′v′ 0.0512 against 0.0449, in directions 45° against 38°. Both differences are inside the floor.

The conclusion needs care, because it cuts both ways. It is a real agreement: a painted campfire and a photographed candle put their hottest colour in the same place, which is not guaranteed — a grade that warmed its flames, or a painter who pushed them red, would show here immediately, and neither did. But it is also the least distinctive agreement available. Running the same measurement on every corpus in this repository puts First Cow 6th of 38 for closeness to Remington's flame colour, with 8 corpora inside the reproduction floor. Another Round, O Brother, Where Art Thou? and Portrait of a Lady on Fire are all closer. Fire is a black-body radiator, and everyone who photographs or paints one honestly lands in the same small region of the plane.

A standing figure in a pale blanket beside a small campfire under a rock face at night.
Remington · campfire core — Δu′v′ 0.0472, direction 47°.
A single candle burning in an iron holder against dark vertical boards.
First Cow · shot 422 — Δu′v′ 0.0454, direction 38°.
Both regions were chosen by the same photometric rule and neither by hand. They differ by less than two printings of one painting differ from each other.
Three flame cores. The reproduction floor drawn around D65 is roughly the size of the whole cluster.
Candle vs R47
Δu′v′ 0.00749° apart · indistinguishable at this resolution
Candle vs R62
Δu′v′ 0.01406° apart · resolved difference
Plate corpus median
Δu′v′ 0.0512direction 45°
Film corpus median
Δu′v′ 0.0449direction 38°
Rank Corpus Images with the material Δu′v′ from the nocturne median Direction apart
1 Another Round 13 0.0017 1.8°
2 O Brother, Where Art Thou? 14 0.0033 1.7°
3 Portrait of a Lady on Fire 41 0.0052 1.4°
4 Skyfall 13 0.0071 4.8°
5 Drive 23 0.0073 1.4°
6 First Cow 168 0.0084 6.7°

Highlighted row is First Cow. Rank 1 is the corpus whose median for this material sits closest to the Remington nocturnes; a corpus inside the reproduction floor is not distinguishable from them at all.

Question 6 of 9

Is what the fire lights the same colour?

Same direction, film stronger

The flame is a small object; the light it throws is the picture. Sampling what each fire falls on separates the two questions, and they get different answers.

The direction survives. Remington's firelit ground measures a direction of 35 degrees and First Cow's candlelit boards 28 degrees — 7 degrees apart, comfortably inside the floor. Both put the warmth of a fire's falloff in the same orange.

The amount does not. Remington's firelit ground sits Δu′v′ 0.0535 from D65; the film's lit boards sit at 0.1404, and the separation between them is 0.0875 — seven times the reproduction floor and the second largest gap in this report. In the film, the light thrown by a candle is more strongly coloured than the flame itself: 0.1404 for the boards against 0.0454 for the core. In the painting the relationship runs the other way, 0.0535 for the ground against 0.0472 for the flame.

Both put more colour into the falloff than into the source, and that in itself is a shared instinct. The size of the effect is what separates them. In Remington's campfire the ground is 1.1 times further from grey than the flame — 0.0535 against 0.0472, a difference smaller than the reproduction floor. In First Cow the boards are 3.1 times further from grey than the candle — 0.1404 against 0.0454. Remington lets flame and firelit ground be nearly the same colour; the film keeps the flame core almost white, and its own five-cluster palette puts that core at a pale blue-white, then spends all the warmth on the wood. In a picture where nothing else is warm at all, that is where the warmth has to live.

Two men crouched at a cooking fire in a dark camp, one face lit across the flames.
Remington · firelit ground — the ground before the fire, Δu′v′ 0.0251, direction 80°.
A single candle burning in an iron holder against dark vertical boards.
First Cow · shot 422 — the lit boards, Δu′v′ 0.1404, direction 28°.
The same fire, sampled where it lands rather than where it burns. The film's falloff is three times further from grey than its own flame core.
Flame and falloff for one painting and one frame. The two flames sit almost on top of each other; the two falloffs are far apart along the same direction from D65.
Boards vs R47 ground
Δu′v′ 0.08757° apart · resolved
Boards vs R84 ground
Δu′v′ 0.126652° apart · resolved
Film flame vs its falloff
0.0454 → 0.1404the light is more coloured than the source
Plate flame vs its falloff
0.0472 → 0.0535source and light nearly equal

Question 7 of 9

Is firelit skin the same colour?

Same direction, film stronger

A face across a fire in Remington measures Δu′v′ 0.0676 from D65 at a direction of 38 degrees. A face under lamplight in First Cow measures 0.1013 at 24 degrees. The separation is Δu′v′ 0.0395 with 14 degrees between the directions — a resolved difference in magnitude, and a direction difference of about half the floor, so the hue is shared and the intensity is not. The film's lit skin is half as far again from grey as the painting's, and leans further toward red.

The corpus-level version of this question could not be answered with the tools available. This repository's candidate-skin heuristic is designed for photographed faces; applied to the plates it selects 32% of the average painting, because dry grass, horsehide, deerskin and lamplit canvas all pass the same gate. On the film it selects 3%. The heuristic is not wrong so much as inapplicable, and the numbers it returns for the plates describe warm paint rather than skin. That is why this question is answered from two hand-placed, visually confirmed patches and not from the corpus.

The result is consistent with the falloff finding above and probably the same finding. Both media light a face with fire; the film puts more chroma into what the fire reaches.

A bearded face lit from below by a cooking fire in a dark camp.
Remington · face across the fire — Δu′v′ 0.0676, direction 38°, median code value 89.
A man's face lying on its side, lit warmly by a lamp out of frame.
First Cow · shot 423 — Δu′v′ 0.1013, direction 24°, median code value 11.
Two faces lit by fire. The film's patch has a mean code value of 11 out of 255, which is enough to place a direction and not enough to be confident about a magnitude.
Separation
Δu′v′ 0.039514° apart · resolved
Plate
Δu′v′ 0.0676direction 38°, ample levels
Film
Δu′v′ 0.1013direction 24°, marginal levels
Skin heuristic on plates
32%of the average plate — it is finding warm paint, not skin

Question 8 of 9

Is the water the same water?

Different

Both bodies of work spend real time on water at low light: Remington's canoe nocturnes on still lakes, First Cow's opening river and the stream the men cross. The samples do not agree, and they do not agree in an interesting way.

Remington's lake below the canoe measures Δu′v′ 0.0333 at a direction of 279 degrees — a definite blue-violet, the same quadrant as his night skies, which is what a still lake reflecting a night sky should be. First Cow's river beside the paddle measures 0.0662 at 211 degrees, a strong cyan-blue; its broken river surface measures 0.0060 at 103 degrees, which is very nearly neutral. The separations from the plate are Δu′v′ 0.0621 and 0.0393, both far outside the floor.

The two film samples are 0.06 apart from each other, which is more than either is from most other things in this report. That is not a contradiction: a smooth deep river reflecting a teal sky and a broken riffle scattering white light are genuinely different materials, and the film treats them as such. Remington's water is more consistent because his water is nearly always the same thing — a flat reflecting surface at night.

The direction difference is the one worth noting. Remington's water goes violet; the film's goes cyan. That is the same split the sky question found, and for the same reason: the two put their ambient light on opposite sides of neutral.

Two figures and a dog in a birchbark canoe on a still lake at dusk, with a dark forest shore.
Remington · lake below the canoe — Δu′v′ 0.0333, direction 279°.
A paddle blade cutting a deep teal river surface seen from above.
First Cow · shot 414 — Δu′v′ 0.0662, direction 211°.
A still lake at dusk and a moving river in daylight. The separation is more than five times the reproduction floor.
The film's two water samples are further from each other than either is from the painting's. Water is not one material.
Shot 414 vs R36
Δu′v′ 0.062168° apart · resolved
Shot 62 vs R36
Δu′v′ 0.0393176° apart · resolved
Plate direction
279°blue-violet, with his night sky
Film directions
211° / 103°cyan-blue, and near-neutral

Question 9 of 9

Is the ground the same ground?

Warm against cool

Remington's dry foreground grass measures Δu′v′ 0.0566 from D65 at a direction of 44 degrees: a definite warm ochre, sitting in the same quadrant as his firelight. First Cow's ground measures 0.0193 at 86 degrees in the leaf litter of the prologue, and 0.0183 at 175 degrees in the fort mud — barely coloured, and in the second case leaning cyan. The separations are Δu′v′ 0.0443 and 0.0701, four and six times the reproduction floor.

This is the clearest single disagreement in the report and it is about ambient light rather than about ground. Remington's plains at night are lit by something he paints as warm, and his ground returns that warmth. First Cow's forest floor and fort mud are lit by overcast Oregon sky, and the grade lets them keep its coolness. The same split appears in the sky, in the water and here; three materials, one cause.

It also explains most of the whole-picture result. The largest areas in a Remington nocturne — ground, grass, snow, sky — carry his warm bias, and the largest areas in First Cow carry the film's cool one. That is what moves the two hue spectra 34 degrees apart while their fires sit on top of each other.

A standing figure and a white horse over a body on tan grassland at night.
Remington · dry grass — Δu′v′ 0.0566, direction 44°.
Bones and skulls half buried in dark mud and leaf litter.
First Cow · shot 15 — Δu′v′ 0.0193, direction 86°.
Both are unlit ground under ambient light. One returns a warm ochre and the other returns almost nothing.
The plate's ground sits beside the plate's fire on the plane; the film's ground sits beside the white point.
Shot 15 vs R56
Δu′v′ 0.044342° apart · resolved
Shot 92 vs R56
Δu′v′ 0.0701132° apart · resolved
Plate ground
Δu′v′ 0.0566direction 44°, warm ochre
Film ground
0.0193 / 0.0183directions 86° and 175°

Verdict, and what would change it

On the evidence available, First Cow's colour was not modelled on Remington's nocturnes in any sense a measurement can detect. Its hue spectrum is 34.5 degrees from theirs, rank 35 of 39 corpora, statistically level with Remington's own daylight paintings and further away than 34 other films — including The Assassination of Jesse James by the Coward Robert Ford, the one film here that shares his subject.

Material by material the picture is a shared warm register for fire, a shared bright field where the film's overcast sky stands in for his snow, a shared green family in the woods, and a systematic disagreement about everything the sky lights. Both of the agreements are shared with control films that have no relation to Remington at all, and the film ranks behind several of them on each. What the two have in common is a way of composing with darkness. What they do not have in common is a palette.

Away from colour the answer changes shape without changing direction. Seventeen further axes were measured on every image — tone architecture, how concentrated the light and the colour are, where the light sits in the frame, surface texture — and 9 of them separate the film from the nocturnes by more than two printings of one painting differ. Combined over the eleven robust axes the film is 23rd of 39 at 6.02 reference spreads, against a floor of 3.98 inside which seven corpora sit, including Remington's own daylight and twilight work. On colour the film ranked 35th; on structure it ranks 23rd. More Remington-like in how it is built than in what colour it is, and distinctive on neither.

Three things would change this conclusion, and none of them is available here. A 10-bit or better master would let the night-sky question be asked properly instead of refused. A set of plates with recorded colorimetry — or, better, measurements of the paintings themselves — would shrink a reproduction floor that is currently large enough to hide some of the differences this report reports. And a statement from the production about what was actually referenced would move the question out of measurement altogether, which is where questions about intention belong.

Until then the defensible claim is narrow and, I think, still worth having: the film and the paintings share an architecture and not a colour, and where they do share a colour, it is the colour of fire, which they share with everyone.

  • Whole-picture spectrum: not similar, and less similar than 34 of 38 control corpora.
  • Night sky: unanswerable from this encode.
  • Daylight sky, ground and water: resolved differences, all in the same direction — Remington warm, the film cool.
  • Unlit forest green: same family, roughly 70% further from grey and rotated toward cyan; 23rd of 38 corpora.
  • Snow: the film has none; its pale field matches his snow inside the noise floor, as 21 of 39 corpora do.
  • Firelight core: indistinguishable, 6th of 38 corpora, with 8 inside the floor.
  • Non-colour structure: 23rd of 39 combined, resolvably different but mid-table.
  • Vertical gradient is the clearest single difference of any axis measured: his pictures are brighter at the bottom, the film's at the top.
  • Warm–bright coupling, illuminant bimodality and all three texture axes: unmeasurable on reproductions, reported as such rather than answered.

Film measurements come from output_cow/shots.parquet and from the 466 photographed midpoint frames the cow_slide_lab study verified. Plate measurements come from 84 supplied reproductions put through colour_report.features with the film's own thresholds. Control measurements come from 120 pseudo-randomly sampled frames from each of 36 other films on the stills volume, at seed 1729.

The seventeen non-colour axes come from cow_remington_report/tools/axes.py, measured on the same three corpora at the same 512-pixel analysis scale, except the three texture axes which use a native-sampling 512-pixel centre crop because a resize destroys what they measure. Each axis's reproduction floor is the largest disagreement between two printings of one painting on that axis.

Every figure in the prose is declared in report.json and re-checked against the measurement files at build time; a number that drifts fails the build rather than surviving in the copy. The tools are in cow_remington_report/tools, and the reviewed mask and patch overlays are reproducible from them.