How scene log exposure maps to film density, and how that density
translates into electrons in a 14-bit sensor well — showing the
fraction of the well that film actually uses, and where the linear
zone of the characteristic curve lands within that fraction.
~8 stops
Dynamic range of a color negative (Dmin 0.05 → Dmax 2.26).
A 14-bit sensor can capture 12+ stops — leaving ~4 stops of
well capacity unused.
1:316
Transmittance ratio across the negative. At Dmax ≈ 2.26,
only 0.5% of scanning light passes through — those photons
must compete with sensor read noise.
<40%
Fraction of the electron well that the linear zone of a
color negative occupies. Exposing to use the full well
maximises SNR before inversion.
wasted headroom — above Dmin
Even clear film base blocks some light. Color negative has a
base-plus-fog density of roughly 0.05, plus the orange mask
adds further absorption. This means the scanning illuminant
can never fill the sensor well to 16 383 — the top red band
on the right chart is permanently unreachable. The practical
consequence: if you expose the scanner for the sensor's midpoint,
you are throwing away dynamic range. Optimal scanning exposure
pushes Dmin as close to the sensor ceiling as possible without
clipping, maximising the electron count in the usable band.
wasted floor — below Dmax
At maximum density (deep shadows in the scene, which become
the thinnest part of the negative after development),
transmittance T = 10−Dmax ≈ 0.5%. The sensor receives
almost no photons from these areas. Electron counts near
zero are indistinguishable from read noise. This is why
shadow detail in a scanned negative is noisy even with a good
scanner — the signal is genuinely tiny, not a software failing.
Scanning at a higher ISO equivalent or using a brighter
illuminant raises the absolute photon count but cannot change
the transmittance ratio.
the linear band — where tonal relationships are preserved
The green band on the right chart shows which electron counts
correspond to the linear portion of the H&D curve. In this
region, equal steps in log exposure produce equal steps in
density — and therefore a predictable, invertible relationship
between scene luminance and sensor signal. Shadow and
highlight detail that falls outside this band (into toe or
shoulder) is compressed and cannot be fully recovered by
inversion alone. Notice that for color negative the linear
band occupies only a fraction of the already-narrow usable
well range — the film's toe and shoulder consume significant
stops at both ends.
slide / reversal — more of the well, steeper gamma
Switch to slide/reversal film. Dmax rises to ~3.0, which means
the usable well range widens — more of the 16 383 electrons are
put to work. But the curve is inverted (more exposure = less
density) and the gamma is steeper (~1.8 vs ~0.65 for negative).
Equal steps in log H produce larger steps in density, so
the toe and shoulder compress more aggressively at both ends.
A one-stop scanning error on a reversal film destroys far more
tonal information than the same error on a negative — which is
why slide scanning has less exposure latitude.
practical implication — expose to the right, then invert
Because the electron curve is exponential (T = 10−D),
the relationship between density and electron count is not
linear. Equal density steps in the linear zone of the H&D curve
produce unequal electron steps — larger at low density
(highlights in the negative, shadows in the scene), smaller at
high density (shadows in the negative, highlights in the scene).
Scanning software should expose so that Dmin — the film
base — lands just below the sensor ceiling. This packs the
maximum number of electrons into the usable band before any
inversion or colour correction is applied, giving the highest
possible signal-to-noise ratio in the final image.