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Converting to LED – S/P Ratios

Converting to LED – S/P Ratios

A lot of time we are asked what is the equivalent LED product to convert from Metal Halide, High Pressure Sodium or Mercury Vapor. And a lot of time, we have a product in mind that works based on past experience. But how did we come up with that product, and how did we make the original decision on what was the proper replacement? There’s a lot of science that goes into light, color, quality, and each light had it’s own characteristics.

For example, it takes less LED to replace High Pressure Sodium than it takes to replace MH. And we are talking a lot more than just lumens. We are talking about color temperature, quality of light and something called photopic / scotopic lumens.

In the world of lighting, we measure foot candles with a light meter, this is called a photopic measurement. The light meter picks up everything, including spectrum’s that are invisible to us. Now, we humans see things to, and this is called scotopic lumens. Our rods and cones read and interpret light. And it does so differently than what a light meter does. So it is not uncommon when we demo a LED Light against a HPS light or Metal Halide, we first ask “Which is brighter” before we show the light meter reading. It leaves a few people scratching their heads.

Well, that’s the science of of it all, and fortunately there is some handy tables called SP ratios that allow us to take the lumens of a particular light (photopic lumens) and multiply it by the S/P ratio to get the scotopic lumens equivalent.


How to use the SP Ratio Calculation

The S/P ratio for High Pressure Sodium is 0.40. The S/P ratio for LED at 5000K is 1.8. So if you take 40,000 lumens of HPS and multiply it 0.4, the effective scotopic lumens is 16,000. To get the same amount of lumens from LED, take the 16,000 and divide it by the S/P ratio and you get 8888 lumens. So the 8888 lumens of LED is the photopic measurement, the 16,000 LED lumens is the scotopic lumens measurement. So in an nutshell, you need 8,888 lumens of LED to replace 40,000 lumens of HPS from a scotopic point of view.

These results apply to all light fixtures, whether its an outdoor fixture like a shoebox, wall pack or flood light. It also applies to indoor light fixtures like high bays, warehouse lights and linkable led shop lights.


SP Ratio Light Source Chart

Light SourceS/P Ratio
1700K Low Pressure Sodium (LPS)0.25
2100K High Pressure Sodium (HPS)0.40
2700K Incandescent1.36
3000K Fluorescent (830)1.29
3000K LED1.21
3000K Quartz Halogen1.50
3500K Fluorescent (735)1.24
3500K Fluorescent (835)1.41
3500K LED1.41
4100K Fluorescent (741)1.54
4100K Fluorescent (841)1.65
4100K LED1.65
4300K Metal Halide1.49
5000K Fluorescent (850)1.96
5000K LED1.80
6000K LED2.00
6500K Fluorescent (865)2.20
6800K Mercury Vapor0.80
Pupil Lumens and their impact on the choice of lighting (Revised 2019)

Pupil Lumens and their impact on the choice of lighting (Revised 2019)

A warehouse facility recently upgraded its lighting. Before the lighting improvement project, it was illuminated by low CRI HPS lamps which were replaced with higher CRI lights. The luminous intensity before the retrofit was 35 foot candles which fell to only 25 foot candles after the retrofit project! A reduction of 28% in light intensity. Yet most users of the facility rated the new lights as being significantly brighter than the older lamps.

This defies common sense and begs that a few questions should be answered.
  1. Why is it called a lighting upgrade project when the light intensity is actually falling?
  2. Why would a company pay to reduce the light intensity in its facilities where security and safety are very important?
  3. How can a setting that has lower light intensity appear brighter?

The answers stem from the term ‘Pupil Lumens’.

Before delving further it will help to clarify a few concepts

  1. Luminous flux / Light output – it is the amount of light produced by a lamp. It does not take into consideration the direction in which the light is sent. Most lighting devices produce light in a 360 degree sphere. This light must then be redirected by a set of optics to the area where it is needed. Light output is measured in lumens.
  2. Illuminance / Light level – It is the amount of light incident on a surface. It is measured in foot candles (FC) or lumens / square foot.
  3. Luminance / Brightness – It is the amount of light reflected by a surface. It is measured in foot lamberts.

The diagram below is meant to demonstrate each one of these terms.

Pupil Lumens


The human eye sees Luminance. It is NOT concerned with Luminous flux or illuminance. Thus, a dark colored surface absorbs most of the light and has a low luminance while a lighter colored surface reflects more of the light rays incident on it and has better luminance.


How can LED lights help improve luminance?

All the light output of an LED light is directed downward resulting in better Luminous Flux. This is only half the story. Compared to High Pressure Sodium (HPS) and Low Pressure Sodium (LPS), LED lights have a far higher Color Rendering Index (CRI). A higher CRI is achieved because light produced by LED bulbs is not monochromatic but has a richer palette of wavelengths of light.

The incandescent bulb has a CRI of 100. However CRI values between 75 – 100 are considered to be excellent for general purpose lighting, 65 – 75 is considered good while anything less than 55 is considered to be poor. When illuminated by a high CRI source surface colors of an object appear brighter thus resulting in a perception of higher Luminance.


From physics to biology – understanding the eyes’ response to Light

Pupil Lumens


Cones and Photopic vision– The central part of the eye is the fovea that is rich in a type of cells called ‘cones’. Cones are responsible for color vision and are involved in vision during bright light. This is called Photopic vision.

Rods and Scotopic vision-Rods are sensitive to dim light and are active during low light intensity conditions. Rods cannot perceive color. Vision due to rods is ‘black and white.’

Light measuring instruments measure Light intensity in Lumens – considering only the response of the cones. Thus, the Lumens measured by a light meter are also called Photopic Lumens.

In conditions of low light intensity entire vision is due to rod cells (scotopic vision). In medium light intensity (conditions as are often found under street lights and in homes) vision is called Mesopic vision and is due to both rods and cones. Using ‘Photopic Lumens’  to describe light intensity in such an area grossly underestimates the light intensity as it totally ignores the contribution of rod cells to vision.

Scientists at the Lawrence Berkley Laboratory (LBL) developed the concept of scotopic lumens. They developed a factor called P/S ratio. This ratio helps convert traditional Lumens into actual lumens perceived by the eye under mesopic light conditions and gives a more accurate estimate of the amount of light.


Pupil Lumens = Photopic Lumens * [S/P] 0.78


Here are some types of lights with their traditional and pupil lumens


Source of LightWattLumensLumens/Watt
(Photopic Lumens)
S/P Ratio (correction factor)Pupil LumensPupil Lumens/Watt
Low Pressure Sodium250325001300.2925037
High Pressure Sodium365370001010.622553070
Metal Halide45536000791.4948960108
T8 Fluorescent (3000 K)362800781.13308085
LED Light1515001001.9


Factoring in the S/P ratios reveals why Low Pressure Sodium lamps that are apparently the most efficient with a photopic lumen output of 130 Lumens/ Watt appear so dull. They just don’t have the spectrum of light needed to illuminate objects properly and elicit the optimum response from the human retina in mesopic lighting conditions.

This improvement in lumen perception is the reason why people and cities are opting for full spectrum lights. The current codes do not reflect scotopic lumens. Therefore, if you are planning to opt for LED lights as replacements for existing lights of a generation earlier it is prudent to avoid going by the published lumen output alone. The photopic lumen output of a light may only partially reflect the reality of the situation.

Comparing absolute Photopic Lumens was alright as long as the same type of bulb was being compared. With differences in lighting technology there is a marked shift in wavelength composition and CRI. It is always better to try out energy efficient LED lights and experience their light quality first hand.

There is another factor underlying the improved perception of light from high CRI LED lamps. Below is a diagram showing the relative luminous efficiency of different wavelengths of light. Thus, cones have maximum efficiency at about 550 nm (green light) while the efficiency of rods is at its peak at around 510 nm (blue-green light). HPS and LPS lamps that are poor in the green yellow and blue yellow wavelengths naturally have a lower impact on the eye’s photo receptors. While the current method of measuring Lumens takes care of the 550 nm peak it does little to tackle issues with the lower band of 510 nm.

Pupil Lumens

The Scotopic response is dependent on the blue light content of a light. Thus 6500 K fluorescent lights have better S/ P ratios than 3500 K tube lights. A look at the spectrum of light from different light sources can help clarify a lot of things.

For this part of the analysis we decided to use cloud sourcing to improve the quality and reliability of the data. The images used to explain the information are not ours. 

All images are from open source resources (shared under the creative commons/ GNU free documentation license)  available at and

You always suspected that light from the HPS lamp was dull – you were right. While the absolute lumens/watt produced by an HPS lamp is high it is the wavelength of the light that it produces that makes it appear dull.

Here is the spectrum of the HPS lamp.

Puupil Lumens
(Photo credit –

We have already seen that the eye is most sensitive to wavelengths of 510 nm and 550 nm. These very wavelengths are scarce in the spectrum of an HPS lamp. The most prominent wavelengths in the spectrum of an HPS lamp are between 575 and 650 nm. The sensitivity of the eye to these wavelengths is  20 – 80% of the peak response. This is the reason why HPS lamps do not elicit the optimum response from the human eye and far fewer lumens from a good LED source can provide the same perception of brightness.

Another way of understanding the limitations of the HPS lamp is to look at its light color spectrum. Here is a visual representation of the wavelengths of an HPS lamp. This spectrum was obtained by using a homemade spectroscope.

Spectrum High Pressure Sodium
(Photo credit – Chris Heilman

The large gaps in the spectrum are obvious. The heaviest density is in the red yellow region that is not every effective in stimulating the eyes. Moreover, because the spectrum is patchy HPS lamps are not good at color rendering.


LED Specturm
(Photo credit – Jason Morrison


This image was also obtained by using a spectroscope. The spectroscope had a design different from the one used to obtain the spectrum of the HPS lamp yet the results are unambiguous.  The spectrum is complete with no gaps. The wavelengths of 510 and 550 nm that are the most effective in stimulating the eyes are well represented in the spectrum. The result is better color rendering and more effective stimulation of the eye.

More research is continuing in this direction and it is hoped that future lighting standards will reflect the biological response to light in a more meaningful manner than they currently do.


To Summarize

  • When it comes to vision, it is Luminance (the amount of light reflected by a surface) that matters.
  • Lumens is a unit of Illuminance that is used as a proxy for Luminance as usually the two are directly correlated.
  • The incorporation of S/P ratios in Lumen / watt calculations completely changes the efficiency rating of lamps. LEDs that already have a high Lumen / watt ratio fare even better when S/P ratios are taken into consideration while LPS and HPS lamps that are generally believed to have high Lumen /watt output fare poorly.
  • Warehouses, retail stores, street lights, and commercial spaces can easily benefit from the higher S/P ratio of LED products.

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