You know what sticks in my craw? "Watts per gallon," that's what!
For the purposes of growing plants, what matters really are two things: intensity of the light reaching the plants and the proportion of wavelengths which fall into the useful range for photosynthesis.
Let's look at intensity. I propose that we standardize on something like the intensity of light at the bottom of a 21" high, 55 gallon tank with 55 watts lighting with even dispersal throughout. We give it a name like wpg-unit and we deal with tank lighting in terms of intensity as measured in wpg-units. We could use lumens, lux, irradiance, and other photometric terms instead but it is so confusing that as a community, the aquarium hobby has rejected technical light measurement. The idea here is to have a unit which we are all familiar with, watts per gallon, more clearly defined and then have a simple look-up table to multiply by to arrive at the "real" intensity of lighting in the tank.
Now, I've got a tank that's 10 gallons, with 10 watts of fluorescent lighting at 15" height above the floor of the tank. According to the inverse square law, which is the rule used to calculate the intensity of light from a given source at a given distance which states that when the distance from the source doubles, the strength of light from it decreases to 1/4 the intensity of light at the original distance. So if the distance quintuples (5 x) the intensity will diminish to 1/25th the strength. The square of 5 is 5x5 or 25. The inverse square is 1/25. In the case of my hypothetical 15" tall tank, with the 1 wpg unit light (remember, that's a light which delivers the same intensity to the floor of the tank as a 21" tall 55 gallon with 55 watts lighting [or actually any tank with gallons equal the wattage of lighting and 21" tall]), the lighting is actually 1.96wpg units.
So:
The intensity of 1 watt light per gallon of tank capacity at the bottom, from 21" height = 1wpg-unit.
To find the intensity of your tank floor's light, adjust as follows, for height, assuming a light of the same strength as above
8" height, multiply a standard 1wpg-unit by 6.89
10 1/2" height, multiply a standard 1wpg-unit by 4
12" height, multiply by 3.09
14" height, 2.25
16" height, 1.72
18", 1.36
20", 1.1
22", 0.91
24", 0.76
26", 0.65
28", 0.56
30", 0.49
Of course, as plants grow closer to the surface, the intensity of light their upper leaves receive becomes stronger by the same rules, such that a plant 13" tall in a 21" tank, 55 gallons capacity with 55 watts lighting will receive 6.89 times more light at top than at the bottom.
There are issues with how we deal with colors and the spectrums of our lights.
I've noticed a trend toward higher and higher color temperatures and have heard people saying that a 10000K light is "whiter" than a 5500K, and that higher color temperatures are whiter in general than lower color temperatures. Color temperature is actually the closest match of a real light emitting object's spectrum to an ideal spectrum emitted by a perfectly black (at room temperature) object at a specific temperature. In the real world, spectrums are not the same, perfectly smooth distribution of wavelengths and intensities. In fact, a real spectrum may be totally missing entire ranges of wavelength (wavelength = color when of visible light) but match the same ideal spectrum as the sun at noon, in which case things will appear to be different colors under that source than they do in real sunlight. We are adapted to seeing things in the varying spectrum of sunlight as it reaches earth (~4900K to 6700K) so something that's white will reflect evenly back light from sources with said spectrums. At 10000K, the ideal spectrum has much more intense light in the blue frequencies so as source emitting light that most closely matches a 10000K color temperature will have a spectrum with much less intensity in the red end and towards the blue end, although it may be in the form of gobs of greenish light, some blue, and very little red at all or any other mix so long as it best matches a 10000K ideal spectrum. So, a white object, which reflects accurately the wavelengths which strike it at the same intensity, will look quite blue under 10000K light when contrasted with the same white under 5500K light will look quite blue. Nothing seen under 10000K lights will show the same colors as under lights in the 5000K - 6700K. Our brains compensate a great deal for varying spectrums so a white object will eventually appear white even when the soul source of light is 10000K color temperature but the colors we see will render differently than we are accustomed to.
For the purposes of growing plants, what matters really are two things: intensity of the light reaching the plants and the proportion of wavelengths which fall into the useful range for photosynthesis.
Let's look at intensity. I propose that we standardize on something like the intensity of light at the bottom of a 21" high, 55 gallon tank with 55 watts lighting with even dispersal throughout. We give it a name like wpg-unit and we deal with tank lighting in terms of intensity as measured in wpg-units. We could use lumens, lux, irradiance, and other photometric terms instead but it is so confusing that as a community, the aquarium hobby has rejected technical light measurement. The idea here is to have a unit which we are all familiar with, watts per gallon, more clearly defined and then have a simple look-up table to multiply by to arrive at the "real" intensity of lighting in the tank.
Now, I've got a tank that's 10 gallons, with 10 watts of fluorescent lighting at 15" height above the floor of the tank. According to the inverse square law, which is the rule used to calculate the intensity of light from a given source at a given distance which states that when the distance from the source doubles, the strength of light from it decreases to 1/4 the intensity of light at the original distance. So if the distance quintuples (5 x) the intensity will diminish to 1/25th the strength. The square of 5 is 5x5 or 25. The inverse square is 1/25. In the case of my hypothetical 15" tall tank, with the 1 wpg unit light (remember, that's a light which delivers the same intensity to the floor of the tank as a 21" tall 55 gallon with 55 watts lighting [or actually any tank with gallons equal the wattage of lighting and 21" tall]), the lighting is actually 1.96wpg units.
So:
The intensity of 1 watt light per gallon of tank capacity at the bottom, from 21" height = 1wpg-unit.
To find the intensity of your tank floor's light, adjust as follows, for height, assuming a light of the same strength as above
8" height, multiply a standard 1wpg-unit by 6.89
10 1/2" height, multiply a standard 1wpg-unit by 4
12" height, multiply by 3.09
14" height, 2.25
16" height, 1.72
18", 1.36
20", 1.1
22", 0.91
24", 0.76
26", 0.65
28", 0.56
30", 0.49
Of course, as plants grow closer to the surface, the intensity of light their upper leaves receive becomes stronger by the same rules, such that a plant 13" tall in a 21" tank, 55 gallons capacity with 55 watts lighting will receive 6.89 times more light at top than at the bottom.
There are issues with how we deal with colors and the spectrums of our lights.
I've noticed a trend toward higher and higher color temperatures and have heard people saying that a 10000K light is "whiter" than a 5500K, and that higher color temperatures are whiter in general than lower color temperatures. Color temperature is actually the closest match of a real light emitting object's spectrum to an ideal spectrum emitted by a perfectly black (at room temperature) object at a specific temperature. In the real world, spectrums are not the same, perfectly smooth distribution of wavelengths and intensities. In fact, a real spectrum may be totally missing entire ranges of wavelength (wavelength = color when of visible light) but match the same ideal spectrum as the sun at noon, in which case things will appear to be different colors under that source than they do in real sunlight. We are adapted to seeing things in the varying spectrum of sunlight as it reaches earth (~4900K to 6700K) so something that's white will reflect evenly back light from sources with said spectrums. At 10000K, the ideal spectrum has much more intense light in the blue frequencies so as source emitting light that most closely matches a 10000K color temperature will have a spectrum with much less intensity in the red end and towards the blue end, although it may be in the form of gobs of greenish light, some blue, and very little red at all or any other mix so long as it best matches a 10000K ideal spectrum. So, a white object, which reflects accurately the wavelengths which strike it at the same intensity, will look quite blue under 10000K light when contrasted with the same white under 5500K light will look quite blue. Nothing seen under 10000K lights will show the same colors as under lights in the 5000K - 6700K. Our brains compensate a great deal for varying spectrums so a white object will eventually appear white even when the soul source of light is 10000K color temperature but the colors we see will render differently than we are accustomed to.