Item 3.2 - Additional Material posted 1-16-191
Ana Alarcon
From:Carol Legg
Sent:Tuesday, January 15, 2019 6:02 PM
To:Kay Vinson; Ana Alarcon; Jasmine Pernicano
Cc:Bob Manis
Subject:FW: Item 3.2, 1/15/19 Poway City Council Meeting
Attachments:Lighting Solutions _ Lighting Solutions.pdf; Low Pressure Sodium Light Bulbs _ Bulbs.com.pdf; Color_temperature.pdf
For tonight’s meeting. It already went to the Councilmembers and to tina.
From: Peter De Hoff <pldehoff@gmail.com>
Sent: Tuesday, January 15, 2019 5:52 PM
To: Steve Vaus <SVaus@poway.org>; John Mullin <JMullin@poway.org>; Dave Grosch <DGrosch@poway.org>; Barry Leonard
<BLeonard@poway.org>; Caylin Frank <CFrank@poway.org>
Cc: Tina White <TWhite@poway.org>
Subject: Re: Item 3.2, 1/15/19 Poway City Council Meeting
To City Council,
This is a slight repeat of the previous email where I have attached .pdf files of the various web links I provided before. This is
only for the case you were, for whatever reason, unable to click on those links in the earlier email. If you were able to click on
them, then there is nothing new here. Sorry for the lateness of this, but it just occurred to me.
Regards,
Peter De Hoff
> On Jan 12, 2019, at 8:57 PM, Peter De Hoff <pldehoff@gmail.com> wrote:
>
> To City Council,
> This is in regards to the upcoming January 15th City Council meeting Item 3.2 regarding upgrading the current LPS
streetlights to LEDs. I have written on this before essentially noting that the lights in the Montego Road test area are most
similar in color temperature as to our current low pressure sodium (LPS) lamps and that I prefer them for various reasons,
mostly related to that choice having the least impact in terms of light pollution and light spillage. The second choice being the
lights in the test area on Garden Road. I came across an article (attached) in the Journal Science, which is the premier peer
reviewed science journal in the United States, that may be of relevance to this issue. This is an “Insights” article and does not
contain much in the way of technical jargon. If you have the time, you might find it enlightening. The take home message is
best summed up in the quote “Of particular concern is the growth in emissions of blue wavelengths…”, but there is a great deal
of relevant information encompassed within the ~3 pages of text.
> Essentially, the blue light that makes up part of the white LED light spectrum has a much higher propensity to scatter,
irrespective of shielding. For the same reason our skies are blue in the day and red in the evening, the shorter the wavelength of
light (ie bluer) the more of it will scatter out of the valleys, and over the surrounding hills. This leads to “sky glow” miles away
from the source, as well as the oversized impact of the bluer light on the surrounding flora and fauna (including humans).
> While there do exist filtered LEDs that remove almost all of the shorter blue wavelengths from the bulb’s light spectrum, as
of yet I do not know the part numbers of the LEDs being used in these tests, so I do not know if they are filtered in such a
manner. Although that question is only relevant for the lights on Garden and Montego Roads as all of the other lights are
definitely unfiltered in this regard.
>
> Of particular technical relevance to the staff is the following:
>
ADDITIONAL MATERIAL
1 of 25 January 15, 2019, Item # 3.2
2
> I noticed near the end of the text agenda item in the Environmental Review Section where it mentions the replacement
lights will have “an equivalent or reduced color temperature.” I think it is important to note that the current Low Pressure
Sodium (LPS) fixtures have a color temperature of 1700K, which was not made clear in the upper section of the text of the
agenda item. As far as I know, in Poway at least, these LPS lights are the only types of lighting used in all of the streetlights,
including those that sit atop of street signal light fixtures. Also, that none of the test LED lights, with the possible exception of
those lights on Montego Road, have a color spectrum at or below 1700K.
> There do exist High Pressure Sodium (HPS) lamps with color temperatures around 2700K and it is possible that LPS and HPS
lights are being conflated in the case of the agenda text. I do apologize for not pointing this out earlier, but I just read the
agenda item tonight. You can see in these two links below the description of LPS lights having a color temperature of 1700K.
>
> Near the bottom of this link – search “LPS”
> https://en.wikipedia.org/wiki/Color_temperature
>
> The link below is for purchasing LPS lights and describes their color temperature (all at 1700K)
> https://www.bulbs.com/Low_Pressure_Sodium‐High_Intensity_Discharge_(HID)‐Light_Bulbs‐Category/results.aspx
>
> As I implied earlier, I do not recall the color temperature of the amber lights on the Montego Road test area, but I suspect
they are close to 1700K. Regardless, I do know there are streetlight products available that essentially replicate the 1700K of the
LPS lights. (see the link below)
>
> https://www.osram.com/ls/news/amber/index.jsp
>
> I will be coming by on Tuesday to make a short oral presentation on this matter, mostly focusing on the choice of color of
the LED fixtures. See you then.
>
> Best Regards,
>
> Peter De Hoff
> <171116_Science_LED_Lighting.pdf>
>
2 of 25 January 15, 2019, Item # 3.2
1/15/2019 Lighting Solutions | Lighting Solutions
https://www.osram.com/ls/news/amber/index.jsp 1/5
Make the most of amber-colored LED light in Urban Lighting
Orange Light:Orange Light:Orange Light:
Safety, Design and EnvironmentalSafety, Design and EnvironmentalSafety, Design and Environmental
ProtectionProtectionProtection
For a long time orange-colored light was used in urban lighting in the form of high/low pressure sodium
vapor lamps.
With the modernization to LED technology and the ban on most conventional ballasts valid since this year,
this light color has almost completely disappeared from the product catalogue of most manufacturers. The
OSRAM company Siteco is now adding orange-colored light to a part of its LED outdoor luminaire portfolio
because this offers significant advantages in certain areas compared to the familiar white light of LED
technology.
That's why it makes sense to use it in the following areas:
1) Illumination of conflict areas:
Lighting Solutions
3 of 25 January 15, 2019, Item # 3.2
1/15/2019 Lighting Solutions | Lighting Solutions
https://www.osram.com/ls/news/amber/index.jsp 2/5
Conflict areas are e.g. crossings, crosswalks or crossing aids for pedestrians.
Ensures safety - as traffic’s attention is brought to the conflict zone? The increased attention decreases the
probability of an accident
2) Design with light:
The selected light color influences the appearance of the illuminated material. Thus the appearance of the
material can be influenced positively or negatively.?Amber colored light is ideally suited for illuminating
buildings with a brick or sandstone facade because the warm light color emphasizes the warm fundamental
tone of the facade. It is less suitable for concrete, glass or limestone facades.
3) Modernization of lighting systems:
Because of the conversion to LED, a different light image is created. In rare cases residents are feeling
disturbed by the new lighting installation. Municipalities that want to have a similar light image can use LED
lamps with amber-colored light as it works a good alternative to the sodium-vapor high/low-pressure lamps.
4) Reduction of light pollution
In clear air, short-wave blue light is diffused much further than long-wave red light. That is why the daytime
sky appears blue.
That means: The higher the blue light content of the light source, the higher is the scatter in all directions >
higher light pollution.
5) Protect the environment:
4 of 25 January 15, 2019, Item # 3.2
1/15/2019 Lighting Solutions | Lighting Solutions
https://www.osram.com/ls/news/amber/index.jsp 3/5
LEDs are free of IR and UV radiation. This makes them very "insect-friendly" and therefore environmentally
friendly. Also the light color plays a role. Insects are less attracted to the yellowish light of a sodium vapor
high/low-pressure lamp than the white light of a high-pressure mercury lamp.?Even when looking at the
LED, the 3000K variant attracts far less insects than the version with 6000K. An even warmer light color of
the LED promises further improvement.
In areas which are particularly vulnerable, such as in natural or national parks or near waterways (cannels
with ship locks), the use can be useful.
We offer these products:
Documents available on request
Streetlight 20:
A complete family
— micro: 2.500 lm*
— mini: 5.000 lm*
— midi: 10.000lm*
— *lumen packages with constant lumen output
2 light distributions
— ST0.5a
— ST1.0a
— PC-L and R on request (for crosswalks)
Light color
— Amber: 1750K
— >50 (57)
SL20 micro
4058352102220
5XB15DAB108B
ST0.5a
Plu
SL20 mini
4058352102282
5XB25HAB308B
ST0.5a
Plu
SL20 midi
4058352104873
5XB35MAB408B
ST0.5a
Plu
Type
EAN
Siteco order code
Light distribution
Co
5 of 25 January 15, 2019, Item # 3.2
1/15/2019 Lighting Solutions | Lighting Solutions
https://www.osram.com/ls/news/amber/index.jsp 4/5
SL20 micro
4058352102183
5XB11DAB108B
ST1.0a
Plu
SL20 mini
4058352102244
5XB21HAB308B
ST1.0a
Plu
SL20 midi
4058352104859
5XB31MAB408B
ST1.0a
Plu
Type
EAN
Siteco order code
Light distribution
Co
Order number: 5XA54000XSA -
Upgradable without tools
All lantern shaped luminaires
with LED Modul 540:
Amber-colored light with accessories Amber-Spreader-
Element
A complete family in Amber
— Suitable for 10 different housing designs
— With various lumen packages
— With CLO2.0
— Three light distributions (ST1.2A, P1.0A, PL1.2S)
Light technical data
— CRI 50
— Color temperature:
4000K becomes 2200K
3000K becomes 1900K
Floodlight 20 (on request):
Suitable for many different applications
— 4 housing sizes
— 7 light distribution – rotationally symmetrical (suitable for facade illumination)6 of 25 January 15, 2019, Item # 3.2
1/15/2019 Lighting Solutions | Lighting Solutions
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— Diverse mounting options
— Also usable as up light
Light technical data
— CRI >50 (57)
— Color temperature: ~1750K
Do you need more information?
For further information like local representatives or product documentation, please contact us.
7 of 25 January 15, 2019, Item # 3.2
1/15/2019 Low Pressure Sodium Light Bulbs | Bulbs.com
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Sort By: Most Popular Page 1 of 1
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Category
Light Bulbs › HID ›
Low Pressure Sodium
Low Pressure Sodium Light Bulbs
ON SALE
D. C. Bayonet, Medium
(BY22D) Base
1800 Lumens
Warm White Bulb Color
1700K Color Temperature
2.1" Diameter
18W Energy Used
8.5" Length
T-17 Shape
More details
Philips 18W T17 Low
Pressure Sodium
Bulb Double
Contact Bayonet
Base
SKU: 234047 |
Ordering Code: SOX-E18 |
UPC: 8711500600097
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D. C. Bayonet, Medium
(BY22D) Base
7800 Lumens
Warm White Bulb Color
1700K Color Temperature
2.1" Diameter
55W Energy Used
Philips 55W T17
Clear Low Pressure
Sodium SOX Bulb
SKU: 321513 |
Ordering Code: SOX55 |
UPC: 8711500179753
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8 of 25 January 15, 2019, Item # 3.2
1/15/2019 Low Pressure Sodium Light Bulbs | Bulbs.com
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16.8" Length
T-17 Shape
More details
5.0
ON SALE
D. C. Bayonet, Medium
(BY22D) Base
4550 Lumens
Warm White Bulb Color
1700K Color Temperature
2.1" Diameter
35W Energy Used
12.2" Length
T-17 Shape
More details
Philips 35W T17
Clear Low Pressure
Sodium SOX Bulb
SKU: 327817 |
Ordering Code: SOX35 |
UPC: 8711500179739
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ON SALE
D. C. Bayonet, Medium
(BY22D) Base
12155 Lumens
Warm White Bulb Color
1700K Color Temperature
2.6" Diameter
90W Energy Used
20.8" Length
T-21 Shape
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Philips 90W T21
Clear Low Pressure
Sodium SOX Bulb
SKU: 321521 |
Ordering Code: SOX90 |
UPC: 8711500600158
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Philips 135W T21
Clear Low Pressure
Sodium SOX Bulb
SKU: 321539 |
Ordering Code: SOX135 |
UPC: 8711500179791
$87.49 $69.99 per bulb
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1 Bulb
9 of 25 January 15, 2019, Item # 3.2
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ON SALE
D. C. Bayonet, Medium
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22600 Lumens
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2.6" Diameter
135W Energy Used
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D. C. Bayonet, Medium
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32000 Lumens
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1700K Color Temperature
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180W Energy Used
44.1" Length
T-21 Shape
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Philips 180W T21
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SKU: 151167 |
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11 of 25 January 15, 2019, Item # 3.2
Color temperature
Not to be confused with warm and cool colors.
The color temperature of a light source is the temperature of an
ideal black-body radiator that radiates light of a color comparable to
that of the light source. Color temperature is a characteristic of
visible light that has important applications in lighting, photography,
videography, publishing, manufacturing, astrophysics, horticulture,
and other fields. In practice, color temperature is meaningful only for
light sources that do in fact correspond somewhat closely to the
radiation of some black body, i.e., light in a range going from red to
orange to yellow to white to blueish white; it does not make sense to
speak of the color temperature of, e.g., a green or a purple light.
Color temperature is conventionally expressed in kelvin, using the
symbol K, a unit of measure for absolute temperature.
Color temperatures over 5000 K are called "cool colors" (bluish),
while lower color temperatures (2700–3000 K) are called "warm
colors" (yellowish). "Warm" in this context is an analogy to radiated
heat flux of traditional incandescent lighting rather than temperature.
The spectral peak of warm-coloured light is closer to infrared, and
most natural warm-coloured light sources emit significant infrared
radiation. The fact that "warm" lighting in this sense actually has a
"cooler" color temperature often leads to confusion.[1]
Categorizing different lighting
The Sun
Applications
Lighting
Aquaculture
Digital photography
Photographic film
Desktop publishing
TV, video, and digital still cameras
Artistic application via control of color temperature
Correlated color temperature
Motivation
Background
Calculation
Robertson's method
Precautions
Approximation
Color rendering index
Spectral power distribution
The CIE 1931 x,y chromaticity space, also showing
the chromaticities of black-body light sources of
various temperatures (Planckian locus), and lines
of constant correlated color temperature.
Contents
12 of 25 January 15, 2019, Item # 3.2
Temperature Source
1700 K Match flame, low pressure sodium lamps (LPS/SOX)
1850 K Candle flame, sunset/sunrise
2400 K Standard incandescent lamps
2550 K Soft white incandescent lamps
2700 K "Soft white" compact fluorescent and LED lamps
3000 K Warm white compact fluorescent and LED lamps
3200 K Studio lamps, photofloods, etc.
3350 K Studio "CP" light
5000 K Horizon daylight
5000 K Tubular fluorescent lamps or cool white / daylight
compact fluorescent lamps (CFL)
5500 – 6000 K Vertical daylight, electronic flash
6200 K Xenon short-arc lamp [2]
6500 K Daylight, overcast
6500 – 9500 K LCD or CRT screen
15,000 – 27,000 K Clear blue poleward sky
These temperatures are merely characteristic; there may be considerable variation
Color temperature in astronomy
See also
References
Further reading
External links
The color temperature of the
electromagnetic radiation
emitted from an ideal black body
is defined as its surface
temperature in kelvins, or
alternatively in mireds (micro-
reciprocal kelvins).[3] This
permits the definition of a
standard by which light sources
are compared.
To the extent that a hot surface
emits thermal radiation but is not
an ideal black-body radiator, the
color temperature of the light is
not the actual temperature of the
surface. An incandescent lamp's
light is thermal radiation, and the
bulb approximates an ideal
black-body radiator, so its color
temperature is essentially the
temperature of the filament.
Thus a relatively low temperature emits a dull red and a high
temperature emits the almost white of the traditional incandescent
light bulb. Metal workers are able to judge the temperature of hot
metals by their color, from dark red to orange-white and then white
(see red heat).
Many other light sources, such as fluorescent lamps, or LEDs (light
emitting diodes) emit light primarily by processes other than thermal
radiation. This means that the emitted radiation does not follow the
form of a black-body spectrum. These sources are assigned what is
known as a correlated color temperature (CCT). CCT is the color
temperature of a black-body radiator which to human color
perception most closely matches the light from the lamp. Because
such an approximation is not required for incandescent light, the
CCT for an incandescent light is simply its unadjusted temperature,
derived from comparison to a black-body radiator.
Categorizing different lighting
The black-body radiance (Bλ) vs. wavelength (λ)
curves for the visible spectrum. The vertical axes of
Planck's law plots building this animation were
proportionally transformed to keep equal areas
between functions and horizontal axis for
wavelengths 380–780 nm.
13 of 25 January 15, 2019, Item # 3.2
The Sun closely approximates a black-body radiator. The effective temperature, defined by the total radiative power per square unit,
is about 5780 K.[4] The color temperature of sunlight above the atmosphere is about 5900 K.[5]
As the Sun crosses the sky, it may appear to be red, orange, yellow or white, depending on its position. The changing color of the Sun
over the course of the day is mainly a result of the scattering of light and is not due to changes in black-body radiation. The blue color
of the sky is caused by Rayleigh scattering of the sunlight by the atmosphere, which tends to scatter blue light more than red light.
Some early morning and evening light (golden hours) has a lower color temperature due to increased low-wavelength light scattering
by the Tyndall effect.
Daylight has a spectrum similar to that of a black body with a correlated color temperature of 6500 K (D65 viewing standard) or
5500 K (daylight-balanced photographic film standard).
Hues of the Planckian locus on a logarithmic scale
For colors based on black-body theory, blue occurs at higher temperatures, whereas red occurs at lower temperatures. This is the
opposite of the cultural associations attributed to colors, in which "red" is "hot", and "blue" is "cold".[6]
For lighting building interiors, it is often important to take into account the color
temperature of illumination. A warmer (i.e., a lower color temperature) light is often
used in public areas to promote relaxation, while a cooler (higher color temperature)
light is used to enhance concentration, for example in schools and offices.[7]
CCT dimming for LED technology is regarded as a difficult task, since binning, age
and temperature drift effects of LEDs change the actual color value output. Here
feedback loop systems are used, for example with color sensors, to actively monitor
and control the color output of multiple color mixing LEDs.[8]
In fishkeeping, color temperature has different functions and foci in the various
branches.
In freshwater aquaria, color temperature is generally of concern only for producing a more attractive display. Lights
tend to be designed to produce an attractive spectrum, sometimes with secondary attention paid to keeping the
plants in the aquaria alive.
In a saltwater/reef aquarium, color temperature is an essential part of tank health. Within about 400 to 3000
nanometers, light of shorter wavelength can penetrate deeper into water than longer wavelengths,[9][10][11] providing
essential energy sources to the algae hosted in (and sustaining) coral. This is equivalent to an increase of color
temperature with water depth in this spectral range. Because coral typically live in shallow water and receive intense,
direct tropical sunlight, the focus was once on simulating this situation with 6500 K lights. In the meantime higher
temperature light sources have become more popular, first with 10000 K and more recently 16000 K and 20000 K.
The Sun
Applications
Lighting
Color temperature comparison of
common electric lampsAquaculture
14 of 25 January 15, 2019, Item # 3.2
Actinic lighting at the violet end of the visible range (420–460 nm) is used to allow night viewing without increasing
algae bloom or enhancing photosynthesis, and to make the somewhat fluorescent colors of many corals and fish
"pop", creating brighter display tanks.
In digital photography, the term color temperature is sometimes used interchangeably with white balance, which allow a remapping
of color values to simulate variations in ambient color temperature. Most digital cameras and raw image software provide presets
simulating specific ambient values (e.g., sunny, cloudy, tungsten, etc.) while others allow explicit entry of white balance values in
kelvins. These settings vary color values along the blue–yellow axis, while some software includes additional controls (sometimes
labeled "tint") adding the magenta–green axis, and are to some extent arbitrary and a matter of artistic interpretation.[12] Use of
absolute color temperature values are unlikely to be popular with digital photographers, as those with physical science backgrounds
will note. However the general idea of high K (blue-white) and low K (red-orange) will inform all who seek to experiment with their
own hardware and software.
Photographic emulsion film does not respond to lighting color identically to the human retina or visual perception. An object that
appears to the observer to be white may turn out to be very blue or orange in a photograph. The color balance may need to be
corrected during printing to achieve a neutral color print. The extent of this correction is limited since color film normally has three
layers sensitive to different colors and when used under the "wrong" light source, every layer may not respond proportionally, giving
odd color casts in the shadows, although the mid-tones may have been correctly white-balanced under the enlarger. Light sources
with discontinuous spectra, such as fluorescent tubes, cannot be fully corrected in printing either, since one of the layers may barely
have recorded an image at all.
Photographic film is made for specific light sources (most commonly daylight film and tungsten film), and, used properly, will create
a neutral color print. Matching the sensitivity of the film to the color temperature of the light source is one way to balance color. If
tungsten film is used indoors with incandescent lamps, the yellowish-orange light of the tungsten incandescent lamps will appear as
white (3200 K) in the photograph. Color negative film is almost always daylight-balanced, since it is assumed that color can be
adjusted in printing (with limitations, see above). Color transparency film, being the final artefact in the process, has to be matched to
the light source or filters must be used to correct color.
Filters on a camera lens, or color gels over the light source(s) may be used to correct color balance. When shooting with a bluish light
(high color temperature) source such as on an overcast day, in the shade, in window light, or if using tungsten film with white or blue
light, a yellowish-orange filter will correct this. For shooting with daylight film (calibrated to 5600 K) under warmer (low color
temperature) light sources such as sunsets, candlelight or tungsten lighting, a bluish (e.g. #80A) filter may be used. More-subtle
filters are needed to correct for the difference between, say 3200 K and 3400 K tungsten lamps or to correct for the slightly blue cast
of some flash tubes, which may be 6000 K.
If there is more than one light source with varied color temperatures, one way to balance the color is to use daylight film and place
color-correcting gel filters over each light source.
Photographers sometimes use color temperature meters. These are usually designed to read only two regions along the visible
spectrum (red and blue); more expensive ones read three regions (red, green, and blue). However, they are ineffective with sources
such as fluorescent or discharge lamps, whose light varies in color and may be harder to correct for. Because this light is often
greenish, a magenta filter may correct it. More sophisticated colorimetry tools can be used if such meters are lacking.
In the desktop publishing industry, it is important to know a monitor’s color temperature. Color matching software, such as Apple's
ColorSync for Mac OS, measures a monitor's color temperature and then adjusts its settings accordingly. This enables on-screen color
to more closely match printed color. Common monitor color temperatures, along with matching standard illuminants in parentheses,
Digital photography
Photographic film
Desktop publishing
15 of 25 January 15, 2019, Item # 3.2
are as follows:
5000 K (D50)
5500 K (D55)
6500 K (D65)
7500 K (D75)
9300 K
D50 is scientific shorthand for a standard illuminant: the daylight spectrum at a correlated color temperature of 5000 K. Similar
definitions exist for D55, D65 and D75. Designations such as D50 are used to help classify color temperatures of light tables and
viewing booths. When viewing a color slide at a light table, it is important that the light be balanced properly so that the colors are
not shifted towards the red or blue.
Digital cameras, web graphics, DVDs, etc., are normally designed for a 6500 K color temperature. The sRGB standard commonly
used for images on the Internet stipulates (among other things) a 6500 K display white point.
The NTSC and PAL TV norms call for a compliant TV screen to display an electrically black and white signal (minimal color
saturation) at a color temperature of 6500 K. On many consumer-grade televisions, there is a very noticeable deviation from this
requirement. However, higher-end consumer-grade televisions can have their color temperatures adjusted to 6500 K by using a
preprogrammed setting or a custom calibration. Current versions of ATSC explicitly call for the color temperature data to be included
in the data stream, but old versions of ATSC allowed this data to be omitted. In this case, current versions of ATSC cite default
colorimetry standards depending on the format. Both of the cited standards specify a 6500 K color temperature.
Most video and digital still cameras can adjust for color temperature by zooming into a white or neutral colored object and setting the
manual "white balance" (telling the camera that "this object is white"); the camera then shows true white as white and adjusts all the
other colors accordingly. White-balancing is necessary especially when indoors under fluorescent lighting and when moving the
camera from one lighting situation to another. Most cameras also have an automatic white balance function that attempts to determine
the color of the light and correct accordingly. While these settings were once unreliable, they are much improved in today's digital
cameras and produce an accurate white balance in a wide variety of lighting situations.
Video camera operators can white-balance objects that are not white, downplaying the color
of the object used for white-balancing. For instance, they can bring more warmth into a
picture by white-balancing off something that is light blue, such as faded blue denim; in this
way white-balancing can replace a filter or lighting gel when those are not available.
Cinematographers do not “white balance” in the same way as video camera operators; they
use techniques such as filters, choice of film stock, pre-flashing, and, after shooting, color
grading, both by exposure at the labs and also digitally. Cinematographers also work closely
with set designers and lighting crews to achieve the desired color effects.
For artists, most pigments and papers have a cool or warm cast, as the human eye can detect
even a minute amount of saturation. Gray mixed with yellow, orange, or red is a “warm
gray”. Green, blue, or purple create “cool grays”. Note that this sense of temperature is the
reverse of that of real temperature; bluer is described as “cooler” even though it corresponds
to a higher-temperature black body.
Lighting designers sometimes select filters by color temperature,
commonly to match light that is theoretically white. Since fixtures
using discharge type lamps produce a light of a considerably higher
TV, video, and digital still cameras
Artistic application via control of color temperature
The house above appears a
light cream during midday, but
seems to be bluish white here
in the dim light before full
sunrise. Note the color
temperature of the sunrise in
the background.
16 of 25 January 15, 2019, Item # 3.2
"Warm" gray "Cool" gray
Mixed with 6% yellow. Mixed with 6% blue.
color temperature than do tungsten lamps, using the two in conjunction
could potentially produce a stark contrast, so sometimes fixtures with
HID lamps, commonly producing light of 6000–7000 K, are fitted with
3200 K filters to emulate tungsten light. Fixtures with color mixing
features or with multiple colors, (if including 3200 K) are also capable
of producing tungsten-like light. Color temperature may also be a
factor when selecting lamps, since each is likely to have a different
color temperature.
The correlated color temperature (CCT, Tcp) is the
temperature of the Planckian radiator whose perceived color
most closely resembles that of a given stimulus at the same
brightness and under specified viewing conditions
— CIE/IEC 17.4:1987, International Lighting
Vocabulary (ISBN 3900734070)[13]
Black-body radiators are the reference by which the whiteness of light sources
is judged. A black body can be described by its color temperature, whose hues
are depicted above. By analogy, nearly Planckian light sources such as certain
fluorescent or high-intensity discharge lamps can be judged by their correlated
color temperature (CCT), the color temperature of the Planckian radiator that
best approximates them. For light source spectra that are not Planckian, color
temperature is not a well defined attribute; the concept of correlated color
temperature was developed to map such sources as well as possible onto the
one-dimensional scale of color temperature, where "as well as possible" is defined in the context of an objective color space.
The notion of using Planckian radiators as a yardstick against which to judge other light sources is not new.[14] In 1923, writing about
"grading of illuminants with reference to quality of color ... the temperature of the source as an index of the quality of color", Priest
essentially described CCT as we understand it today, going so far as to use the term "apparent color temperature", and astutely
recognized three cases:[15]
"Those for which the spectral distribution of energy is identical with that given by the Planckian formula."
"Those for which the spectral distribution of energy is not identical with that given by the Planckian formula, but still is
of such a form that the quality of the color evoked is the same as would be evoked by the energy from a Planckian
radiator at the given color temperature."
"Those for which the spectral distribution of energy is such that the color can be matched only approximately by a
stimulus of the Planckian form of spectral distribution."
Several important developments occurred in 1931. In chronological order:
1. Raymond Davis published a paper on "correlated color temperature" (his term). Referring to the Planckian locus on
the r-g diagram, he defined the CCT as the average of the "primary component temperatures" (RGB CCTs), using
trilinear coordinates.[16]
2. The CIE announced the XYZ color space.
Correlated color temperature
Log-log graphs of peak emission
wavelength and radiant exitance vs black-
body temperature – red arrows show that
5780 K black bodies have 501 nm peak
wavelength and 63.3 MW/m² radiant
exitance
Motivation
Background
17 of 25 January 15, 2019, Item # 3.2
3. Deane B. Judd published a paper on the nature of "least perceptible
differences" with respect to chromatic stimuli. By empirical means he
determined that the difference in sensation, which he termed ΔE for a
"discriminatory step between colors ... Empfindung" (German for sensation)
was proportional to the distance of the colors on the chromaticity diagram.
Referring to the (r,g) chromaticity diagram depicted aside, he hypothesized
that[17]
KΔE = |c1 − c2| = max(|r1 − r2|, |g1 − g2|).
These developments paved the way for the development of new chromaticity spaces that
are more suited to estimating correlated color temperatures and chromaticity differences.
Bridging the concepts of color difference and color temperature, Priest made the
observation that the eye is sensitive to constant differences in "reciprocal"
temperature:[18]
A difference of one micro-reciprocal-degree (μrd) is fairly representative
of the doubtfully perceptible difference under the most favorable
conditions of observation.
Priest proposed to use "the scale of temperature as a scale for arranging the
chromaticities of the several illuminants in a serial order". Over the next few years, Judd
published three more significant papers:
The first verified the findings of Priest,[15] Davis,[16] and Judd,[17] with a paper on
sensitivity to change in color temperature.[19]
The second proposed a new chromaticity space, guided by a principle that has become
the holy grail of color spaces: perceptual uniformity (chromaticity distance should be
commensurate with perceptual difference). By means of a projective transformation,
Judd found a more "uniform chromaticity space" (UCS) in which to find the CCT. Judd
determined the "nearest color temperature" by simply finding the point on the Planckian
locus nearest to the chromaticity of the stimulus on Maxwell's color triangle, depicted
aside. The transformation matrix he used to convert X,Y,Z tristimulus values to R,G,B
coordinates was:[20]
From this, one can find these chromaticities:[21]
The third depicted the locus of the isothermal chromaticities on the CIE 1931 x,y chromaticity diagram.[22] Since the isothermal
points formed normals on his UCS diagram, transformation back into the xy plane revealed them still to be lines, but no longer
perpendicular to the locus.
Judd's idea of determining the nearest point to the Planckian locus on a uniform chromaticity space is current. In 1937, MacAdam
suggested a "modified uniform chromaticity scale diagram", based on certain simplifying geometrical considerations:[23]
Judd's (r,g) diagram. The
concentric curves indicate the loci
of constant purity.
Judd's Maxwell triangle.
Planckian locus in gray.
Translating from trilinear co-
ordinates into Cartesian co-
ordinates leads to the next
diagram.
Calculation
18 of 25 January 15, 2019, Item # 3.2
This (u,v) chromaticity space became the CIE 1960 color space, which is still used to
calculate the CCT (even though MacAdam did not devise it with this purpose in
mind).[24] Using other chromaticity spaces, such as u'v', leads to non-standard results
that may nevertheless be perceptually meaningful.[25]
Judd's uniform chromaticity space
(UCS), with the Planckian locus
and the isotherms from 1000 K to
10000 K, perpendicular to the
locus. Judd calculated the
isotherms in this space before
translating them back into the
(x,y) chromaticity space, as
depicted in the diagram at the top
of the article.
Close up of the Planckian locus in
the CIE 1960 UCS, with the
isotherms in mireds. Note the
even spacing of the isotherms
when using the reciprocal
temperature scale and compare
with the similar figure below. The
even spacing of the isotherms on
the locus implies that the mired
scale is a better measure of
perceptual color difference than
the temperature scale.
MacAdam's "uniform chromaticity scale"
diagram; a simplification of Judd's UCS.
19 of 25 January 15, 2019, Item # 3.2
Close up of the CIE 1960 UCS. The isotherms are perpendicular to the Planckian locus, and
are drawn to indicate the maximum distance from the locus that the CIE considers the
correlated color temperature to be meaningful:
The distance from the locus (i.e., degree of departure from a black body) is traditionally indicated in units of ; positive for points
above the locus. This concept of distance has evolved to become Delta E, which continues to be used today.
Before the advent of powerful personal computers, it was common to estimate the correlated color temperature by way of
interpolation from look-up tables and charts.[26] The most famous such method is Robertson's,[27] who took advantage of the
relatively even spacing of the mired scale (see above) to calculate the CCT Tc using linear interpolation of the isotherm's mired
values:[28]
where and are the color temperatures of the look-up
isotherms and i is chosen such that . (Furthermore,
the test chromaticity lies between the only two adjacent lines for
which .)
If the isotherms are tight enough, one can assume
, leading to
The distance of the test point to the i-th isotherm is given by
where is the chromaticity coordinate of the i-th isotherm on the Planckian locus and mi is the isotherm's slope. Since it is
perpendicular to the locus, it follows that where li is the slope of the locus at .
Robertson's method
Computation of the CCT Tc corresponding to the
chromaticity coordinate in the CIE 1960
UCS.
Precautions
20 of 25 January 15, 2019, Item # 3.2
Although the CCT can be calculated for any chromaticity coordinate, the result is meaningful only if the light sources are nearly
white.[29] The CIE recommends that "The concept of correlated color temperature should not be used if the chromaticity of the test
source differs more than [] from the Planckian radiator."[30] Beyond a certain value of , a chromaticity co-ordinate
may be equidistant to two points on the locus, causing ambiguity in the CCT.
If a narrow range of color temperatures is considered—those encapsulating daylight being the most practical case—one can
approximate the Planckian locus in order to calculate the CCT in terms of chromaticity coordinates. Following Kelly's observation
that the isotherms intersect in the purple region near (x = 0.325, y = 0.154),[26] McCamy proposed this cubic approximation:[31]
CCT(x, y) = 449n3 + 3525n2 + 6823.3n + 5520.33,
where n = (x − xe)/(y - ye) is the inverse slope line, and (xe = 0.3320, ye = 0.1858) is the "epicenter"; quite close to the intersection
point mentioned by Kelly. The maximum absolute error for color temperatures ranging from 2856 K (illuminant A) to 6504 K (D65)
is under 2 K.
A more recent proposal, using exponential terms, considerably extends the applicable range by adding a second epicenter for high
color temperatures:[32]
CCT(x,y) = A0 + A1exp(−n/t1) + A2exp(−n/t2) + A3exp(−n/t3),
where n is as before and the other constants are defined below:
3–50 kK 50–800 kK
xe 0.3366 0.3356
ye 0.1735 0.1691
A0 −949.86315 36284.48953
A1 6253.80338 0.00228
t1 0.92159 0.07861
A2 28.70599 5.4535×10−36
t2 0.20039 0.01543
A3 0.00004
t3 0.07125
The inverse calculation, from color temperature to corresponding chromaticity coordinates, is discussed in Planckian locus.
The CIE color rendering index (CRI) is a method to determine how well a light source's illumination of eight sample patches
compares to the illumination provided by a reference source. Cited together, the CRI and CCT give a numerical estimate of what
reference (ideal) light source best approximates a particular artificial light, and what the difference is.
Light sources and illuminants may be characterized by their spectral power distribution (SPD). The relative SPD curves provided by
many manufacturers may have been produced using 10 nm increments or more on their spectroradiometer.[33] The result is what
would seem to be a smoother ("fuller spectrum") power distribution than the lamp actually has. Owing to their spiky distribution,
much finer increments are advisable for taking measurements of fluorescent lights, and this requires more expensive equipment.
Approximation
Color rendering index
Spectral power distribution
21 of 25 January 15, 2019, Item # 3.2
In astronomy, the color temperature is
defined by the local slope of the SPD at a
given wavelength, or, in practice, a
wavelength range. Given, for example, the
color magnitudes B and V which are
calibrated to be equal for an A0V star (e.g.
Vega), the stellar color temperature is
given by the temperature for which the color
index of a black-body radiator fits the
stellar one. Besides the , other color
indices can be used as well. The color temperature (as well as the
correlated color temperature defined above) may differ largely from
the effective temperature given by the radiative flux of the stellar
surface. For example, the color temperature of an A0V star is about
15000 K compared to an effective temperature of about 9500 K.[34]
Kruithof curve
Luminous efficacy
Over-illumination
Brightness temperature
Effective temperature
Whiteness
Color metamerism
1. See the comments section of this LightNowBlog.com article (http://www.lightnowblog.com/2016/07/ama-issues-led-st
reetlighting-guidance-controversy-ensues/) Archived (https://web.archive.org/web/20170307123725/http://www.lightn
owblog.com/2016/07/ama-issues-led-streetlighting-guidance-controversy-ensues/) 2017-03-07 at the Wayback
Machine. on the recommendations of the American Medical Association to prefer LED-lighting with cooler color
temperatures (i.e. warmer color).
2. "OSRAM SYVLANIA XBO" (https://web.archive.org/web/20160303212115/http://assets.sylvania.com/assets/docume
nts/ENGR_BLTN11.161355cc-1d94-4996-b6cd-a3001fea6f1a.pdf) (PDF). Archived from the original (http://assets.sy
lvania.com/assets/documents/ENGR_BLTN11.161355cc-1d94-4996-b6cd-a3001fea6f1a.pdf) (PDF) on 2016-03-03.
3. Wallace Roberts Stevens (1951). Principles of Lighting (https://books.google.com/?id=gH5RAAAAMAAJ&q=micro-re
ciprocal-degree+date:0-1960&dq=micro-reciprocal-degree+date:0-1960). Constable.
4. Williams, D. R. (2004). "Sun Fact Sheet" (http://nssdc.gsfc.nasa.gov/planetary/factsheet/sunfact.html). NASA.
Archived (https://web.archive.org/web/20131206053849/http://nssdc.gsfc.nasa.gov/planetary/factsheet/sunfact.html)
from the original on 2013-12-08. Retrieved 2010-09-27.
5. "Principles of Remote Sensing — CRISP" (http://www.crisp.nus.edu.sg/~research/tutorial/optical.htm). Archived (http
s://web.archive.org/web/20120702174159/http://www.crisp.nus.edu.sg/~research/tutorial/optical.htm) from the
original on 2012-07-02. Retrieved 2012-06-18.
6. Chris George (2008). Mastering Digital Flash Photography: The Complete Reference Guide (https://books.google.co
m/?id=j728wJySfyQC&dq=blue+cool+red+hot+color-temperature+sun). Sterling Publishing Company. p. 11.
ISBN 978-1-60059-209-6.
Characteristic spectral power distributions (SPDs) for an incandescent
lamp (left) and a fluorescent lamp (right). The horizontal axes are
wavelengths in nanometers, and the vertical axes show relative intensity
in arbitrary units.
Color temperature in
astronomy
Characteristic spectral power distribution of an A0V
star (Teff = 9500 K, cf. Vega) compared to black-
body spectra. The 15000 K black-body spectrum
(dashed line) matches the visible part of the stellar
SPD much better than the black body of 9500 K.
All spectra are normalized to intersect at 555
nanometers.
See also
References
22 of 25 January 15, 2019, Item # 3.2
7. Rüdiger Paschotta (2008). Encyclopedia of Laser Physics and Technology (https://books.google.com/?id=BN026ye2
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VCH. p. 219. ISBN 978-3-527-40828-3.
8. Thomas Nimz, Fredrik Hailer and Kevin Jensen (2012). Sensors and Feedback Control of Multi-Color LED Systems
(https://web.archive.org/web/20140429162806/http://www.mazet.de/en/english-documents/english/featured-articles/s
ensors-and-feedback-control-of-multi-color-led-systems-1/download#.UX7VXYIcUZI). LED Professional. pp. 2–5.
ISSN 1993-890X (https://www.worldcat.org/issn/1993-890X). Archived from the original (http://www.mazet.de/en/engl
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9. Chaplin, Martin. "Water Absorption Spectrum" (http://www.lsbu.ac.uk/water/vibrat.html). Archived (https://web.archiv
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10. Pope R. M., Fry E. S. (1997). "Absorption spectrum (380–700 nm) of pure water. II. Integrating cavity
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of America. 36 (33): 8710–8723. doi:10.1364/AO.36.008710 (https://doi.org/10.1364%2FAO.36.008710). Archived (h
ttps://web.archive.org/web/20141114195506/http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-33-8710)
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11. Jerlov N. G. (1976). Marine Optics (https://books.google.com/books?id=tzwgrtnW_lYC&lpg=PA128&pg=PA128#v=o
nepage&q&f=false). Elsevie Oceanography Series. 14. Amsterdam: Elsevier Scientific Publishing Company.
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2017. Retrieved August 1, 2012.
12. Kern, Chris. "Reality Check: Ambiguity and Ambivalence in Digital Color Photography" (http://www.chriskern.net/ess
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Check.html) from the original on 2011-07-22. Retrieved 2011-03-11.
13. Borbély, Ákos; Sámson, Árpád; Schanda, János (December 2001). "The concept of correlated colour temperature
revisited" (https://web.archive.org/web/20090205040121/http://www.knt.vein.hu/staff/schandaj/SJCV-Publ-2005/462.
doc). Color Research & Application. 26 (6): 450–457. doi:10.1002/col.1065 (https://doi.org/10.1002%2Fcol.1065).
Archived from the original (http://www.knt.vein.hu/staff/schandaj/SJCV-Publ-2005/462.doc) on 2009-02-05.
14. Hyde, Edward P. (June 1911). "A New Determination of the Selective Radiation from Tantalum (abstract)". Physical
Review. Series I. The American Physical Society. 32 (6): 632–633. doi:10.1103/PhysRevSeriesI.32.632 (https://doi.o
rg/10.1103%2FPhysRevSeriesI.32.632). "This existence of a color match is a consequence of there being
approximately the same energy distribution in the visible spectra."
15. Priest, Irwin G. (1923). "The colorimetry and photometry of daylight ·and incandescent illuminants by the method of
rotatory dispersion" (http://www.opticsinfobase.org/abstract.cfm?URI=josa-7-12-1175). JOSA. 7 (12): 1175–1209.
doi:10.1364/JOSA.7.001175 (https://doi.org/10.1364%2FJOSA.7.001175). "The color temperature of a source is the
temperature at which a Planckian radiator would emit radiant energy competent to evoke a color of the same quality
as that evoked by the radiant energy from the source in question. The color temperature is not necessarily the same
as the 'true temperature' of the source; but this circumstance has no significance whatever in the use of the color
temperature as a means to the end of establishing a scale for the quality of the color of illuminants. For this purpose
no knowledge of the temperature of the source nor indeed of its emissive properties is required. All that is involved in
giving the color temperature of any illuminant is the affirmation that the color of the luminant is of the same quality as
the color of a Planckian radiator at the given temperature."
16. Davis, Raymond (1931). "A Correlated Color Temperature for Illuminants". National Bureau of Standards Journal of
Research. 7: 659–681. doi:10.6028/jres.007.039 (https://doi.org/10.6028%2Fjres.007.039). "The ideal correlated
colour temperature of a light source is the absolute temperature at which the Planckian radiator emits radiant energy
component to evoke a colour which, of all Planckian colours, most closely approximates the colour evoked by the
source in question." from Research Paper 365
17. Judd, Deane B. (1931). "Chromaticity sensibility to stimulus differences" (http://www.opticsinfobase.org/abstract.cfm?
id=48631). JOSA. 22 (2): 72–108. doi:10.1364/JOSA.22.000072 (https://doi.org/10.1364%2FJOSA.22.000072).
18. Priest, Irwin G. (February 1933). "A proposed scale for use in specifying the chromaticity of incandescent illuminants
and various phases of daylight" (http://www.opticsinfobase.org/abstract.cfm?URI=josa-23-2-41). JOSA. 23 (2): 42.
doi:10.1364/JOSA.23.000041 (https://doi.org/10.1364%2FJOSA.23.000041).
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19. Judd, Deane B. (January 1933). "Sensibility to Color-Temperature Change as a Function of Temperature" (http://ww
w.opticsinfobase.org/abstract.cfm?URI=josa-23-1-7). JOSA. 23 (1): 7. doi:10.1364/JOSA.23.000007 (https://doi.org/
10.1364%2FJOSA.23.000007). "Regarding (Davis, 1931): This simpler statement of the spectral-centroid relation
might have been deduced by combining two previous findings, one by Gibson (see footnote 10, p. 12) concerning a
spectral-centroid relation between incident and transmitted light for daylight filters, the other by Langmuir and
Orange (Trans. A.I.E.E., 32, 1944–1946 (1913)) concerning a similar relation involving reciprocal temperature. The
mathematical analysis on which this latter finding is based was given later by Foote, Mohler and Fairchild, J. Wash.
Acad. Sci. 7, 545–549 (1917), and Gage, Trans. I.E.S. 16, 428–429 (1921) also called attention to this relation."
20. Judd, Deane B. (January 1935). "A Maxwell Triangle Yielding Uniform Chromaticity Scales" (http://www.opticsinfobas
e.org/abstract.cfm?URI=josa-25-1-24). JOSA. 25 (1): 24–35. doi:10.1364/JOSA.25.000024 (https://doi.org/10.1364%
2FJOSA.25.000024). "An important application of this coordinate system is its use in finding from any series of
colors the one most resembling a neighboring color of the same brilliance, for example, the finding of the nearest
color temperature for a neighboring non-Planckian stimulus. The method is to draw the shortest line from the point
representing the non-Planckian stimulus to the Planckian locus."
21. OSA Committee on Colorimetry (November 1944). "Quantitative data and methods for colorimetry" (http://www.optic
sinfobase.org/abstract.cfm?URI=josa-34-11-633). JOSA. 34 (11): 633–688. (recommended reading)
22. Judd, Deane B. (November 1936). "Estimation of Chromaticity Differences and Nearest Color Temperatures on the
Standard 1931 I.C.I. Colorimetric Coordinate System" (http://www.opticsinfobase.org/abstract.cfm?URI=josa-26-11-4
21). JOSA. 26 (11): 421–426. doi:10.1364/JOSA.26.000421 (https://doi.org/10.1364%2FJOSA.26.000421).
23. MacAdam, David L. (August 1937). "Projective transformations of I.C.I. color specifications" (http://www.opticsinfoba
se.org/abstract.cfm?URI=josa-27-8-294). JOSA. 27 (8): 294–299. doi:10.1364/JOSA.27.000294 (https://doi.org/10.1
364%2FJOSA.27.000294).
24. The CIE definition of correlated color temperature (removed) (http://www.delta.dk/C1256ED600446B80/sysOakFil/i1
02/$File/I102%20Correlated%20Colour%20Temperature.pdf) Archived (https://web.archive.org/web/2009020504012
2/http://www.delta.dk/C1256ED600446B80/sysOakFil/i102/%24File/I102%20Correlated%20Colour%20Temperature.
pdf) 2009-02-05 at the Wayback Machine.
25. Schanda, János; Danyi, M. (1977). "Correlated Color-Temperature Calculations in the CIE 1976 Chromaticity
Diagram". Color Research & Application. Wiley Interscience. 2 (4): 161–163. doi:10.1002/col.5080020403 (https://do
i.org/10.1002%2Fcol.5080020403). "Correlated color temperature can be calculated using the new diagram, leading
to somewhat different results than those calculated according to the CIE 1960 uv diagram."
26. Kelly, Kenneth L. (August 1963). "Lines of Constant Correlated Color Temperature Based on MacAdam's (u,v)
Uniform Chromaticity Transformation of the CIE Diagram" (http://www.opticsinfobase.org/abstract.cfm?URI=josa-53-
8-999). JOSA. 53 (8): 999–1002. doi:10.1364/JOSA.53.000999 (https://doi.org/10.1364%2FJOSA.53.000999).
27. Robertson, Alan R. (November 1968). "Computation of Correlated Color Temperature and Distribution Temperature"
(http://www.opticsinfobase.org/abstract.cfm?URI=josa-58-11-1528). JOSA. 58 (11): 1528–1535.
doi:10.1364/JOSA.58.001528 (https://doi.org/10.1364%2FJOSA.58.001528).
28. ANSI C implementation (http://www.brucelindbloom.com/index.html?Eqn_XYZ_to_T.html) Archived (https://web.archi
ve.org/web/20080422034438/http://www.brucelindbloom.com/index.html?Eqn_XYZ_to_T.html) 2008-04-22 at the
Wayback Machine., Bruce Lindbloom
29. Walter, Wolfgang (February 1992). "Determination of correlated color temperature based on a color-appearance
model". Color Research & Application. 17 (1): 24–30. doi:10.1002/col.5080170107 (https://doi.org/10.1002%2Fcol.5
080170107). "The concept of correlated color temperature is only useful for lamps with chromaticity points close to
the black body…"
30. Schanda, János (2007). "3: CIE Colorimetry". Colorimetry: Understanding the CIE System. Wiley Interscience.
pp. 37–46. doi:10.1002/9780470175637.ch3 (https://doi.org/10.1002%2F9780470175637.ch3). ISBN 978-0-470-
04904-4.
31. McCamy, Calvin S. (April 1992). "Correlated color temperature as an explicit function of chromaticity coordinates".
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33. Gretag's SpectroLino (http://www.xrite.com/documents/literature/gmb/en/200_spectrolino_manual_en.pdf) Archived
(https://web.archive.org/web/20061110131804/http://www.xrite.com/documents/literature/gmb/en/200_spectrolino_m
anual_en.pdf) 2006-11-10 at the Wayback Machine. and X-Rite's ColorMunki (http://www.pictureline.com/images/pd
f/L11-246%20CM%20CompetitCompr_03-17-08.pdf) Archived (https://web.archive.org/web/20090205040118/http://
www.pictureline.com/images/pdf/L11-246%20CM%20CompetitCompr_03-17-08.pdf) 2009-02-05 at the Wayback
Machine. have an optical resolution of 10 nm.
34. Unsöld, Albrecht; Bodo Baschek (1999). Der neue Kosmos (6 ed.). Berlin, Heidelberg, New York: Springer. ISBN 3-
540-64165-3.
Further reading
External links
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