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Photo Forum / Film Photography / Darkroom / May 2008

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Enlarger lens options.

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otzi - 07 May 2008 16:19 GMT
I am well aware that probably all modern enlarger lenses are pretty good.
The question arises, is the Componon HM series any advantage for black &
white printing
over the Componon -S
I am pretty thick about reading any graph curves but the Componon - S curves
seem flatter than the HM ones.

The Rodenstock charts seem to be a lot easier to understand, well they are
marketed as such anyway.
Would the lens folk of this community consider the APO-Rodagon - N enlarging
lenses to be on a par with the
HM series or the Componon - S series? And does it matter.  What about bigger
magnifications, say 12X.

Would all the modern (new) enlarging lenses, apart from the amateur series,
perform equally to the eye.
Charles Hohenstein - 07 May 2008 18:03 GMT
> I am well aware that probably all modern enlarger lenses are pretty good.
> The question arises, is the Componon HM series any advantage for black &
[quoted text clipped - 12 lines]
> Would all the modern (new) enlarging lenses, apart from the amateur series,
> perform equally to the eye.

Isn't the APO Rodagon-N intended for copy work as a taking lens?

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Peter - 07 May 2008 18:25 GMT
> I am well aware that probably all modern enlarger lenses are pretty good.
> The question arises, is the Componon HM series any advantage for black &
[quoted text clipped - 12 lines]
> Would all the modern (new) enlarging lenses, apart from the amateur series,
> perform equally to the eye.

As I recall, the HM lenses permit a bit more magnification with a
given set-up because they have a somewhat wider field.  This permits
using a shorter focal length lens and thus more enlargement.

If you need that, it would seem to be of interest.  You may be right,
that there is something given up getting the wider field.

Even so, extracting the last bit of performance from whatever lens is
also an issue.  You also need pretty good technique to see the
advantage of a lens that is claimed to be better than the Componon-S
(or a Rodagon).  In particular, you need to eliminate vibration,
eliminate any misalignment, focus accurately and avoid any curl or pop
in the negative (for big negatives, this may mean a glass carrier).
otzi - 07 May 2008 18:32 GMT
On May 7, 5:19 pm, "otzi" <x...@xxx.xxx.au> wrote:
> I am well aware that probably all modern enlarger lenses are pretty good.
> The question arises, is the Componon HM series any advantage for black &
[quoted text clipped - 16 lines]
> series,
> perform equally to the eye.

As I recall, the HM lenses permit a bit more magnification with a
given set-up because they have a somewhat wider field.  This permits
using a shorter focal length lens and thus more enlargement.

If you need that, it would seem to be of interest.  You may be right,
that there is something given up getting the wider field.

Even so, extracting the last bit of performance from whatever lens is
also an issue.  You also need pretty good technique to see the
advantage of a lens that is claimed to be better than the Componon-S
(or a Rodagon).  In particular, you need to eliminate vibration,
eliminate any misalignment, focus accurately and avoid any curl or pop
in the negative (for big negatives, this may mean a glass carrier).

I just wondered if the HM was more for colour work, rather than B&W.
Peter - 07 May 2008 21:06 GMT
...

> I just wondered if the HM was more for colour work, rather than B&W.- Hide quoted text -
>
> - Show quoted text -

Sometimes Bob Salomon posts on this board and he would have more
details at his fingertips.

My opinion is that unless you need the extra coverage the obvious
choice is whichever is cheaper.  It wll be hard to see a difference in
image quality between the lenses using either B&W or color.  The
Componon-S, the Rodagon, the Nikon and the HM Componon are excellent
lenses (usually - individual variation or especially damage in a used
lens is possible).
Richard Knoppow - 07 May 2008 22:50 GMT
On May 7, 7:32 pm, "otzi" <x...@xxx.xxx.au> wrote:
...

> I just wondered if the HM was more for colour work, rather
> than B&W.- Hide quoted text -
>
> - Show quoted text -

Sometimes Bob Salomon posts on this board and he would have
more
details at his fingertips.

My opinion is that unless you need the extra coverage the
obvious
choice is whichever is cheaper.  It wll be hard to see a
difference in
image quality between the lenses using either B&W or color.
The
Componon-S, the Rodagon, the Nikon and the HM Componon are
excellent
lenses (usually - individual variation or especially damage
in a used
lens is possible).

    One problem with "wide angle" enlarging lenses is light
fall off. Fall off is due to geometric properties and
increases with the image angle. It can be reduced to some
degree in some types of wide angle lenses but I don't think
this principal is used for enlarging lenses. As an example I
use a 135mm lens for enlarging 4x5 negatives and must burn
the corners. Standard for this format is 150mm but 180mm
would be better for corner to corner uniformity, however, it
would require a very long throw (tall column).  I concur
that unless you need a wide angle lens because of lack of
projection space its better to use a longer focal length.
    As far as the MTF charts from the various manufacturers
go they really don't tell you much. Rodenstock's chromatic
correction curve shows that their "apo" lenses are not
apochromatic but acromatic and AFAIK so are Schneider's.
This really makes no practical difference because both lines
are very well corrected.
    For the most part the older Schneider Componon-S is
excellent and there is not a lot to be gained by using newer
and much more expensive lenses although their performance is
marginally better.
    BTW, one of the reasons for the redesign of both
enlarging and camera lenses in the last couple of decades is
the lack of certain kinds of optical glass due to some
components being considered environmental hazards. For
instance arsenic was a common ingredient in glass to clarify
it and must not be used now. Since some of the glass
constants have changed the designs have had to be changed.
Not a big deal with computer assisted design but it does
require making some changes. The original Tessar could not
be built now because the glass types it calls for are no
longer available.

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---
Richard Knoppow
Los Angeles, CA, USA
dickburk@ix.netcom.com

Stefan Patric - 08 May 2008 01:02 GMT
> I am well aware that probably all modern enlarger lenses are pretty
> good. The question arises, is the Componon HM series any advantage for
[quoted text clipped - 12 lines]
> Would all the modern (new) enlarging lenses, apart from the amateur
> series, perform equally to the eye.

Perhaps, this might help solve your quandary or, at least, be
enlightening.

Years ago, a friend of mine, a Rochester Institute of Technology graduate
in the photo processing and laboratory fields, owned a pro lab, a dream
of his.  He had all manner of enlarging lenses of all makes and models--
Componons, Comparons, Rodagons, and some I'd never heard of.  One day,
the Rodagon rep came in and gave him a couple Apo-Rodagons to try out.  
They were a new design.  To make a long story short:  He ended up
replacing EVERY enlarger lens in the lab with Apo-Rodagons for both color
and b&w.  He said that you could actually see the improved image quality
with the naked eye even in an 8x10 print, and they did prints up to 8x10
feet.  But to truly benefit from the superiority and flatness of field of
the lenses, you had to use glass carriers to hold the film perfectly
flat, and all the stages of your enlarger had to be in perfect alignment
and parallel to the vacuum printing easel.

Stef
Craig Schroeder - 08 May 2008 04:55 GMT
I've accumulated a large number of good lenses over some time and also
recently got about 20 more in a purchase of a pro lab /business odd
lot.  I decided to test the most desirable ones for my own duty and
took time with a Versalign rig to get all planes in proper alignment
for a run through.

The 40HM, 45HM and Rodagon APO 50 were judged about equal and all were
only slightly ahead of the standard Rodagons and Componon-S but only
discernible at higher magnifications.  The single Nikkor 50 2.8 was
slightly less sharp than the others mentioned but this could easily be
a single sample variation as these enjoy a good reputation.  An odd
Fujinon 49.9 EFS did very well and was nipping at the APO heels and I
believe anyone would be happy with it.  A 63mm Nikkor was also in this
same class as was a 40WA Rodagon.

The Rodagon 80 APO and Componon HM 90 seemed equal to each other and
in practice these show a very slight advantage for the Rodagon as
there is something about how it renders mid tone/skin tones that is
especially nice, at least with my materials and practices.  Again, the
standard Rodagons and Comp-S did well against these until more extreme
enlargement sizes.  A Nikkor 80 showed poorly but it had a bit of dust
internally and may not have been a good sample.  A single Componon S
100 did nicely and did slightly better than a pair of 105 Nikkors.  

It was fun to have all of these nice chunks of glass all in one place
for some comparisons.  I learned that I could likely be happy with
most any of them but use the APOs in general use for little more
reason than the psychology of having the best glass on the machine.  I
would describe myself as "fussy" regarding optics and I'll admit that
this entire exercise had me conclude that it is truly hair-splitting
to discern any real world difference in any of these good quality
choices.  Perhaps if I worked in color, I would find characteristics
that would favor one over another.  In black and white, my best tools
for quality in darkroom projection has turned out to be my alignment
tool and grain focuser!  Any of the differences I've highlighted were
very, very slight and had me pondering long and hard to tell any
difference.

>I am well aware that probably all modern enlarger lenses are pretty good.
>The question arises, is the Componon HM series any advantage for black &
>white printing
>over the Componon -S
>I am pretty thick about reading any graph curves but the Componon - S curves
>seem flatter than the HM ones.

Craig Schroeder
craig nospam craigschroeder com
otzi - 08 May 2008 16:20 GMT
Thanks for all the input folks.  I was curious but unconvinced. Just
wondered why so much was invested for so little gain. But these responses
were very encouraging.
Thanks.

> I've accumulated a large number of good lenses over some time and also
> recently got about 20 more in a purchase of a pro lab /business odd
[quoted text clipped - 44 lines]
> Craig Schroeder
> craig nospam craigschroeder com
Nicholas O. Lindan - 08 May 2008 16:48 GMT
> Just wondered why so much was invested for so little gain.

The law of diminishing returns.  When something is close to
perfection the cost of even a miniscule gain becomes
astronomical.

There is a universal "80/20 rule": you can get 80% of the
performance for 20% of the cost.

The most cost-effective approach to improving photography
is to buy a used Tessar-formula enlarging lens and spend the
savings on something worthwhile that will make a noticeable
and unequivocal improvement: a trip to someplace photogenic,
a workshop, a really good timer ...

Signature

Nicholas O. Lindan, Cleveland, Ohio
Darkroom Automation: F-Stop Timers, Enlarging Meters
http://www.darkroomautomation.com/index2.htm
n o lindan at ix dot netcom dot com

Jean-David Beyer - 08 May 2008 20:26 GMT
>> Just wondered why so much was invested for so little gain.
>
[quoted text clipped - 10 lines]
> and unequivocal improvement: a trip to someplace photogenic,
> a workshop, a really good timer ...

True. Many fuzzy images are caused by tripod insufficiency syndrome.
Of course, fuzzy concepts in the mind of the photographer can also be a problem.

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Pico - 08 May 2008 21:58 GMT
> The law of diminishing returns.  When something is close to
> perfection the cost of even a miniscule gain becomes
> astronomical.

Sometimes astronauts become miniscule. It evens out.

>spend the
>savings on something worthwhile that will make a noticeable
>and unequivocal improvement: a trip to someplace photogenic,
>a workshop, a really good timer ...

I got a good timer but I'm not having a good time.
Richard Knoppow - 08 May 2008 18:48 GMT
> Thanks for all the input folks.  I was curious but
> unconvinced. Just wondered why so much was invested for so
> little gain. But these responses were very encouraging.
> Thanks.

    Lots of snipping here.
    There are a number of reasons for the newer lenses. One
is simply that lenses have a very long lifetime so buying
one often takes the buyer out of the market for some time
unless a "better" replacement can be offered. Another is
that computer aided design makes it easier to make new
designs and evaluate them. Before computers the lens design
procedure could progress only so far through mathematical
analysis at which point a sample lens had to built and
evaluated on the optical bench. The computer allows very
complex analysis to be made quickly so that new designs can
be brought much closer to optimum before one is made. Often
the difference between a computer optimized lens and one
designed by the older methods is slight. I also mentioned in
an earlier response to this thread that the optical glass
types available had changed necessitating redesign of many
existing lenses. Since many of these were designed before
computer optimization became generally available the
redisign for new glass types also resulted in either
improvement in the original design or a completely new
design.
    Nearly all modern enlarging lenses are based on a
generic type known as a Plasmat as are many large format
camera lenses. These have several inherent advantages such
as low astigmatism which is important for flat field
applications such as enlarging. They are also have
relatively wide coverage angles.
    Modern multi-coating also helps performance by
increasing the image contrast.
    Keep in mind that any lens with fixed position elements
can be optimized for only one object to image distance. The
performance at other distances can be good but will not be
quite up to the optimum distance. Most camera lenses are
optimized for approximately infinity but enlarger lenses are
optimized for whatever distance corresponds to the
magnification the manufacturer thinks it will be used for
mostly. Some manufacturers, Rodenstock and Schneieder
particularly, specify the magnification range for their
lenses. While the lens can give satisfactory performance
outside of this range special range lenses will do better.
Both manuacturers offer lenses for relatively large
magnification, i.e., photomurals, as well as for more usual
size prints. Since the print size does not vary so much with
differences in format (one makes 8x10 or 11x14 from all
common negative sizes) the optimum magnification will vary
with the lens focal length, that is, it will be greater for
a lens for 35mm than for a 4x5 lens.
    A  high power grain focuser will often show up
differences in lenses that are much harder to see in a print
but may also introduce its own problems, for instance, some
grain focusers are not very well achromitized and will show
color fringes due to its own optics which are not present in
the image from the enlarging lens.

Signature

---
Richard Knoppow
Los Angeles, CA, USA
dickburk@ix.netcom.com

Martin J - 09 May 2008 09:02 GMT
>     A  high power grain focuser will often show up
> differences in lenses that are much harder to see in a print
> but may also introduce its own problems, for instance, some
> grain focusers are not very well achromitized and will show
> color fringes due to its own optics which are not present in
> the image from the enlarging lens.

I made a comparison between some better enlarging lenses for 24x36mm
(Apo-Rodagon 2.8/50, Componon-S 2.8/50, Focotar 4.5/50, Focotar 2.8/40
and Rodagon 4/60) and compared them at about 8x enlargement (20x30cm
paper size). Each was perfectly adjusted using a Peak #1, a glass carrier
and all enlarger planes were adjusted parallel using a laser tool. All
lenses were closed 2 stops from wide open.

The result: The only one you could distinguish from the others was the old
Focotar 4.5/50. It had a little curvature of field visible at the extreme
edges. That's all... no visible difference for the other lenses.

You can see the differences between the lenses with the Peak #1. The curvature
of field is readily visible for the two Focotars. The two Rodagon
and the Componon-S were much better and nearly identical. The Apo-Rodagon was
a little better wide open than the others, but all 2.8 lenses were unuseable
with this opening (for my view of quality...). Stopped down, all
were excellent.

Martin
Richard Knoppow - 10 May 2008 06:17 GMT
>>     A  high power grain focuser will often show up
>> differences in lenses that are much harder to see in a
[quoted text clipped - 39 lines]
>
> Martin

   That's quite interesting. I suspect the Rodagon and
Componon designs are quite similar although I don't have the
actual prescriptions. Since its likely all the relatively
modern lenses were designed with the aid of computers I
suspect the performance should be much alike. I think the
Focotar is an older design. One of the characteristics of
the generic Plasmat type, which is what the Rodagon and
Componon are, is that they can be unusually well corrected
for astigmatism. Forgoing an explanation of what exactly
that is (different in a camera lens than in opthalmic
lenses) it leads to being able to get a very flat field.
While both manufacturers claim superiority I suspect its
pretty much a draw. Some think the Rodagon is mechanically
superior to the Componon. Do your lenses have metal or
plastic iris blades?

Signature

---
Richard Knoppow
Los Angeles, CA, USA
dickburk@ix.netcom.com

Jean-David Beyer - 10 May 2008 11:56 GMT
> That's quite interesting. I suspect the Rodagon and Componon designs are
> quite similar although I don't have the actual prescriptions. Since its
[quoted text clipped - 8 lines]
> think the Rodagon is mechanically superior to the Componon. Do your
> lenses have metal or plastic iris blades?

When I first got into 4x5" work, in the mid 1970s, I got a Schneider
Componon-S f/5.6 to f/45 180mm enlarging lens, # 11 973 xxx. It works fine.
Its diaphragm has lots of blades (about 19 of them), enough to make the
aperture look round, and they appear to be metal. At least 10 years later, I
got a Componon-S f/5.6 to f/45 150mm lens, # 14 588 yyy. It has only 5
blades, so the aperture looks approximately like a pentagon (except the
edges are not quite straght. I cannot tell if they are metal or plastic; the
180 blades are shinier than the 150 and darker, reminding me of blackened
brass (but I do not know what they are for sure), and the 150 blades are
duller, but slightly lighter in color and rougher, reminding me of anodized
aluminum (but I very much doubt they would actually be aluminum). Perhaps
that is what plastic blades look like.

For normal photograph use, is there any benefit to having a round aperture?
I know in half-tone work with a sealed half-tone screen, there is a benefit
to having a square aperture, but round holes work OK -- you just get a
little bit of a different transfer function from the original to the half-tone.

Unless you use the lens in the hot sun or something, there might even be a
slight benefit to having plastic iris blades: less likely to rust or corrode.

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Pico - 10 May 2008 13:57 GMT
>> That's quite interesting. I suspect the Rodagon and Componon designs are
>> quite similar although I don't have the actual prescriptions. Since its
[quoted text clipped - 37 lines]
> slight benefit to having plastic iris blades: less likely to rust or
> corrode.
Richard Knoppow - 10 May 2008 16:02 GMT
>> That's quite interesting. I suspect the Rodagon and
>> Componon designs are
[quoted text clipped - 57 lines]
> slight benefit to having plastic iris blades: less likely
> to rust or corrode.

   It appears that the shape of the iris affects out of
focus areas of the image. This is perhaps part of the effect
called bokeh by the Japanese. In any case bright points
which are not sharply focused are rendered in the shape of
the iris. This may not be as noticable for enlarging where a
flat surface is imaged onto another flat surface.
   In making half-tone plates the iris is imaged by the
half tone screen as an array of spots or dots. By using a
square aperture the intestices of the dots are at the
corners so the variation is smoother. For color work each of
the images is photographed using an iris with a
lozenge-shaped aperture at a different angle. I can't
remember now if this is to prevent moir but I think it is.
In any case there is an optimum set of angles for the
apertures. These apertures are usually in the form of
Waterhouse stops and is the reason process lenses usually
have a slot in the side. My barrel mounted Apo-Artars have
the slot but the shutter mounted one does not. The barrel
mounted Artars also have 20 blade irises and a very nearly
perfectly round hole.

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---
Richard Knoppow
Los Angeles, CA, USA
dickburk@ix.netcom.com

Jean-David Beyer - 10 May 2008 16:49 GMT
> It appears that the shape of the iris affects out of focus areas of the
> image. This is perhaps part of the effect called bokeh by the Japanese.
> In any case bright points which are not sharply focused are rendered in
> the shape of the iris. This may not be as noticable for enlarging where a
>  flat surface is imaged onto another flat surface.

> In making half-tone plates the iris is imaged by the half tone screen as
> an array of spots or dots. By using a square aperture the intestices of
> the dots are at the corners so the variation is smoother.

Right, although I find that a round hole is not too bad. But I do halftone
starting with a continuous tone negative (a positive print or other positive
flat art is usually used) and make the half-tone on OrthoLith. These dots
have soft edges (undesirable) so I contact print them onto another piece of
OrthoLith to get a suitable half-tone negative.

> For color work each of the images is photographed using an iris with a
> lozenge-shaped aperture at a different angle.

That might be so, but I never heard that.

> I can't remember now if this is to prevent moir[e] but I think it is.

When my great grandfather (F. E. Ives) devised the process, he angled the
half-tone screen to prevent moire, but AFAIK did not use lozenge shaped
diaphragms.

> In any case there is an optimum set of angles for the apertures.

This is true for the angles of the half-tone screens as well.

In fact an amusing thing happened to F.E.Ives. When he first made color
half-tones, he naturally angled the screens between the different colors. He
did not bother to patent that because it was obvious. Years later someone
else patented the idea of angling the screens and sued Ives. Ives had to go
to court at considerable expense to prove that the patent was invalid both
because it was obvious (kiss of death for patents) and because of over a
decade of prior use.

> These apertures are usually in the form of Waterhouse stops and is the
> reason process lenses usually have a slot in the side.

In any case a slot is needed to set the aperture (square or not) to the
correct angle. This is all about sealed glass half-tone screens, not the
plastic contact screens more recently used. Of course, with a round
aperture, none of this makes any difference.

> My barrel mounted Apo-Artars have the slot but the shutter mounted one
> does not. The barrel mounted Artars also have 20 blade irises and a very
> nearly perfectly round hole.

The 150 mm Componon-S 5-blade iris does not make a geometric pentagon. What
would be straight edges are actually semi-circular convex to the edge of the
lens. I.e., at the "corners" of the iris the diameter is larger than in the
middle of what would be a straight line. In other words, the corners are
farther from the center than would be expected if a true pentagon were used.
This clearly because the iris blades are made that way. It would be
perfectly easy to make them straight if Schneider had wanted to. I assume
this was done for optical reasons and not to make the mechanics cheaper.

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Richard Knoppow - 11 May 2008 22:11 GMT
>> It appears that the shape of the iris affects out of
>> focus areas of the
[quoted text clipped - 91 lines]
> this was done for optical reasons and not to make the
> mechanics cheaper.

   I think you may be right that its the screens which are
made at an angle rather than the aperture, its been too long
since I learned about this stuff and the books are not
handy.
   Soft dot edges have always been a problem. Monckhoven's
intensifier was intended to remedy this. It has the peculiar
property of being both an intensifier and reducer because
the cyanide will dissolve the low density silver before the
intensifier works so the net result is to increase the
contrast of the edges of the dots.

Signature

---
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Los Angeles, CA, USA
dickburk@ix.netcom.com

Jean-David Beyer - 11 May 2008 23:48 GMT
> I think you may be right that its the screens which are made at an angle
> rather than the aperture, its been too long since I learned about this
> stuff and the books are not handy.

> Soft dot edges have always been a problem. Monckhoven's intensifier was
> intended to remedy this. It has the peculiar property of being both an
> intensifier and reducer because the cyanide will dissolve the low density
> silver before the intensifier works so the net result is to increase the
>  contrast of the edges of the dots.

I know F.E.Ives used special treatment of the negatives, and careful control
of their condition for best results. They did not have litho film in those
days. They do now (for a while more, at least), so I make contact prints of
the soft-dot stuff onto another piece of litho film and that makes
hard-dots. Exposure is tricky at first, because if you change the exposure,
you change the diameter of the dots. I make some 50% dots (my densitometer
will measure % dot area) and make the contact prints 50% also -- or pretty
close anyway.

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Nicholas O. Lindan - 12 May 2008 05:33 GMT
> I make some 50% dots (my densitometer will measure % dot area)
> and make the contact prints 50% ...

Brings back memories ... My firm designed a graphic arts exposure
integrator that had exposure adjustment in % dot gain (along with
stops, OD (for step-wedge test results), and straight %).  Then
we designed nuVac for stochastic screening and the hell with
dot-gain.  All about 20 years ago ... the dénouement of analog
pre-press.

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Darkroom Automation: F-Stop Timers, Enlarging Meters
http://www.darkroomautomation.com/index2.htm
n o lindan at ix dot netcom dot com

Jean-David Beyer - 12 May 2008 15:33 GMT
>> I make some 50% dots (my densitometer will measure % dot area)
>> and make the contact prints 50% ...
[quoted text clipped - 5 lines]
> dot-gain.  All about 20 years ago ... the dénouement of analog
> pre-press.

I just use a Macbeth densitometer TD-901 that has a %dot scale.

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David Nebenzahl - 12 May 2008 01:09 GMT
On 5/10/2008 8:02 AM Richard Knoppow spake thus:

>     In making half-tone plates the iris is imaged by the
> half tone screen as an array of spots or dots. By using a
[quoted text clipped - 3 lines]
> lozenge-shaped aperture at a different angle. I can't
> remember now if this is to prevent moir but I think it is.

Yes, the screens are angled to prevent moiré.

By the way, the standard screen angles for 4-color (CMYK) printing are:

  K (black): 45°
  M (magenta): 75°
  Y (yellow): 90°
  C (cyan): 105°

So far as I know, these have been in use as long as 4-color halftone
printing has been around.

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David Nebenzahl - 12 May 2008 01:16 GMT
On 5/11/2008 5:09 PM David Nebenzahl spake thus:

> By the way, the standard screen angles for 4-color (CMYK) printing are:
>
>    K (black): 45°
>    M (magenta): 75°
>    Y (yellow): 90°
>    C (cyan): 105°

Interesting explanation of screen angles can be found at
http://www.dtp-aus.com/hlftone.htm (scroll down to "Screen(#)  Ruling
and Angles").

Interestingly, it's not just a matter of reducing moiré effects; the
screen angles are selected to create "rose" patterns which, apparently,
are the least bad alternative (there will always be some kind of pattern
generated by multiple halftone screens, and this is thought to be the
most pleasing one).

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