75/4 EL Nikkor Notes: Nikon rates its 75 mm f/4 N EL-Nikkor for a maximum of 6 x 6 cm coverage (48º coverage angle). Nikon doesn’t intend it for 6 x 7 and larger negatives.
That, and the 50 mm f/4 are both 4-element 3-group Tessar design—not the more sophisticated 6-element 4-group Double Gauss design of the rest of the EL-Nikkors and most other high-grade enlarging lenses regardless of the maker.
https://galerie-photo.com/manuels/el-nikkor-enlarging-lenses.pdf
Regarding Post #1: The original problem was to make a 4” x 6” borderless print from a 6 x 7 cm negative. The print size in millimeters is 101.6 mm x 152.4 mm.
I use the dimensions of the Mamiya RZ67 for the size of the image recorded on film: 56 mm x 69.5 mm.
The print size has aspect ratio 3:2. The largest 3:2 rectangle contained in the negative is 46.3 mm x 69.5 mm. This disregards the moderate edge cropping that occurs when using a glassless negative carrier.
The required magnification is m = 101.6 mm/46.3 mm = 2.19X (same as 152.4 mm/69.5 mm).
I use the 105 mm f/5.6 EL-Nikkor for this example since I have the data at hand. Its focal length is f = 105.5 mm.
The subject distance (negative to first nodal point) with a 105 mm lens is 152.9 mm at 2.19X.
The flange distance of the 105 mm f/5.6N EL-Nikkor is 100.5 mm. This places the first nodal point 5.0 mm forward of the flange.
I measured the distance from the negative to the bottom surface of a flat lens board on my Beseler 23CII when the focusing bellows were fully extended (lens stage against the bottom stop). It’s approximately 143 mm. That places the first nodal point about 148 mm from the negative.
Focusing is impossible with the 105 mm lens on a flat lens board at the indicated 2.19X magnification as the subject distance (negative to first nodal point) needs to be 152.9 mm.
Beseler makes a 5/8” (15.9 mm) extended lens board #8029 that would provide the necessary extension. Unfortunately, these are expensive if bought new.
https://www.bhphotovideo.com/c/product/4525-REG/Beseler_8029_39mm_Lensboard_with_5_8.html
They might be found more cheaply in used condition on, say, eBay. I think using one of the 80 mm lenses noted in Post #16 is a more practical solution. Or you could fabricate one using an existing flat lens board.
Regarding the comment at the bottom of post #12
“I looked at the 23C manual linked by mshchem before posting, and it says you should be able to do a 1:2 enlargement with a 23C and a 105mm lens.”
The 23C manual has the note below the focal length/magnification table:
“These magnifications are obtained by mounting these lenses in the extension cones available as accessories.”
The 23CIIXL manual specifies the use of the #
8029 5/8-inch Extended lens board. The #8029 works properly on Beseler 23C, 23CII, and 23CIII models for 105 mm lenses.
http://www.jollinger.com/photo/cam-coll/manuals/enlargers/beseler/Beseler_23C_II.pdfsss
If you choose an 80 mm f/5.6N EL-Nikkor at 2.19X, the subject distance is reduced to 116.8 mm, well within the bellows range of the Beseler 23C enlarger.
I don’t believe that the image quality of the projection is compromised in any meaningful way when the print is only 4” x 6”.