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Re: [OM] "bellows factor" redux (more)

Subject: Re: [OM] "bellows factor" redux (more)
From: "John A. Lind" <jlind@xxxxxxxxxxxx>
Date: Sun, 29 Sep 2002 14:06:24 -0500
Mike,

For the 80/4 bellows lens, the equations also need similar modification, but they are different:

(1) When using the telescoping auto-tube, add 51mm to the tube marking
  Ae = A * [(51 + x + y) / 80]
    Ae = effective lens aperture
    A = lens aperture marking
    x = telescoping auto-tube index mark
    y = further extension from lens focusing helical
Note: this *only* works for the telescoping tube with the 80/4 bellows lens!

Thus, if the the tube is set to 69mm and the lens helical is fully retracted (system of tube plus lens focused at infinity), the effective aperture wide open is:
  Ae = 4 * [(51 + 69 + 0) / 80]
  Ae = 4 * (120 / 80)
  Ae = 6

If the telescoping auto-tube is fully extended to 116mm and the lens helical is also fully extended (approx. 9mm on the 80/4), this is maximum magnification for the system of tube plus lens and the effective aperture wide open becomes:
  Ae = 4 * [(51 + 116 + 9) / 80]
  Ae = 4 * (176 / 80)
  Ae ~= 8.8

If using the bellows, the equation becomes:
  Ae = A * [(18 + x + y) / 80]
    x = bellows rail index mark
    Note:  this *only* works for the bellows with the 80/4 bellows lens!

Exposure corrections:

If:
  Ae = A * [(51 + x + y) / 80], then
  A = Ae / [(51 + x + y) / 80]
This finds the lens aperture marking to use to obtain a specific effective aperture.

To adjust shutter speed (exposure time), multiply the non-TTL metered shutter speed by
  [(51 + x + y) / 80]^2
    This is the square of the factor used to adjust aperture.

Magnification of subject at critical focus distance on film is:
  M = [(51 + x + y) / 80] - 1

Thus, the maximum magnification you can achieve at minimum focus distance with telescoping auto-tube fully extended to 116mm and the lens helical completely extended (approx. 9mm) is:
  M = [(51 + 116 + 9) / 80] - 1
  M = (176 / 80) - 1
  M = 1.2X
    This is approx. 120 0fe-size.

-- John


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