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1.4x Magnification Rule?

Discussion in 'General Astronomy Chat' started by Mak the Night, Jan 30, 2017.

1.4x Magnification Rule?

Started by Mak the Night on Jan 30, 2017 at 8:22 AM

71 Replies 10109 Views 1 Likes

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  1. Mak the Night

    Mak the Night Well-Known Member

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    Does anyone know the origin of, or the rationale for, the 1.4x magnification gradation rule of thumb?

    I know it is a general series of systematic stages or gradual progressions in eyepiece magnification. One theory is that it is only until about a 1.4x increase in magnification is achieved that it is at all noticeable enough to be different.

    Although focal ratio, exit pupil and aperture size are also large contributing factors for eyepiece magnification choices.

    It would make sense to me to have a range extending from the largest useful exit pupil for a specific scope to about a 0.5mm one. Depending on the type of telescope, the largest useful exit pupil could be anything between 7 and 5mm, I suppose.

    A 40mm Plossl gives me 22.5x for a 5.7mm exit pupil on my 13cm (5.1”) Newtonian. If the useful lowest magnification rule of thumb is around 4x the aperture size in inches, it gives me 20.4x as a bare minimum (without seeing the obstruction). Who makes all these rules? lol

    TV40AH6.jpg

    A 6mm orthoscopic (with a 2x Barlow) gives me 300x for a 0.43mm exit pupil. These are the lowest and highest useful magnifications on my 13cm Newtonian. I use 300x quite often for lunar viewing but to be honest I very rarely use anything longer than a 25mm eyepiece (36x) for low power viewing.

    Using the 1.4x rule though I would expect a series of nine magnifications approximately like this:

    22.5x, 31.5x, 44x, 62x, 86x, 121x, 169x, 237x, and finally 332x.

    332x is definitely pushing it with a 13cm Newtonian. I have accidentally viewed the Moon at 337.5x with it, and apart from being a tad darker, it wasn’t a bad image. But I only did this because the TeleVue 3x Barlow and the TeleVue 2.5x Powermate look so similar in the dark! In reality I use a selection of high magnifications around 180x, 261x, 280x and 300x for lunar/planetary. For most DSO's I use a 19mm Panoptic and a 14mm Baader Morpheus for 47x and 64x respectively.

    Baadertwins.jpg

    These Baader Eudiascopics will give me a range of between 67x and 376x on my 235mm SCT (10mm EP with 2x Barlow element threaded directly into it). Theoretically, using the 1.4x rule, I would want eyepieces giving me a range of 67x, 94x, 131.5x, 184x, 258x and 361x for the SCT (361x gives me an 0.8mm exit pupil).

    Just some food for thought.
     
    Last edited: Jan 30, 2017
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  2. Ed D

    Ed D Well-Known Member

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    I have no idea where the 1.4x rule or any of the other rules I have encountered originated. I have found that for my lower power observing more than 1.4x seems to be noticeable and useful. However, as magnification creeps up, such as when observing planets, I prefer smaller increases.

    I have also noticed that when using my long focal length Maks, small differences in eyepiece focal length give very noticeable magnification increases. In my short focal length refractors, larger differences in eyepiece focal length don't seem to give quite as much of a noticeable difference.

    Ed D
     
  3. Mak the Night

    Mak the Night Well-Known Member

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    Yes, I tend to agree. I often use quite subtle increases on long focal length catadioptrics. Especially for often changeable lunar viewing conditions, where I can alternately increase and decrease as conditions allow. The same goes for planetary targets, particularly Jupiter, where conditions are a very important factor in perceiving detail. On my ST80 (f/5, 400mm f/l) I basically only use two or three magnifications. 170x for lunar/planetary and between 21x (19mm Panoptic) and 50x for everything else lol.
     
  4. jgroub

    jgroub Well-Known Member

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    I think the "rule", as it were, is just a simple function of how we humans perceive things. For example, decibels are a logarithmic scale used to measure sound. Every 10 decibels is double the sound energy as 10 decibels less. In other words, 50 decibels is twice as loud as 40; 100 is twice as loud as 90.

    The same is true of brightness, which is why we measure magnitude the same way - logarithmically. 1st magnitude is approximately 2.5x brighter than 2nd, etc., such that as between 1st and 6th magnitude, there is a difference in brightness of ONE HUNDRED times.

    The human brain compresses these huge differences, both in sound and in brightness, so that they are not quite as noticeable as you would otherwise think them to be. This is why when they say something like that a 6" scope collects 44% more light than a 5" one (or something like that), it's just not that big a deal. That's not even a third of a magnitude. And I think the human brain compresses differences in magnification, too.

    Me, I never heard of this 1.4x magnification "rule" before until I read this post. But I would put it at more like 1.6x. I have both a 32mm and a 25mm Plossl. I use the 32mm all the time, as it gets me just about the widest field of view possible in my Mak at 48x. But I never use the 25mm in my Mak to go to 62x. That's just short of a 1.4x jump. Why don't I? Because 1.4x doesn't do it for me. I'm just not seeing that much more when I go from one to the other.

    But a 1.6x jump - to 77x - well, now you're talking. That's significantly larger, more detail. It's quite noticeable, where the 1.4x jump isn't. In my Mak, that would be a 20mm eyepiece.

    I recently got a 24mm ES 68, which I'm thinking about using in place of my 32mm Plossl, because the 24 gives me a smidge wider field of view than the 32, having to do with ES pushing out the field stop to as wide as it can go in a 1.25" EP - just like your 35mm Eudiascopic. Going from the 24mm at 64x to my 15mm Paradigm at 103x is a nice, noticeable jump - and is almost exactly 1.6x difference.

    Another example is at the higher end. I have a nice 12.5 mm ortho at 123x that I use to start out with some high-powered lunar/planetary observing. From there, I go to an 8mm TeleVue at 193x. That's just short of a 1.6x jump. And that jump makes a big, very noticeable difference in the detail I'm seeing.

    When the seeing is good enough, I'll take the TeleVue out (193x), and Barlow the ortho for 246x. Even though it seems like a large jump in terms of the magnification numbers, the magnification, visually, it's just not that big of a difference, really - because it's just short of a 1.3x jump. And that difference isn't enough for the brain to go "Wow, that's much bigger than what I was just looking at!"
     
  5. Mak the Night

    Mak the Night Well-Known Member

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    Yes, I’m sure the ‘rule’ is based on perception. A lot of these seemingly ad hoc rules are based on subjective observation comparisons and a possible need to quantify or qualify them into some rational or logical system. I’ve read that magnifications that increase or decrease incrementally by around 1.4x are generally the most readily recognised by most people.

    It’s interesting that you say that 1.6x is probably a more noticeable change as that is often quoted as an alternative to the 1.4x 'rule’. I believe there’s even a 1.5x rule school of thought as well lol.


    The Eudiacopic 10 and 35mm have 44.4° and 45.6° FOV respectively, although the 35mm delivers the largest possible true field for a 1.25" (31.7mm) eyepiece, not unlike the TeleVue 32mm Plossl and 24mm Panoptic (which I also have). The 35mm Eudiascopic also has a huge eye lens which compensates in some ways for the slightly smaller FOV. In use, the Panoptic really only gives me around one and a half arc minutes more TFOV, yet I seem to notice it much more. I think the 24mm Panoptic is still the best selling eyepiece TeleVue have made to date.
     
  6. Gabby76

    Gabby76 Well-Known Member

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    I have noticed that a lot of eyepiece series are in 1.4, 1.5 or 1.6x jumps.
    When working out a set for a new scope I will use 1.5 and 1.6x normally.
    You usually end up with a set that overlaps enough that you do not need a barlow and using the other gives you enough gaps to then include a 2x barlow.
     
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  7. Mak the Night

    Mak the Night Well-Known Member

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    The TeleVue Plossl series seem to be roughly 1.4x apart (8, 11, 15, 20, 25, 32, 40mm) as do others. I suppose it's just a logical step in magnification. Most people (including myself) seem to prefer smaller magnification increases as the magnification gets higher. For instance, with my 130mm scope I can often tell the difference between 300x and 281x whilst lunar viewing when I've had to change magnification due to conditions.
     
  8. Gabby76

    Gabby76 Well-Known Member

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    I agree that the jump is noticeable. My planetary set goes from 3.8-8mm in roughly 0.5mm steps which give about 30x mag difference. From 8-28 they are in steps giving me the same mag difference.
     
  9. Mak the Night

    Mak the Night Well-Known Member

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    I think the jump is more noticeable, and probably makes more difference, at high magnifications rather than lower ones.
     
  10. Gabby76

    Gabby76 Well-Known Member

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    With my planetary eyepiece set (0.965" & 1.25" Orthoscopics)
    As you can see there is a 20x jump just between the 3.8mm and 4mm eyepiece so small increments can make very large differences.
    After 8mm using full focal lengths give the same jump until 12mm. After that it is about 20x which is more subtle and depending on conditions you can start jumping 2-3 focal lengths at a time.
    3.8mm - 0.47mm/ 316x
    4.0mm - 0.5mm/ 300x
    4.4mm - 0.55mm/ 273x
    5.0mm - 0.63mm/ 240x
    5.4mm - 0.68mm/ 222x
    6.0mm - 0.75mm/ 200x
    6.4mm - 0.8mm/ 188x
    7.0mm - 0.88mm/ 171x
    7.4mm - 0.93mm/162x
    8.0mm - 1mm/ 150x
    The 0.4 f/l jumps are for maximizing what the atmosphere is allowing you to see.
    I like going after as much detail as possible on targets :)
     
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  11. Mak the Night

    Mak the Night Well-Known Member

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    That looks like an excellent set-up.
     
  12. Gabby76

    Gabby76 Well-Known Member

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    Thanks, it has taken a few years and a shameful amount of $ to put the set together though the full set goes from 3.8- 28mm.
    I forgot to mention that those exit pupil and magnifications are with my 150mm f/8
     
  13. Mak the Night

    Mak the Night Well-Known Member

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    You can never have enough good orthoscopics lol.
     
  14. Gabby76

    Gabby76 Well-Known Member

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    I like the way you think!
    Very true, I love a good Orthoscopic. It is sad that the only really good ones being made right now are the Takahashi Abbe and the Fujiyama HD.
     
  15. Mak the Night

    Mak the Night Well-Known Member

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    I have a Kokusai Fujiyama 7mm.

    unbork2.jpg

    And some assorted Astro Hutechs: 6mm, 18mm and a pair of 25mm.

    6mmahortho.jpg
    AH 18mm Ortho.jpg
    AH 25mm.jpg

    I do have some Baader BCO's as well. I had more Astro Hutech EP's at one time, but these are the only ones left working. I'm pretty sure the Hutechs and the Fujiyamas originate from the same workshop in downtown Tokyo. I haven't seen any Takahashi orthoscopics for a while. I was using the 18mm AH (third jpeg) to view the Moon last night.

    5 pairs 3 GPC.jpg

    The 25mm pair is for my WO bino.

    binobox.jpg

    The main criterion is that they all fit into this box lol.
     
    Last edited: Feb 8, 2017
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  16. Gabby76

    Gabby76 Well-Known Member

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    The Baader "Genuine" ortho was made by the same company, the "Classic" is made elsewhere. I cannot remember offhand.
    The BCO according to Baader uses Schott glass and the Fujiyama uses the equivalent Hoya glass.
    Do you find the BCO a touch soft at the edge with the wider AFOV?
     
  17. Mak the Night

    Mak the Night Well-Known Member

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    I think the BCO's only have a sharp definition for about 43° like virtually all Abbe orthoscopics but Baader add about 7° FOV to help with target location.

    After having a couple of 6mm BCO's in succession develop problems with rubber debris being deposited on the eye lens surface I swapped them for a 6mm Vixen NPL. The 6mm BCO drawtubes now adorn a couple of Celestron Plossls.

    Baadertron Pair.jpg
     
  18. Gabby76

    Gabby76 Well-Known Member

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    I remember reading a post by BillP that he had said the field stop had been moved in the BCO to give it the 50* FOV but it made it quite soft at the edge. I have not tried the BCO but they seem to have a good following.
    The majority of my orthos are between 30-45* so 50* is extravagant!
    The .4mm orthos I have are the Siebert Optics StarSplitter 3 series and are quite nice and 60* AFOV.
    I believe they are a reversed Kellner like the Brandons.
     
  19. Mak the Night

    Mak the Night Well-Known Member

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    That could explain how the 50° FOV is achieved. I like the BCO’s but there are a few things that I don’t like so much. In use they give decent views, but I’m not a huge fan of the winged eyecups and the dust caps are ill fitting. I was still disappointed when I had two 6mm BCO's bork in a row though. It makes me wonder if the same thing will happen to my 18mm and 32mm bino pairs. The 32mm BCO's are actually Plossls with a slightly smaller FOV.

    WO bino Baader 32mm.jpg

    They're nice and light for the bino though. With the eyecup extenders on the long eye relief is easier to manage.
     
  20. Gabby76

    Gabby76 Well-Known Member

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    I know a few people that have the 18 and 32mm and they like them. The 10mm seems to be the favorite with people.
    I suppose I should borrow a set when I get home and give them a try.
    I prefer regular eyecups to the winged ones or to not use them at all depending where I am viewing from.
     

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