This page and its companion pages discusss the macro abilities of the Sony RX100 M1. Although the camera has a macro mode (allowing shots from 5 cm), I would not call these photos "macros" and therefore use the term "close-up."
This page calculates the magnification of the Sony RX100 M1 and presents sample photos that demonstrate its close-up abilities.
Note: The following post on RX100 Macros (09-11-2012 05:42 PM) community.sony.com/t5/Cybershot-Cameras/RX-100-Macro/td-p/28896 offers a lot of useful information about using the Sony RX100 M1 for macros. For more close-up photos see pages Close-Up Samples and Close-Up Samples - Part 2.
Ricoh's small sensor cameras, including the GRs, are extremely good macro shooters. The Ricoh R and CX series as well as the Ricoh GXR S10 and particularly, P10 camera units demonstrate what is possible (see elsewhere on this site). Having a 1" sensor (size: 13.2 x 8.8 mm), the Sony RX100 M1 cannot really compete with these small-sensor cameras. On this page, I calculate the cameras magnification, look how it fares in comparison to the Ricoh CX4, and provide some sample close-up photos.
Sony does not disclose the maximum possible magnification for the RX100 M1 in macro mode. I took a few test shots (see some examples below) with both AF and manual focus (both led to about the same result) and found a minimum object width of about 8 cm (object height is 5.7 cm for an 3:2 image format) at the wide angle end (object distance is about 5 cm).
The following informal photo is an example shot using stamps (similar ones as I used for the Leica X Vario)
Photo: Horizontal section of test photo. The stamp is 3.9 cm wide, which results in a horizontal minimum distance of about 7.5 cm in this example. This is a little bit less than the usual 8 cm for the minimum width.
The following informal photosshow two rulers, the first two using autofocus, the last two using manual focus (note the cushion distortion in the photos):
Photo: Horizontal sections of test photos. All photos indicate a minimum width of about 8 cm (sometimes less, sometimes more - due to imprecise alignment of the camera)
The above data allows me to calculate the maximum magnification for the Sony RX100 M1 (adopted from dkpeterborough, L-Camera-Forum):
This result is not impressive, but for close-up shots of flowers the close-up abilities of the Sony RX100 M1 are still useful, as the samples below (will) demonstrate.
Please note that the minimum object distance increases dramatically with focal length, reaching 55 cm at an equivalent focal length of 100 mm. Thus, you can only sensibly shoot close-up (or "macro") photos at a focal length of 28 mm equivalent, that is, at the wide end of the focal length range.
The Ricoh CX4 has 10 Megapixels (3648 x 2736 in 4:3 format), whereas the Sony RX100 M1 has 20 Megapixels (5472 x 3648 in 3:2 format). Since the pixels are even a bit larger than those of the CX4 with its 1/2.3" sensor, one might ask what effect would result from cropping the Sony's images to 10 Megapixels (3888 × 2592 in 3:2 format). The minimum object size would have to be multiplied by a factor of 3888/5472 = 0.71
If I would calculate a "fake magification" from this (thus, still refer to the original sensor size), I would get an "effective magnification" of 0.23 or 1:4.3. But now, only half the pixels of the sensor are used.
Later, I will also investigate how much you can scale up Sony RX100 M1 images until they reach a similar (= lower) image quality as the Ricoh CX4 images.
10 MP crop of the photo above