It would be really helpful if I could find Harrach pattern number 688 or 588 to check.
Presumably the pattern numbers for this period do exist so maybe one day it will surface.
What I am most surprised by is that I can find no marmoriertes in the Harrach(From Neuwelt to the Whole World, 2012) book , or the Truitt's book (1880-1940 , 1995) to compare to, despite the Truitt's book containing a double page spread of Loetz marmoriertes vases.
Unfortunately, Brian hasn't returned to the thread with any comment from his visit to Harrach of two years ago and the two vases you very kindly showed from your pictures don't match mine in shape or colour.
I'll continue to keep looking and post if I find any matches.
edited to add:
Just thought I'd add some other links from CW that show the variations, so others who don't have the books can see some examples:
1)This pair have been id as Loetz Malachite and have white decoration on the rim that reminds me of mine, it looks as though it has gilt outlines to the white as though the white might have originally been gilded and mine has this as well:http://www.collectorsweekly.com/stories/103406-pair-of-malachite-loetz-marmoriertes
2) In the right hand picture on this thread, the vase on the very left with the large collar decoration has white enamelling flower and leaf design that is remarkably similar to mine. Is that identified as a Harrach vase?http://www.collectorsweekly.com/stories/100197-loetz-carneol--all-shapes-and-sizes
from CW a group of Loetz pieces on the left, Loetz in the middle 2 and on the right a group of Harrach pieces. However there seems to be a post at the bottom of that thread where the poster Steve says 'Hi Warren
Have the middle piece in photo 4 (pink/blue/brown with ? Hellenic key) with one of the characteristic Islamic Loetz finishes (IV/103 I think) ... and I also think there is one amidst the Carneols in Passau ...
Is that one in question? or do I not understand the posters point and to what he is referring, which is entirely possible?
A Loetz Carneol vase with minimal decoration around the neck
This one has a polished pontil mark