Pilotrichum ramosissimum (syn. Callicosta r.)
Venezuela, caribic coastal mountains, way to Pico Guacamaya, 1500 m, cloud forest, epiphytic on liana, leg. M. Lüth 3366, 2001
difficult group, ID not 100% sure

Phyllogonium viscosum (P. Beauv:) Mitt.
Venezuela, caribic coastal mountains, way to Pico Guacamaya, 1500 m, cloud forest, hanging on a twig, leg. M. Lüth 3370, 2001, det. Alfons Schäfer-Verwimp

Isodrepanium lentulum (Wils) Britt.
Venezuela, carribean costal mountains, at way to Pico Guacamaya, cloud forest on peak, on rotten trunk, 1500 m, leg. Lüth 2001, 3369
det. Alfons Schäfer-Verwimp

Leucobryum giganteum C. Müll.
Venezuela, carribean costal mountains, at way to Pico Guacamaya, cloud forest on peak, on soil between Gneis rocks, 1700 m, leg. Lüth 2001, 3352

Thamniopsis undata (Hedw.) Buck
Venezuela, carribean costal mountains, at way to Pico Guacamaya, cloud forest on peak, on rotten wood, 1500 m, leg. Lüth 2001, 3348, det. A. Schäfer-Verwimp

Pelekium involvens (Hedw.) Touw
Venezuela, W-Llanos, Forestal Reserve Caparo, rainforest, on tree trunk, 140 m, leg Lüth 3327, 2001
Perichaetal leaves without ciliae

Pireella pohlii (Schwaegr.) Card.
Venezuela, W-Llanos, Forestal Reserve Caparo, rainforest, on tree trunk, 140 m, leg. Lüth 3326, 2001
det. Alfons Schäfer-Verwimp

Calymperes serratum var. subulatum (E. B. Bartram) L. T. Ellis
Venezuela, western Caribbean coastal cordillera, way to Pico Guacamaya, cloudforest, on deadwood, 1500 m, leg Lüth 3350, 2001
This taxon is well described in JB 42/4 2020. Maybe first record for Venezuela.

Calymperes nicaraguense Ren. & Card.
Venezuela, W-Llanos, Forestal Reserve Caparo, rainforest, on bark of tree, 140 m, leg Lüth 3325 2001, det. Alfons Schäfer-Verwimp

This work I do under an old stereo microscope (Wild from Switzerland) with 10-40x magnification. For the tweezers I use the Nr. 5 from DUMONT, also Switzerland. For the tiny leaves just strip of some and choose the best.

Pelekium (Cyrto-hypnum) schistocalyx (C. M.) Buck & Crum
Venezuela, W-Llanos, Forestal Reserve Caparo, semi-humid rainforest, epiphytic on tree trunk, 140 m, leg Lüth 3321, 2001
Very small size, pluripapillose leaf cells and ciliate perichaetial leaves.

Pseudocryphaea domingensis (Spreng.) Buck
Venezuela W-Lanos, Forestal Reserve Caparo, semi-evergreen rainforest, epiphytic on bark of tree, 140 m, leg. Lüth 3323, 2001
det: Alfons Schäfer-Verwimp
characteristic are the small brood branchlets (Bt) in leaf axis

Thanks for the question. I made a picture plate of a moss from my old moss collection from the Neotropic 2001.
Btw your blanket/carpet will get very beautiful.

Beautiful picture. The moss with the sporophytes is Ptychostomum capillare, the creeping one Hypnum cupressiforme. Unfortunately no Bonfire.

Breutelia tomentosa (Sw. ex Brid) Jaeg)
Venezuela, Andes, Merida, way to Laguna Coromoto, upper cloud forest, on wet soil over rock, gneis, 2500 m, leg. Lüth 3319, 2001
Remind in microscopical characters to B. subarcuata, but differs in only 2-3 inflated alar cells.

Caribaeohypnum polypterum (Mitt.) Ando & Hig.
Venezuela, Andes, Merdida, way to Lagunn Coromoto, upper cloudforest, hallfshadow soil over rock, gneis, 2500 m, leg. Lüth 3315, March 2001

Pilotrichella flexilis (Hedw.) Angstr.
Venezuela, Andes, Merida, surrounding Laguna Coromoto, upper cloud forest, pendent from branches of trees, 2500 m, leg M. Lüth 3314

I make the photos, this is a electronic kind of "permanent slide", because I always can look at them easily.

Rhodobryum huillense (Welw. & Duby) Touw
Venezuela, Andes, Merida, surrounding Laguna Coromoto, Upper cloud forest, on rotten stump, 2550 m, leg M. Lüth 3313
Looks a bit like R. grandifolium, but plants and leaves are much smaller.

I do not know exactly, what you want to know. I just use water to work with the microscope. But what is mounting medium?

Rhodobryum grandifolium (Tayl.) C. Müll.
Venezuela, Andes, Merida, surrounding Laguna Coromoto, Subparamos, on open humose rock, gneis, 3000 m, leg M. Lüth 3305

Very nice landscape with a lot of bryophytes. I think L. cupressina is quite common in that region. Perhaps it is overgrown here from one of the big pleurocarp moss. But it will come at another place again.

Beim Hineinfassen aber bitte nicht zerstören. Das Polster ist vermutlich Jahrzehnte alt.

Du wirst sie schon begeistern! Da hab ich keine Bedenken...

Grimmia austrofunalis Müll. Hal.
Andes, Merida, sourrounding of Laguna Coromoto, Subparamos, on open rock, gneis, 3000 m, leg 2001 M. Lüth 3302
Stem without central strand, costal cells mostly uniform, hydroids lacking, big and somewhat glossy plants

Bartramia microstoma Mitt.
Andes, Merida, on way to Laguna Coromoto, open part in cloud forest, on steep slope, at 2700 m, leg 2001 Lüth 3300
Reminds to a small B. itiphyllum, but with different shape of leaf base and has firm though pellucid cells at shoulder margins.

Atractylocarpus longisetus (Hooker) Bartram
Andes, Merida, on way to Laguna Coromoto, cloud forest, on root of tree, at 2500 m, leg 2001 Lüth 3297
Unlike to Campylopus with costa smooth at back.

Porotrichum lancifrons (Hampe) Mitt.
Venezuela, Andes, Merida, way to Laguna Coromoto, cloud forest, on tree trunk and root, 2500 m, leg. 2001 Lüth 3295.
Characterized by well-developed stipe and strongly appressed hyalin stipe leaves.

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Tortula andicola Mont.
Venezuela, Andes, Merida, Pico Espejo near Pico Bolivar
Polylepis forest on boulder slope at 4200 m, leg 2001 Lüth
Characteristic are the collenchymatous leaf cells and some sharp teeth at the base of the awn.