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I'm not very sophisticated about rose anatomy, but with the big clusters of flowers, great size of plant, shinier leaves in comparison to other damasks, and location where it's partly naturalized in Iran, doesn't this seem like a hybrid with R. moschata? Are there any botanical characteristics which provide a firm conclusion for or against?

Available from - High Country Roses
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Available from - Antique Rose Emporium
https://www.antiqueroseemporium.com/