“…On the other hand, the topology of the least possible balanced binary reference taxonomy is a rooted caterpillar, as every internal node (and also the root) has one big descendant clade and one small (with only one node) descendant clade. Borrowing the notion of total cophenetic index for phylogenetic trees (Mir et al, 2013) to measure the balance of reference taxonomies, complete binary trees have indeed the minimum value while rooted caterpillars have the maximum value. Notice, however, that the total cophenetic index of the NCBI Taxonomy (Federhen, 2012(Federhen, , 2015 restricted to the standard taxonomic ranks (Kingdom, Phylum, Class, Order, Family, Genus, and Species) is 206,110,330,551, which represents only 0.00032060% of the interval between the minimum value (727,931) and the maximum value (64,288,827,123,576,010) for the number of taxa in the restricted NCBI Taxonomy.…”