Redressing grievances with the treatment of dimensionless quantities in SI

The proposed resolution is to extend quantity calculus to discern different kinds of dimensionless quantities as well as it currently discerns different kinds of dimensional quantities. The extended system provides a formal interpretation of commonly-used workarounds in terms that are compatible with SI. Should the extended quantity calculus become accepted by consensus in the future, a guide to its use would expand the set of references provided by the Joint Committee for Guides in Metrology (JCGM), which currently lacks a definitive reference on quantity calculus.