This discussion is oriented to the analysis of the mathematical foundations of music.

This discussion is oriented to the implementation of new scales --not based on the octave concept-- by using electronic devices or music software.

This discussion is oriented to the analysis of this very simple arithmetical operation, which is the base for the generation of high-order root approximation methods. This operation does not appear neither in the literature nor in any math texts.

This discussion is oriented to the analysis of new high-order arithmetical methods, and their comparision with other known algorithms. It also spans the history related to Root-approximations.

This discussion is oriented to the analysis of the new Generalized Continued Fractions and their connection to the Rational Mean. The discussions also spans the simple and general continued fractions and their connection to the particular case of the Mediant.

This discussion is oriented to the construction of a new scheme of quantity that differs from the cartesian system, and is based on the Rational Mean, the intelligible nexus to Number.

This discussion is oriented to the analysis of crypto coins and their interesting behavior in the ecosystem.

Analysis on the new social-economic ideology: The Recognitionism. A new proposal.