I never said anyone is wrong.
Also, let's keep in mind that the current "standard" notation system has been here for almost a millenia now (although in a slightly different shape, mainly for singing movements around 1017).
Music has been around long, long before that.
Saying an interval is a "major third" or "consonant" or a "fourth" does not change the character of its sound in any way. They just come from different reference 'points of view' or in Physics - inertial frame systems (or subsets in Math).
In that sense the 12-tone (chromatic) scale is the greatest set. All the rest are subsets or derivatives.