Godtone

<li>In the case that we consider 11/9 and 16/13 as approximate fifth-complements, this clearly creates quite a precise distinction, and we thus must add at least 2 more distinctions in the spectrum. There is quite a large gap between subminor and minor or between major and supermajor, so adding some middleground subtly different from 12 EDO minor and major would be fitting, as the most basic minor and major are traditionally 5-limit and are closer together than in 12 EDO. For this purpose we will consider 12 EDO on its much more accurate "19-limit" (and in that sense "novemdecimal") 2.3.17.19 subgroup, thus creating a rather familiar "noveminor" and "novemajor" (short for novemdecimal), which, at least in the case of thirds, can be equated with "Pyth minor" and "Pyth major" due to identification by (81/64)/(24/19) = 513/512 (with 24/19 as the fifth-complement of the harmonic minor third of 19/16), leaving two options for the expression of this category depending on which makes more sense for a temperament. Then we will consider - if needed, optional additional/finer categories between noveminor and subminor and between novemajor and supermajor. These "new" and "subtly exaggerated from familiar" categories I think fit with the prefix of "neo" and can be considered represented by 13/11 and 14/11 which again can be equated with a sharp 3/2 through identification by (13/11)(14/11)/(3/2) = 364/363 and again creates an interesting link between the 11th and 13th harmonics. Then even subtler versions of the usual major and minor categories can be added - subtle in the sense of closer to but distinct from neutral - these are supraminor and submajor. Finally, for completeness, even more extreme versions of subminor and supermajor can be added that push into the "neither major nor minor at all" territory; these are ultraminor and ultramajor. The final list looks like this:<br/>

ultraminor, subminor, neominor, (pyth) noveminor, (classic) minor, supraminor, (minor or sub-)neutral, (major or super-)neutral, submajor, (classic) major, (pyth) novemajor, neomajor, supermajor, ultramajor.

Note that overall, I think while measuring intervals relative to 12 EDO is useful initially, this should not be the final way of measuring them. Instead, I believe different intervals should be considered like "colours" or "flavours", of which 12 EDO's intervals are (approximately) one type, and that these new terms (or whatever terms you prefer) should eventually be more natural a musical language than comparison to 12 EDO which causes a variety of intervals to be used similarly due to a 12 EDO mindset, rather than distinguishing them as unique categories not subservient to other categories. This also makes me more open to larger EDOs which provide more distinctions, however, I have relatively high standards for large EDOs, as a large number of tones is something that needs to be quite seriously justified in my opinion.