SAKryukov

::::: Thank you! Perhaps I can see some (potential?) weak points in your arguments. First, you don't explain your understanding of "proper". You need to understand one fundamental thing, something usually beyond the comprehension of most people, except those with certain backgrounds: the ''scope of applicability". If you make some statement insisting on the application of any principle, you have to know its scope. In theory, it's very typical when the scope of applicability is unknown at first (is considered more universal than it actually is), so the limitations of the scope comes into play only when a more general theory is accepted and proven. (Let me give you one example: one theorist and microtonalist claimed that 31-EDO I presented to him makes no musical sense, because, say, ♯C is lower than ♭D, which is an "absurd". I argued that this is merely my notation, and his problem is that he is implicitly using the notion of accidentals, but the applicability of the notion itself may be out of the scope in the microtonal scope, or at least it needs to be proven.) Another problem I can see is that you may underestimate the power of ''small'' natural number N/D in rational-number intervals. Indeed, as this power is based on the physics and physiology of perception, the ''quality'' of the resonator comes into play. Taking it into account, you may face the situation when two intervals like 32/27 and 77/64 are clearly recognized as different melodically, but make no difference to the sense of the harmony, only because 77 and 64 are pretty big, and their small prime factors don't make a big difference.