User talk:R-4981/Redbull

Theory

About this part: “Most of the notes on this scale are irrational numbers in both cent and frequency units, so Redbull cannot be reproduced with an edo. Also, since there is no interval that can be called a generator, it is also impossible to approximate Redbull with a mos scale.”

If one is expected to mainly use finite scales of this kind, then that’s not true because one doesn’t need to have one-to-one correspondence between steps of a scale and all steps of scale that tries to approximate it, so leftover steps of MOS or an edX are okay. On the other if one uses the full scale with countably many steps then this would of course be true, but using this full scale is practically impossible. So the question would be: how much is it self-evident which finite fragment suffices for a given composition task, because if it’s likely to be pretty evident, the property of not being approximable with an edo or a MOS scale would become formalistic.

Like, one can say that the golden ratio is irrational, but also it’s pretty close to, say, 34/21 for many purposes (beating of ϕ with 144/89 at ~6 kHz is seconds), and sounds very much like so—though it has its differences. (At 200 Hz, 34:55 has for me virtually all qualities of 1:ϕ sound, even 13:21 being very close in quality right after 8:13 which feels absolutely like JI, with strong locked feel.) This example went out of control because I went on investigating boundaries lol. --Arseniiv (talk) 13:09, 13 December 2023 (UTC)