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The octaves are important- as Exchemist has explained. If two notes are in harmony then the octaves above them will also be in harmony. The division of the octave into 5, 8 or 12 (or more) is arbitrary and largely cultural. Having said that, there does seem to be something about the pentatonic scale that people all seem to "get".

Surely the point about octaves is that if you double the frequency you get something that resonates with the fundamental. And if you double it again, the same occurs. So doubling has a real significance, both from the point of view of physics and from the point of view of the hearer. In fact, when you play a certain pitch on any instrument, you also excite a whole series of so-called "overtones" at the same time, which are frequency multiples of 2, 4, 8 etc above the fundamental. You also get a sort of resonance at the fifth of the scale. It sounds, well, harmonious. Whereas if you play 2 pitches that are only a tone, or semitone, apart, you get no resonance but a harsh sounding beat frequency as the two pitches go in and out of phase with one another. So I do not think it is just a matter of convention. Doubling the frequency has a physical significance that the ear recognises.

In general, [tex]x^2= a^2[/tex] has two solutions, x= a and x=-a. But if [tex]x= \sqrt{a^2}[/tex] then x= |a|. In particular, there is NO x such that [tex]\sqrt{x}= -1[/tex].

Do colours exist? Can you really say somebody is red-faced?

It is true that if you multiply by something other than two you won't get the same answer as when you multiply by two, but I should think this is not surprising to anyone who understands math. But the notes are convention. We choose what note is associated with what frequency. Being able to distinguish between different frequencies doesn't depend on how we label them.

They were all apparently one person, and all accounts identified have been spam-banned, including ones that were still setting up the scam - inserting spam links into quoted posts. It's been a little while since we've seen that ploy. Thank you to those that noticed and reported these posts in the last several hours.

! Moderator Note The discussion has not included sufficient detail and rigor to be discussed (no, "conductors are shiny" doesn't come close to clearing that hurdle). If there is no model or testable predictions - something that makes this falsifiable - it will be closed

Apologies. The only time bacteria flagella ever enter my mind is when I’m considering how deeply and frustratingly ignorant creationism is yet how fervently the pious and faithful believe it. Glad you found your answer, though. Thanks for sharing.

The geographic southwest was not part of the US during the civil war, so “the south” in this context refers to the southeast US.

The point I am making is the speed of the electrons is irrelevant to electricity working.

Comes from the Nitrogen mainly. https://en.m.wikipedia.org/wiki/Ionized-air_glow You have an... interesting.. idea of 'fun' lol. Kills me visiting relatives up North during the winter.

Сertainly Book 10 of the Rigveda is a late insert with a completely different pantheon and speculative cosmologia. The Vedas even use different languages: Vedic and Sanskrit. Only the most ancient texts are written in Vedic, these are samhitas, mainly metric texts. And only these texts, samhitas, are really aryan.

For me there is only one ethical problem: the problem of the existence of a predator. The predator must be destroyed in its animal or human manifestation: a wolf, a parasite, a swindler. The source of evil on earth is the predator. Eating meat is immoral. The destruction of someone else's life is immoral. The problem with modern society is that these are cowards who do not try to stop the villain. There is no balance between good and evil. For example, the destruction of wolves will not lead to overpopulation of herbivores, because the food resource is limited, and fertility will decline. This is just myth designed for survive of evil The position of the pacifist is vicious as well as the ideology of Jains, Buddhists and Christians, passivity is serve to villain Good moral is moral of aryans: just kill villian Even if there is some kind of balance philosophically, then in reality it will not exist anyway. Once in Old Europe, cannibals and slave owners lived, they caught people and broke their legs so that they would not run away, they ate them and forced them to work for wear, there they find traces of trepanned skulls on living people, оnce upon a time people were brutally killed to extract adrenochrome. and so on. And what is this "philosophy" worth if you saw how your child is savagely killed?