I do not understand how you are reaching this conclusion. It is NOT at all possible to dance without music. Using this logic, music is not a prerequisite for playing on the piano--a point that just doesn't make sense.
Same could be said about music, in that case: "You can't play or make music without dancing, because you are using your body to create it.", which would mean that nobody is missing anything from music if they for example play it on piano - their hands are dancing. The problem here is that the movement of hands is as much of dancing as the tapping of feet against the ground is of music, there is a very superficial connection between the two without the consciously created flow that you activate when you dance to music.
Yes, rhythm is possible without a steady beat, melody, or harmony--this was also a part of my point.
I only said "steady" because to some degree rhythm must have predictability to it, or it is undancable.
I predicted that you would see this as a possible contradiction, Willcowskitz! Actually, we're stumbling onto the 'missing elements' I was referring to. All music is capable of being danced to (because it has rhythm).
So, what do the classical listeners lack if their music is possible to be danced? Music is music, dancing is dancing - I have already explained what dancing is, and when you realize what it is, the connection between dancing and music becomes unnecessary unless you claim that I'm comparable to piano virtuoso as I'm typing out this post. There is difference between rocks being clanked against each other and complex Dupré's fugues or emotionally charged Liszt's early music - the articulation has been taken to more sophisticated levels of detail.
Of course ANY music can be, because music IS entertainment! Entertainment is what you make of it.
You are just stubborn. You keep repeating that but you haven't said anything that would prove music to be only entertainment. On the other hand, you say "Entertainment is what you make of it" - make of what? So there must exist some broader and more general idea of music, and in the same manner as I depress my thoughts into simplified shape by turning them into words, music gets depressed into entertainment in your head. Think about it, it supports and is supported by the idea that music is greater than anything that humans make of it, it is a pool that you sip from, and only what your palm can hold you will be able to drink. Understand this now.
I read the statement that you made. I can sort of understand you saying it but there are a great many things that existed before man did. But, not only is this way out there, it is an advanced scientific or more agnostic topic that is subject to debate. Not to mention purely theoretical.
You can? Good, because,
It is as simple as this: The man(kind) is not the centre of nature, but a mere product of natural evolution just like any other life form. Even if music was entertainment to you or me or him or her, it wouldn't mean entertainment is all that music is about. Instead, it would be all that we're able to grasp from it, which would be a sad setting in my opinion.
You are speaking of a time far away when you were not around and of a time far into the future when you will not be around.
Time is an illusion.

We can travel the chain of causalities endlessly to understand the past and predict the future. In more common terms its called history and historical(?)determinism. We know a lot of what the world was like before us, and unless we take the universe as product of our imagination, we know what it will be like after we're gone. It is still based on same fundamental laws of how particles act when they confront each other.
So I have laid out evidence against statements such as "all conscious human senses are capable of being entertained"--taste being the gourmet food example?
No, you made a perfect example of a concept that humans can turn into entertainment if they wish (and since here they're dependant on this particular activity, they will wish to do just that). Do you eat to entertain yourself? Or, are you conscious of that you will have to eat, and while you're at it you might as well make it entertaining for yourself since you have no choice.
Vibrating air molecules are only one medium of music. Air molecules are not needed for music to exist.
This vibration is the actualization of the idea (when I say "idea" I'm referring to Platon's world of ideas) of music. It is currently the only way to transfer music since we don't have plugs in our heads. Music can exist in our heads, and then it is imitation and multiplying of the print that sound has left in our brains, based on memory.
False and etc. aside, I really do not like the definition of entertainment that you have given. Merriam-Webster's definition is a bit more accurate/better:
Entertainment:
1 : the act of entertaining
2 a archaic : MAINTENANCE, PROVISION b obsolete : EMPLOYMENT
3 : something diverting or engaging: as a : a public performance b : a usually light comic or adventure novel
Entertain:
1 a archaic : MAINTAIN b obsolete : RECEIVE
2 : to show hospitality to
3 a : to keep, hold, or maintain in the mind b : to receive and take into consideration
4 : to provide entertainment for
5 : to play against (an opposing team) on one's home field or court intransitive senses: to provide entertainment especially for guests
Merriam-Webster (Thesaurus) also says that entertainment is:
Text: something diverting, amusing, or entertaining <staged a floor show as entertainment for her guests>
Synonyms amusement, dissipation, distraction, diversion, divertissement, recreation
Related Word disport, play, sport; enjoyment, gaiety, pleasure; relaxation, relief
Divertion, amusement, pleasure, enjoyment, relaxation. Etc. Does not fit the idea of music, but makes sense as to what music can be used for.
Entertainment is what you make of it and it is far from shallow (music is entertainment).
Entertainment diverts and distracts you from reality, what is not shallow in blindfolding ourselves from the worries or bothers of the everyday life? Isn't that the sterotypic American mentality in a nutshell. For me it is missing the point, it is about not facing what is real if it makes you feel any better. Like propagandha: It is not effective because it is so overwhelmingly convincing, but it primarily relies on how irresponsible people are - it is by far easier to believe in certain view than to think through it yourself. This is why I think entertainment is lying.
I could give you 20,000 examples how entertainment is what you make of it but it is not necessary right now.
Did you make a conscious move of saying about entertainment what alvaro said about music:
"Music is what you make of it" - OK point, difficult to argue
"Entertainment is not music" - Doesn't fit your view
"Entertainment is what you make of it" - By redefining certain words we can push the "responsibility" onto the next word and turn the whole case around and go in circles. So if I am saying that music is not entertainment, you can say that it is because I take entertainment as something that music is not. If you say that music is entertainment, I can say that it is entertainment because you take it as such. Do you see the difference? In my representation of music, entertainment is a possible direction for it. In your representation of music, music is entertainment which for me is only a possibility. I see it from your perspective, but you don't see it from mine, thus why you lack the view to go beyond the entertainmental characteristic of music.
But, in the meantime, I will accept into my schedule the role of being your psychologist on this issue, Willcowskitz! Your distaste for the word 'entertainment' appears to stem from either your negative opinion, objective observations, or personal views of how other close people in your life (possibly family members whom you dearly care for) have made use of entertainment for their own purpose.
Hahah.
Anyways: This isn't about me or you, this is about music. I am defending the true potential and value of music, not myself. Each of your assumptions are false, too. I have no problems with people entertaining themselves - After all, life is sometimes pretty unbearable without divertion and distraction from it by basically shutting your brain down and start absorbing entertainment that keeps your mind busy in lighter matters. I engage in entertainment every day, consciously, to divert myself. But again, this is not about me, nor is it about you. This is about what music is.
You strongly disagree and/or may have observed disaster in what they have done with entertainment and are comparing the results of what you have made of entertainment to them. As a result, you have developed entertinphobia. But it is also possible that your phobia of entertainment stems from another similar traumatic experience but I am not sure yet. We will have to work on this. Therapy will be $25 a session and will involve you 'acquiring' a newfound taste for the word entertainment. I'm available for consultation on Wednesdays. (I'm only joking, Will)
Hahahah, sorry I can't afford that.

Dancing is not possible without music. You're obviously a fairly logical creature but, unfortunately, there is no logical and certainly no artistic way around this!
Again: If dancing is impossible without music, everything you do with your body is. If music involves everything, then everything is entertainment. Would you agree?
It's hard for a person to substitute something lacking when they haven't the developed parts to even know what is missing.
Elitism is an imaginative contract signed by a group of people who want to view the rest of the people from above. There is always a reason for everything, and I doubt these people are as confident as they often want to express. Narcism derives from low self esteem and uncertainty of one's abilities in relation to other people (which is due to twisted images (or lack of reflection) of themselves that they find from others around them) and as nature has granted them the will to survive, they find a way around this low self esteem by artificially boosting it by self-deluding. Isn't this what elitists engage in?
You have made it very clear to me now, Will. I understand.... We can begin therapy sessions on entertainment as early as next week (July 14th). Please bring to the session material that is of entertainment value to you. And also bring CDs of music that you do not like such as Britney Spears (they carry vomit-bags at most department stores or you can have a partner bring the CD so you don't have to touch it).
And do you think you can make me talk any more than my previous therapist?
Thank You! I really appreciate your kindness : ) You're very friendly.
This isn't about me or you, I have no reason to not bring the best out of you as a person.

On a more serious note, this volcanic eruption over entertainment is, for lack of a better word, interesting. This is why many pianists suffer from pyschological issues (hence the therapy on Wednesday). It's what happens when you treat music as something that it is not.
You're welcome to my appointment on Tuesday evening at 19:00 and we'll be getting into the core of your obsession with entertainment that probably derives itself from sexual frustration and childhood incest.
As a bottomline, I don't have much to add to this discussion at this point as it is not moving anywhere. In a nutshell, to me it seems you don't see the original idea of music that the entertaining part is extracted from by an individual, and you probably think that I only stubbornly refuse to admit that I only listen to music for pleasure?