I try very hard to read this one. But as a student of dancing and choreography, I find the lack of authenticity difficult. Someone is not doing the right job, either the mangaka, or the editor, or both. The dances are wrong. Yes, I know Quadrilles (I hate it), Viennese Waltz and Tango (mostly box, but yes, I have taken argentine tango lessons), all mentioned in the manga. I still find it odd to have a competition on quadrilles. This is a four couple dance. And yes, sorry to say, very boring. But in its purest form, you can only dance tip toe like ballet, so if you know ballet, you have a natural advantage. You spend more energy chatting and gossiping then the actual dancing part. It came from contra dances, if the mangaka meant contra dances, then at least it makes more sense. But contra dances are anything but element. They are both social dances. Another aspect is you do not really memorize the dance, but only know the choreography, this is because both are "called", not programmed. So at least couples can compete each other (how do you compete between four couples are beyond my understanding, since you change partner in the middle of the dance often, so essentially you have FOUR partners).
Tango in its purest form are danced by two men, alternating between lead and follow, with the "couple" actually fighting against each other. Great for a gay couple. When it turned into heterosexual couple, it lost its original flair and intensity, ie. man as lead and woman as follow. And then we have the box tango (yuck).
As it is, this manga has the exact feeling of one of those sports shoujo manga/anime, like tennis or volleyball.
Why can't the editor or/and go to a University and spend half a semester studying choreography, and also ask a dance professor from the theater and dance (combined usually) department? what is the right way to dance?
Oh, if you are chosen as solo, what are you supposed to do? simple duple or compound triple pattern???
It is a manga, so at the end of the day, is just a creation from an artist. There are plenty of methods to compete. Just do not choose a social dance that requires constant change of partners. Oh yes, draw more German Windows please.