nah

Modern classical refers to the neoclassical movement of composers like Stravinsky, who were part of a classical revival of sorts. They mixed elements of classical era music with their own elements.

many modern "classical" composers but it tends to be a lot of atonal ugly music

Heres an easy answer,

yes their is such thing

Yngwie is Neo-Classical

I guess you could consider GY!BE and Esmerine modern classical music. They implement a lot of elements of classical music. See also: A Silver Mt. Zion, Do Make Say Think, Set Fire To Flames, Rachel's, etc...

I think of classical as the peak of music, it is the most challenging thing that one can play. So basically I see modern classical as anything that challenges a musican to excel and improve. Jazz is a close second, just because most jazz artist and composers have been classically trained.

Not Modern Classical But Contemporary Instrumental
 

I agree that It is not suitable to call a kind of music MODERN CLASSICAL. This kind of music is neither Classical nor Modern.They have the taste of Classical Music but some contemporary Instruments like Synthesisers. So ,in my opinion, we can call them Contemporary Instrumental Music.

The best example for this kind of music is the music of YANNI. I suggest you listen.:usehead:

yeah, that's what I was going to say. Jason becker is another neo-classical guitarist. I suppose it's modern classical in a way. Becker and yngwie are brilliant.

No, classical usually refers to the school of training. This is typically a music only idea. If I was to read Virgil and Homer and I wrote in that vein, I still wouldn't be a "classics" writer.

Classical in music refers to an approach for lack of a far more detailed responce.

In short, there can be a modern classical composer. Just not a modern classic one.