[klat]

Yes, it is lunisolar and is based on both the lunar month and the solar year. 
 
Furthermore there are many lunisolar calendar around.
Sg is majority Chinese.. at least another two decades.
And officially our public holiday clearly state is CNY. 

So to call Chinese new year or Chinese Lunar new year is more correct.

The real chinese will use lunar new year.
Other races will use chinese new year. For eg. The indians will use CNY.