Two sung masses on Sundays and days of obligation?

Traditional Catholicism
#1

Is it allowed on a parish church to have either the following:

  • two Missa Cantata, or

  • one Missa Cantata and one Solemn High Mass

…on Sundays and important feasts? Assuming that the church will only have two masses on those days specified…

Just for info. Thanks you so much.

#2

There is no law or other norm that forbids either.

#3