In the Extraordinary Form of the Mass, there is a kind of progressive solemnity but not quite, meaning there is little flexibility in adding it or taking it away, but there are some:
1. Low Mass, nothing of the Mass is sung only spoken, but for Sundays and Holy Days of Obligation, four hymns can be added in the vernacular or Latin. That's a form of progressive solemnity.
2. In the Sung Mass, aka, High Mass, everything is chanted, meaning the Mass itself, but other anthems or hymns could be added as a processional, offertory, Communion and recessional. Incense is or isn't used. It is optional.
3. Solemn Sung Mass with priest, deacon and subdeacon is very prescribed although even there something could be added in terms of music.
4. And of course there is the Pontifical High Mass which most never attend.
In the Ordinary Form of the Mass there is all kinds of flexibility for "progressive solemnity" and no longer are the EF's terms of low, high and solemn high used.
At my parish, we chant all the parts of the Mass at all three weekend Masses. At our 10:30 AM Mass we use incense. However, we never chant to Old Testament or Epistle readings and very rarely chant the Gospel.
With the pandemic, we stopped the "presentation of the offerings".
And then today, I had a bright ideal, concerning adding solemnity to our more solemn Masses and how to do it since we have so much solemnity at our normal Masses.
1. We do chant the Gospel, rarely, but for special Solemnities. We could choose to do so for other feasts and solemnities celebrated on Sunday.
2. For really high holy days, we could have someone chant the other readings.
3. While we use incense at our principal 10:30 Sunday Mass, we seldom incense the elevations, thus that is another avenue for progressive solemnity for Feasts and Solemnities.
BUT HERE'S A NEW TWIST AND I LIKE IT!
We could have the "presentation of the offerings" only for special feasts, solemnities and sacraments, like Easter Sunday and its Vigil, Confirmation, First Holy Communion, Pentecost, Corpus Christi, etc
Brilliant if I do say so myself!