Chantepleure means "singing and weeping (or crying) simultaneously;" I am looking for something similar but that does not require actual tears, actual crying (just the same degree of emotional intensity either throughout, or more common, in the tail-end of a song). Some examples of what I mean would be:
Prince - Beautiful Ones: https://www.youtube.com/watch?v=kKZYpcetFVg [From 3:10 to 4:30]
Leona Lewis - Run - https://www.youtube.com/watch?v=pelOvxFuJj8 [from 3:10 to 4:10]
Michael Jackson - Earth Song - https://www.youtube.com/watch?v=OstvvP8QuxQ [From 4:10 to end]
To a lesser degree:
Hurt - Christina Aguilera - https://www.youtube.com/watch?v=___l8Y21yNM [an example where the entire song has that style to a degree but especially the latter half]....
Say Something (I'm giving up on you) - https://www.youtube.com/watch?v=BmErRm-vApI - is another song that, throughout, exhibits a real degree or extent of the emotions / emotionalism in view.
The style seems more common in soul, pop, rock, and related musical forms. The words crescendo and climax are close but numerous songs have a crescendo/climax portion that doesn't reach the level of emotional intensity, sadness, desperation, etc. that these songs (and many others) convey.