The reason is that, arguably, the CL calculation is wonky in the text. In virtually all cases, it works just fine, but it goes berserk any time something has a caster level allows you to add some other caster level(s) to determine it (the gold standard here is Master Spellthief, which calculates your CL for all spells by adding all your separate CLs, all of which Sublime Chord sets to [presumably] your highest CL). The 2nd level is just gravy that interacts nicely with the aforementioned wonkiness, and is better than pretty much anything except, possibly, metamagic reducers.