What does "intellectually" mean in this essay?

Thomas Brown

It is my temper, and I like it the better, to affect all harmony; and sure there is music even in the beauty, and the silent note which Cupid strikes, far sweeter than the sound of an instrument. For there is a music wherever there is a harmony, order, or propor¬tion; and thus far we may maintain the music of the spheres ; for those well-ordered motions and regular paces, though they give no sound unto the ear, yet to the understanding they strike a note most full of harmony. Whatsoever is harmonically composed delights in harmony; which makes me much distrust the symmetry of those heads which declaim against all Church music. For myself, not only from my obedience but my particular genius, I do embrace it; for even that vulgar and Tavern Music, which makes one man merry, another mad, strikes in me a deep fit of devotion, and a profound contemplation of the first Composer: there is something in it of Divinity more than the ear discovers. It is an hieroglyphical and shadowed lesson of the whole world and Creatures of God, such a melody to the ear as the whole world, well understood, would afford the understanding. In brief, it is a sensible fit of that Harmony which intellectually sounds in the ears of God.

I am confused by the last sentence. What does it mean? Does it mean the sound gives you a strong feeling ?

Thanks for your help