Need help understanding 心は気高く / そのまた先で感じていくの


From [this
song](http://www.animelyrics.com/anime/seireitsukai/bladedance.jis):

> 宙よりも高く 宙よりも高く  
>  どこまでも駆け昇っていくの  
>  心は気高く 心は気高く  
>  **そのまた先で感じていくの**  
>  あの日描いた未来を わたしたちの理想論を  
>  実現(させる) 踊る刃(やいば)達の祭壇へ

Can anyone explain how the line “そのまた先で感じていくの” relates to the rest?

My rough translation:

> _Higher than the sky, Higher than the sky  
>  We will keep ascending to new heights_  
>  **???**  
>  _To make the future we dreamed of that day into reality  
>  To realise our vision of an ideal world  
>  We head to the altar of dancing blades_

The two lines that I'm not sure of is how to express 心は気高く in English and what
it means by そのまた先で感じていくの.




I think that the problem is that you don't realize that また can be inserted
into その先, like

> その先の、その先の、その **また** 先 (のそのまたうーんと先)  
>  Further than that, further than _that_ and further than that **again** (and
> even further than _that_ )

The lines just before have

> 心は気高く 心は気高く

So, _beyond_ that place where "our hearts are sublime", we'll (actually) "be
experiencing that day, when we painted our future".

(Note that the part あの日描いた未来を would in a standard sentence come before
そのまた先で感じていく, like あの日描いた未来をその先で感じていく.)

I'm really bad at translations, but the grammar involving また is straight-
forward, I think.

