academical meaning

Definition of academic (Entry 2 of 2)
1581, in the meaning defined at sense 1a

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The numerical value of academical in Chaldean Numerology is: 8

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Also, there are two adjectives (“academic” and “academical”) but only one adverb (“academically”), right? Is there an adverb derived from “scholar”, such as “scholarly”? If yes, how do these two adverbs relate and differ?
Thank you very much in advance.

References:

http://www.yourdictionary.com/academical
http://www.definitions.net/definition/academical
http://www.dictionary.com/browse/academical
http://ell.stackexchange.com/questions/177436/are-academic-and-academical-completely-equivalents-what-about-academically
http://www.bu.edu/sustainability/what-were-doing/green-buildings/leed/