7

Is there a consistent rule when you double the n's ?

13

This has to with how these words are derived

innovation = in + novation

1540-50; < Latin innovātus past participle of innovāre to renew, alter, equivalent to in- in-2 + novātus (novā(re) to renew, verbal derivative of novus new + -tus past participle suffix)

http://www.dictionary.com/browse/innovate

whereas

renovation = re + novation

1400-50; late Middle English (adj.) < Latin renovātus (past participle of renovāre), equivalent to re- re- + nov(us) new + -ātus -ate1

http://www.dictionary.com/browse/renovate?s=t

so innovation has two n's because the prefix and root both have n

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