The Collaborative International Dictionary
Infrequence
Infrequence \In*fre"quence\, Infrequency \In*fre"quen*cy\, n.
The state of rarely occuring; uncommonness; rareness; as, the infrequence of his visits.
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The state of not being frequented; solitude; isolation; retirement; seclusion. [R.]
The solitude and infrequency of the place.
--Bp. Hall.
Wiktionary
infrequence
n. (dated form of infrequency English)