east by north

the direction, or the point on a mariner's compass, halfway between due east and east-northeast; 11°15′ north of due east

See east by north in American Heritage Dictionary 4

noun Abbr. EbN
The direction or point on the mariner's compass halfway between due east and east-northeast, or 78°45: east of due north.
adverb & adj.
Toward or from east by north.
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