east by north

from The American Heritage® Dictionary of the English Language, 5th Edition.

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

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun The compass point halfway between east and east-northeast, specifically 78.75°.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun the compass point that is one point north of due east