British and Commonwealth countries
In the British Armed Forces, and in the armed forces of several other Commonwealth countries, scrambled egg (singular) is a nickname for the gold braid (called an "oak leaf sprig") on the peak of senior officers' peaked caps, and by extension a nickname for an officer. Specifically, flag officers, general officers, and air officers have two rows of golden oak leaves, while commodores, captains, and commanders (Royal Navy), brigadiers and colonels (Army), and group captains (RAF) have one row.
Amongst the one-star ranks there is disparity. Specifically, as Navy commodores are not classified as flag officers and Army brigadiers are not general officers, they only have one row of golden oak leaves. However, the equivalent (but lower in precedence) Air Force rank of air commodore is classified as an air officer and hence has two rows of golden oak leaves. Disparities also exist at the OF-4 rank level with Navy commanders having one row of golden oak leaves whereas their Army and RAF counterparts (lieutenant colonel and wing commander) do not have any embellishments on their peaks.