Really they are different. Because 'mortar' which is usually called refers to the mixture of cement, sand and water. Whereas, lime mortar refers to the mixture of lime, sand and water. But both are...
mortar (a workable paste formed by mixture of cement, water and fine aggregate masonry to bind construction blocks together and fill gaps between them)
Mortars were a smooth bored of cannon with a high trajectory. They were effective against trenches and fortifications because they dropped down behind walls and barriers.
Most of today's modern...
It depends on the age of the mortar.
Today's mortar is made from sand, Portland cement and water. In very cold weather a plasticiser is added.
Prior to about 1900 mortar was made from sand, lime...