Tetrahydronaphthalene derivatives of the formula ##STR1## wherein Y, m, n, R and R.sup.1 to R.sup.9 are as set forth herein, are described. These compounds have a pronounced calcium-antagonistic and anti-arrhythmic activity and can accordingly be used as medicaments, especially for the control or prevention of angina pectoris, ischaemia, arrhythmias and high blood pressure. The compounds of formula I can be prepared by the amination of a compound of the formula ##STR2## with a corresponding N-methyl-phenylalkylamine and optional subsequent O-acylation. Compounds of formula II and IV are also described and are within the scope of the invention.