Doublings are much more intuitive than powers of 10. If most logarithms were taken base 2 it would make a big improvement in their comprehensibility to laypeop

Doublings are much more intuitive than powers of 10. If most logarithms were taken base 2 it would make a big improvement in their comprehensibility to laypeople. For closest link to western music, use binary logarithms represented using duodecimals. It makes a very nice simple system for approximate arithmetic, since 1 digit after the duodecimal point is enough to represent 3 and 5 reasonably closely. (The same two approximations that make our music sound harmonic also make approximate arithmetic easy and convenient). Of course, that would work even better if we switched to using base twelve for general arithmetic and metrology, overall a big improvement over the often inconvenient decimal system.