I am a concert pianist, and have played for 30 years. I decided to start learning the guitar. I have a question regarding the design of the instrument, as there seems to be a strange anomaly regarding the note arrangement between the second and third strings. Starting from string number 6, the strings are perfect fourths distance apart, E-A-D-G-B-E the notes are perfect fourths apart, except between G-B which is a third. Why is this? My years of piano have taught my brain to think in perfect linear increments. Why isn't the guitar made that way? According to perfect incremental math, the open second string should be C, and the first open string should be F. Why isn't it made this way? This seems strange to me, and will this make the instrument difficult to learn by someone who is so use to playing by mathematical principles applied to music? How do I get past this? The piano is a linear board where the stringed sound frequencies are perfect integer distances apart. I play by ear also b/c my mind knows that a perfect fifth, fourth, seventh, or even an augmented chord without looking b/c I know the distances between keys that the particular frequencies should lay on an integer board, (which is really what a piano is: a mathematical sound board.) The guitar is not a linear or mathematical instrument. Any suggestions? Is there a mathematical logical way to learn the guitar or am I just going to have to memorize the finger note placements by memory alone.