File:Fifths and Octaves on Keyboard.png

English: Keyboard imagery provides a much better heuristic demonstration of Twelve Tone Equal Temperament than a guitar fret board. The step-wise sequence of keys with higher frequencies in one direction and lower frequencies in the opposite AND no duplicate frequencies, is a much clearer representation of the nature of scales and melodies heard in music.

Keyboards, Circles and Spirals seem required to explain the principle weakness or feature of 12TET (Twelve Tone Equal Temperament - aka 12EDO - 12 Equal Divisions of the Octave), that is; the Major and Minor Third Intervals. The difference in frequencies produced by 12TET fixed frequency instruments (read guitar and piano) from the more natural True and/or Just ratios is audible to all becoming more objectionable and irritating with experience.

UNLESS the reasoning and advantages for the compromised tuning is understood and accepted to some degree or another.

I would postulate that 12TET clearly works for popular music and the guitar is essentially an instrument designed for that purpose. To make it work in the more refined world of classical music which smells heavily of the lamp, requires the artistry and dedication of, say, Segovia.

Popular music smells more like beer and marijuana and dance and fun and teen angst or spirit and cannot be avoided, all the new units coming online all the time have to program themselves through a sort of boot-up process, whatever guidance or mis-guidance older, decaying models provide.