Re: [LAU] Chord finder

On Fri, Jul 13, 2012 at 9:55 PM, Burkhard Wölfel <versuchsanstalt(a)gmx.de> wrote: I dont have a B# vs C example ready offhand but here is an example where G# is a different acoustical phenomenon from Ab in C major context. In Beethoven piano sonata no 32 2nd movement there is a Ab and a G# within a couple of bars of each other. If I put my keyboard in 'Just major-C' tuning, the G# sounds right, the Ab sounds wrong If I put it into 'Just minor-C' tuning the Ab sounds right the G# sounds wrong My explanation (to be taken with liberal salt given my music theory and tuning theory novice status): The augmented fifth (G#) is a different note from the minor sixth (Ab) Equal temperament chooses a midpoint between the two as an approximation to both They are 772 800 813 cents in http://www.kylegann.com/Octave.html The above is a more theoretical discussion. Pragmatically, one cannot play Beethoven in Just intonation. But equally(!) Equal temperament is suboptimal