Mark asks: <<is inharmonicity the reason why we have to temper a piano?>> Greetings, No, we temper because no multiple of 3:2 will ever equal any multiple of 2:1. This is the problem caused by the "comma of Pythagoras" showing itself in a system where the octave is divided into 12 notes. Regards, Ed Foote (inharmonicity is why we "stretch". )
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