Excelente videito que explica la imposibilidad matemática de la afinación justa en un piano. La necesidad de Raíz 12 de 2 (irracional) para llegar a la octava en una duplicación exacta 12(raíz12de2)
Por otro lado cada semitono se divide en 100 partes (cents)
1 cent es raíz1200 de 2, o 2exp1200/1
This also gives a nice explanation for why it is natural to have 12 notes in a chromatic scale, and not some other number: powers of the twelfth root of two have a tendency to be surprisingly close to simple rational numbers. For instance it's fifth power is strangely close to 4/3, it's seventh power is close to 3/2, it's 4th power is close to 4/5, etc. Powers of, say, the 11th root of 2 would not play so nicely.
Problemas de afinación en las cuerdas.
Pitagórica, Justa, Temperada según el caso.
bonus!
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