A cent is 1200 times the logarithm to base 2 of a real number.
And the reason for those "complicated numbers" is the rather elementary fact
that
log(3)/log(2)
is irrational.
By the Gelfond-Schneider theorem it is even transcendental, but this a very
deep celebrated theorem proved in 1934 independently by Aleksandr Gelfond and
Theodor Schneider.
Rainer
On 28.07.2019 10:43, Matthew Daillie wrote:
That is not true Rainer, they simply say that the use of cents is a relatively
modern one and anachronistic for dealing with Renaissance music. It is
concomitant with equal temperament (in which a cent = 1/100 of a semitone).
Best,
Matthew
Le 28 juil. 2019 à 10:13, Rainer <rads.bera_g...@t-online.de> a écrit :
Apparently, they don't have the slightest idea where the concept of cents is
coming from.
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