## Thursday, October 27, 2011

### Equal Temperament

My head is too filled up at the moment with the science, the mechanics
and the mathematics of sound.
Got it?
Me neither.

$\sqrt[12]{2}=2^{\frac{1}{12}}\approx 1.059463094359295264561825294946$
$\approx \frac {18}{17}=1.05882352941176$ (98.9545922303676 CENT)
$\approx \frac {107}{101}=1.05940594059405$ (99.9066043792227 CENT)
$\approx \frac {11011}{10393}=1.05946310016357$ (100.0000094845790 CENT)
$\approx \frac {18904}{17843}=1.05946309477106$ (100.0000006728490 CENT)

1. Hmmmmm. But I do know about the rule of 17.835 which is the precise system of measuring fret positions on a guitar. (It used to be known as the rule of 18; hence some odd sounding early instruments)

2. math does my head in.