diff -r 000000000000 -r 1397c2bfefa2 appharm.en.sgml --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/appharm.en.sgml Mon Dec 26 19:21:22 2005 -0500 @@ -0,0 +1,57 @@ + + + %struct-dtd; +]> + + The harmonic principle + + The Harmonies Attributes came from a principle known from + Antiquity and named harmonics. Harmonics are used in music as + what we known as scales. A scale contains twelve notes (when we + count the black notes on piano keys) which repeat infinitely. + Between one note and the next one with the same name, there is a + difference of pitch (the frequency of the notes) which is exactly + the double. + + In the Harmonies, the recipe is the same except that we only + kept ten notes and that the value is multiply by 10 at each + repetition. This scale is called the logarithmic decimal scale + and only gives you an approximation of + it. + + The important values to remember in this scale are those + associated with the value 0, 3, 5 and 10, which are 1, 2, 3 and 10 + respectively. From those ones, you can find back the full table + simply by adding and subtracting the empty spaces from the known + values, and then to replace additions with multiplications, and + subtraction with divisions. For example, to get back the value of + 2, we can observe that 5-3=2, so, once the substitution done, we + have 3/2=1.5. + + Note that those numbers are only approximation except for 0 + (which equal exactly 1) and 10 (which equal exactly 10). A 3 + points difference is equivalent to a factor of 2.01, and a 5 + points difference is equivalent to approximately 3.2. + + +