User:Holger Stoltenberg/sandbox: Difference between revisions
intonation: math and subheaders |
No edit summary |
||
| Line 78: | Line 78: | ||
==== Calculate intonation ==== | ==== Calculate intonation ==== | ||
To calculate the signed intonation interval | To calculate the signed intonation interval... | ||
*compute the ''remainder'' of the original interval’s ''value in cents'' by a modulo division e.g. <small><math>(386</math> ¢ <math>mod(100))</math></small>, the <br>intermediate result is 86 ¢ | |||
*compute the ''remainder'' of the original interval’s ''value in cents'' by a modulo division <small><math>(386</math> ¢ <math>mod(100))</math></small>, the <br>intermediate result is 86 ¢ | *Test: If the intermediate result is greater than 50 ¢ then subtract 100 ¢ | ||
*Test: | |||
*The test is true and the final result is 86 ¢ -100 ¢ = -14 ¢ | *The test is true and the final result is 86 ¢ -100 ¢ = -14 ¢ | ||
| Line 88: | Line 87: | ||
::::<math> | ::::<math> | ||
r_{12edo}=integer\left (\frac{r_{cents}+50c}{100.0} \right )\cdot 100</math> <br> | r_{12edo}=integer\left (\frac{r_{cents}+50c}{100.0} \right )\cdot 100</math> <br> | ||
... according to Example 1: | ... according to [[#example01|Example 1]]: | ||
::::<math> | ::::<math> | ||
r_{12edo}=integer\left (\frac{386c+50c}{100.0} \right )\cdot 100=400</math> ¢ | r_{12edo}=integer\left (\frac{386c+50c}{100.0} \right )\cdot 100=400</math> ¢ | ||