User:Akselai/FM scale: Difference between revisions
| Line 27: | Line 27: | ||
An '''FM scale of the second kind''' is a function from the ''real numbers'' to musical intervals. Since these are usually continuous functions, it is meaningless to talk about scale steps of an FM scale. | An '''FM scale of the second kind''' is a function from the ''real numbers'' to musical intervals. Since these are usually continuous functions, it is meaningless to talk about scale steps of an FM scale. | ||
It is defined as the integral of the FM function: | It is defined as the integral of the FM function: | ||
<math>\text{FM}( | <math>\text{FM}(t) = \displaystyle \int_0^t f(x) dx</math> | ||
The x-th "scale step" in such a scale is called the x-th '''spec''' (pl. '''specs'''), which comes from the phrase "tone spectrum". | The x-th "scale step" in such a scale is called the x-th '''spec''' (pl. '''specs'''), which comes from the phrase "tone spectrum". | ||