Dinner party rules: Difference between revisions
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An '''enemy''' is defined here as a note separated from the starting note by an interval that causes intense discordance, or else, does not easily connect the two notes through LCJI or through delta-rational relationships. It should be noted that perfect dissonances are always enemies, but imperfect dissonances sometimes also meet this criterion. | An '''enemy''' is defined here as a note separated from the starting note by an interval that causes intense discordance, or else, does not easily connect the two notes through LCJI or through delta-rational relationships. It should be noted that perfect dissonances are always enemies, but imperfect dissonances sometimes also meet this criterion. | ||
Friends and enemies are basically the two ends of a spectrum of compatibility. In higher EDO systems, this spectrum comes noticeably into play, and a numerical compatibility rating along this spectrum is generally going to be helpful. Furthermore, some notes can be called '''frenemies''' since they meet the definition of either an enemy or a friend only part of the time. | Friends and enemies are basically the two ends of a spectrum of compatibility. In higher EDO systems, this spectrum comes noticeably into play, and a numerical compatibility rating along this spectrum is generally going to be helpful. Furthermore, some notes can be called '''frenemies''' since they meet the definition of either an enemy or a friend only part of the time. In addition, one frequently has to worry about "ratio ambiguity"- that is, notes which can have more than one relationship to each other. | ||
The phenomenon of '''crowding''' is a major source of dissonance | The phenomenon of '''crowding''' is a major source of dissonance. Specifically, it results when an interval separating two notes is either too small or too close to an octave-reduplication of the starting note. Perhaps the most common examples of intervals that cause this are [[9/8]] and [[15/8]], though intervals such as [[17/15]] are also known to cause crowding. | ||
== Application Examples == | == Application Examples == | ||