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, 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.
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 ==