Dinner party rules: Difference between revisions

Line 12:

A '''friend''' here is defined as a note separated from the starting note by either a close approximation of an [[LCJI]] interval, or else, a close approximation of a [[Delta-rational chord|delta-rational]] interval, without being too close to one another in acoustic proximity. Friends are most frequently prefect consonances, such as [[3/2]] or [[4/3]], imperfect consonances such as [[5/4]] or [[8/5]], or ambisonances such as [[7/4]] and [[8/7]]. However, sometimes imperfect dissonances also meet the definition of a friend, for example, a neutral third like [[11/9]].

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. Perfect dissonances are always enemies in some capacity or other, while imperfect dissonances are less likely to 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. Perfect dissonances are always enemies in some capacity or other, while imperfect dissonances are less likely to meet this criterion. Just about the only way to get away with enemies in a chord is to space them really far apart.

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, or else, meet the definitions of both at the same time. In addition, one frequently has to worry about "ratio ambiguity"- that is, notes which can have more than one relationship to each other.

@@ Line 12: / Line 12: @@
 A '''friend''' here is defined as a note separated from the starting note by either a close approximation of an [[LCJI]] interval, or else, a close approximation of a [[Delta-rational chord|delta-rational]] interval, without being too close to one another in acoustic proximity.  Friends are most frequently prefect consonances, such as [[3/2]] or [[4/3]], imperfect consonances such as [[5/4]] or [[8/5]], or ambisonances such as [[7/4]] and [[8/7]].  However, sometimes imperfect dissonances also meet the definition of a friend, for example, a neutral third like [[11/9]].
-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.  Perfect dissonances are always enemies in some capacity or other, while imperfect dissonances are less likely to 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.  Perfect dissonances are always enemies in some capacity or other, while imperfect dissonances are less likely to meet this criterion.  Just about the only way to get away with enemies in a chord is to space them really far apart.
 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, or else, meet the definitions of both at the same time.  In addition, one frequently has to worry about "ratio ambiguity"- that is, notes which can have more than one relationship to each other.