Temperament families and clans: Difference between revisions

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{{Beginner|Subgroup temperament families, relationships, and genes}}

'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some subgroup in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out 64/63 in the 2.3.7 subgroup.) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)

'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some subgroup in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out, and more specifically, all temperaments in a clan must be of the same rank as the parent temperament. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out 64/63 in the 2.3.7 subgroup, and all rank-2 temperaments which temper out 64/63 in 2.3.7 are part of the archytas clan) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)

For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).

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 {{Beginner|Subgroup temperament families, relationships, and genes}}
-'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some subgroup in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out 64/63 in the 2.3.7 subgroup.) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)
+'''Temperament families''' and '''clans''' are ways to organize [[regular temperament]]s. Two temperaments are in the same '''clan''' if there is some subgroup in which both temperaments temper out the same single comma (which defines the clan). Each clan has a parent temperament, which is the temperament in the given subgroup in which precisely that comma is tempered out, and more specifically, all temperaments in a clan must be of the same rank as the parent temperament. (For example, the parent of the archytas clan is 2.3.7 archy, tempering out 64/63 in the 2.3.7 subgroup, and all rank-2 temperaments which temper out 64/63 in 2.3.7 are part of the archytas clan) A special case of clans are '''families''', where the common subgroup is a prime limit (2.3.5 for a rank-2 temperament, for example). (Note that a family is usually not called a clan.)
 For example, [[porky]] and [[porcupinefish]] are both in the [[porcupine family]], because they have a common 5-limit structure in which only the porcupine comma [[250/243]] is tempered out, which is equivalent to 5-limit [[porcupine]] temperament. In other words, they are both extensions of 2.3.5 porcupine (and in fact of 2.3.5.11 porkypine).