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~~, 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.)

'''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; this implies all temperaments in a clan must be of the same [[rank]] as each other and 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, 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.)
+'''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; this implies all temperaments in a clan must be of the same [[rank]] as each other and 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).