Temperament families and clans: Difference between revisions
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{{Beginner|Subgroup temperament families, relationships, and genes}} | {{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). | 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). | ||
Revision as of 05:28, 15 May 2025
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This is a beginner page. It is written to allow new readers to learn about the basics of the topic easily. The corresponding expert page for this topic is Subgroup temperament families, relationships, and genes. |
Temperament families and clans are ways to organize regular temperaments. 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).
Ultrapyth and superpyth are both in the archytas clan, because they have a common 2.3.7 structure equivalent to archy, as they both temper out 64/63 in the 2.3.7 subgroup. In other words, they are both extensions of 2.3.7 archy.
See also
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Todo: expand |