Temperament families and clans: Difference between revisions

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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). However, a family is usually not called a 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). However, a family is usually not called a clan.  


Besides families and clans, there are pages that collect temperaments of a certain comma on this wiki. These pages are for temperaments one rank lower than its corresponding family, and are used because some temperaments are more closely associated with the comma than any other or otherwise do not belong to any notable family or clan.  
Besides families and clans, there are pages (e.g. [[Marvel temperaments]]) that collect temperaments of a certain comma on this wiki. These pages are for temperaments one rank lower than its corresponding family, and are used because some temperaments are more closely associated with the comma than any other or otherwise do not belong to any notable family or 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).