Subgroup temperament families, relationships, and genes: Difference between revisions
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Given some temperament, we can look at the set of all extensions of that temperament. This set is called the ''family'' generated by that temperament. The temperament is called the ''origin'' of the family. | Given some temperament, we can look at the set of all extensions of that temperament. This set is called the ''family'' generated by that temperament. The temperament is called the ''origin'' of the family. | ||
If we look at strong extensions only, then we have the ''strong family'' or ''immediate family'' of the temperament. If we also look at the weak extensions, we have the ''weak family'', ''general family'' or ''extended family'' | If we look at strong extensions only, then we have the ''strong family'' or ''immediate family'' of the temperament. If we also look at the weak extensions, we have the ''weak family'', ''general family'' or ''extended family''. Typically, on this wiki, use of the word "family," without an additional qualifier refers to the extended family. | ||
In general, every temperament is part of many subgroup families, much like real people. For instance, the 2.3.5.7 64/63 & 81/80 temperament (dominant) is in both the 2.3.5 81/80 (meantone) and the 2.3.7 64/63 (archy) families. This is a feature, not a bug, and simply reflects the mathematical reality of the structure of the subgroup temperament universe. | In general, every temperament is part of many subgroup families, much like real people. For instance, the 2.3.5.7 64/63 & 81/80 temperament (dominant) is in both the 2.3.5 81/80 (meantone) and the 2.3.7 64/63 (archy) families. This is a feature, not a bug, and simply reflects the mathematical reality of the structure of the subgroup temperament universe. | ||