Subgroup temperament families, relationships, and genes: Difference between revisions

TallKite (talk | contribs)
Extensions and Restrictions: fixed a broken link
Mike Battaglia (talk | contribs)
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This is closely related to simply looking for the most important subgroup temperaments across all subgroups (rather than only within one subgroup). There are a few different ways to do this, but many of them tend to give the basic result of ranking very highly those relatively simple, but powerful temperaments that tend to have lots of important extensions. For now, we will identify any subgroup family with its origin, making the somewhat simplifying assumption that any good family has a good origin.
This is closely related to simply looking for the most important subgroup temperaments across all subgroups (rather than only within one subgroup). There are a few different ways to do this, but many of them tend to give the basic result of ranking very highly those relatively simple, but powerful temperaments that tend to have lots of important extensions. For now, we will identify any subgroup family with its origin, making the somewhat simplifying assumption that any good family has a good origin.


A ''gene'' is a very simple subgroup temperament which is supported by some other subgroup temperament. The ''dimension'' or ''rank'' of a gene is simply its rank as a temperament (which is one less than the rank of the subgroup is being tempered from), and the ''codimension'' is simply the rank of its kernel. The dimension and codimension of a gene form its ''signature''. If the restriction of the temperament to one of its genes doesn't change the generators, it's called a ''strong gene'', if it does it's a ''weak gene''. The ''genome'' of a temperament is the set of genes that it supports. Genes are named in memory of Gene Smith, one of the main originators of most of the theory on this wiki (and its largest contributor by an enormous margin), who sadly passed in January of 2021 from COVID-19.
A ''gene'' is a very simple subgroup temperament which is supported by some other subgroup temperament. The ''dimension'' or ''rank'' of a gene is simply its rank as a temperament, and the ''codimension'' is simply the rank of its kernel. The dimension and codimension of a gene form its ''signature''. If the restriction of the temperament to one of its genes doesn't change the generators, it's called a ''strong gene'', if it does it's a ''weak gene''. The ''genome'' of a temperament is the set of genes that it supports. Genes are named in memory of Gene Smith, one of the main originators of most of the theory on this wiki (and its largest contributor by an enormous margin), who sadly passed in January of 2021 from COVID-19.


The most important genes are codimension-1. A codimension-1 gene is just the pairing of one subgroup and a comma tempered out on that subgroup and is called a ''base pair.'' It is fairly natural to extend the definition of genes to codimension-2, codimension-3, etc, but for now I will primarily focus on codimension-1 below.
The most important genes are codimension-1. A codimension-1 gene is just the pairing of one subgroup and a comma tempered out on that subgroup and is called a ''base pair.'' It is fairly natural to extend the definition of genes to codimension-2, codimension-3, etc, but for now I will primarily focus on codimension-1 below.