Dicot family: Difference between revisions
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In the 11-limit, we have the identity 25/24 = ([[45/44]])⋅([[55/54]]), so it makes sense to temper out all of them. This leads to the very natural subgroup temperament where [[11/9]]~[[27/22]] is mapped to the neutral third. As such, this is also the path that most of the septimal extensions take to get their 11-limit versions. | In the 11-limit, we have the identity 25/24 = ([[45/44]])⋅([[55/54]]), so it makes sense to temper out all of them. This leads to the very natural subgroup temperament where [[11/9]]~[[27/22]] is mapped to the neutral third. As such, this is also the path that most of the septimal extensions take to get their 11-limit versions. | ||
An alternative identity is 25/24 = ([[33/32]])⋅([[100/99]]), and tempering out these commas leads to eudicot | An alternative identity is 25/24 = ([[33/32]])⋅([[100/99]]), and tempering out these commas leads to the 2.3.5.11 version of eudicot. | ||
=== 2.3.5.11 subgroup === | === Dicot (2.3.5.11 subgroup) === | ||
Subgroup: 2.3.5.11 | Subgroup: 2.3.5.11 | ||
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Badness (Sintel): 0.536 | Badness (Sintel): 0.536 | ||
=== Eudicot === | === Eudicot (2.3.5.11 subgroup) === | ||
Subgroup: 2.3.5.11 | Subgroup: 2.3.5.11 | ||