7L 3s (8/3-equivalent): Difference between revisions

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== Rank-2 temperaments ==
== Rank-2 temperaments ==
The '''Bolivar''' [[rank-2]] temperament spells its major [[tetrad]] 4:5:6:8 or 14:18:21:28<code>root-3(2g-p)-(2g-p)-(1g)</code> (p = 8/3, g = 2/1) and its minor tetrad 6:7:9:12 or 10:12:15:20 <code>root-2(p-2g)-(2g-p)-(1g)</code> (p = 8/3, g = 2/1). Basic ~17ed8/3 fits both interpretations.
The '''Bolivar''' [[rank-2]] temperament spells its major [[tetrad]] 4:5:6:8 or 14:18:21:28<code>root-3(2g-p)-(2g-p)-(1g)</code> ({{nowrap|p {{=}} 8/3|g {{=}} 2/1}}) and its minor tetrad 6:7:9:12 or 10:12:15:20 <code>root-2(p-2g)-(2g-p)-(1g)</code> ({{nowrap|p {{=}} 8/3|g {{=}} 2/1}}). Basic ~17ed8/3 fits both interpretations.


=== Bolivar-Meantone ===
=== Bolivar–Meantone ===
[[Subgroup]]: 8/3.2.5/4
[[Subgroup]]: 8/3.2.5/4


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[[Optimal ET sequence]]: ~([[17ed8/3]], [[27ed8/3]], [[44ed8/3]])
[[Optimal ET sequence]]: ~([[17ed8/3]], [[27ed8/3]], [[44ed8/3]])


=== Bolivar-Archy ===
=== Bolivar–Archy ===
[[Subgroup]]: 8/3.2.7/6
[[Subgroup]]: 8/3.2.7/6