The Archipelago: Difference between revisions

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* [[Kujuku]] → [[Pentacircle clan #Kujuku|Pentacircle clan]]
* [[Kujuku]] → [[Pentacircle clan #Kujuku|Pentacircle clan]]
: +352/351, 364/363
: +352/351, 364/363
* [[Namaka]] → [[Hemifamity family#Namaka|Hemifamity family]]
: +352/351, 1001/1000


== Rank-2 temperaments ==
== Rank-2 temperaments ==
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== Subgroup temperaments ==
== Subgroup temperaments ==
=== Barbados ===
=== Barbados ===
{{See also|Extraclassical tonality}}
Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 [[just intonation subgroup]]. The [[minimax tuning]] for this makes the generator the cube root of 20/13, or 248.5953 cents. Edos which may be used for it are [[24edo]], [[29edo]], [[53edo]] and [[111edo]], with [[mos scale]]s of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.
Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 [[just intonation subgroup]]. The [[minimax tuning]] for this makes the generator the cube root of 20/13, or 248.5953 cents. Edos which may be used for it are [[24edo]], [[29edo]], [[53edo]] and [[111edo]], with [[mos scale]]s of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.


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: [[gencom]]: [55/39 15/13; 243/242 676/675]
: [[gencom]]: [55/39 15/13; 243/242 676/675]


[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~2 = 1\1, ~15/13 = 249.312
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~55/39 = 1\2, ~15/13 = 249.312


{{Optimal ET sequence|legend=1| 10, 14, 24, 58, 82, 130 }}
{{Optimal ET sequence|legend=1| 10, 14, 24, 58, 82, 130 }}