The Archipelago: Difference between revisions
Tristanbay (talk | contribs) →Rank-3 temperaments: Added Namaka temperament Tags: Mobile edit Mobile web edit |
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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]]): ~ | [[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 }} | ||