Subgroup temperaments: Difference between revisions
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=== Barbados === | === Barbados === | ||
Barbados is the restriction of [[#Bridgetown|bridgetown]] to the 2.3.13/5 subgroup, and tempers out [[676/675]] alone. 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. If tuned near-optimally, it is just barely a [[microtemperament]], with errors of under one cent for 3 and 13/5. | Barbados is the restriction of [[#Bridgetown|bridgetown]] to the 2.3.13/5 subgroup, and tempers out [[676/675]] alone. 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. If tuned near-optimally, it is just barely a [[microtemperament]], with errors of under one cent for 3 and 13/5, and given its ultra-low complexity, this makes Barbados an extremely low-[[badness]] temperament within its subgroup. | ||
[[Subgroup]]: 2.3.13/5 | [[Subgroup]]: 2.3.13/5 | ||