The Archipelago: Difference between revisions
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* [[Borneo]] → [[Lehmerismic temperaments #Borneo|Lehmerismic temperaments]] | * [[Borneo]] → [[Lehmerismic temperaments #Borneo|Lehmerismic temperaments]] | ||
: +1001/1000, 3025/3024 | : +1001/1000, 3025/3024 | ||
* [[Enlil|Enlil aka sumatra]] → [[Kleismic rank | * [[Enlil|Enlil aka sumatra]] → [[Kleismic rank-3 family #Enlil|Kleismic rank-3 family]] | ||
: +325/324, 385/384 | : +325/324, 385/384 | ||
* [[Madagascar]] → [[Cataharry family #Madagascar|Cataharry family]] | * [[Madagascar]] → [[Cataharry family #Madagascar|Cataharry family]] | ||
: +351/350, 540/539 | : +351/350, 540/539 | ||
* [[Hagrid]] → [[Cataharry family #Hagrid|Cataharry family]] | |||
: +243/242, 351/350 | |||
* [[Baffin]] → [[Olympic clan #Baffin|Olympic clan]] | * [[Baffin]] → [[Olympic clan #Baffin|Olympic clan]] | ||
: +1001/1000, 4096/4095 | : +1001/1000, 4096/4095 | ||
* [[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]]): ~ | [[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 }} | ||