Octagar temperaments: Difference between revisions

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Octagar temperaments temper out the octagar comma, {{monzo|5 -4 3 -2}} = 4000/3969.
Octagar temperaments temper out the octagar comma, {{monzo|5 -4 3 -2}} = 4000/3969.


Temperaments discussed elsewhere are [[Garibaldi temperament|garibaldi]], [[Augmented family #Augene|augene]], [[Tetracot family #Octacot|octacot]], [[Orwellismic temperaments #Quartonic|quartonic]], [[superkleismic]], [[Meantone family #Injera|injera]], [[Diaschismic family #Bidia|bidia]], [[Kleismic family #Hemikleismic|hemikleismic]], [[Mirkwai clan #Pluto|pluto]], [[Porcupine family #Nautilus|nautilus]], [[Ripple family|ripple]], and [[Amity family #Hamity|hamity]].
Temperaments discussed elsewhere include [[Garibaldi temperament|garibaldi]], [[Augmented family #Augene|augene]], [[Tetracot family #Octacot|octacot]], [[Orwellismic temperaments #Quartonic|quartonic]], [[superkleismic]], [[Meantone family #Injera|injera]], [[Diaschismic family #Bidia|bidia]], [[Kleismic family #Hemikleismic|hemikleismic]], [[Mirkwai clan #Pluto|pluto]], [[Porcupine family #Nautilus|nautilus]], [[Ripple family|ripple]], and [[Amity family #Hamity|hamity]].


== Slendi ==
== Slendi ==
Subgroup: 2.3.5.7
[[Comma list]]: 4000/3969, 84035/82944
[[Comma list]]: 4000/3969, 84035/82944


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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 100/99, 245/242, 46656/46585
Comma list: 100/99, 245/242, 46656/46585


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 100/99, 144/143, 245/242, 343/338
Comma list: 100/99, 144/143, 245/242, 343/338


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== Slithy ==
== Slithy ==
Subgroup: 2.3.5.7
[[Comma list]]: 4000/3969, 420175/419904
[[Comma list]]: 4000/3969, 420175/419904


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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 540/539, 2200/2187, 4375/4356
Comma list: 540/539, 2200/2187, 4375/4356


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 325/324, 352/351, 540/539, 1575/1573
Comma list: 325/324, 352/351, 540/539, 1575/1573