Metric microtemperaments: Difference between revisions

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 == Geb ==
-The geb temperament (171 &amp; 506, named after the earth god of ancient Egyptian religion) tempers out {{monzo| -31 43 -16 }} (quadla-quadquadgu) in the 5-limit; the meter and the euzenius comma, 78125000/78121827 as well as skeetsma (14348907/14336000, lalarutrigu) in the 7-limit. [[Breedsmic temperaments #Osiris|Osiris temperament]] (171&amp;670, named after the eldest son of Geb) tempers out the same 5-limit comma as the geb, but with the [[2401/2400|breedsma]] rather than the meter tempered out.
+: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Geb (5-limit)]].''
-[[Subgroup]]: 2.3.5
+The geb temperament (171 & 506, named after the earth god of ancient Egyptian religion) tempers out the meter and the [[euzenius comma]] (78125000/78121827) as well as [[skeetsma]] (14348907/14336000) in the 7-limit. [[Osiris]] (171 & 670, named after the eldest son of Geb) tempers out the same 5-limit comma as the geb, but with the [[2401/2400|breedsma]] rather than the meter tempered out.
-[[Comma list]]: {{monzo| -31 43 -16 }}
-{{Mapping|legend=1| 1 -3 -10 | 0 16 43 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8000/6561 = 343.868
-{{Optimal ET sequence|legend=1| 7, 143c, 150c, 157, 164, 171, 506, 677, 848 }}
-[[Badness]]: 0.118577
-=== 7-limit ===
 [[Subgroup]]: 2.3.5.7