Metric microtemperaments: Difference between revisions
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* [[Wizmic microtemperaments #Qak|Qak]] | * [[Wizmic microtemperaments #Qak|Qak]] | ||
= Luminal = | == Luminal == | ||
Luminal tempers out the [[meter comma|meter]] and the [[lux comma|lux]] in the 7-limit, [[3025/3024]] in the 11-limit, [[2080/2079]], [[4096/4095]] in the 13-limit, and [[1156/1155]] and [[2601/2600]] in the 17-limit. | Luminal tempers out the [[meter comma|meter]] and the [[lux comma|lux]] in the 7-limit, [[3025/3024]] in the 11-limit, [[2080/2079]], [[4096/4095]] in the 13-limit, and [[1156/1155]] and [[2601/2600]] in the 17-limit. | ||
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[[Badness]]: 0.134822 | [[Badness]]: 0.134822 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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Badness: 0.032816 | Badness: 0.032816 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 55: | Line 55: | ||
Badness: 0.016849 | Badness: 0.016849 | ||
== 17-limit == | === 17-limit === | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 68: | Line 68: | ||
Badness: 0.014674 | Badness: 0.014674 | ||
= Decimetra = | == Decimetra == | ||
The ''decimetra'' temperament (50&140, named by [[User:Xenllium|Xenllium]]) tempers out the [[Procyon clan|Procyon comma]], 823543/820125 = {{monzo|0 -8 -3 7}} as well as [[15/14ths equal temperament|linus comma]]. | The ''decimetra'' temperament (50&140, named by [[User:Xenllium|Xenllium]]) tempers out the [[Procyon clan|Procyon comma]], 823543/820125 = {{monzo|0 -8 -3 7}} as well as [[15/14ths equal temperament|linus comma]]. | ||
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[[Badness]]: 0.121818 | [[Badness]]: 0.121818 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 98: | Line 98: | ||
Badness: 0.056915 | Badness: 0.056915 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.029297 | Badness: 0.029297 | ||
= Stockhausenic = | == Stockhausenic == | ||
The ''stockhausenic'' temperament (140&183, named by [[User:Xenllium|Xenllium]]) is related to [[25ed5|25ED5]] tuning, and tempers out the ''hemfiness'' comma (saquadru-atriyo, named by Xenllium), 4096000/4084101 = {{monzo|15 -5 3 -5}}. | The ''stockhausenic'' temperament (140&183, named by [[User:Xenllium|Xenllium]]) is related to [[25ed5|25ED5]] tuning, and tempers out the ''hemfiness'' comma (saquadru-atriyo, named by Xenllium), 4096000/4084101 = {{monzo|15 -5 3 -5}}. | ||
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[[Badness]]: 0.088753 | [[Badness]]: 0.088753 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 141: | Line 141: | ||
Badness: 0.056043 | Badness: 0.056043 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 154: | Line 154: | ||
Badness: 0.029947 | Badness: 0.029947 | ||
== 17-limit == | === 17-limit === | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 167: | Line 167: | ||
Badness: 0.019205 | Badness: 0.019205 | ||
= Geb = | == Geb == | ||
The ''geb'' temperaent (171&506, named after the earth god of ancient Egyptian religion by [[User: Xenllium|Xenllium]]) 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&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. | The ''geb'' temperaent (171&506, named after the earth god of ancient Egyptian religion by [[User: Xenllium|Xenllium]]) 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&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. | ||
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[[Badness]]: 0.118577 | [[Badness]]: 0.118577 | ||
== 7-limit == | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||