Alphatricot family: Difference between revisions
m FloraC moved page Tricot family to Alphatricot family: Follow the specifications of ploidacot |
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The '''alphatricot family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[alphatricot comma]] ({{monzo|legend=1| 39 -29 3 }}, [[ratio]]: 68 719 476 736 000 / 68 630 377 364 883). | The '''alphatricot family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[alphatricot comma]] ({{monzo|legend=1| 39 -29 3 }}, [[ratio]]: 68 719 476 736 000 / 68 630 377 364 883). | ||
Strong 7-limit extensions of this temperament include alphatrimot (53 & 70), alphatrident (53 & 229) and alphatrillium (53 & 441). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads to alphatrimot, [[6144/6125|porwell comma]] (6144/6125) leads to alphatrident, and [[4375/4374|ragisma]] (4375/4374) leads to alphatrillium. | |||
== Alphatricot == | == Alphatricot == | ||
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[[Tp tuning #T2 tuning|RMS error]]: 0.2342 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.2342 cents | ||
; Scales | |||
* [[ | * [[Alphatricot17]] – proper [[2L 15s]] | ||
* [[ | * [[Alphatricot19]] – improper [[17L 2s]] | ||
== Alphatrimot == | == Alphatrimot == | ||
Alphatrimot, named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>, can be described as the 53 & 70 temperament. | Alphatrimot, named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>, can be described as the {{nowrap| 53 & 70 }} temperament. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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== Alphatrident == | == Alphatrident == | ||
Alphatrident, named by [[Xenllium]] in 2021, can be described as the 53 & 229 temperament. | Alphatrident, named by [[Xenllium]] in 2021 as ''trident'' but renamed following the specifications of ploidacot, can be described as the {{nowrap| 53 & 229 }} temperament. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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== Alphatrillium == | == Alphatrillium == | ||
Alphatrillium, also named by [[Xenllium]] in 2021, can be described as the 53 & 441 temperament. | Alphatrillium, also named by [[Xenllium]] in 2021 as ''trillium'' but renamed following the specifications of ploidacot, can be described as the {{nowrap| 53 & 441 }} temperament. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||