22nd-octave temperaments: Difference between revisions

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[[22edo]] is a notable tuning system, and as such it gives rise to some fractional-octave temperaments. This page accommodates a number of temperaments that are otherwise difficult to catalog because they belong to multiple families. ~~Vigintiduo has the same 7-limit mapping as 22et with harmonic 11 mapped to an independent generator. Vigin has the same 11-limit mapping as 22et with harmonic 13 mapped to an independent generator.~~

[[22edo]] is a notable tuning system, and as such it gives rise to some fractional-octave temperaments. This page accommodates a number of temperaments that are otherwise difficult to catalog because they belong to multiple families.

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 {{Fractional-octave navigation|22}}
-[[22edo]] is a notable tuning system, and as such it gives rise to some fractional-octave temperaments. This page accommodates a number of temperaments that are otherwise difficult to catalog because they belong to multiple families. Vigintiduo has the same 7-limit mapping as 22et with harmonic 11 mapped to an independent generator. Vigin has the same 11-limit mapping as 22et with harmonic 13 mapped to an independent generator.
+[[22edo]] is a notable tuning system, and as such it gives rise to some fractional-octave temperaments. This page accommodates a number of temperaments that are otherwise difficult to catalog because they belong to multiple families.
 See also:
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 == Vigintiduo ==
+''Vigintiduo'' has the same 7-limit mapping as 22et with harmonic 11 mapped to an independent generator.
 [[Subgroup]]: 2.3.5.7.11
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 == Vigin ==
+''Vigin'' has the same 11-limit mapping as 22et with harmonic 13 mapped to an independent generator.
 [[Subgroup]]: 2.3.5.7.11.13
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 == Major arcana ==
-Named after a subset of Tarot cards of which there is 22. Tempers out the {{monzo|-193 154 -22}} comma in the 5-limit. Can be conceptualized as a more precise version of icosidillic in the 5-limit and the 7-limit bearing the same [[pergen]] (P8/22, P5), however there's no single way to extend it to the 11-limit due to inconsistency.
+''Major arcana'' is named after a subset of Tarot cards of which there is 22. Tempers out the {{monzo|-193 154 -22}} comma in the 5-limit. Can be conceptualized as a more precise version of icosidillic in the 5-limit and the 7-limit bearing the same [[pergen]] (P8/22, P5), however there's no single way to extend it to the 11-limit due to inconsistency.
 Subgroup: 2.3.5
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 [[Support]]ing [[ET]]s: {{EDOs|176, 506, 682}}
-== Bibium ==
+== Titanium ==
-Bibium is named after an "extended provisional name" for the 22nd element [[wikipedia:titanium|titanium]], which is needed to resolve a name conflict as [[Titanium]] is already a temperament. It reaches [[11/8]] and [[7/6]] in one generator, and as a corollary tempers [[96/77]] to 7 steps of 22edo.
+''Titanium'' is named after the 22nd element after the previous temperament called "titanium" was found to be the same thing as [[beep]]. It reaches [[11/8]] and [[7/6]] in one generator, and as a corollary tempers [[96/77]] to 7 steps of 22edo.
 Subgroup: 2.3.5.7.11