Jubilismic family: Difference between revisions

← Older edit Newer edit →

VisualWikitext

@@ Line 1: / Line 1: @@
 The '''jubilismic family''' contains temperaments that temper out the [[jubilisma|jubilisma (50/49)]] (also called tritonic diesis, or septimal sixth-tone). It therefore identifies the two septimal tritones [[7/5]] and [[10/7]], an identification familiar from [[12edo]]. While most rank-three temperaments are planar, a jubilismic temperament divides the octave in two.
-[[Comma]]: 50/49
+= Jubilismic =
+[[Comma list]]: 50/49
-and 9 limit minimax tuning
+Minimax tuning:
+* 7- and 9-odd-limit
+: [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| -1/4 0 1/2 1/2 }}, {{monzo| 1/4 0 1/2 1/2 }}]
+: [[Eigenmonzo]]s: 2, 3/2, 35/32
-[|1 0 0 0&gt;, |0 1 0 0&gt;, |-1/4 0 1/2 1/2&gt;,
+[[Mapping]]: [{{val| 2 0 0 1 }}, {{val| 0 1 0 0 }}, {{val| 0 0 1 1 }}]
-|1/4 0 1/2 1/2&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 3/2, 35/32
+Mapping [[generator]]s: ~7/5, ~3, ~5
-Map: [&lt;2 0 0 1|, &lt;0 1 0 0|, &lt;0 0 1 1|]
+{{Val list|legend=1| 10, 12, 22, 26, 38, 48 }}
-[[generator|Generators]]: 7/5, 3, 5
+Scales: [[jubilismic10]], [[jubilismic12]]
-[[EDO|Edos]]: [[10edo|10]], [[12edo|12]], [[22edo|22]], [[26edo|26]], [[38edo|38]], [[48edo|48]]
+= Jubilee =
+Comma list: 50/49, 99/98
-Scales: [[jubilismic10|jubilismic10]]
+Mapping: [{{val| 2 0 0 1 4 }}, {{val| 0 1 0 0 -2 }}, {{val| 0 0 1 1 2 }}]
-==Jubilee==
+{{Val list|legend=1| 12, 22, 48 }}
-Commas: 50/49, 99/98
-Map: [&lt;2 0 0 1 4|, &lt;0 1 0 0 -2|, &lt;0 0 1 1 2|]
+Badness: 0.600 × 10<sup>-3</sup>
-EDOS: 12, 22, 48
+= Festival =
+Comma list: 50/49, 45/44
-Badness: 0.000600
+Mapping: [{{val| 2 0 0 1 -4 }}, {{val| 0 1 0 0 2 }}, {{val| 0 0 1 1 1 }}]
-==Festival==
+{{Val list|legend=1| 10, 12, 26 }}
-Commas: 50/49, 45/44
-Map: [&lt;2 0 0 1 -4|, &lt;0 1 0 0 2|, &lt;0 0 1 1 1|]
+Badness: 0.689 × 10<sup>-3</sup>
-EDOs: 10, 12, 26
+= Fiesta =
+Comma list: 50/49, 56/55
-Badness: 0.000689
+Mapping: [{{val| 2 0 0 1 7 }}, {{val| 0 1 0 0 0 }}, {{val| 0 0 1 1 0 }}]
-==Fiesta==
+{{Val list|legend=1| 10, 12 }}
-Commas: 50/49, 56/55
-Map: [&lt;2 0 0 1 7|, &lt;0 1 0 0 0|, &lt;0 0 1 1 0|]
+Badness: 0.717 × 10<sup>-3</sup>
-EDOs: 10, 12
+= Jamboree =
+Comma list: 50/49, 55/54
-Badness: 0.000717
+Mapping: [{{val| 2 0 0 1 2 }}, {{val| 0 1 0 0 3 }}, {{val| 0 0 1 1 -1 }}]
-==Jamboree==
+{{Val list|legend=1| 10, 22 }}
-Commas: 50/49, 55/54
-Map: [&lt;2 0 0 1 2|, &lt;0 1 0 0 3|, &lt;0 0 1 1 -1|]
+Badness: 0.781 × 10<sup>-3</sup>
-EDOs: 10, 22
-Badness: 0.000781
 [[Category:Theory]]
 [[Category:Temperament family]]
 [[Category:Jubilismic]]
+[[Category:Rank 3]]
-[[Category:Todo:cleanup]]
+{{todo| improve readability }}