Vydubychi: Difference between revisions

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'''Vydubychi''' is a rank-two temperament which is produced by temperament-merging [[311edo]] and [[313edo]].
'''Vydubychi''' is a [[Rank-2 temperament|rank-two temperament]] which is produced by [[Temperament merging|temperament-merging]] [[311edo]] and [[313edo]]. The temperament can also be described as 311 & [[624edo|624]], which is the canonical way to extend it as high as the [[23-limit]].


311edo and 313edo are known for two reasons: one is due to it's high consistency, and the second one due to its usage by [[Sevish]]. It is not common for two EDOs quite close to each other in the hundreds to be notable this way.
311edo and 313edo are known for two reasons: one is due to it's high consistency, and the second one due to its usage by [[Sevish]]. It is not common for two EDOs quite close to each other in the hundreds to be notable this way.
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The temperament derives its way from a bus station and a historical area in Kyiv, Ukraine, where buses number 311 and 313 both terminate.
The temperament derives its way from a bus station and a historical area in Kyiv, Ukraine, where buses number 311 and 313 both terminate.


Since 313edo is consistent only in the 11-limit, this is how high the temperament is defined.
[[935edo]] is excellent for this temperament, with generator of 466\935, and [[mos scale]]s of 311, 313 or 624 notes are available.


== Vydubychi ==
See [[Supermatertismic temperaments]] for more technical data.


=== 5-limit ===
[[Category:Vydubychi| ]] <!-- main article -->
Subgroup: 2.3.5
[[Category:Rank-2 temperaments]]
 
[[Category:Supermatertismic temperaments]]
Comma list: {{Monzo|299 -111 -53}}
 
Mapping: [{{Val|1 28 -53}}, {{Val|0 -53 111}}]
 
Optimal tuning (CTE): ~{{Monzo|119 -44 -21}} = 598.075
 
Vals: 311, 313, 624, 935, 1246, 1248, 1559, 1870, 2183, 2494
 
=== 7-limit ===
Subgroup: 2.3.5.7
 
Comma list: 52734375/52706752, 2199023255552/2197176384375
 
Mapping: [{{Val|1 28 -53 -57}}, {{Val|0 -53 111 120}}]
 
Optimal tuning (CTE): ~10125/7168 = 598.075
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 131072/130977, 759375/758912, 151263/151250
 
Mapping: [{{Val|1 28 -53 -57 -9}}, {{Val|0 -53 111 120 25}}]
 
Optimal tuning (CTE): ~847/600 = 598.075