Vydubychi: Difference between revisions

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'''Vydubychi''' is a rank-two temperament which is produced by 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.
'''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.


== Vydubychi ==
[[935edo]] is excellent for this temperament, with generator of 466\935, and [[mos scale]]s of 311, 313 or 624 notes are available.


=== 5-limit ===
See [[Supermatertismic temperaments]] for more technical data.
Subgroup: 2.3.5


Comma list: {{Monzo|299 -111 -53}}
[[Category:Vydubychi| ]] <!-- main article -->
 
[[Category:Rank-2 temperaments]]
Mapping: [{{Val|1 28 -53}}, {{Val|0 -53 111}}]
[[Category:Supermatertismic temperaments]]
 
Optimal tuning (CTE): ~{{Monzo|119 -44 -21}} = 598.075
 
{{Optimal ET sequence|legend=1|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
 
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 2080/2079, 4096/4095, 91125/91091, 151263/151250
 
Mapping: [{{Val|1 28 -53 -57 -9 66}}, {{Val|0 -53 111 120 25 -125}}]
 
Optimal tuning (CTE): ~572/405 = 598.075
 
=== 17-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 2080/2079, 2058/2057, 2500/2499, 4096/4095, 11016/11011
 
Mapping: [{{Val|1 28 -53 -57 -9 66 -124}}, {{Val|0 -53 111 120 25 -125 257}}]
 
Optimal tuning (CTE): ~572/405 = 598.074
 
=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 2080/2079, 2500/2499, 3136/3135, 5985/5984, 11016/11011
 
Mapping: [{{Val|1 28 -53 -57 -9 66 -124 -74}}, {{Val|0 -53 111 120 25 -125 257 157}}]
 
Optimal tuning (CTE): ~572/405 = 598.074
 
=== 23-limit ===
Subgroup: 2.3.5.7.11.13.17.19.23
 
Comma list: 2025/2024, 2080/2079, 2500/2499, 3136/3135, 5985/5984, 8625/8624
 
Mapping: [{{Val|1 28 -53 -57 -9 66 -124 -74 12}}, {{Val|0 -53 111 120 25 -125 257 157 -15}}]
 
Optimal tuning (CTE): ~572/405 = 598.074
[[Category:Rank 2]]

Latest revision as of 14:50, 28 April 2025

Vydubychi is a rank-two temperament which is produced by temperament-merging 311edo and 313edo. The temperament can also be described as 311 & 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.

The temperament derives its way from a bus station and a historical area in Kyiv, Ukraine, where buses number 311 and 313 both terminate.

935edo is excellent for this temperament, with generator of 466\935, and mos scales of 311, 313 or 624 notes are available.

See Supermatertismic temperaments for more technical data.