Vydubychi: Difference between revisions

Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Eliora (talk | contribs)
expand, there is an extension up higher
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'''Vydubychi''' is a rank-two temperament which is produced by temperament-merging [[311edo]] and [[313edo]].
'''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.


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.


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.


== Vydubychi ==
== Vydubychi ==
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Optimal tuning (CTE): ~847/600 = 598.075
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]]
[[Category:Rank 2]]