Werckismic temperaments: Difference between revisions
Tags: Mobile edit Mobile web edit |
m Recategorize |
||
| (4 intermediate revisions by 2 users not shown) | |||
| Line 17: | Line 17: | ||
* ''[[Tiberius]]'' (+2048/2025) → [[Diaschismic rank-3 family #Tiberius|Diaschismic rank-3 family]] | * ''[[Tiberius]]'' (+2048/2025) → [[Diaschismic rank-3 family #Tiberius|Diaschismic rank-3 family]] | ||
* ''[[Belobog]]'' (+3136/3125) → [[Hemimean family #Belobog|Hemimean family]] | * ''[[Belobog]]'' (+3136/3125) → [[Hemimean family #Belobog|Hemimean family]] | ||
* ''[[Landy]]'' (+4375/4356) → [[Landscape family #Landy|Landscape family]] | |||
* ''[[Turan]]'' (+10976/10935) → [[Hemimage family #Turan|Hemimage family]] | * ''[[Turan]]'' (+10976/10935) → [[Hemimage family #Turan|Hemimage family]] | ||
* ''[[Snape]]'' (+19683/19600) → [[Cataharry family #Snape|Cataharry family]] | * ''[[Snape]]'' (+19683/19600) → [[Cataharry family #Snape|Cataharry family]] | ||
| Line 25: | Line 26: | ||
: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #History]].'' | : ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #History]].'' | ||
History splits the perfect fourth into six, each for [[21/20]][[~]][[22/21]]. A recommendable tuning is given by [[289edo]]. | History, named by [[Graham Breed]] some time before 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96550.html#96556 Yahoo! Tuning Group | ''Madagascar<nowiki>[</nowiki>19<nowiki>]</nowiki>'']</ref>, splits the perfect fourth into six, each for [[21/20]][[~]][[22/21]]. A recommendable tuning is given by [[289edo]]. | ||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
| Line 161: | Line 162: | ||
== Seminaiad == | == Seminaiad == | ||
: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Seminaiad]].'' | : ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Seminaiad]].'' | ||
Named by [[User:Xenllium|Xenllium]] in 2026, seminaiad is a weak extension of [[No-threes subgroup temperaments #No-threes naiad|no-threes naiad]]. It splits ~13/5 in two to represent ~21/13. | |||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
| Line 209: | Line 212: | ||
Badness (Sintel): 1.748 | Badness (Sintel): 1.748 | ||
==== Seminaiadia ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 441/440, 833/832, 847/845, 1001/1000 | |||
Mapping: {{mapping| 1 5 0 -2 3 2 12 | 0 -11 0 8 -6 -2 -18 | 0 0 1 1 1 1 -1 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1199.925{{c}}, ~26/21 = 372.566{{c}}, ~5/4 = 387.117{{c}} | |||
* CWE: ~2 = 1200.000{{c}}, ~26/21 = 372.594{{c}}, ~5/4 = 387.080{{c}} | |||
{{Optimal ET sequence|legend=0| 16, 29, 45ef, 58, 87, 103, 145, 161, 190 }} | |||
Badness (Sintel): 1.284 | |||
== References == | |||
[[Category:Werckismic temperaments| ]] <!-- main article --> | |||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category: | [[Category:Catalogs of rank-3 temperaments]] | ||