Aberschismic temperaments: Difference between revisions
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Document the jorgensen temperament |
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* ''[[Alphaquarter]]'' (+29360128/29296875) → [[Escapade family #Alphaquarter|Escapade family]] | * ''[[Alphaquarter]]'' (+29360128/29296875) → [[Escapade family #Alphaquarter|Escapade family]] | ||
Considered below are septiquarter, ketchup, undecental, leapday, mystery, hemidromeda, countriton, artoneutral and | Considered below are septiquarter, ketchup, undecental, leapday, mystery, hemidromeda, countriton, artoneutral, quanic and jorgensen, in the order of increasing [[TE logflat badness]]. | ||
== Septiquarter == | == Septiquarter == | ||
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Badness (Sintel): 1.05 | Badness (Sintel): 1.05 | ||
== Jorgensen == | |||
: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Jorgensen]].'' | |||
Jorgensen tempers out the [[linus comma]] in addition to the hemifamity comma, and may be described as the {{nowrap| 70 & 140 }} temperament, with a 70th-octave period. Its ploidacot is 70-ploid acot. | |||
It is the natural 7-limit extension of the 5-limit temperament tempering out the 70-comma, named by [[Mike Battaglia]] in 2012 for historical interests<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_103982.html Yahoo! Tuning Group | ''Jorgensen Temperament'']</ref>. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 5120/5103, 578509309952/576650390625 | |||
{{Mapping|legend=1| 70 111 0 34 | 0 0 1 1 }} | |||
: mapping generators: ~50421/50000, ~5 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~50421/50000 = 17.1387{{c}}, ~5/4 = 386.8071{{c}} | |||
: [[error map]]: {{val| -0.288 +0.445 -0.084 +0.121 }} | |||
* [[CWE]]: ~50421/50000 = 17.1429{{c}}, ~5/4 = 386.6593{{c}} | |||
: error map: {{val| 0.000 +0.902 +0.346 +0.690 }} | |||
{{Optimal ET sequence|legend=1| 70, 140, 350, 490 }} | |||
[[Badness]] (Sintel): 5.40 | |||
== References == | |||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||