Ragismic microtemperaments: Difference between revisions
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Move chlorine back according to XW:TEMPCAT now that everything is sorted out |
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* ''[[Vacuum]]'' (+{{monzo| -68 18 17 }}) → [[Vavoom family #Vacuum|Vavoom family]] | * ''[[Vacuum]]'' (+{{monzo| -68 18 17 }}) → [[Vavoom family #Vacuum|Vavoom family]] | ||
* [[Ennealimmal]] (+2401/2400) → [[Septiennealimmal clan #Ennealimmal|Septiennealimmal clan]] | * [[Ennealimmal]] (+2401/2400) → [[Septiennealimmal clan #Ennealimmal|Septiennealimmal clan]] | ||
* ''[[Dzelic]]'' (+{{monzo|-223 47 -11 62}}) → [[37th-octave temperaments #Dzelic|37th-octave temperaments]] | * ''[[Dzelic]]'' (+{{monzo|-223 47 -11 62}}) → [[37th-octave temperaments #Dzelic|37th-octave temperaments]] | ||
Considered below, sorted by [[badness]], are supermajor, enneadecal, semidimi, brahmagupta, abigail, gamera, crazy, orga, octoid, seniority, monzismic, semidimfourth, acrokleismic, quasithird, quincy, deca, keenanose, counterkleismic, sfourth, aluminium, ragitritonic, quatracot, trideci, moulin, and palladium. | Considered below, sorted by [[badness]], are supermajor, enneadecal, semidimi, brahmagupta, abigail, gamera, crazy, orga, chlorine, octoid, seniority, monzismic, semidimfourth, acrokleismic, quasithird, quincy, deca, keenanose, counterkleismic, sfourth, aluminium, ragitritonic, quatracot, trideci, moulin, and palladium. | ||
== Supermajor == | == Supermajor == | ||
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Badness (Sintel): 0.899 | Badness (Sintel): 0.899 | ||
== Chlorine == | |||
: ''For the 5-limit version, see [[17th-octave temperaments #Chlorine]].'' | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 4375/4374, {{monzo| -49 4 22 -3 }} | |||
{{Mapping|legend=1| 17 0 26 -87 | 0 2 1 10 }} | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~25/24 = 70.5880{{c}}, ~{{monzo| 24 -5 -9 2 }} = 950.9962{{c}} | |||
: [[error map]]: {{val| -0.004 +0.037 -0.030 -0.019 }} | |||
* [[CWE]]: ~25/24 = 70.5882{{c}}, ~{{monzo| 24 -5 -9 2 }} = 950.9990{{c}} | |||
: error map: {{val| 0.000 +0.043 -0.021 -0.013 }} | |||
{{Optimal ET sequence|legend=1| 289, 323, 612, 935, 1547, 3706, 5253 }} | |||
[[Badness]] (Sintel): 1.05 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 4375/4374, 41503/41472, 1879453125/1879048192 | |||
Mapping: {{mapping| 17 0 26 -87 207 | 0 2 1 10 -11 }} | |||
Optimal tunings: | |||
* WE: ~25/24 = 70.5905{{c}}, ~693/400 = 951.0054{{c}} | |||
* CWE: ~25/24 = 70.5882{{c}}, ~693/400 = 950.9754{{c}} | |||
{{Optimal ET sequence|legend=0| 289, 323, 612, 3349de, 3961de, …, 5797ddee }} | |||
Badness (Sintel): 2.11 | |||
== Octoid == | == Octoid == | ||