Rastmic rank-3 clan: Difference between revisions

m - redundant category
Move rabic here
 
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* [[Jove]] (+441/440 or 540/539) → [[Breed family #Jove|Breed family]]
* [[Jove]] (+441/440 or 540/539) → [[Breed family #Jove|Breed family]]
* ''[[Hagrid]]'' (+9801/9800) → [[Cataharry family #Hagrid|Cataharry family]]
* ''[[Hagrid]]'' (+9801/9800) → [[Cataharry family #Hagrid|Cataharry family]]
* ''[[Rabic]]'' (+131769/131072) → [[Alphaxenic rank-3 clan #Betarabian|Alphaxenic rank-3 clan]]


Considered below are spectacle, mirwomo, mandos, cuckoo, parahemif, urania, and mirage.  
Considered below are spectacle, mirwomo, mandos, cuckoo, parahemif, urania, rabic, and mirage.  


== Spectacle ==
== Spectacle ==
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Scales: [[urania24]]
Scales: [[urania24]]
== Rabic ==
If the rastma is added to the list of commas along with the [[Alpharabian comma]], you end up with rabic, which splits the octave into 24 equal parts. This temperament is named as such by [[Aura]] in 2022 because tempering out both the Alpharabian comma and the rastma automatically tempers out the [[Betarabian comma]].
[[Subgroup]]: 2.3.5.7.11
[[Comma list]]: 243/242, 131769/131072
{{Mapping|legend=1| 24 38 0 0 83 | 0 0 1 0 0 | 0 0 0 1 0 }}
: mapping generators: ~33/32, ~5, ~7
[[Optimal tuning]]s:
* [[WE]]: ~33/32 = 50.0220{{c}}, ~5/4 = 385.0647{{c}}, ~7/4 = 967.3158{{c}}
: [[error map]]: {{val| +0.538 -1.104 -0.002 -0.002 +0.541 }}
* [[CWE]]: ~33/32 = 50.0000{{c}}, ~5/4 = 385.0647{{c}}, ~7/4 = 967.3158{{c}}
: error map: {{val| 0.000 -1.955 -0.937 -1.133 -1.318 }}
{{Optimal ET sequence|legend=1| 24, 48(d), 72, 264, 336b, 408b, 480bcde }}
[[Badness]] (Sintel): 7.30


== Mirage ==
== Mirage ==