Rastmic rank-3 clan: Difference between revisions

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 * [[Jove]] (+441/440 or 540/539) → [[Breed family #Jove|Breed 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 ==
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 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
+=== Gunn ===
+[[Subgroup]]: 2.3.5.7.11.13.17.19
+[[Comma list]]: 729/728, 273/272, 153/152, 364/363, 1729/1728
+{{Mapping|24 38 48 48 83 108 98 102|0 0 1 0 0 0 0 0|0 0 0 1 0 -1 0 0|legend=1}}
+[[Optimal tuning|Optimal tunings]]:
+* [[WE]]: ~33/32 = 50.030{{c}}, ~5/4 = 384.859{{c}}, ~7/4 = 965.679{{c}}
+: [[error map]]: {{val|+0.724 -0.809 -0.007 -1.700 +1.185 -2.949 -2.000 +5.563}}
+* [[CWE]]: ~33/32 = 50.000{{c}}, ~5/4 = 384.837{{c}}, ~7/4 = 965.136{{c}}
+: error map: {{val|-0.000 -1.955 -1.476 -3.690 -1.318 -5.663 -4.955 2.487}}
+Supporting ETs: {{Edos|24p, 72, 48f, 24c, 24df, 48cf, 48d, 96d, 48cd, 24cdf}}
+[[Badness]] (Sintel): 3.285
 == Mirage ==
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 === 17-limit ===
+Mirage is very naturally a 17-limit temperament, relating 13 and 17 by tempering out [[273/272]], [[715/714]], [[833/832]], and [[936/935]]. Instead of 13/8, the second generator can also be the small comma tempered out by [[miraculous]].
 Subgroup: 2.3.5.7.11.13.17
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 Subgroup: 2.3.5.7.11.13.17.19
-Comma list: 225/224, 243/242, 273/272, 385/384, 400/399
+Comma list: 210/209, 225/224, 243/242, 273/272, 343/342
 {{Todo|complete temperament data|inline=1}}
@@ Line 262: / Line 304: @@
 Subgroup: 2.3.5.7.11.13.17.19.23
-Comma list: 225/224, 243/242, 273/272, 300/299, 385/384, 400/399
+Comma list: 210/209, 225/224, 243/242, 273/272, 300/299, 385/384
 {{Todo|complete temperament data|inline=1}}
@@ Line 270: / Line 312: @@
 Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 225/224, 243/242, 273/272, 324/323, 385/384
 {{Todo|complete temperament data|inline=1}}
-==== 23-limit ====
+=== Prism 23-limit ===
 Subgroup: 2.3.5.7.11.13.17.19.23
+Comma list: 225/224, 243/242, 273/272, 300/299, 324/323, 385/384
+{{Todo|complete temperament data|inline=1}}
+=== No-19 23-limit ===
+Subgroup: 2.3.5.7.11.13.17.23
+Comma list: 225/224, 243/242, 273/272, 300/299, 385/384
 {{Todo|complete temperament data|inline=1}}
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 [[Category:Temperament clans]]
 [[Category:Rastmic rank-3 clan| ]] <!-- main article -->
-[[Category:Rastmic| ]] <!-- key article -->
 [[Category:Rank 3]]