Hewuermera temperaments: Difference between revisions

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-These are rank-two temperaments that temper out the ''hewuermera'' comma (named by [[User:Xenllium|Xenllium]]), 589824/588245 = {{monzo|16 2 -1 -6}}.
+{{Technical data page}}
+'''Hewuermera''' [[rank two temperament]]s temper out the ''hewuermera'' comma, [[589824/588245]] = {{monzo|16 2 -1 -6}} (satribiru-agu), the amount by which a stack of six [[8/7]]s exceed 20/9 (minor whole tone [[10/9]] plus an octave).
-Temperaments dicussed elsewhere include:
+Full 7-limit temperaments discussed elsewhere are:
-* [[Meantone family #Cynder|Cynder]]
+* [[Mothra]] (+81/80) → [[Meantone family #Mothra|Meantone family]]
-* [[Würschmidt family #Hemiwürschmidt|Hemiwürschmidt]]
+* ''[[Casablanca]]'' (+126/125) → [[Starling temperaments #Casablanca|Starling temperaments]]
-* [[Starling temperaments #Casablanca|Casablanca]]
+* ''[[Slender]]'' (+225/224) → [[Marvel temperaments #Slender|Marvel temperaments]]
-* [[Marvel temperaments #Slender|Slender]]
+* ''[[Lemongrass]]'' (+245/243) → [[Buzzardsmic clan #Lemongrass|Buzzardsmic clan]]
-* [[Ragismic microtemperaments #Gamera|Gamera]]
+* ''[[Hemiwürschmidt]]'' (+2401/2400) → [[Hemimean clan #Hemiwürschmidt|Hemimean clan]]
-* [[Hemifamity temperaments #Septiquarter|Septiquarter]]
+* ''[[Gamera]]'' (+4375/4374) → [[Ragismic microtemperaments #Gamera|Ragismic microtemperaments]]
-* [[Mirkwai clan #Eris|Eris]]
+* ''[[Septiquarter]]'' (+5120/5103) → [[Hemifamity temperaments #Septiquarter|Hemifamity temperaments]]
+* ''[[Eris]]'' (+16875/16807) → [[Mirkwai clan #Eris|Mirkwai clan]]
+* ''[[Hemiquintile]]'' (+19683/19600) → [[Quintile family #Hemiquintile|Quintile family]]
+* ''[[Pogo]]'' (+32805/32768) → [[Schismatic family #Pogo|Schismatic family]]
+* ''[[Bosonic]]'' (+321489/320000) → [[26th-octave temperaments #Bosonic|26th-octave temperaments]]
-[[Category:Temperament]]
+== Hemidimfi ==
+The ''hemidimfi'' (130&amp;193) has a generator of 304.6 cents (about a half of [[64/45]] tritone) and tempers out the hewuermera (589824/588245) and the breeze comma ([[2460375/2458624]]).
+Subgroup: 2.3.5.7
+[[Comma list]]: 589824/588245, 2460375/2458624
+[[Mapping]]: [{{val|1 -4 14 -1}}, {{val|0 22 -46 15}}]
+[[POTE generator]]: ~343/288 = 304.639
+{{Optimal ET sequence|legend=1| 63, 130, 323, 453, 776 }}
+[[Badness]]: 0.083491
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 540/539, 12005/11979, 16384/16335
+Mapping: [{{val|1 -4 14 -1 6}}, {{val|0 22 -46 15 -10}}]
+POTE generator: ~105/88 = 304.641
+{{Optimal ET sequence|legend=1| 63, 130, 193, 323e }}
+Badness: 0.052236
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 364/363, 540/539, 676/675, 4096/4095
+Mapping: [{{val|1 -4 14 -1 6 7}}, {{val|0 22 -46 15 -10 -13}}]
+POTE generator: ~105/88 = 304.639
+{{Optimal ET sequence|legend=1| 63, 130, 193, 323e, 453e, 776eef }}
+Badness: 0.030433
+[[Category:Temperament collections]]
 [[Category:Rank 2]]