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'''Gunn''' is a [[rank-3 temperament]] in the [[compton family]] that tempers out [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic.
'''Gunn''' is a [[fractional-octave temperaments|24th-octave]] [[rank-3 temperament]] that tempers out [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic. In addition, it tempers out the [[pythagorean comma]].  


== Technical temperament data ==
''For technical temperament data, go to [[Rastmic rank-3 clan#Gunn]].''
[[Subgroup]]: 2.3.5.7.11.13.17.19
 
[[Comma list]]: 729/728, 273/272, 153/152, 364/363, 1729/1728
 
{{Mapping|legend=1|24 38 48 48 83 108 98 102 | 0 0 1 0 0 0 0 0 | 0 0 0 1 0 -1 0 0 }}
 
[[Optimal tuning]]s:
* [[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


== Paly ==
== Paly ==
Adding the [[syntonic comma]] or the [[schisma]] to the list of commas tempered out results in Paly, a meantone/compton temperament. Notably, this temperament performs much worse with prime 5 than Gunn, likely due to prime 5 being mapped onto the 24edo-ish structure.
Adding the [[syntonic comma]] or the [[schisma]] to the list of commas tempered out results in Paly, a meantone/compton temperament. Notably, this temperament performs much worse with prime 5 than Gunn, likely due to prime 5 being mapped onto the 24edo-ish structure.


=== Technical temperament data ===
''For technical temperament data, go to [[Compton family#Catler]].''
[[Subgroup]]: 2.3.5.7.11.13.17.19
 
[[Comma list]]: 81/80, 91/90, 51/50, 128/125, 76/75, 121/120
 
{{Mapping|legend=1|24 38 56 48 83 108 98 102|0 0 0 1 0 -1 0 0}}
 
[[Optimal tuning]]s:
* [[WE]]: ~33/32 = 49.994{{c}}, ~7/4 = 965.340{{c}}
: [[error map]]: {{val| -0.144 -2.183 +13.350 -3.774 -1.816 -6.516 -5.543 +1.875 }}
* [[CWE]]: ~33/32 = 50.000{{c}}, ~7/4 = 965.449{{c}}
: error map: {{val| -0.000 -1.955 +13.686 -3.377 -1.318 -5.977 -4.955 +2.487 }}
 
Edo join: 24 & 48cf
 
[[Badness]] (Sintel): 2.383


== Etymology ==
== Etymology ==
Retrieved from "https://en.xen.wiki/w/Gunn"