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| Comma basis = [[729/728]], [[273/272]], [[153/152]], [[364/363]], [[1729/1728]]
| Comma basis = [[729/728]], [[273/272]], [[153/152]], [[364/363]], [[1729/1728]]
| Edo join 1 = 24c | Edo join 2 = 24 | Edo join 3 = 72
| Edo join 1 = 24c | Edo join 2 = 24 | Edo join 3 = 72
| Mapping = 24; 0 0 1 0 0 0 0 0; 0 0 0 1 0 -1 0 0
| Mapping = 24; 0 1 0 0 0 0 0; 0 0 1 0 -1 0 0
| Generators = 33/32, 5/4, 7/4 | Generators tuning = 50.000; 384.84; 965.14
| Generators = 33/32, 5/4, 7/4 | Generators tuning = 50.00; 384.84; 965.14
| Optimization method = CWE
| Optimization method = CWE
}}
}}
Gunn temperament 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 maps out many interesting 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 ==
[[Subgroup]]: 2.3.5.7.11.13.17.19


[[Comma list]]: 729/728, 273/272, 153/152, 364/363, 1729/1728
''For technical temperament data, go to [[Rastmic rank-3 clan#Gunn]].''


{{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 }}
== 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.


[[Optimal tuning]]s:
''For technical temperament data, go to [[Compton family#Catler]].''
* [[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 }}


{{Optimal ET sequence|legend=1| 24p, 72, 48f, 24c, 24df, 48cf, 48d, 96d, 48cd, 24cdf}}
== Etymology ==
The name is coined after the name of [[User:Zeta Function]]'s former high school. In addition, its high complexity also accurately reflects the nerdy nature of Gunn HS and stands in contrast to the simplicity of Compton. The name of Paly is derived from Palo Alto High School, the other high school in Palo Alto.


Badness (Sintel): 3.285
[[Category:Rank-3 temperaments]]
 
[[Category:Compton]]
[[Category:Rank-3 temperaments]] [[Category:Compton]]
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