17th-octave temperaments: Difference between revisions

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 == Chlorine ==
+: ''For extensions, see [[Ragismic microtemperaments #Chlorine]].''
 Chlorine has a period of 1/17 octave. It tempers out {{monzo| -52 -17 34 }}, the [[septendecima]], by which 17 classical chromatic semitones ((25/24)<sup>17</sup>) exceed an octave. This temperament can be described as 289 & 323 temperament, which tempers out {{monzo| -49 4 22 -3 }} as well as the ragisma. Not only the semitwelfth, but also the ~5/4 can be used as a generator.
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 [[Badness]] (Sintel): 1.81
-=== 7-limit ===
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 4375/4374, {{monzo| -49 4 22 -3 }}
-{{Mapping|legend=1| 17 0 26 -87 | 0 2 1 10 }}
-[[Optimal tuning]]s:
-* [[WE]]: ~25/24 = 70.5880{{c}}, ~{{monzo| 24 -5 -9 2 }} = 950.9962{{c}}
-: [[error map]]: {{val| -0.004 +0.037 -0.030 -0.019 }}
-* [[CWE]]: ~25/24 = 70.5882{{c}}, ~{{monzo| 24 -5 -9 2 }} = 950.9990{{c}}
-: error map: {{val| 0.000 +0.043 -0.021 -0.013 }}
-{{Optimal ET sequence|legend=1| 289, 323, 612, 935, 1547, 3706, 5253 }}
-[[Badness]] (Sintel): 1.05
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 4375/4374, 41503/41472, 1879453125/1879048192
-Mapping: {{mapping| 17 0 26 -87 207 | 0 2 1 10 -11 }}
-Optimal tunings:
-* WE: ~25/24 = 70.5905{{c}}, ~693/400 = 951.0054{{c}}
-* CWE: ~25/24 = 70.5882{{c}}, ~693/400 = 950.9754{{c}}
-{{Optimal ET sequence|legend=0| 289, 323, 612, 3349de, 3961de, …, 5797ddee }}
-Badness (Sintel): 2.11
 {{Navbox fractional-octave}}
 [[Category:17edo]]

17th-octave temperaments: Difference between revisions

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