Horwell temperaments: Difference between revisions

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 == Fifthplus ==
+Fifthplus (22&amp;171) tempers out the sesesix comma, {{monzo|-74 13 23}} in the 5-limit. The name "fifthplus" means using a sharp fifth interval (such as [[superpyth]] fifth) as a generator.
 Subgroup: 2.3.5.7
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 The oquatonic has a period of 1/28 octave and tempers out the horwell (65625/65536) and the dimcomp (390625/388962), as well as the [[Hemfiness temperaments|hemfiness]] (4096000/4084101, saquinru-atriyo). In this temperament, major third of [[5/4]] is mapped into 9\28.
+=== 7-limit ===
 Subgroup: 2.3.5.7
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 [[Badness]]: 0.088286
+==== 2.3.5.7.13 ====
+Subgroup: 2.3.5.7.13
+Comma list: 625/624, 4096/4095, 10985/10976
+Mapping: [{{val|28 44 65 79 104}}, {{val|0 1 0 -1 -1}}]
+POTE generator: ~105/104 = 16.4240
+Vals: {{Val list| 28, 56, 84, 140, 224, 364 }}
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 1375/1372, 6250/6237, 65625/65536
+Mapping: [{{val|28 44 65 79 98}}, {{val|0 1 0 -1 -3}}]
+POTE generator: ~99/98 = 16.3043
+Vals: {{Val list| 84, 140, 224, 364, 588, 1400cd, 1988cd, 2576ccdd }}
+Badness: 0.047853
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 625/624, 1375/1372, 2080/2079, 2200/2197
+Mapping: [{{val|28 44 65 79 98 104}}, {{val|0 1 0 -1 -3 -1}}]
+POTE generator: ~99/98 = 16.3146
+Vals: {{Val list| 84, 140, 224, 364, 588 }}
+Badness: 0.021968
 [[Category:Regular temperament theory]]