139edo: Difference between revisions

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~~== Theory ==~~

139edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val| 139 220 323 }} ([[patent val]]), {{val| 139 '''221''' 323 }} (139b), and {{val| 139 220 '''322''' }} (139c).

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Using the 139df val, it tempers out [[225/224]], 51200/50421, and 157464/153125 in the 7-limit; [[99/98]], [[176/175]], and 15309/15125 in the 11-limit, supporting the 11-limit [[Marvel temperaments #Interpental|interpental]] temperament; 144/143, 648/637, [[847/845]], [[1575/1573]], and 3159/3125 in the 13-limit.

Using the 139ce val, it tempers out 3125/3072 ([[magic comma]]) and ~~22876792454961/21990232555520~~ in the 5-limit; 1029/1024, [[3125/3087]], and [[19683/19600]] in the 7-limit, supporting the 7-limit [[trismegistus]] temperament; 540/539, 1331/1323, and 1815/1792 in the 11-limit; [[275/273]], [[325/324]], 847/845, 1287/1280, and 1575/1573 in the 13-limit.

Using the 139ce val, it tempers out 3125/3072 ([[magic comma]]) and {{monzo| -42 28 -1 }} in the 5-limit; 1029/1024, [[3125/3087]], and [[19683/19600]] in the 7-limit, supporting the 7-limit [[trismegistus]] temperament; 540/539, 1331/1323, and 1815/1792 in the 11-limit; [[275/273]], [[325/324]], 847/845, 1287/1280, and 1575/1573 in the 13-limit.

Using the 139bdf val, it tempers out 393216/390625 ([[würschmidt comma]]), and 409600000/387420489 in the 5-limit; [[245/243]], 3125/3087, and 131072/127575 in the 7-limit; 176/175, 1232/1215, and 2560/2541 in the 11-limit; 275/273, [[512/507]], [[625/624]], 847/845, and 1625/1617 in the 13-limit.

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=== Odd harmonics ===

=== Subsets and supersets ===

139edo is the 34th [[prime edo]], following [[137edo]] and before [[149edo]].

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 {{Infobox ET}}
-{{EDO intro}}
+{{ED intro}}
-== Theory ==
 edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with three mappings possible for the 5-limit: {{val| 139 220 323 }} ([[patent val]]), {{val| 139 '''221''' 323 }} (139b), and {{val| 139 220 '''322''' }} (139c).
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 Using the 139df val, it tempers out [[225/224]], 51200/50421, and 157464/153125 in the 7-limit; [[99/98]], [[176/175]], and 15309/15125 in the 11-limit, supporting the 11-limit [[Marvel temperaments #Interpental|interpental]] temperament; 144/143, 648/637, [[847/845]], [[1575/1573]], and 3159/3125 in the 13-limit.
-Using the 139ce val, it tempers out 3125/3072 ([[magic comma]]) and 22876792454961/21990232555520 in the 5-limit; 1029/1024, [[3125/3087]], and [[19683/19600]] in the 7-limit, supporting the 7-limit [[trismegistus]] temperament; 540/539, 1331/1323, and 1815/1792 in the 11-limit; [[275/273]], [[325/324]], 847/845, 1287/1280, and 1575/1573 in the 13-limit.
+Using the 139ce val, it tempers out 3125/3072 ([[magic comma]]) and {{monzo| -42 28 -1 }} in the 5-limit; 1029/1024, [[3125/3087]], and [[19683/19600]] in the 7-limit, supporting the 7-limit [[trismegistus]] temperament; 540/539, 1331/1323, and 1815/1792 in the 11-limit; [[275/273]], [[325/324]], 847/845, 1287/1280, and 1575/1573 in the 13-limit.
 Using the 139bdf val, it tempers out 393216/390625 ([[würschmidt comma]]), and 409600000/387420489 in the 5-limit; [[245/243]], 3125/3087, and 131072/127575 in the 7-limit; 176/175, 1232/1215, and 2560/2541 in the 11-limit; 275/273, [[512/507]], [[625/624]], 847/845, and 1625/1617 in the 13-limit.
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 === Odd harmonics ===
 {{Harmonics in equal|139}}
+=== Subsets and supersets ===
+edo is the 34th [[prime edo]], following [[137edo]] and before [[149edo]].