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====All superparticular intervals with no duplicate primes, by prime limit====
====All superparticular intervals with no duplicate primes, by prime limit====
Found by applying this method to every possible subgroup in the prime limit.
Found by applying this method to every possible subgroup in the prime limit, using [https://www.desmos.com/calculator/2o1mwkkxf9 this desmos graph].


2-limit:
2-limit:
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7-limit:
7-limit:
*todo
*[[7/6]]
*[[15/14]]
 
11-limit:
*[[11/10]]
*[[22/21]]
 
13-limit:
*[[14/13]]
*[[66/65]]
*[[78/77]]
 
17-limit:
*[[34/33]]
*[[35/34]]
*[[715/714]]
 
19-limit:
*[[39/38]]
*[[210/209]]
*[[286/285]]
 
23-limit:
*[[23/22]]
*[[70/69]]
*[[115/114]]
*[[231/230]]
*[[323/322]]
*[[391/390]]
 
29-limit:
*[[30/29]]
*[[58/57]]
*[[494/493]]
*[[2002/2001]]
*[[2262/2261]]
 
31-limit:
*[[31/30]]
*[[155/154]]
*[[187/186]]
*[[435/434]]
*[[714/713]]
*[[806/805]]
*[[12122/12121]]