User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions

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 # The subgroup should have 11 basis elements
 # Primes 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 are initially added to the subgroup
-# If any primes 31 or lower have more than 40% relative error, then they should be made a dual prime
+# If 31 has >40% relative error, remove it and replace it with the next smallest prime after 31 to have <40% relative error
-# If there are now more than 11 basis elements, then the highest primes should be removed one by one until there are 11 basis elements left (31 removed first, then 29, so on)
+# If any primes 29 or lower have >40% relative error, then they should be made a dual prime
+# If there are now more than 11 basis elements, then the highest primes should be removed one by one until there are 11 basis elements left (31 or its replacement removed first, then 29, them 23, so on)
 # If a dual-prime is the last one to be removed, and this causes there to be only 10 basis elements left, then add back the smallest non-dual prime that was removed
-# If 31 was the only prime made dual, causing 12 basis elements with no fallbacks, then replace 31 with the next smallest prime to have <40% relative error (first try 37, then try 41, 43, etc. until you find one)
+# If no non-dual primes were removed, add the next smallest prime with <40% relative error
+that's not already in the subgroup
 == List of subgroups by EDO ==