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

BudjarnLambeth (talk | contribs)
BudjarnLambeth (talk | contribs)
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=== EDOs with 118 or more tones/octave ===
=== EDOs with 118 or more tones/octave ===
# The subgroup should have 11 basis elements
# 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
# Add primes 2, 3, 5, 7, 11, 13, 17, 19 and 23 to the subgroup
# If 31 or 29 has >40% relative error, remove it and replace it with the next smallest prime after 31 to have <40% relative error
# Add the next two smallest primes with <40% relative error after 23 to the subgroup
# If both 29 and 31 have >40% relative error, remove both and replace them with the two next smallest primes after 31 to have <40% relative error
# If any primes 23 or lower have >40% relative error, then they should be made a dual prime
# If any primes 23 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 there are now more than 11 basis elements, then the primes should be removed one by one starting with the highest and getting lower until there are 11 basis elements left
# 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 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 no non-dual primes were removed, add the next smallest prime with <40% relative error that's not already in the subgroup
# If no non-dual primes were removed, add the next smallest prime with <40% relative error that's not already in the subgroup