User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions
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## If 11 and all its multiples up to 77 are not approximated, then add the smallest 13-limit taxicab-2 interval containing 11 (if any) | ## If 11 and all its multiples up to 77 are not approximated, then add the smallest 13-limit taxicab-2 interval containing 11 (if any) | ||
## (''If this is the same as a fraction already added, just keep that one'') | ## (''If this is the same as a fraction already added, just keep that one'') | ||
# | # Check that each composite basis elements in the subgroup shares at least one common factor with at least one other thing in the subgroup; remove any composite basis elements that do not | ||
# If any primes 13, 17, 19 or 23 are approximated within 15 cents, include as many of those as there are basis element spots free (giving preference to harmonics with closer approximations first) | # If any primes 13, 17, 19 or 23 are approximated within 15 cents, include as many of those as there are basis element spots free (giving preference to harmonics with closer approximations first) | ||
# If there are aren't enough of those to fill all spots, fill the remaining spots with taxicab-2 intervals the edo approximates within 15 cents which haven’t been added yet, giving preference to intervals with small primes | # If there are aren't enough of those to fill all spots, fill the remaining spots with taxicab-2 intervals the edo approximates within 15 cents which haven’t been added yet, giving preference to intervals with small primes | ||