User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions
| Line 50: | Line 50: | ||
## (''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'') | ||
# If 7 is approximated within 15 cents, add 7 to the subgroup | # If 7 is approximated within 15 cents, add 7 to the subgroup | ||
## If it is not, then add the smallest multiple of 7, | ## If it is not, then add the smallest multiple of 7, 63 or lower, which it approximates within 15 cents (if any) | ||
## (''If this is the same as a number already added, just keep that one'') | ## (''If this is the same as a number already added, just keep that one'') | ||
## If 7 and all its multiples up to | ## If 7 and all its multiples up to 63 are not approximated, then add the smallest 13-limit taxicab-2 interval containing 7 (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'') | ||
# If 11 is approximated within 15 cents, add 11 to the subgroup | # If 11 is approximated within 15 cents, add 11 to the subgroup | ||
# If there are still spots free, and 13 is approximated within 7 cents, add 13 to the subgroup | # If there are still spots free, and 13 is approximated within 7 cents, add 13 to the subgroup | ||
# If there are still spots free, and 11 is not in the subgroup: | # If there are still spots free, and 11 is not in the subgroup: | ||
## Add the smallest multiple of 11, | ## Add the smallest multiple of 11, 66 or lower, approximated within 15 cents to the subgroup (if any) | ||
## (''If this is the same as a number already added, just keep that one'') | ## (''If this is the same as a number already added, just keep that one'') | ||
## If 11 and all its multiples up to | ## If 11 and all its multiples up to 66 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 | # 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 | ||