User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions
mNo edit summary |
mNo edit summary |
||
| Line 35: | Line 35: | ||
# If 5 is approximated within 15 cents, add 5 to the subgroup | # If 5 is approximated within 15 cents, add 5 to the subgroup | ||
## If it is not, then add the smallest multiple of 5, 60 or lower, which it approximates within 15 cents (if any) | ## If it is not, then add the smallest multiple of 5, 60 or lower, which it approximates within 15 cents (if any) | ||
## If this is the same as a | ## If this is the same as a number 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, 56 or lower, which it approximates within 15 cents (if any) | ## If it is not, then add the smallest multiple of 7, 56 or lower, which it approximates within 15 cents (if any) | ||
## If this is the same as a | ## If this is the same as a number 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, then add the smallest multiple of 11, 77 or lower, approximated within 15 cents to the subgroup (if any) | # If there are still spots free, then add the smallest multiple of 11, 77 or lower, approximated within 15 cents to the subgroup (if any) | ||
## If this is the same as a | ## If this is the same as a number already added, just keep that one | ||
# If any composite basis elements now in the subgroup share no common factors with any other element in the subgroup, remove them | # If any composite basis elements now in the subgroup share no common factors with any other element in the subgroup, remove them | ||
# 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) | ||
| Line 56: | Line 56: | ||
# If 5 is approximated within 15 cents, add 5 to the subgroup | # If 5 is approximated within 15 cents, add 5 to the subgroup | ||
## If it is not, then add the smallest multiple of 5, 60 or lower, which it approximates within 15 cents (if any) | ## If it is not, then add the smallest multiple of 5, 60 or lower, which it approximates within 15 cents (if any) | ||
## If this is the same as a | ## If this is the same as a number 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, 56 or lower, which it approximates within 15 cents (if any) | ## If it is not, then add the smallest multiple of 7, 56 or lower, which it approximates within 15 cents (if any) | ||
## If this is the same as a | ## If this is the same as a number 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, then add the smallest multiple of 11, 77 or lower, approximated within 15 cents to the subgroup (if any) | # If there are still spots free, then add the smallest multiple of 11, 77 or lower, approximated within 15 cents to the subgroup (if any) | ||
## If this is the same as a | ## If this is the same as a number already added, just keep that one | ||
# If any composite basis elements now in the subgroup share no common factors with any other element in the subgroup, remove them | # If any composite basis elements now in the subgroup share no common factors with any other element in the subgroup, remove them | ||
# 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) | ||