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

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18,232 edits
Line 40: Line 40:
## If no such multiple exists, move on to the next step
## If no such multiple exists, move on to the next step
# 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 it is not, then add the smallest multiple of 11 with up to 2 digits it approximates within 15 cents
# If there are still spots free, and 13 is approximated within 7 cents, add 13 to the subgroup
## If no such multiple exists, move on to the next step
# If there are still spots free, then add the smallest multiple of 11 with up to 2 digits approximated within 15 cents to the subgroup
# If it approximates primes 13, 17, 19 or 23 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, 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, giving preference to intervals with small primes


Line 58: Line 58:
## If no such multiple exists, move on to the next step
## If no such multiple exists, move on to the next step
# 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 it is not, then add the smallest multiple of 11 with up to 2 digits it approximates within 15 cents
# If there are still spots free, and 13 is approximated within 7 cents, add 13 to the subgroup
## If no such multiple exists, move on to the next step
# If there are still spots free, then add the smallest multiple of 11 with up to 2 digits approximated within 15 cents to the subgroup
# If 13 is approximated within 15 cents, add 14 to the subgroup
# 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 it is not, move on to the next step
# If it approximates primes 17, 19 or 23 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, 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, giving preference to intervals with small primes


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