User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions
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# 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 | ||
# 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 or composite harmonics which the edo approximates within 15 cents and which haven’t been added yet, giving preference to | # If there are aren't enough of those to fill all spots, fill the remaining spots with taxicab-2 intervals or composite harmonics which the edo approximates within 15 cents and which haven’t been added yet, giving preference to ones with small prime factors | ||
# ''Optionally'', replace any one basis element with any composite harmonic 60 or smaller, that shares factors in common with at least 2 other basis elements in the subgroup, is approximated within 15 cents, and has not yet been added (''do not replace pure 2, 3, 5, 7 or 11'') | # ''Optionally'', replace any one basis element with any composite harmonic 60 or smaller, that shares factors in common with at least 2 other basis elements in the subgroup, is approximated within 15 cents, and has not yet been added (''do not replace pure 2, 3, 5, 7 or 11'') | ||