User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions
m Total overhaul, made it much better |
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# If the EDO approximates 3 or more [[prime]]s 11 or lower within 15 [[cents]], then choose the best 3 and use those as its subgroup | # If the EDO approximates 3 or more [[prime]]s 11 or lower within 15 [[cents]], then choose the best 3 and use those as its subgroup | ||
# If it approximates less than 3 such primes, then include all the ones it does approximate, and fill the remaining spots with odd harmonics smaller than 40 that it approximates within 15 cents (giving preference to the lowest harmonics first) | # If it approximates less than 3 such primes, then include all the ones it does approximate, and fill the remaining spots with odd harmonics smaller than 40 that it approximates within 15 cents (giving preference to the lowest harmonics first) | ||
# If there are aren't enough of those to fill all 3 spots, fill the remaining spots | # If there are aren't enough of those to fill all 3 spots, fill the remaining spots with [[taxicab distance|taxicab-2]] intervals the edo approximates within 15 cents, giving preference to intervals with small primes and intervals that are approximated more precisely (use direction to decide which to value more on an edo-by-edo basis) | ||
# If there are still spots left open, fill them with the smallest composite harmonics of any size that are approximated within 15 cents | # If there are still spots left open, fill them with the smallest composite harmonics of any size that are approximated within 15 cents | ||