User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions
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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 [[11-limit]] composite harmonics smaller than 60 that it approximates within 15 cents (giving preference to harmonics with lower prime factors first and excluding powers of two) | # If it approximates less than 3 such primes, then include all the ones it does approximate, and fill the remaining spots with [[11-limit]] composite harmonics smaller than 60 that it approximates within 15 cents (giving preference to harmonics with lower prime factors first and excluding powers of two) | ||
# 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 | # If there are aren't enough of those to fill all 3 spots, fill the remaining spots with 11-limit [[taxicab distance|taxicab-2]] intervals the edo approximates within 15 cents, giving preference to intervals with lower primes | ||
# If there are aren't enough of those to fill all 3 spots, then allow primes, composites or taxicab intervals of any size which the edo approximates within 15 cents, giving preference to ones with lower primes | |||
=== EDOs with 7 to 12 tones/octave === | === EDOs with 7 to 12 tones/octave === | ||