User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions
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# Do whichever of the following things results in the most simple consonances being available and the least out of tune consonances being listed (use your own discretion to decide): | # Do whichever of the following things results in the most simple consonances being available and the least out of tune consonances being listed (use your own discretion to decide): | ||
## Add the next 4-5 prime harmonics to be approximated within 15 cents | ## Add the next 4-5 prime harmonics to be approximated within 15 cents | ||
## Add the next 4-5 prime harmonics with relative error between -a% and +b% where (a+b)<60, make a and b anything you like that fits the rule, try to make them as small as possible while still including important intervals | ## Add the next 4-5 prime harmonics with relative error between -a% and +b% where (a+b)<60, make a and b anything you like that fits the rule, try to make them as small as possible while still including important intervals | ||
## Add the 4-5 smallest odd harmonics and/or [[taxicab distance|taxicab-2]] intervals to be approximated within 15 cents | ## Add the 4-5 smallest odd harmonics and/or [[taxicab distance|taxicab-2]] intervals to be approximated within 15 cents | ||
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* [[8edo]]: 2 • <small><sup>5</sup>/<sub>3</sub></small> • <small><sup>11</sup>/<sub>3</sub></small> • <small><sup>13</sup>/<sub>5</sub></small> • 19 (''nth-b; 15th'') | * [[8edo]]: 2 • <small><sup>5</sup>/<sub>3</sub></small> • <small><sup>11</sup>/<sub>3</sub></small> • <small><sup>13</sup>/<sub>5</sub></small> • 19 (''nth-b; 15th'') | ||
* [[9edo]]: 2 • 5 • <small><sup>7</sup>/<sub>3</sub></small> • 11 • <small><sup>13</sup>/<sub>7</sub></small> (''nth-b; 21st'') | * [[9edo]]: 2 • 5 • <small><sup>7</sup>/<sub>3</sub></small> • 11 • <small><sup>13</sup>/<sub>7</sub></small> (''nth-b; 21st'') | ||
* [[10edo]]: 2 • 3 | * [[10edo]]: 2 • 3 • 7 • 13 • 17 (''no-n'') | ||
* [[11edo]]: 2 • 9 • 15 • 7 • 11 (''comp'') | * [[11edo]]: 2 • 9 • 15 • 7 • 11 (''comp'') | ||
* [[12edo]]: 2 • 3 • 5 • 17 • 19 (''no-n'') | * [[12edo]]: 2 • 3 • 5 • 17 • 19 (''no-n'') |