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

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VisualWikitext

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 ; Sometimes composite
 * dual = [[Dual-n|Dual-n subgroup]]
-* rel = Directional subgroup
+* cen = Directional subgroup
-** ''Example: -30rel+0 includes all primes where -30%<relative error<+0%''
+** ''Example: -20cen+1 includes all primes where -20¢<absolute error<+1¢''
-** ''Example: -40rel+10 includes all primes where -40%<relative error<+10%''
+** ''Example: -1cen+35 includes all primes where -1¢<absolute error<+35¢''
+** ''Example: -15cen+10 includes all primes where -15¢<relative error<+10¢''
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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):
 ## 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) is no bigger than 80. Make a and b anything you like that fits the rule, try to make them as small as possible while still including most important intervals
+## Add the next 4-5 prime harmonics with absolute error between -a¢ and +b¢ where (a+b) is no bigger than 50. Make a and b anything you like that fits the rule, try to make them as small as possible while still including most important intervals
 ## Add the 4-5 smallest odd harmonics and/or [[taxicab distance|taxicab-2]] intervals to be approximated within 15 cents
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 For the purposes of this list, if prime N is mapped to A steps in an EDO, then “<N“ means N but mapped to A-1 steps, and “N>” means N but mapped to A+1 steps.
-“<dir+10” means instead of primes with relative error -60% to 0%, it allows -50% to +10%.
 === Picnic EDOs    (1-4) ===
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 * [[6edo]]: 2 • 9 • 5    (''comp'')
 ; 5 basis elements
-* [[7edo]]: 2 • 3 • 5 • 11 • 29    (''-30rel+0'')
+* [[7edo]]: 2 • 3 • 5 • 11 • 29    (''-44cen+0'')
 * [[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'')
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 ; 6 basis elements
 * [[13edo]]: 2 • 9 • 5 • 21 • 11 • 13    (''comp'')
-* [[14edo]]: 2 • 3 • <5 • 7 • 11 • 17    (''-55rel+0'')
+* [[14edo]]: 2 • 3 • <5 • 7 • 11 • 17    (''-44cen+0'')
 * [[15edo]]: 2 • 3 • 5 • 7 • 11 • 23    (''no-n'')
-* [[16edo]]: 2 • 3 • 5 • 7 • 11 • 13    (''-40rel+10'')
+* [[16edo]]: 2 • 3 • 5 • 7 • 11 • 13    (''-28cen+7'')
-* [[17edo]]: 2 • 3 • 5> • 7 • 11 • 13    (''-0rel+55'')
+* [[17edo]]: 2 • 3 • 5> • 7 • 11 • 13    (''-0cen+38'')
-* [[18edo]]: 2 • 3 • 5 • 7 • 13 • 17   (''-0rel+50'')
+* [[18edo]]: 2 • 3 • 5 • 7 • 13 • 17   (''-0cen+32'')
 * [[19edo]]: 2 • 3 • 5 • 7 • 11 • 13    (''lim'')
 === Carousel EDOs    (20-34) ===
 ; 6 basis elements
-* [[20edo]]: 2 • 3 • 5> • 7 • 11 • 13    (''-20rel+60'')
+* [[20edo]]: 2 • 3 • 5> • 7 • 11 • 13    (''-12cen+34'')
 * [[21edo]]: 2 • 3 • 5 • 7 • 17 • 19    (''no-n'')
 * [[22edo]]: 2 • 3 • 5 • 7 • 11 • 17    (''no-n'')