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

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; Sometimes composite
; Sometimes composite
* dual = [[Dual-n|Dual-n subgroup]]
* dual = [[Dual-n|Dual-n subgroup]]
* dir = Directional subgroup (''i.e. including all the flat primes but no sharp primes, or vice versa'')
* rel = Directional subgroup  
** ''Example: -30rel+0 includes all primes where -30%<relative error<+0%''
** ''Example: -40rel+10 includes all primes where -40%<relative error<+10%''




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# Do whichever of the following things results in the most simple consonances being available (use your own discretion to decide):
# Do whichever of the following things results in the most simple consonances being available (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 to be approximated FLAT with <60% relative error (leave out sharp ones)
## 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 to be approximated SHARP with <60% relative error (leave out sharp ones)
## Add the next 4-5 prime harmonics with relative error between -50% and +10%
## Add the next 4-5 prime harmonics with relative error between -10% and +50%
## 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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* [[6edo]]: 2 • 9 • 5    (''comp'')
* [[6edo]]: 2 • 9 • 5    (''comp'')
; 5 basis elements
; 5 basis elements
* [[7edo]]: 2 • 3 • 5 • 11 • 29    (''<dir'')
* [[7edo]]: 2 • 3 • 5 • 11 • 29    (''-30rel+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'')
* [[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'')
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; 6 basis elements
; 6 basis elements
* [[13edo]]: 2 • 9 • 5 • 21 • 11 • 13    (''comp'')
* [[13edo]]: 2 • 9 • 5 • 21 • 11 • 13    (''comp'')
* [[14edo]]: 2 • 3 • <5 • 7 • 11 • 17    (''<dir'')
* [[14edo]]: 2 • 3 • <5 • 7 • 11 • 17    (''-55rel+0'')
* [[15edo]]: 2 • 3 • 5 • 7 • 11 • 23    (''no-n'')
* [[15edo]]: 2 • 3 • 5 • 7 • 11 • 23    (''no-n'')
* [[16edo]]: 2 • 3 • 5 • 7 • 11 • 13    (''<dir+10'')
* [[16edo]]: 2 • 3 • 5 • 7 • 11 • 13    (''-40rel+10'')
* [[17edo]]: 2 • 3 • 5> • 7 • 11 • 13    (''dir>'')
* [[17edo]]: 2 • 3 • 5> • 7 • 11 • 13    (''-0rel+55'')
* [[18edo]]: 2 • 3 • 5 • 7 • 13 • 17   (''dir>'')
* [[18edo]]: 2 • 3 • 5 • 7 • 13 • 17   (''-0rel+50'')
* [[19edo]]: 2 • 3 • 5 • 7 • 11 • 13    (''lim'')
* [[19edo]]: 2 • 3 • 5 • 7 • 11 • 13    (''lim'')