User:BudjarnLambeth/Sandbox2: Difference between revisions

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18edo
18edo
* 42ed5
* 42ed5
* 47ed6
* 13lim WE (66.291)
* 61zpi (66.228)
* 65ed12
* 65ed12
* 7lim WE (66.148)
* 7lim WE (66.148)
* 13lim WE (66.291)
* 47ed6
* 61zpi (66.228)
18edo's [[prime]]s 3, 5, 7 and 13 are all tuned sharp, so it can benefit from [[octave shrinking]].
18edo's [[prime]]s 3, 5, 7 and 13 are all tuned sharp, so it can benefit from [[octave shrinking]].


25edo
25edo
* 95zpi (48.067)
* 13lim WE (47.946)
* 90ed12
* 65ed6
* 65ed6
* 90ed12
* 13lim WE (47.946)
* 95zpi (48.067)
* 96zpi (47.642)
* 96zpi (47.642)
25edo's [[prime]] 3 is very sharp, and its sharp and flat mapping of 11 and 13 are about equally bad, it can benefit from [[octave shrinking]].
25edo's [[prime]] 3 is very sharp, and its sharp and flat mapping of 11 and 13 are about equally bad, it can benefit from [[octave shrinking]].
{{harmonics in equal | 25 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 65 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 90 | 12 | 1 | intervals=prime}}
{{harmonics in cet | 47.946 | intervals=prime}}
{{harmonics in cet | 48.067 | intervals=prime}}
{{harmonics in cet | 47.642 | intervals=prime}}


26edo
26edo
* 41edt
* 13lim WE (46.249) (octave identical to 11lim within 1/20th of a cent)
* 67ed6
* 86ed10
* 93ed12
* 93ed12
* 96ed14
* 13lim WE (46.249) (octave identical to 11lim within 1/20th of a cent)
* 100zpi (46.268)
* 100zpi (46.268)
26edo's simple [[prime]]s with the most error - 3, 5 and 13 - are all tuned flat, so it can benefit from [[octave stretching]].
26edo's simple [[prime]]s with the most error - 3, 5 and 13 - are all tuned flat, so it can benefit from [[octave stretching]].
{{harmonics in equal | 26 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 41 | 3 | 1 | intervals=prime}}
{{harmonics in equal | 67 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 86 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 93 | 12 | 1 | intervals=prime}}
{{harmonics in equal | 96 | 14 | 1 | intervals=prime}}
{{harmonics in cet | 46.249 | intervals=prime}}
{{harmonics in cet | 46.268 | intervals=prime}}


29edo
29edo
* 46edt
* 46edt
* 105ed12
* [[116zpi]] (41.465)
* 13lim WE (41.484)
* 107ed13
* 100ed11
* 96ed10
* 96ed10
* 100ed11
* 107ed13
* 16edf
* 11lim WE (41.482)
* 13lim WE (41.484)
* [[116zpi]] (41.465)
29edo's [[prime]]s 5, 7, 11 and 13 are all tuned flat and the 3 has relatively little error, so 29edo can benefit from [[octave stretching]].
29edo's [[prime]]s 5, 7, 11 and 13 are all tuned flat and the 3 has relatively little error, so 29edo can benefit from [[octave stretching]].
{{harmonics in equal | 29 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 46 | 3 | 1 | intervals=prime}}
{{harmonics in equal | 96 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 100 | 11 | 1 | intervals=prime}}
{{harmonics in equal | 105 | 12 | 1 | intervals=prime}}
{{harmonics in equal | 107 | 13 | 1 | intervals=prime}}
{{harmonics in equal | 16 | 3 | 2 | intervals=prime}}
{{harmonics in cet | 41.482 | intervals=prime}}
{{harmonics in cet | 41.484 | intervals=prime}}
{{harmonics in cet | 41.465 | intervals=prime}}


30edo
30edo
* 78ed6
* 39.918zpi (39.918) (octave identical to 104ed11 within 0.1{{c}})
* 13lim WE (39.904)
* 11lim WE (79.770)
* 100ed10
* 100ed10
* 104ed11
* 108ed12
* 108ed12
* 11lim WE (79.770)
* 78ed6
* 13lim WE (39.904)
* 39.918zpi (39.918)
30edo's simple [[prime]]s with the most error - 3, 5 and 11 - are all tuned sharp, so it can benefit from [[octave shrinking]].
30edo's simple [[prime]]s with the most error - 3, 5 and 11 - are all tuned sharp, so it can benefit from [[octave shrinking]].
{{harmonics in equal | 30 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 78 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 100 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 104 | 11 | 1 | intervals=prime}}
{{harmonics in equal | 108 | 12 | 1 | intervals=prime}}
{{harmonics in cet | 79.770 | intervals=prime}}
{{harmonics in cet | 39.904 | intervals=prime}}
{{harmonics in cet | 39.918 | intervals=prime}}


34edo
34edo
* 54edt
* 11lim WE (35.284)
* 13lim WE (35.276) (identical to 113ed10)
* 79ed5
* 79ed5
* 122ed12
* 88ed6
* 88ed6
* 108ed9
* 144zpi (35.248)
* 113ed10
* 122ed12
* 126ed13
* 126ed13
* 11lim WE (35.284)
* 54edt
* 13lim WE (35.276)
* 144zpi (35.248)
34edo's [[prime]]s 3, 5, 11 and 13 are all tuned sharp, and it has two about equally bad mappings of 7, so 34edo can benefit from [[octave shrinking]].
34edo's [[prime]]s 3, 5, 11 and 13 are all tuned sharp, and it has two about equally bad mappings of 7, so 34edo can benefit from [[octave shrinking]].
{{harmonics in equal | 34 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 54 | 3 | 1 | intervals=prime}}
{{harmonics in equal | 79 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 88 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 108 | 9 | 1 | intervals=prime}}
{{harmonics in equal | 113 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 122 | 12 | 1 | intervals=prime}}
{{harmonics in equal | 126 | 13 | 1 | intervals=prime}}
{{harmonics in cet | 35.284 | intervals=prime}}
{{harmonics in cet | 35.276 | intervals=prime}}
{{harmonics in cet | 35.248 | intervals=prime}}


35edo
35edo
* 81ed5
* 90ed6
* 98ed7
* 116ed10
* 121ed11
* 125ed12
* 11lim WE (35.284)
* 11lim WE (35.284)
* 13lim WE (35.276)
* 13lim WE (35.276)
* 121ed11
* [[149zpi]] (34.359)
* [[149zpi]] (34.359)
* 116ed10
* 98ed7
* 81ed5
* 125ed12
* 90ed6
35edo's [[prime]]s 3, 5, 7 and 11 are all tuned flat, and it has two about equally bad mappings of 13, so 35edo can benefit from [[octave stretching]].
35edo's [[prime]]s 3, 5, 7 and 11 are all tuned flat, and it has two about equally bad mappings of 13, so 35edo can benefit from [[octave stretching]].
{{harmonics in equal | 35 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 81 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 90 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 98 | 7 | 1 | intervals=prime}}
{{harmonics in equal | 116 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 121 | 11 | 1 | intervals=prime}}
{{harmonics in equal | 125 | 12 | 1 | intervals=prime}}
{{harmonics in cet | 35.284 | intervals=prime}}
{{harmonics in cet | 35.276 | intervals=prime}}
{{harmonics in cet | 34.359 | intervals=prime}}


37edo
37edo
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{{harmonics in equal | 86 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 86 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 96 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 96 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 104 | 7 | 1 | intervals=prime}
{{harmonics in equal | 104 | 7 | 1 | intervals=prime}}
{{harmonics in equal | 123 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 123 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 128 | 11 | 1 | intervals=prime}}
{{harmonics in equal | 128 | 11 | 1 | intervals=prime}}