2022edo: Difference between revisions
Rework theory; +subsets and supersets |
Tristanbay (talk | contribs) →Theory: added that it's the optimal patent val for tristanismic |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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In the 2.5.11.17.29.41.43.53.61 subgroup, 2022edo tempers out 17630/17629, 18491/18490, 21200/21199, and 22528/22525. | In the 2.5.11.17.29.41.43.53.61 subgroup, 2022edo tempers out 17630/17629, 18491/18490, 21200/21199, and 22528/22525. | ||
In the full 13-limit, it is the [[optimal patent val]] for tristanismic, the rank-5 [[4459/4455]] temperament. | |||
If the 29-limit is taken as a whole even including the 7-limit inconsistency, 2022edo tempers out 2002/2001, 3451/3450, 5104/5103, and 16445/16443. | If the 29-limit is taken as a whole even including the 7-limit inconsistency, 2022edo tempers out 2002/2001, 3451/3450, 5104/5103, and 16445/16443. | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
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| {{monzo| 3205 -2022 }} | | {{monzo| 3205 -2022 }} | ||
| {{mapping| 2022 3205 }} | | {{mapping| 2022 3205 }} | ||
| | | −0.038534 | ||
| 0.038533 | | 0.038533 | ||
| 6.493 | | 6.493 | ||
| Line 40: | Line 43: | ||
| {{monzo| 25 -48 22 }}, {{monzo| -90 -15 49 }} | | {{monzo| 25 -48 22 }}, {{monzo| -90 -15 49 }} | ||
| {{mapping| 2022 3205 4695 }} | | {{mapping| 2022 3205 4695 }} | ||
| | | −0.030920 | ||
| 0.033254 | | 0.033254 | ||
| 5.603 | | 5.603 | ||
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| 2431/2430, 2755/2754, 3520/3519, 142025/141984, 2582624/2581875, 9096256/9092061, 11293425/11290976, 51054848/51046875 | | 2431/2430, 2755/2754, 3520/3519, 142025/141984, 2582624/2581875, 9096256/9092061, 11293425/11290976, 51054848/51046875 | ||
| {{mapping| 2022 3205 4695 6955 7482 8265 8589 9147 9283 }} | | {{mapping| 2022 3205 4695 6955 7482 8265 8589 9147 9283 }} | ||
| | | −0.010752 | ||
| 0.036910 | | 0.036910 | ||
| 6.219 | | 6.219 | ||
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; [[Eliora]] | ; [[Eliora]] | ||
* [https://www.youtube.com/watch?v=IulKlMjxAM8 ''Noble Gas''] (2021) | * [https://www.youtube.com/watch?v=IulKlMjxAM8 ''Noble Gas''] (2021) | ||
[[Category:Listen]] | |||