User:Eufalesio/Telicity: Difference between revisions
m →ARTICLE START: Used level 1 header |
Added links to every telic edo and then some |
||
| Line 55: | Line 55: | ||
Of those, 12, 53, 665 are multitelic, because they have a k-strength value greater than one; being 2, 3, and 11 respectively, which means that [[24edo|24]], [[106edo|106]], [[159edo|159]], [[1330edo|1330]], [[1995edo|1995]], [[2660edo|2660]], [[3325edo|3325]], [[3990edo|3990]], [[4655edo|4655]], [[5320edo|5320]], [[5985edo|5985]], [[6650edo|6650]], and [[7315edo|7315]] are also 3-2 telic. | Of those, 12, 53, 665 are multitelic, because they have a k-strength value greater than one; being 2, 3, and 11 respectively, which means that [[24edo|24]], [[106edo|106]], [[159edo|159]], [[1330edo|1330]], [[1995edo|1995]], [[2660edo|2660]], [[3325edo|3325]], [[3990edo|3990]], [[4655edo|4655]], [[5320edo|5320]], [[5985edo|5985]], [[6650edo|6650]], and [[7315edo|7315]] are also 3-2 telic. | ||
A naïve way find if an edo is p-2 telic, multiply the relative error of that prime by the edo. If the error is less than 50%, it is telic. | |||
== Applications == | == Applications == | ||
| Line 73: | Line 75: | ||
|+ | |+ | ||
|3-2 telic | |3-2 telic | ||
| | |[[2edo|2]] | ||
|2 | |'''[[5edo|5]]''' | ||
|'''5''' | |'''[[12edo|12]]''' [<nowiki/>[[24edo|'''24''']]] | ||
|'''12''' [24] | |'''[[53edo|53]]''' [<nowiki/>[[1590edo|'''159''']]] | ||
|'''53''' [159] | |||
3-k | 3-k | ||
|306 [''612''] | |[[306edo|306]] ''[<nowiki/>[[612edo|'''612''']]]'' | ||
|'''665''' [7315] | |'''[[665edo|665]]''' [<nowiki/>[[7315edo|'''7315''']]] | ||
11-k | 11-k | ||
|15601 ''[78005]'' | |[[15601edo|'''15601''']] ''[<nowiki/>[[78005edo|'''78005''']]]'' | ||
|31867 | |[[31867edo|31867]] | ||
|79335 | |[[79335edo|79335]] | ||
|190537 | |[[190537edo|190537]] | ||
28-k | 28-k | ||
|- | |- | ||
|5-2 telic | |5-2 telic | ||
|3 [12] | |[[3edo|3]] [<nowiki/>[[12edo|'''12''']]] | ||
4-k | 4-k | ||
|28 | |[[28edo|28]] | ||
|59 [118] | |[[59edo|59]] [<nowiki/>[[118edo|'''118''']]] | ||
|146 | |[[146edo|146]] | ||
2-k | 2-k | ||
|'''643''' | |'''[[643edo|643]]''' | ||
3-k | 3-k | ||
|4004 | |[[4004edo|4004]] | ||
|8651 | |[[8651edo|8651]] | ||
|12655 | |[[12655edo|12655]] | ||
|21306 | |[[21306edo|21306]] | ||
2-k | 2-k | ||
|97879 | |[[97879edo|97879]] | ||
9-k | 9-k | ||
|- | |- | ||
|7-2 telic | |7-2 telic | ||
|5 [10 | |'''[[5edo|5]]''' ['''[[10edo|10]]'''] | ||
|'''26''' [ | 2-k | ||
|109 | |'''[[26edo|26]]''' [''[[130edo|'''130''']]''] | ||
2-k | |||
|[[109edo|109]] | |||
2-k | 2-k | ||
|2964 | |[[571edo|571]] | ||
2-k | |||
|[[2964edo|2964]] | |||
15-k | 15-k | ||
|91313 | |[[91313edo|91313]] | ||
2-k | 2-k | ||
|453601 | |[[453601edo|453601]] | ||
4-k | 4-k | ||
| | | | ||
| Line 122: | Line 126: | ||
|- | |- | ||
|11-2 telic | |11-2 telic | ||
|2 | |[[2edo|2]] | ||
3-k | 3-k | ||
|13 [26] | |[[13edo|13]] [<nowiki/>[[26edo|'''26''']]] | ||
|37 | 2-k | ||
|[[37edo|37]] | |||
13-k | 13-k | ||
|986 | |[[986edo|986]] | ||
|1935 | |[[1935edo|1935]] | ||
|4856 | |[[4856edo|4856]] | ||
|16503 | |[[16503edo|16503]] | ||
12-k | 12-k | ||
| | | | ||
| Line 137: | Line 142: | ||
|- | |- | ||
|13-2 telic | |13-2 telic | ||
| | |[[3edo|3]] | ||
|3 | |[[7edo|'''7''']] | ||
|7 | |'''[[10edo|10]]''' [<nowiki/>[[50edo|'''50''']], [[80edo|'''80''']], ''[[130edo|'''130''']], [[270edo|'''270''']]''] | ||
|10 [50, 80, ''130, 270''] | |||
11-k | 11-k | ||
|227 [908] | |[[227edo|227]] [<nowiki/>[[908edo|908]]] | ||
11-k | 11-k | ||
|5458 | |[[5458edo|5458]] | ||
4-k | 4-k | ||
|54353 | |[[54353edo|54353]] | ||
74-k | 74-k | ||
| | |||
| | | | ||
| | | | ||
| | | | ||
|} | |} | ||
Bolded edos are notable. Edos in brackets are notable telic edo multiples, due to high consistency or accuracy of their intervals. If italicized, the edo is a multiple of the telic edo but beyond its k-strength range. | 1edo and 0edo excluded. Bolded telic edos are notable. Edos in brackets are notable telic edo multiples, due to high consistency or accuracy of their intervals. If italicized, the edo is a multiple of the telic edo but beyond its k-strength range. | ||
Of these, the only edos ''(that I know so far)'' that are telic in many primes are 5edo (7-3-2 telic) 12edo (5-3-2 telic), and 26edo (11-7-2 telic). | |||
WIP | WIP | ||