User:MissMagenta/EDKL: Difference between revisions
Jump to navigation
Jump to search
MissMagenta (talk | contribs) mNo edit summary |
m 1edkl = 1edo |
||
| (8 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
Equal divisions of the Komornik–Loreti Seventh, or the Kleventh which has a size of ~1005.2719677332628 cents. The Kleventh is the [[wikipedia:Komornik–Loreti_constant|Komornik–Loreti constant]] used as a musical interval. Using the Komornik–Loreti constant as an interval is | Equal divisions of the Komornik–Loreti Seventh, or the Kleventh which has a size of ~1005.2719677332628 cents. The Kleventh is the [[wikipedia:Komornik–Loreti_constant|Komornik–Loreti constant]] used as a musical interval. Using the Komornik–Loreti constant as an interval is a completely arbitrary choice. | ||
==Correspondence of EDKL to EDO== | ==Correspondence of EDKL to EDO== | ||
| Line 7: | Line 7: | ||
!Equivalent EDO | !Equivalent EDO | ||
!Comment | !Comment | ||
|- | |||
|1edkl | |||
|[[1edo]] | |||
|Warning: Inaccurate to 1edo by ~194.8 cents in step size | |||
|- | |- | ||
|2edkl | |2edkl | ||
| | |[[2edo]] | ||
|Warning: Inaccurate to 2edo by ~98 cents in step size | |||
|- | |- | ||
|3edkl | |3edkl | ||
|[[3edo]] | |||
|Warning: Inaccurate to 3edo by ~65 cents in step size | |||
|- | |- | ||
|4edkl | |4edkl | ||
|[[5edo]] | |||
| | |||
|- | |- | ||
|5edkl | |5edkl | ||
| Line 24: | Line 33: | ||
|- | |- | ||
|7edkl | |7edkl | ||
| | |[[8edo]] | ||
| | | | ||
|- | |- | ||
|8edkl | |8edkl | ||
| | |[[10edo]] | ||
| | | | ||
|- | |- | ||
|9edkl | |9edkl | ||
| | |[[11edo]] | ||
| | | | ||
|- | |- | ||
| Line 60: | Line 69: | ||
|- | |- | ||
|16edkl | |16edkl | ||
| | |[[19edo]] | ||
| | | | ||
|- | |- | ||
|17edkl | |17edkl | ||
|[[20edo]] | |[[20edo]] | ||
| | |||
|- | |||
|18edkl | |||
|[[21edo]] | |||
|Has a great fourth (~4 cents off a just fourth) | |||
|- | |||
|19edkl | |||
|[[23edo]] | |||
|Similarly to 23edo, completely misses the fifth and fourth. | |||
|- | |||
|20edkl | |||
|[[24edo]] | |||
|Has the 10edkl fifth, with a good approximation of the 11-limit | |||
|- | |||
|21edkl | |||
|[[25edo]] | |||
| | |||
|- | |||
|22edkl | |||
|[[26edo]] | |||
|Good fourth, bad fifth | |||
|- | |||
|26edkl | |||
|[[31edo]] | |||
| | |||
|- | |||
|31edkl | |||
|[[37edo]] | |||
| | |||
|- | |||
|36edkl | |||
|[[43edo]] | |||
| | |||
|- | |||
|62edkl | |||
|[[74edo]] | |||
| | | | ||
|- | |- | ||
|88edkl | |88edkl | ||
|[[105edo]] | |[[105edo]] | ||
| | |||
|- | |||
|1000edkl | |||
|[[1194edo]] | |||
| | |||
|- | |||
|2396edkl | |||
|[[2857edo]] | |||
| | | | ||
|} | |} | ||
To see correspondences of EDKLs to other [[Equal-step tuning|equal tunings]] go [[User:MissMagenta/Correspondence of EDKL to Equal Tunings|here]]. | To see correspondences of EDKLs to other [[Equal-step tuning|equal tunings]] go [[User:MissMagenta/Correspondence of EDKL to Equal Tunings|here]]. | ||
Latest revision as of 02:43, 29 January 2025
Equal divisions of the Komornik–Loreti Seventh, or the Kleventh which has a size of ~1005.2719677332628 cents. The Kleventh is the Komornik–Loreti constant used as a musical interval. Using the Komornik–Loreti constant as an interval is a completely arbitrary choice.
Correspondence of EDKL to EDO
| Tuning | Equivalent EDO | Comment |
|---|---|---|
| 1edkl | 1edo | Warning: Inaccurate to 1edo by ~194.8 cents in step size |
| 2edkl | 2edo | Warning: Inaccurate to 2edo by ~98 cents in step size |
| 3edkl | 3edo | Warning: Inaccurate to 3edo by ~65 cents in step size |
| 4edkl | 5edo | |
| 5edkl | 6edo | |
| 6edkl | 7edo | |
| 7edkl | 8edo | |
| 8edkl | 10edo | |
| 9edkl | 11edo | |
| 10edkl | 12edo | Has a good fifth (~0.1% off a just fifth) |
| 11edkl | 13edo | |
| 12edkl | 14edo | |
| 13edkl | 16edo | Has a phenomenal major third (~0.01% off a just major third) |
| 14edkl | 17edo | |
| 15edkl | 18edo | |
| 16edkl | 19edo | |
| 17edkl | 20edo | |
| 18edkl | 21edo | Has a great fourth (~4 cents off a just fourth) |
| 19edkl | 23edo | Similarly to 23edo, completely misses the fifth and fourth. |
| 20edkl | 24edo | Has the 10edkl fifth, with a good approximation of the 11-limit |
| 21edkl | 25edo | |
| 22edkl | 26edo | Good fourth, bad fifth |
| 26edkl | 31edo | |
| 31edkl | 37edo | |
| 36edkl | 43edo | |
| 62edkl | 74edo | |
| 88edkl | 105edo | |
| 1000edkl | 1194edo | |
| 2396edkl | 2857edo |
To see correspondences of EDKLs to other equal tunings go here.