User:MissMagenta/EDKL: Difference between revisions
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MissMagenta (talk | contribs) Created page with "Equal divisions of the Komornik–Loreti Seventh, which is the Komornik–Loreti constant used as a musical interval." |
m 1edkl = 1edo |
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Equal divisions of the Komornik–Loreti Seventh, which is the Komornik–Loreti constant used as a musical interval. | 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== | |||
{| class="wikitable" | |||
|+ | |||
!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-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.