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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==
== Correspondence of EDN to EDO ==
{| class="wikitable"
{| class="wikitable"
|+
|+
!Tuning
!Tuning
!Equivalent edo
!Equivalent EDO
!Comment
!Comment
|-
|-
|2edn
|1edkl
|
|[[1edo]]
|A stack of two major sixths
|Warning: Inaccurate to 1edo by ~194.8 cents in step size
|-
|-
|3edn
|2edkl
|[[2edo]]
|[[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]]
|
|
|-
|-
|4edn
|5edkl
|[[6edo]]
|
|
| rowspan="2" |Neither are equivalent with [[3edo]]
|-
|-
|5edn
|6edkl
|[[7edo]]
|
|
|-
|-
|6edn
|7edkl
|[[4edo]]
|[[8edo]]
|With a stretch
|
|-
|-
|7edn
|8edkl
|[[5edo]]
|[[10edo]]
|
|
|-
|-
|8edn
|9edkl
|[[11edo]]
|
|
|Entirely misses 2/1, falling halfway between 5edo and 6edo
|-
|-
|9edn
|10edkl
|[[6edo]]
|[[12edo]]
|With a considerable stretch
|Has a good fifth (~0.1% off a just fifth)
|-
|-
|10edn
|11edkl
|[[7edo]]
|[[13edo]]
|
|
|-
|-
|11edn
|12edkl
|[[14edo]]
|
|
| rowspan="2" |Neither are equivalent to 8edo
|-
|-
|12edn
|13edkl
|[[16edo]]
|Has a phenomenal major third (~0.01% off a just major third)
|-
|14edkl
|[[17edo]]
|
|
|-
|-
|13edn
|15edkl
|[[9edo]]
|[[18edo]]
|
|
|-
|-
|14edn
|16edkl
|[[19edo]]
|
|
| rowspan="2" |Neither are equivalent to 10edo
|-
|-
|15edn
|17edkl
|[[20edo]]
|
|
|-
|-
|16edn
|18edkl
|[[11edo]]
|[[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]]
|
|
|-
|-
|17edn
|22edkl
|[[12edo]]
|[[26edo]]
|With a noticeable stretch, given the dominance of 12edo this is more likely to sound like out of tune 12edo than it's own tuning
|Good fourth, bad fifth
|-
|-
|18edn
|26edkl
|[[31edo]]
|
|
|Entirely misses 2/1, falling halfway between 12 and 13edo
|-
|-
|19edn
|31edkl
|[[13edo]]
|[[37edo]]
|Noticeably compressed
|
|-
|-
|20edn
|36edkl
|[[14edo]]
|[[43edo]]
|Noticeably stretched
|
|-
|-
|21edn
|62edkl
|[[74edo]]
|
|
|Entirely misses 2/1, falling halfway between 14edo and 15edo
|-
|-
|22edn
|88edkl
|[[105edo]]
|
|
|Cannot be considered equivalent to [[15edo]]
|-
|-
|23edn
|1000edkl
|[[16edo]]
|[[1194edo]]
|
|
|-
|-
|24edn
|2396edkl
|[[17edo]]
|[[2857edo]]
|Some equivalences can be spotted due to 17edo's fame but it's a heavy stretch amounting to 40%
|
|}
|}
To see correspondences of EDKLs to other [[Equal-step tuning|equal tunings]] go [[User:MissMagenta/Correspondence of EDKL to Equal Tunings|here]].
Retrieved from "https://en.xen.wiki/w/User:MissMagenta/EDKL"