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| A step of 41edo is close and consistently mapped to [[64/63]], the septimal comma. | | A step of 41edo is close and consistently mapped to [[64/63]], the septimal comma. |
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| === Octave stretch ===
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| Whether there is intonational improvement from [[stretched and compressed tuning|octave stretch or compression]] depends on which subgroup we are focusing on. For the 5-, 7-, and 11-limit, stretch is advised, though in the case of the 11-limit the stretch should be way milder, whereas for the 13-limit and in particular the 17-limit, little to no stretch or even compression may be suitable for balancing out the sharp and flat tuning tendencies, as is demonstrated by tunings such as [[65edt]], [[106ed6]], and [[147ed12]]. Primes 19, 29, and 31 all tend flat, so stretching will serve again as we take that into account, especially if we use the temperament in any no-17 or no-13 no-17 settings.
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| === Subsets and supersets === | | === Subsets and supersets === |