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| === Odd harmonics === | | === Odd harmonics === |
| {{Harmonics in equal|59|columns=13}} | | {{Harmonics in equal|59|columns=13}} |
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| === Octave stretch ===
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| 59edo’s approximations of 3/1, 7/1 and 11/1 are improved by [[93edt]], a [[Octave stretch|stretched-octave]] version of 59edo. The trade-off is a slightly worse 2/1 and 5/1. The tuning [[203ed11]] could also be used as it is near identical to 93edt.
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| If one prefers ''[[Octave shrinking|compressed octaves]]'', then [[166ed7]] is a viable option. It improves upon 59edo’s 3/1, 7/1 and 13/1 at the cost of a slightly worse 2/1 and 5/1, but substantially worse 11/1. It is a more accurate choice than 93edt in the [[7-limit]] or no-11s [[13-limit]] due to its better 2/1, but less accurate than 93edt in the [[11-limit]] due to its heavily damaged 11/1.
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| There are also some nearby [[Zeta peak index]] (ZPI) tunings which can be used to improve 59edo’s JI approximations: 293zpi, 294zpi, 295zpi, 296zpi and 297zpi. The main Zeta peak index page details all five tunings.
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| === Subsets and supersets === | | === Subsets and supersets === |