4L 3s: Difference between revisions
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== Tuning ranges == | == Tuning ranges == | ||
=== Sixix === | === Sixix === | ||
Sixix tunings (with generator a supraminor third sharper than 5\18 and flatter than 9\32) have step ratios between 5/4 and 3/2. | Sixix tunings (with generator a supraminor third sharper than 5\18 and flatter than 9\32) have step ratios between 5/4 and 3/2. (Some tunings of smitonic sharper than 9\32, such as [[39edo]], do nominally support sixix but aren't very in tune and are more equalized.) | ||
Sixix can be considered "meantone smitonic". This is because sixix tunings share the following features with [[meantone]] diatonic tunings: | Sixix can be considered "meantone smitonic". This is because sixix tunings share the following features with [[meantone]] diatonic tunings: | ||
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| 143.36 | | 143.36 | ||
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=== Orgone === | === Orgone === | ||
[[Orgone]] tunings (with generator a minor third sharper than 4\15 and flatter than 3\11) have step ratios between 2/1 and 3/1. It nominally approximates the 2.7.11 subgroup, on which the [[26edo]] tuning is pretty much optimal. The large step approximates [[8/7]], and the major smifourth (2 large steps + 1 small step) approximates [[11/8]]. | [[Orgone]] tunings (with generator a minor third sharper than 4\15 and flatter than 3\11) have step ratios between 2/1 and 3/1. It nominally approximates the 2.7.11 subgroup, on which the [[26edo]] tuning is pretty much optimal. The large step approximates [[8/7]], and the major smifourth (2 large steps + 1 small step) approximates [[11/8]]. | ||