4L 3s: Difference between revisions
m →Parahard: added note about accuracy |
|||
| Line 534: | Line 534: | ||
=== Parahard === | === Parahard === | ||
In [[parahard]] smitonic (step ratio between 3 and 4, thus with generator between 5\19, 315.79¢ and 4\15, 320¢), the generator is close to a pure [[6/5]] minor third, and 6 minor thirds are used to reach a perfect fifth. As the parahard range contains very accurate edos such as [[53edo]] and [[72edo]], it contains very accurate approximations to many [[low JI]] intervals, | In [[parahard]] smitonic (step ratio between 3 and 4, thus with generator between 5\19, 315.79¢ and 4\15, 320¢), the generator is close to a pure [[6/5]] minor third, and 6 minor thirds are used to reach a perfect fifth. As the parahard range contains very accurate edos such as [[53edo]] and [[72edo]], it contains very accurate approximations to many [[low JI]] intervals, namely basic [[5-limit]] ratios and some ratios involving 13. However, the 7-note MOS only has one perfect fifth, so extending the chain to bigger MOSes, such as the [[4L 7s]] 11-note MOS, is suggested for getting 5-limit harmony. | ||
EDOs that have parahard smitonic include [[15edo]], [[19edo]], [[34edo]], and [[53edo]]. | EDOs that have parahard smitonic include [[15edo]], [[19edo]], [[34edo]], and [[53edo]]. | ||