Quartkeenlig: Difference between revisions
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If 23 steps of pure [[TE tuning]] quartkeenlig in the 11-limit are considered without octave equivalence, the resulting scale would have an octave of 1215.62 cents, which is almost exactly the octave recommended for harmonic [[23edo and octave stretching|stretching of 23edo]]. | If 23 steps of pure [[TE tuning]] quartkeenlig in the 11-limit are considered without octave equivalence, the resulting scale would have an octave of 1215.62 cents, which is almost exactly the octave recommended for harmonic [[23edo and octave stretching|stretching of 23edo]]. | ||
Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless, as [[4/3]] occurs nearly halfway between the 9th and 10th steps | Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless like stretched 23edo, as [[4/3]] occurs nearly halfway between the 9th and 10th steps | ||