Oneirotonic: Difference between revisions
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== Petrtri (13&21, 4:5:9:11:13:17) interpretation == | === Petrtri (13&21, 4:5:9:11:13:17) interpretation === | ||
The 8\21-to-5\13 range of oneirotonic tunings remains relatively unexplored. The three major edos in this range, [[13edo]], [[21edo]] and [[34edo]], all nominally support petrtri, but [[34edo]] is close to optimal for the temperament, with a generator only .33c flat of the optimal ([[POTE]]) petrtri generator of 459.1502c. Close-to-optimal petrtri tunings such as 34edo may be particularly useful for the Sarnathian mode, as Sarnathian in these tunings uniquely approximates four over-2 harmonics plausibly, namely 17/16, 5/4, 11/8, and 13/8. | The 8\21-to-5\13 range of oneirotonic tunings remains relatively unexplored. The three major edos in this range, [[13edo]], [[21edo]] and [[34edo]], all nominally support petrtri, but [[34edo]] is close to optimal for the temperament, with a generator only .33c flat of the optimal ([[POTE]]) petrtri generator of 459.1502c. Close-to-optimal petrtri tunings such as 34edo may be particularly useful for the Sarnathian mode, as Sarnathian in these tunings uniquely approximates four over-2 harmonics plausibly, namely 17/16, 5/4, 11/8, and 13/8. | ||
=== Intervals === | ==== Intervals ==== | ||
Sortable table of Dylathian, the brightest mode: | Sortable table of Dylathian, the brightest mode: | ||