Lumatone mapping for 7ed8/5

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Potentially many ways exist to map 7ed8/5 to the Lumatone; however, since this is a non-octave tuning, the Standard Lumatone mapping for Pythagorean is not one of them.

Unnamed temperament 1L 1s (8/5-equivalent) mapping

Bryan Deister has demonstrated a mapping of 7ed8/5 using a 1L 1s (8/5-equivalent) scale having a 5:2 step ratio and rotated to proceed right and up, in 7ed(8/5) improv (2025). Right by one key is 5\7ed8/5, which yields a near-just ~7/5 but also gets mapped as a very flat (but still consistent) ~10/7; two of these yield a very flat octave (~2/1). Down-right by one key is 3\7ed8/5, which functions as a fairly sharp ~17/14 and a very flat ~21/17. Up one key is 2\7ed8/5, which sounds like a near-just septimal whole tone (~8/7), but actual ~8/7 is instead inconsistently mapped to 1\7ed8/5, thus requiring 2\7ed8/5 to be mapped as a very sharp ~9/8 or a fairly flat ~15/13. Superficially, the range appears to be slightly over five instances of 8/5, and the overall 8/5 slope is very gently upward; however, due to the rotated and very wide-stepping scale pattern, the actual range is over nineteen octaves (as demonstrated in the video by the production of some extremely high notes); proceeding in the normal rightward and slightly downward direction instead yields a scale of 5L 1s (4096/625-equivalent) having a 5:3 step ratio.

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Todo: complete page

Need a Navbox Lumatone that doesn't think this is a Lumatone mapping for an EDO.

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