Revision as of 03:23, 29 May 2026 by Lucius Chiaraviglio(talk | contribs)(→Tetracot: Alternate tetracot generator that works with 55edo patent val; add artist's name for demo video)
The Standard Lumatone mapping for Pythagorean already produces a very efficient mapping for 55edo, so any alternative mapping would have to offer a compelling advantage in making certain intervals or scales easier to play. This mapping is shown in action in Bryan Deister's 55edo improv (2025).
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Tetracot
The 6L 1sTetracot mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. Normally, tetracot uses a flat ptolemaic whole tone ~10/9 (tempered together with a flat undecimal submajor second ~11/10 in the 11-limit), requiring use of the 55c val to get 8\55; but it is possible to bypass the need for this wart by instead using the slightly flat tricesimoprimal whole tone ~31/28 to get 8\55, which works with the patent val of 55edo. This mapping is shown in action in Bryan Deister's 55edo prelude (2025).
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Fibonaccic
As 55 is a fibonacci number, using the fibonacci numbers one or two steps lower in the sequence as a generator will generate a 5L 3s scale that is only slightly less efficient than the diatonic one, but makes playing xenharmonic combinations of notes together much easier.
