Lumatone mapping for 55edo: Difference between revisions

Tetracot: Alternate tetracot generator that works with 55edo patent val; add artist's name for demo video
Tetracot: Fix wording about alternate tetracot generator, because although the 55 patent val tetracot alternatve is a valid temperament that uses the same mapping, technically it is not the canonical tetracot temperament
 
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== Tetracot ==
== Tetracot ==
The [[6L 1s]] [[Tetracot]] 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 [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).
The [[6L 1s]] [[Tetracot]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. Actual tetracot temperament 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, thereby creating a tetracot analog which works with the [[patent val]] of 55edo. This mapping is shown in action in [[Bryan Deister]]'s [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).
{{Lumatone EDO mapping|n=55|start=37|xstep=8|ystep=-1}}
{{Lumatone EDO mapping|n=55|start=37|xstep=8|ystep=-1}}