Lumatone mapping for 25edo: Difference between revisions

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~~There are several conceivable ways to map [[25edo]] onto the [[Lumatone]] keyboard. However, as it has multiple small rings of 5ths, the [[Standard~~ Lumatone mapping ~~for Pythagorean]] is not one of them.~~ You can use the b val, which creates the [[2L 5s]] [[Mavila]] mapping.

== Antidiatonic ==

You can use the b val, which creates the [[2L 5s]] [[Mavila]] mapping.

== Blackwood + Hamity ==

Since 25edo's flat fifth is very flat, even more than [[16edo]], better options exist for reaching consonant intervals easily, and [[Blackwood]] mappings serve that need, while also functioning as [[Hamity]] mappings (the generator 9\25 being a slightly flat septimal major third ~[[9/7]]) supporting scales [[3L 5s]] (5:2 step ratio, Checkertonic) + [[3L 2s]] (7:2 step ratio). A rotated antidiatonic ([[2L 5s]], 5:3 step ratio) scale is also available, with vertically repeated notes partially mitigating the required vertical wraparounds. Two versions are available. Octaves slope moderately upwards as expected for Blackwood mappings, but the range is slightly different between versions.

~~This means~~ the ~~fifth is very flat, however~~, ~~even moreso than [[16edo]]. Better options for reaching consonant intervals easily are~~ the ~~[[Blackwood]] mapping~~.

=== Hamity generator 9\25 laid out as right 1 key + up 2 keys, favoring Antidiatonic scale ===

The antidiatonic scale has less of a slope than the Hamity scale, and the range is 6 octaves.

=== Hamity generator 9\25 laid out as right 1 key + down-right 2 keys, favoring Checkertonic scale ===

The Hamity scale has less of a slope than the antidiatonic scale, and the range is 5¾ octaves. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/flOUjg09uAY ''25edo''] (2023).

~~Or the~~ [[~~Luna~~]] mapping, ~~which~~ puts the 5th and 7th harmonics in a ~~neat~~ line from the root.

== Luna ==

The [[luna]] mapping also works well, as it puts the decently tuned 5th and 7th harmonics in a straight line from the root.

== Gariberttet + Magic ==

[[Bryan Deister]] has demonstrated a mapping of [[25edo]] that functions for both [[Gariberttet]] compressed to [[1L 3s]] (7:6 step ratio) and [[Magic]] [[3L 4s]] (7:1 step ratio), both having rotated scales, in [https://www.youtube.com/shorts/4WZo1loLbeI ''Waltz in 25edo (short clip)''] (2024), with both the [[Blackwood]] fifth ~[[50/33]] and the [[Mavila]] sub-fifth ~[[25/17]] in easy reach. The range is over nine octaves, although with a severe downwards slant.

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-There are several conceivable ways to map [[25edo]] onto the [[Lumatone]] keyboard. However, as it has multiple small rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. You can use the b val, which creates the [[2L&nbsp;5s]] [[Mavila]] mapping.
+{{Lumatone mapping intro}}
+== Antidiatonic ==
+You can use the b&nbsp;val, which creates the [[2L&nbsp;5s]] [[Mavila]] mapping.
 {{Lumatone EDO mapping|n=25|start=11|xstep=3|ystep=2}}
+== Blackwood + Hamity ==
+Since 25edo's flat fifth is very flat, even more than [[16edo]], better options exist for reaching consonant intervals easily, and [[Blackwood]] mappings serve that need, while also functioning as [[Hamity]] mappings (the generator 9\25 being a slightly flat septimal major third ~[[9/7]]) supporting scales [[3L&nbsp;5s]] (5:2 step ratio, Checkertonic) + [[3L&nbsp;2s]] (7:2 step ratio). A rotated antidiatonic ([[2L&nbsp;5s]], 5:3 step ratio) scale is also available, with vertically repeated notes partially mitigating the required vertical wraparounds. Two versions are available. Octaves slope moderately upwards as expected for Blackwood mappings, but the range is slightly different between versions.
-This means the fifth is very flat, however, even moreso than [[16edo]]. Better options for reaching consonant intervals easily are the [[Blackwood]] mapping.
+=== Hamity generator 9\25 laid out as right 1 key + up 2 keys, favoring Antidiatonic scale ===
+The antidiatonic scale has less of a slope than the Hamity scale, and the range is 6 octaves.
 {{Lumatone EDO mapping|n=25|start=21|xstep=5|ystep=-2}}
+=== Hamity generator 9\25 laid out as right 1 key + down-right 2 keys, favoring Checkertonic scale ===
+The Hamity scale has less of a slope than the antidiatonic scale, and the range is 5¾ octaves. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/flOUjg09uAY ''25edo''] (2023).
+{{Lumatone EDO mapping|n=25|start=4|xstep=5|ystep=-3}}
-Or the [[Luna]] mapping, which puts the 5th and 7th harmonics in a neat line from the root.
+== Luna ==
+The [[luna]] mapping also works well, as it puts the decently tuned 5th and 7th harmonics in a straight line from the root.
 {{Lumatone EDO mapping|n=25|start=7|xstep=4|ystep=1}}
+== Gariberttet + Magic ==
+[[Bryan Deister]] has demonstrated a mapping of [[25edo]] that functions for both [[Gariberttet]] compressed to [[1L&nbsp;3s]] (7:6 step ratio) and [[Magic]] [[3L&nbsp;4s]] (7:1 step ratio), both having rotated scales, in [https://www.youtube.com/shorts/4WZo1loLbeI ''Waltz in 25edo (short clip)''] (2024), with both the [[Blackwood]] fifth ~[[50/33]] and the [[Mavila]] sub-fifth ~[[25/17]] in easy reach. The range is over nine octaves, although with a severe downwards slant.
+{{Lumatone EDO mapping|n=25|start=0|xstep=7|ystep=-1}}
 {{Navbox Lumatone}}