Lumatone mapping for 25edo: Difference between revisions

Line 5:

== Blackwood ==

== Blackwood + Hamity ==

Since 25edo's flat fifth is very flat, even more than [[16edo]], better options exist for reaching consonant intervals easily, and the ~~the~~ [[~~Blackwood~~]] ~~mapping~~ is ~~one option~~.

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.

=== 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).

== Luna ==

@@ Line 5: / Line 5: @@
 {{Lumatone EDO mapping|n=25|start=11|xstep=3|ystep=2}}
-== Blackwood ==
+== Blackwood + Hamity ==
-Since 25edo's flat fifth is very flat, even more than [[16edo]], better options exist for reaching consonant intervals easily, and the the [[Blackwood]] mapping is one option.
+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.
+=== 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}}
 == Luna ==