Lumatone mapping for 49edo: Difference between revisions

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Since 49edo is a [[superpyth]] temperament, the classic major third ~[[5/4]] is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯); also, the Pythagorean major second ~[[9/8]] is mapped inconsistently to be the same as the septimal major second ~[[8/7]]. [[Cam Taylor]] demonstrates this mapping in [https://www.youtube.com/watch?v=fns6688IRpg ''49-equal: 7-equal meets superpyth''] (2023).

== Whitewood + Bohpier ==

Since [[49edo]] is a multiple of [[7edo]], and not too far beyond the highest non-diatonic multiple thereof, [[whitewood]] mappings are legitimate, as [[Bryan Deister]] demonstrates in [https://www.youtube.com/shorts/BcBtD3nuEQs ''49edo groove''] (2026). The sevenths of octaves proceed right, and therefore the octaves slope upwards with this, yielding a range a bit over 4½ octaves. The generator apart from the octave division proceeds down-right; as 6\42, it functions as a somewhat flat Alpharabian tendoneutral second ~[[12/11]] (and if the 49f val is used, also as a rather sharp but still consistent tridecimal neutral second ~[[13/12]]), thus making this also a [[bohpier]] mapping, with a rotated [[1L 7s]] scale having a 7:6 step ratio. Three of these generators make a somewhat sharp septimal major third ~[[9/7]]; four of them make a somewhat sharp lesser septimal tritone ~[[7/5]]; six of them make a slightly flat classic major sixth ~[[5/3]]; and seven of them make a very sharp classic major seventh ~[[9/5]].

== Didacus ==

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 Since 49edo is a [[superpyth]] temperament, the classic major third ~[[5/4]] is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯); also, the Pythagorean major second ~[[9/8]] is mapped inconsistently to be the same as the septimal major second ~[[8/7]]. [[Cam Taylor]] demonstrates this mapping in [https://www.youtube.com/watch?v=fns6688IRpg ''49-equal: 7-equal meets superpyth''] (2023).
 {{Lumatone EDO mapping|n=49|start=10|xstep=9|ystep=-7}}
+== Whitewood + Bohpier ==
+Since [[49edo]] is a multiple of [[7edo]], and not too far beyond the highest non-diatonic multiple thereof, [[whitewood]] mappings are legitimate, as [[Bryan Deister]] demonstrates in [https://www.youtube.com/shorts/BcBtD3nuEQs ''49edo groove''] (2026). The sevenths of octaves proceed right, and therefore the octaves slope upwards with this, yielding a range a bit over 4½ octaves. The generator apart from the octave division proceeds down-right; as 6\42, it functions as a somewhat flat Alpharabian tendoneutral second ~[[12/11]] (and if the 49f val is used, also as a rather sharp but still consistent tridecimal neutral second ~[[13/12]]), thus making this also a [[bohpier]] mapping, with a rotated [[1L&nbsp;7s]] scale having a 7:6 step ratio. Three of these generators make a somewhat sharp septimal major third ~[[9/7]]; four of them make a somewhat sharp lesser septimal tritone ~[[7/5]]; six of them make a slightly flat classic major sixth ~[[5/3]]; and seven of them make a very sharp classic major seventh ~[[9/5]].
+{{Lumatone EDO mapping|n=49|start=34|xstep=7|ystep=-1}}
 == Didacus ==