Lumatone mapping for 62edo: Difference between revisions

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=== Myna/Orwell-related 6L 2s (8:7 step ratio) ===

The first of these mappings is related to orwell, which uses as sharp septimal minor third ~[[7/6]] as its generator, and myna, which uses a flat classic minor third ~[[6/5]] as its generator; the temperament for this mapping splits the difference and uses a ~~near-just tridecimal minor third~~ ~[[13/11]] as its generator, represented as 15\62, and also splits the octave in half.

The first of these mappings is related to orwell, which uses as sharp septimal minor third ~[[7/6]] as its generator, and myna, which uses a flat classic minor third ~[[6/5]] as its generator; the temperament for this mapping splits the difference and uses a septimal neutral second ~[[35/32]] as its generator, represented as 8\62, and also splits the octave in half.

=== Hemimeantone-related 6L 2s (9:4 step ratio) ===

The second is related to hemimeantone]], using a slightly ~~flat~~ tridecimal semifourth ~[[15/13]] (represented as 13\62) as a its generator, making half of the (flat) fourth ~[[4/3]], but also splitting the octave in half. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''].

The second is related to [[hemimeantone]], using a slightly sharp tridecimal semifourth ~[[15/13]] (represented as 13\62) as a its generator, making half of the (flat) fourth ~[[4/3]], but also splitting the octave in half. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''].

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 === Myna/Orwell-related 6L&nbsp;2s (8:7 step ratio) ===
-The first of these mappings is related to orwell, which uses as sharp septimal minor third ~[[7/6]] as its generator, and myna, which uses a flat classic minor third ~[[6/5]] as its generator; the temperament for this mapping splits the difference and uses a near-just tridecimal minor third ~[[13/11]] as its generator, represented as 15\62, and also splits the octave in half.
+The first of these mappings is related to orwell, which uses as sharp septimal minor third ~[[7/6]] as its generator, and myna, which uses a flat classic minor third ~[[6/5]] as its generator; the temperament for this mapping splits the difference and uses a septimal neutral second ~[[35/32]] as its generator, represented as 8\62, and also splits the octave in half.
 {{Lumatone EDO mapping|n=62|start=43|xstep=8|ystep=-1}}
 === Hemimeantone-related 6L&nbsp;2s (9:4 step ratio) ===
-The second is related to hemimeantone]], using a slightly flat tridecimal semifourth ~[[15/13]] (represented as 13\62) as a its generator, making half of the (flat) fourth ~[[4/3]], but also splitting the octave in half. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''].
+The second is related to [[hemimeantone]], using a slightly sharp tridecimal semifourth ~[[15/13]] (represented as 13\62) as a its generator, making half of the (flat) fourth ~[[4/3]], but also splitting the octave in half. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''].
 {{Lumatone EDO mapping|n=62|start=2|xstep=9|ystep=-5}}