Lumatone mapping for 62edo: Difference between revisions

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== ~~Myna-related and Mohajira-related (~~Ekic ~~scale)~~ Mappings ==

== Ekic Scale Mappings ==

Since 31edo is such a well-tuned edo in general, most of the mos scales in 62edo do not improve on it, making it difficult to use the extra notes if concordant harmony is your goal. However, there are two different octatonic mappings of comparable efficiency that are clear winners if you simply want access to the full gamut with maximum range. These are the [[6L 2s]] (TAMNAS "Ekic" scale) mappings created by slicing ~~both~~ the ~~generator and~~ period in half for ~~the~~ [[myna]] and [[~~mohajira~~]] mappings.

Since 31edo is such a well-tuned edo in general, most of the mos scales in 62edo do not improve on it, making it difficult to use the extra notes if concordant harmony is your goal. However, there are two different octatonic mappings of comparable efficiency that are clear winners if you simply want access to the full gamut with maximum range. These are the [[6L 2s]] (TAMNAS "Ekic" scale) mappings created by slicing the period in half for a [[myna]]/[[orwell]]-related temperament and a [[hemimeantone]] temperament. Both give a range of a bit over four octaves that are close to level.

[[Bryan Deister]] demonstrates ~~the semi-mohajira~~ mapping in [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''].

=== 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.

=== 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''].

@@ Line 5: / Line 5: @@
 {{Lumatone EDO mapping|n=62|start=20|xstep=12|ystep=-11}}
-== Myna-related and Mohajira-related (Ekic scale) Mappings ==
+== Ekic Scale Mappings ==
-Since 31edo is such a well-tuned edo in general, most of the mos scales in 62edo do not improve on it, making it difficult to use the extra notes if concordant harmony is your goal. However, there are two different octatonic mappings of comparable efficiency that are clear winners if you simply want access to the full gamut with maximum range. These are the [[6L&nbsp;2s]] (TAMNAS "Ekic" scale) mappings created by slicing both the generator and period in half for the [[myna]] and [[mohajira]] mappings.
+Since 31edo is such a well-tuned edo in general, most of the mos scales in 62edo do not improve on it, making it difficult to use the extra notes if concordant harmony is your goal. However, there are two different octatonic mappings of comparable efficiency that are clear winners if you simply want access to the full gamut with maximum range. These are the [[6L&nbsp;2s]] (TAMNAS "Ekic" scale) mappings created by slicing the period in half for a [[myna]]/[[orwell]]-related temperament and a [[hemimeantone]] temperament. Both give a range of a bit over four octaves that are close to level.
-{{Lumatone EDO mapping|n=62|start=50|xstep=8|ystep=-1}}
-[[Bryan Deister]] demonstrates the semi-mohajira mapping in [https://www.youtube.com/watch?v=ujaUA-uwDvE ''62edo improv''].
+=== 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.
+{{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''].
 {{Lumatone EDO mapping|n=62|start=2|xstep=9|ystep=-5}}