3L 4s: Difference between revisions

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3\10 represents a dividing line between "neutral third scales" on the bottom (eg. [[17edo_neutral_scale|17edo neutral scale]]), and scales generated by submajor and major thirds at the top, with [[10edo|10edo]] standing in between. the neutral third scales, after three more generators, make MOS [[7L_3s|7L 3s]] (dicotonic); the other scales make MOS [[3L_7s|3L 7s]] (sephiroid).

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In dicotonic, the generators are all "neutral thirds," and two of them make an approximation of the "perfect fifth." Additionally, the L of the scale is somewhere around a "whole tone" and the s of the scale is somewhere around a "neutral tone".

The two notable harmonic entropy minima with this pattern are neutral third scales ("dicot" / "hemififth" / "mohajira") where two generators make a 3/2, and [[Magic_family|magic]], where the generator is a 5/4 but five of them make a 3/1.

In sephirotonic, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a "supermajor second" to a "major third" and s is a "semitone" or smaller.

3\10 on this chart represents a dividing line between "neutral third scales" on the bottom (eg. [[17edo_neutral_scale|17edo neutral scale]]), and something else I don't have a name for yet on the top, with [[10edo|10edo]] standing in between. (What do you call this region, dear reader?) Of course, magic is in the top half, but it's a pretty specific scale and doesn't describe the whole range. MOS-wise, the neutral third scales, after three more generations, make MOS [[7L_3s|7L 3s]] ("unfair mosh"); the other scales make MOS [[3L_7s|3L 7s]] ("fair mosh").

In "neutral third scale territory," the generators are all "neutral thirds," and two of them make an approximation of the "perfect fifth." Additionally, the L of the scale is somewhere around a "whole tone" and the s of the scale is somewhere around a "neutral tone".

~~In the as-yet unnamed northern territory~~, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a "supermajor second" to a "major third" and s is a "semitone" or smaller.

== Modes ==

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 | [[11/10]], [[12/11]]
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+\10 represents a dividing line between "neutral third scales" on the bottom (eg. [[17edo_neutral_scale|17edo neutral scale]]), and scales generated by submajor and major thirds at the top, with [[10edo|10edo]] standing in between. the neutral third scales, after three more generators, make MOS [[7L_3s|7L 3s]] (dicotonic); the other scales make MOS [[3L_7s|3L 7s]] (sephiroid).
-<!-- todo -->
+In dicotonic, the generators are all "neutral thirds," and two of them make an approximation of the "perfect fifth." Additionally, the L of the scale is somewhere around a "whole tone" and the s of the scale is somewhere around a "neutral tone".
-The two notable harmonic entropy minima with this pattern are neutral third scales ("dicot" / "hemififth" / "mohajira") where two generators make a 3/2, and [[Magic_family|magic]], where the generator is a 5/4 but five of them make a 3/1.
+In sephirotonic, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a "supermajor second" to a "major third" and s is a "semitone" or smaller.
-\10 on this chart represents a dividing line between "neutral third scales" on the bottom (eg. [[17edo_neutral_scale|17edo neutral scale]]), and something else I don't have a name for yet on the top, with [[10edo|10edo]] standing in between. (What do you call this region, dear reader?) Of course, magic is in the top half, but it's a pretty specific scale and doesn't describe the whole range. MOS-wise, the neutral third scales, after three more generations, make MOS [[7L_3s|7L 3s]] ("unfair mosh"); the other scales make MOS [[3L_7s|3L 7s]] ("fair mosh").
-In "neutral third scale territory," the generators are all "neutral thirds," and two of them make an approximation of the "perfect fifth." Additionally, the L of the scale is somewhere around a "whole tone" and the s of the scale is somewhere around a "neutral tone".
-In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a "supermajor second" to a "major third" and s is a "semitone" or smaller.
 == Modes ==