5L 3s: Difference between revisions

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* 18edo can be used if you want neutral mosthirds (neutral mos2nd + major mos2nd) closer to conventional neutral thirds. The neutral mos3rd is 333c in 18edo and 323c in 26edo.

== Zheanist theory ==

A-Team oneirotonic may be a particularly good place to bring to bear [[Zheanism]]'s high harmonic chords, as A-Team temperament doesn't yield many low-complexity chords.

A-Team oneirotonic may be a particularly good place to bring to bear [[Zheanism]]'s high harmonic series chords, as A-Team temperament doesn't yield many low-complexity chords.

18edo may be a better basis for a style of oneirotonic Zheanism using comma sharp and comma flat fifths than 13edo (in particular diesis sharp and diesis flat fifths; diesis is a category with a central region of 32 to 40c). In 18edo both the major fifth (+31.4c) and the minor fifth (-35.3) are about a diesis off from a just perfect fifth. In 13edo only the major fifth is a diesis sharp, and it is +36.5c off from just; so there's less wiggle room for a [[neji]] if you want every major fifth to be at most a diesis sharp).

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=== Some oneirotonic nejis ===

*58:61:65:68:72:76:80:84:89:94:99:104:110:116 A very low-complexity 13neji; not optimized for transposability.

== Oneirotonic rank-2 temperaments ==

The only notable harmonic entropy minimum is Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region does not approximate low-complexity JI harmony well, though there are a couple notable subgroup temperaments.

@@ Line 819: / Line 819: @@
 * 18edo can be used if you want neutral mosthirds (neutral mos2nd + major mos2nd) closer to conventional neutral thirds. The neutral mos3rd is 333c in 18edo and 323c in 26edo.
 == Zheanist theory ==
-A-Team oneirotonic may be a particularly good place to bring to bear [[Zheanism]]'s high harmonic chords, as A-Team temperament doesn't yield many low-complexity chords.
+A-Team oneirotonic may be a particularly good place to bring to bear [[Zheanism]]'s high harmonic series chords, as A-Team temperament doesn't yield many low-complexity chords.
 edo may be a better basis for a style of oneirotonic Zheanism using comma sharp and comma flat fifths than 13edo (in particular diesis sharp and diesis flat fifths; diesis is a category with a central region of 32 to 40c). In 18edo both the major fifth (+31.4c) and the minor fifth (-35.3) are about a diesis off from a just perfect fifth. In 13edo only the major fifth is a diesis sharp, and it is +36.5c off from just; so there's less wiggle room for a [[neji]] if you want every major fifth to be at most a diesis sharp).
@@ Line 883: / Line 883: @@
 === Some oneirotonic nejis ===
 *58:61:65:68:72:76:80:84:89:94:99:104:110:116 A very low-complexity 13neji; not optimized for transposability.
 == Oneirotonic rank-2 temperaments ==
 The only notable harmonic entropy minimum is Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region does not approximate low-complexity JI harmony well, though there are a couple notable subgroup temperaments.