5L 3s: Difference between revisions

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

== "Oneirotonic maqam" ==

"Oneirotonic maqam" is based on the idea "If [[maqam]] is loosely an extension of diatonic that uses neutral intervals, what is the oneirotonic counterpart that uses oneirotonic neutral intervals?" or "What if we distorted maqam scales similarly to how oneirotonic distorts diatonic scales?" The following assumes an edo with A-Team oneirotonic scales and neutral mosseconds (i.e. half of an oneirotonic minor mosthird) such as [[18edo]] and [[26edo]]. In rank-2 [[temperament]] terms, this requires a loosely 18&26 structure.

* 26edo can be used if you want neutral mosseconds and minor mosthirds closer to their [[24edo]] counterparts. In 26edo these are 138c and 277c respectively, but in 18edo these are 133c and 267c.

* 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.

== 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 878: / Line 878: @@
 *58:61:65:68:72:76:80:84:89:94:99:104:110:116 A very low-complexity 13neji; not optimized for transposability.
+== "Oneirotonic maqam" ==
+"Oneirotonic maqam" is based on the idea "If [[maqam]] is loosely an extension of diatonic that uses neutral intervals, what is the oneirotonic counterpart that uses oneirotonic neutral intervals?" or "What if we distorted maqam scales similarly to how oneirotonic distorts diatonic scales?" The following assumes an edo with A-Team oneirotonic scales and neutral mosseconds (i.e. half of an oneirotonic minor mosthird) such as [[18edo]] and [[26edo]]. In rank-2 [[temperament]] terms, this requires a loosely 18&26 structure.
+* 26edo can be used if you want neutral mosseconds and minor mosthirds closer to their [[24edo]] counterparts. In 26edo these are 138c and 277c respectively, but in 18edo these are 133c and 267c.
+* 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.
 == 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.