470edo: Difference between revisions

(One intermediate revision by one other user not shown)

Line 1:

== Theory ==

~~470 = 5 × 94, and~~ 470edo shares the [[perfect fifth|fifth]] with [[94edo]]. Unlike 94edo, however, 470edo is only [[consistent]] to the [[5-odd-limit]]. Using the [[patent val]], the equal temperament [[tempering out|tempers out]] [[703125/702464]], 823543/820125, and 1500625/1492992 in the 7-limit; [[3025/3024]], [[4000/3993]], [[6250/6237]], [[19712/19683]], and 117649/117128 in the 11-limit. It [[support]]s [[uniwiz]] and [[decimetra]].

470edo shares the [[perfect fifth|fifth]] with [[94edo]]. Unlike 94edo, however, 470edo is only [[consistent]] to the [[5-odd-limit]]. Using the [[patent val]], the equal temperament [[tempering out|tempers out]] [[703125/702464]], 823543/820125, and 1500625/1492992 in the 7-limit; [[3025/3024]], [[4000/3993]], [[6250/6237]], [[19712/19683]], and 117649/117128 in the 11-limit. It [[support]]s [[uniwiz]] and [[decimetra]].

=== Prime harmonics ===

Line 9:

=== Subsets and supersets ===

Since 470 factors into ~~2 × 5 × 47~~, 470edo has subset edos {{EDOs| 2, 5, 10, 47, 94, and 235 }}.

Since 470 factors into {{factorisation|470}}, 470edo has subset edos {{EDOs| 2, 5, 10, 47, 94, and 235 }}.

== Regular temperament properties ==

Line 75:

| [[Amity]] (5-limit)

|}

<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if ~~it is~~ distinct

<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|470}}
+{{ED intro}}
 == Theory ==
-= 5 × 94, and 470edo shares the [[perfect fifth|fifth]] with [[94edo]]. Unlike 94edo, however, 470edo is only [[consistent]] to the [[5-odd-limit]]. Using the [[patent val]], the equal temperament [[tempering out|tempers out]] [[703125/702464]], 823543/820125, and 1500625/1492992 in the 7-limit; [[3025/3024]], [[4000/3993]], [[6250/6237]], [[19712/19683]], and 117649/117128 in the 11-limit. It [[support]]s [[uniwiz]] and [[decimetra]].
+edo shares the [[perfect fifth|fifth]] with [[94edo]]. Unlike 94edo, however, 470edo is only [[consistent]] to the [[5-odd-limit]]. Using the [[patent val]], the equal temperament [[tempering out|tempers out]] [[703125/702464]], 823543/820125, and 1500625/1492992 in the 7-limit; [[3025/3024]], [[4000/3993]], [[6250/6237]], [[19712/19683]], and 117649/117128 in the 11-limit. It [[support]]s [[uniwiz]] and [[decimetra]].
 === Prime harmonics ===
@@ Line 9: / Line 9: @@
 === Subsets and supersets ===
-Since 470 factors into 2 × 5 × 47, 470edo has subset edos {{EDOs| 2, 5, 10, 47, 94, and 235 }}.
+Since 470 factors into {{factorisation|470}}, 470edo has subset edos {{EDOs| 2, 5, 10, 47, 94, and 235 }}.
 == Regular temperament properties ==
@@ Line 75: / Line 75: @@
 | [[Amity]] (5-limit)
 |}
-<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct