462edo: Difference between revisions

(2 intermediate revisions by 2 users not shown)

Line 1:

~~== Theory ==~~

462edo is [[enfactoring|enfactored]] in the [[3-limit]] and in[[consistent]] to the [[5-odd-limit]]. It can be considered for the 2.3.7.11.17 [[subgroup]], tempering out [[1089/1088]], 34992/34969, 944163/941192 and 10323369/10307264.

~~462et~~ is ~~only~~ consistent to the [[3-odd-limit]]. It can be considered for the 2.3.7.11.17 [[subgroup]], tempering out [[1089/1088]], 34992/34969, 944163/941192 and 10323369/10307264.

=== Odd harmonics ===

Line 9:

Line 8:

=== Subsets and supersets ===

462 factors into 2 × 3 × 7 × 11, with subset edos {{EDOs|2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, and 231}}. [[1386edo]], which triples it, gives a good correction to the ~~harmonic~~ 5.

462 factors into 2 × 3 × 7 × 11, with subset edos {{EDOs|2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, and 231}}. [[1386edo]], which triples it, gives a good correction to the harmonics 3 and 5.

<!--

== Regular temperament properties ==

{| class="wikitable center-4 center-5 center-6"

~~! rowspan="2" |[[Subgroup]]~~

~~! rowspan="2" |[[Comma list|Comma List]]~~

~~! rowspan="2" |[[Mapping]]~~

~~! rowspan="2" |Optimal<br>8ve Stretch (¢)~~

~~! colspan="2" |Tuning Error~~

|-

~~![[TE error|Absolute]] (¢)~~

~~![[TE simple badness|Relative]] (%)~~

|-

|2.3

! rowspan="2" | [[Subgroup]]

|~~{{monzo~~|~~-122 77}}~~

! rowspan="2" | [[Comma list]]

|~~{{mapping|462 732}}~~

! rowspan="2" | [[Mapping]]

| ~~0.2070~~

! rowspan="2" | Optimal<br />8ve stretch (¢)

| ~~0.2071~~

! colspan="2" | Tuning error

| ~~7.97~~

|-

! [[TE error|Absolute]] (¢)

! [[TE simple badness|Relative]] (%)

|}

-->

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|462}}
+{{ED intro}}
-== Theory ==
+edo is [[enfactoring|enfactored]] in the [[3-limit]] and in[[consistent]] to the [[5-odd-limit]]. It can be considered for the 2.3.7.11.17 [[subgroup]], tempering out [[1089/1088]], 34992/34969, 944163/941192 and 10323369/10307264.
-et is only consistent to the [[3-odd-limit]]. It can be considered for the 2.3.7.11.17 [[subgroup]], tempering out [[1089/1088]], 34992/34969, 944163/941192 and 10323369/10307264.
 === Odd harmonics ===
@@ Line 9: / Line 8: @@
 === Subsets and supersets ===
-factors into 2 × 3 × 7 × 11, with subset edos {{EDOs|2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, and 231}}. [[1386edo]], which triples it, gives a good correction to the harmonic 5.
+factors into 2 × 3 × 7 × 11, with subset edos {{EDOs|2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, and 231}}. [[1386edo]], which triples it, gives a good correction to the harmonics 3 and 5.
+<!--
 == Regular temperament properties ==
 {| class="wikitable center-4 center-5 center-6"
-! rowspan="2" |[[Subgroup]]
-! rowspan="2" |[[Comma list|Comma List]]
-! rowspan="2" |[[Mapping]]
-! rowspan="2" |Optimal<br>8ve Stretch (¢)
-! colspan="2" |Tuning Error
-|-
-![[TE error|Absolute]] (¢)
-![[TE simple badness|Relative]] (%)
 |-
-|2.3
+! rowspan="2" | [[Subgroup]]
-|{{monzo|-122 77}}
+! rowspan="2" | [[Comma list]]
-|{{mapping|462 732}}
+! rowspan="2" | [[Mapping]]
-| 0.2070
+! rowspan="2" | Optimal<br />8ve stretch (¢)
-| 0.2071
+! colspan="2" | Tuning error
-| 7.97
+|-
+! [[TE error|Absolute]] (¢)
+! [[TE simple badness|Relative]] (%)
 |}
+-->