462edo - Revision history

ArrowHead294 at 12:52, 21 February 2025

2025-02-21T12:52:25Z

← Older revision		Revision as of 12:52, 21 February 2025
Line 12:		Line 12:
	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
			\|-
	! rowspan="2" \| [[Subgroup]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \| [[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	! colspan="2" \| Tuning ~~Error~~		! colspan="2" \| Tuning error
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	! [[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|}		\|}
	-->		-->

Francium: changed EDO intro to ED intro

2025-02-21T05:57:29Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:57, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|462~~}}		{{ED intro}}

	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.		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.

FloraC: Review

2024-02-18T13:31:26Z

Review

← Older revision		Revision as of 13:31, 18 February 2024
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	{{EDO intro\|462}}		{{EDO intro\|462}}

	~~== 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 ===		=== Odd harmonics ===
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	=== Subsets and supersets ===		=== 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 ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
	! rowspan="2" \|[[Subgroup]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \|[[Comma list\|Comma List]]		! rowspan="2" \| [[Comma list\|Comma List]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \|Optimal<br>8ve Stretch (¢)		! rowspan="2" \| Optimal<br>8ve Stretch (¢)
	! colspan="2" \|Tuning Error		! colspan="2" \| Tuning Error
	\|-		\|-
	![[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	![[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|-
	~~\|2.3~~
	~~\|{{monzo\|-122 77}}~~
	~~\|{{mapping\|462 732}}~~
	~~\| 0.2070~~
	~~\| 0.2071~~
	~~\| 7.97~~
	\|}		\|}
			-->

Francium: Created page with "{{Infobox ET}} {{EDO intro|462}} == Theory == 462et is only consistent to the 3-odd-limit. It can be considered for the 2.3.7.11.17 subgroup, tempering out 1089/108..."

2024-02-18T12:52:23Z

Created page with "{{Infobox ET}} {{EDO intro|462}} == Theory == 462et is only consistent to the 3-odd-limit. It can be considered for the 2.3.7.11.17 subgroup, tempering out 1089/108..."

New page

{{Infobox ET}}
{{EDO intro|462}}

== Theory ==
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 ===
{{Harmonics in equal|462}}

=== 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.

== 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
|{{monzo|-122 77}}
|{{mapping|462 732}}
| 0.2070
| 0.2071
| 7.97
|}