1166edo - Revision history

ArrowHead294 at 12:51, 21 February 2025

2025-02-21T12:51:31Z

← Older revision		Revision as of 12:51, 21 February 2025
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	=== Prime harmonics ===		=== Prime harmonics ===

	{{harmonics in equal\|1166}}		{{harmonics in equal\|1166}}

	=== Subsets and supersets ===		=== Subsets and supersets ===

	1166edo factors as {{Factorization\|1166}}, with subset edos {{EDOs\|1, 2, 11, 22, 53, 106, 583}}, of which 22edo and 53edo are particularly notable. See above.		1166edo factors as {{Factorization\|1166}}, with subset edos {{EDOs\|1, 2, 11, 22, 53, 106, 583}}, of which 22edo and 53edo are particularly notable. See above.

Francium: changed EDO intro to ED intro

2025-02-21T05:58:15Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:58, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1166~~}}		{{ED intro}}

	1166edo is consistent in the 9-odd-limit.		1166edo is consistent in the 9-odd-limit.

Eliora at 16:23, 9 December 2023

2023-12-09T16:23:39Z

← Older revision		Revision as of 16:23, 9 December 2023
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	In the 5-limit, 1166edo naturally lends itself to interpretation as a superset of [[22edo]] and [[53edo]]. It inherits the mapping for [[3/2]] from 53edo, tempering out the 53rd-octave [[Mercator's comma]], {{monzo\|-84 53}}, as well as the 22nd-octave [[major arcana]] comma, {{monzo\|-193 154 -22}}. In the 7-limit, it tempers out [[2401/2400]], [[65625/65536]], and {{monzo\|36 -50 15 3}}, providing a tuning for the [[tertiaseptal]] temperament.		In the 5-limit, 1166edo naturally lends itself to interpretation as a superset of [[22edo]] and [[53edo]]. It inherits the mapping for [[3/2]] from 53edo, tempering out the 53rd-octave [[Mercator's comma]], {{monzo\|-84 53}}, as well as the 22nd-octave [[major arcana]] comma, {{monzo\|-193 154 -22}}. In the 7-limit, it tempers out [[2401/2400]], [[65625/65536]], and {{monzo\|36 -50 15 3}}, providing a tuning for the [[tertiaseptal]] temperament.

	In higher limits, it is a strong 2.3.17.19.41.43 subgroup tuning.		In higher limits, it is a strong 2.3.17.19.41.43 subgroup tuning. Alternatively, 2.3.7/5.13/11.17.19 is also a strong subgroup choice.

	=== Prime harmonics ===		=== Prime harmonics ===

Eliora: Created page with "{{Infobox ET}} {{EDO intro|1166}} 1166edo is consistent in the 9-odd-limit. In the 5-limit, 1166edo naturally lends itself to interpretation as a superset of 22edo and [..."

2023-12-08T00:36:15Z

Created page with "{{Infobox ET}} {{EDO intro|1166}} 1166edo is consistent in the 9-odd-limit. In the 5-limit, 1166edo naturally lends itself to interpretation as a superset of 22edo and [..."

New page

{{Infobox ET}}
{{EDO intro|1166}}

1166edo is consistent in the 9-odd-limit.

In the 5-limit, 1166edo naturally lends itself to interpretation as a superset of [[22edo]] and [[53edo]]. It inherits the mapping for [[3/2]] from 53edo, tempering out the 53rd-octave [[Mercator's comma]], {{monzo|-84 53}}, as well as the 22nd-octave [[major arcana]] comma, {{monzo|-193 154 -22}}. In the 7-limit, it tempers out [[2401/2400]], [[65625/65536]], and {{monzo|36 -50 15 3}}, providing a tuning for the [[tertiaseptal]] temperament.

In higher limits, it is a strong 2.3.17.19.41.43 subgroup tuning.

=== Prime harmonics ===

{{harmonics in equal|1166}}

=== Subsets and supersets ===

1166edo factors as {{Factorization|1166}}, with subset edos {{EDOs|1, 2, 11, 22, 53, 106, 583}}, of which 22edo and 53edo are particularly notable. See above.