143edo - Revision history

FloraC: Sectioning following similar pages and misc. improvements

2025-11-07T16:18:44Z

Sectioning following similar pages and misc. improvements

← Older revision		Revision as of 16:18, 7 November 2025
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	{{ED intro}}		{{ED intro}}

			== Theory ==
	143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]] through to the [[13-limit]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].		143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]] through to the [[13-limit]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].

	== Odd harmonics ==		=== Odd harmonics ===
	{{Harmonics in equal\|143}}		{{Harmonics in equal\|143}}

	== Subsets and supersets ==		=== Subsets and supersets ===
	As 143 is 11 × 13, 143edo allows the [[polymicrotonality\|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]:		As 143 is {{nowrap\| 11 × 13 }}, 143edo allows the [[polymicrotonality\|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]:

	[[File:13_against_11.gif\|alt=13_against_11.gif\|800x312px\|13_against_11.gif]]		[[File:13_against_11.gif\|alt=13_against_11.gif\|800x312px\|13_against_11.gif]]

Lucius Chiaraviglio: Fix section headings; add interval table

2025-11-07T09:58:01Z

Fix section headings; add interval table

← Older revision		Revision as of 09:58, 7 November 2025
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	143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]] through to the [[13-limit]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].		143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]] through to the [[13-limit]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].

	=== Odd harmonics ===		== Odd harmonics ==
	{{Harmonics in equal\|143}}		{{Harmonics in equal\|143}}

	=== Subsets and supersets ===		== Subsets and supersets ==
	As 143 is 11 × 13, 143edo allows the [[polymicrotonality\|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]:		As 143 is 11 × 13, 143edo allows the [[polymicrotonality\|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]:

Line 13:		Line 13:

	If the 11edo and 13edo subsets are analyzed as two scales that share the [[tonic]] and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.		If the 11edo and 13edo subsets are analyzed as two scales that share the [[tonic]] and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.

			== Intervals ==
			{{Interval table}}

Lériendil at 06:25, 14 September 2025

2025-09-14T06:25:16Z

← Older revision		Revision as of 06:25, 14 September 2025
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	{{ED intro}}		{{ED intro}}

	143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].		143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]] through to the [[13-limit]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].

	=== Odd harmonics ===		=== Odd harmonics ===

Lériendil at 06:24, 14 September 2025

2025-09-14T06:24:43Z

← Older revision		Revision as of 06:24, 14 September 2025
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	{{ED intro}}		{{ED intro}}

	143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large.		143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large. With the patent sharp fifth and flat 7, it supports a sharp form of [[slendric]] and [[hemithirds]], while the 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].

	~~The~~ 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].

	=== Odd harmonics ===		=== Odd harmonics ===

ArrowHead294 at 17:04, 18 February 2025

2025-02-18T17:04:30Z

← Older revision		Revision as of 17:04, 18 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large.		143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large.

FloraC: +one-liner overview

2024-05-21T07:04:25Z

+one-liner overview

← Older revision		Revision as of 07:04, 21 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro}}		{{EDO intro}}

			143edo is only [[consistent]] to the [[5-odd-limit]], and the error of the [[harmonic]] [[3/1\|3]] is quite large.

	The 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].		The 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].

FloraC: Adopt template: EDO intro; +prime error table; -redundant categories; misc. cleanup

2024-05-21T06:59:39Z

Adopt template: EDO intro; +prime error table; -redundant categories; misc. cleanup

← Older revision		Revision as of 06:59, 21 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''143edo''' is the [[equal division of the octave]] into 143 parts of approximately 8.392¢ each. The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.~~		{{EDO intro}}

	As 143 is 11*13, 143edo allows the [[~~Polymicrotonality~~\|polymicrotonal]] ~~juxtaposition~~ of [[11edo]] and [[13edo]]:		The 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]].

			=== Odd harmonics ===
			{{Harmonics in equal\|143}}

			=== Subsets and supersets ===
			As 143 is 11 × 13, 143edo allows the [[polymicrotonality\|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]:

	[[File:13_against_11.gif\|alt=13_against_11.gif\|800x312px\|13_against_11.gif]]		[[File:13_against_11.gif\|alt=13_against_11.gif\|800x312px\|13_against_11.gif]]

	If the 11edo and 13edo subsets are analyzed as two scales that share the ~~Tonic~~ and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.		If the 11edo and 13edo subsets are analyzed as two scales that share the [[tonic]] and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.

	~~[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->~~

Aura at 19:06, 4 October 2022

2022-10-04T19:06:56Z

← Older revision		Revision as of 19:06, 4 October 2022
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			{{Infobox ET}}
	'''143edo''' is the [[equal division of the octave]] into 143 parts of approximately 8.392¢ each. The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.		'''143edo''' is the [[equal division of the octave]] into 143 parts of approximately 8.392¢ each. The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.

Fredg999 category edits: Sort key

2022-07-02T16:35:39Z

Sort key

← Older revision		Revision as of 16:35, 2 July 2022
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	If the 11edo and 13edo subsets are analyzed as two scales that share the Tonic and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.		If the 11edo and 13edo subsets are analyzed as two scales that share the Tonic and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Xenwolf: +cat

2021-01-20T07:13:16Z

+cat

← Older revision		Revision as of 07:13, 20 January 2021
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	'''143edo''' is the [[equal division of the octave]] into 143 parts of approximately 8.392¢ each. The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.		'''143edo''' is the [[equal division of the octave]] into 143 parts of approximately 8.392¢ each. The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.

	As 143 is 11*13, 143edo allows the [[Polymicrotonality\|polymicrotonal]] juxtaposition of [[~~11edo\|~~11edo]] and [[~~13edo\|~~13edo]]:		As 143 is 11*13, 143edo allows the [[Polymicrotonality\|polymicrotonal]] juxtaposition of [[11edo]] and [[13edo]]:

	[[File:13_against_11.gif\|alt=13_against_11.gif\|800x312px\|13_against_11.gif]]		[[File:13_against_11.gif\|alt=13_against_11.gif\|800x312px\|13_against_11.gif]]

	If the 11edo and 13edo subsets are analyzed as two scales that share the Tonic and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.		If the 11edo and 13edo subsets are analyzed as two scales that share the Tonic and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.

			[[Category:Equal divisions of the octave]]