1ed86.4c - Revision history

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:20:43Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:20, 1 August 2025
Line 1:		Line 1:
	#REDIRECT [[125edo#Subsets and supersets]]		#REDIRECT [[125edo#Subsets and supersets]]

	~~[[Category:Edonoi]]~~

Fredg999: Merged into 125edo

2025-07-30T03:42:51Z

Merged into 125edo

← Older revision		Revision as of 03:42, 30 July 2025
Line 1:		Line 1:
	~~{{Infobox ET\|1ed17069/16238}}~~		#REDIRECT [[125edo#Subsets and supersets]]
	~~{{delete\|should be merged with 22edt or 42zpi}}~~
	'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].

	Because 13.888 is not actually an integer, the scale that results does not actually include [[2/1]], so it is not a ''true'' [[edo]]. Instead it has a [[pseudo-octave]] almost 10 cents sharp, making it a “[[EDO#Non-integer EDO\|non-integer edo]]”.

	~~13.888edo has been voted "monthly tuning" multiple times on the [[Monthly Tunings]] Facebook group, owing to its close approximations of many harmonics [[3/1]], [[7/1]], [[9/1]] and [[11/1]].~~

	~~It is very close to [[Table of zeta-stretched edos\|zeta-stretched 14edo]], a.k.a. [[42zpi]], which has a step size of 86.3¢.~~

	~~==Harmonics==~~
	~~{{harmonics in cet\|86.4\|prec=1}}~~
	~~{{harmonics in cet\|86.4\|prec=1\|start=11}}~~

	~~[[14edo]], [[22edt]], [[32ed5]], [[39ed7]] for comparison:~~
	~~{{Harmonics in equal\|14\|intervals=integer\|prec=1\|collapsed=1}}~~
	~~{{Harmonics in equal\|22\|3\|1\|intervals=integer\|prec=1\|collapsed=1}}~~
	~~{{Harmonics in equal\|32\|5\|1\|intervals=integer\|prec=1\|collapsed=1}}~~
	~~{{Harmonics in equal\|39\|7\|1\|intervals=integer\|prec=1\|collapsed=1}}~~

	~~==Scala file==~~
	~~Tuning file for anything that supports [[Scala]]. Made with [[Scale Workshop]].~~
	~~<pre>~~
	~~! 13pt888edo.scl~~
	!
	~~13.888 equal divisions of the octave~~
	14
	!
	~~86.406~~
	~~172.812~~
	~~259.218~~
	~~345.624~~
	~~432.03~~
	~~518.436~~
	~~604.842~~
	~~691.248~~
	~~777.654~~
	~~864.06~~
	~~950.466~~
	~~1036.872~~
	~~1123.278~~
	~~1209.684~~
	~~</pre>~~

	~~== Music ==~~
	* ''[https://soundcloud.com/morphosyntax-1/the-butterflys-dream The Butterfly’s Dream]'' - [[Herman Miller]] (2022)

	~~== See also ==~~
	* [[Equal-step tuning]]

	~~[[Category:14-tone scales]]~~
	~~[[Category:Tempered scales]]~~
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]
	~~[[Category:Pages with Scala files]]~~

Lériendil: Text replacement - "Category:Tempered_scales↵Category:Pages with mostly numerical content" to "Category:Tempered scales Category:Pages with mostly numerical content"

2025-06-24T02:56:32Z

Text replacement - "Category:Tempered_scales↵Category:Pages with mostly numerical content" to "Category:Tempered scales Category:Pages with mostly numerical content"

← Older revision		Revision as of 02:56, 24 June 2025
Line 50:		Line 50:

	[[Category:14-tone scales]]		[[Category:14-tone scales]]
	[[Category:~~Tempered_scales~~]]		[[Category:Tempered scales]]
	[[Category:Pages with mostly numerical content]]		[[Category:Pages with mostly numerical content]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

Lériendil: Text replacement - "Category:Tempered scales↵Category:Pages with mostly numerical content" to "Category:Tempered_scales Category:Pages with mostly numerical content"

2025-06-24T02:17:27Z

Text replacement - "Category:Tempered scales↵Category:Pages with mostly numerical content" to "Category:Tempered_scales Category:Pages with mostly numerical content"

← Older revision		Revision as of 02:17, 24 June 2025
Line 50:		Line 50:

	[[Category:14-tone scales]]		[[Category:14-tone scales]]
	[[Category:~~Tempered scales~~]]		[[Category:Tempered_scales]]
	[[Category:Pages with mostly numerical content]]		[[Category:Pages with mostly numerical content]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

Lériendil: Text replacement - "Category:Tempered scales" to "Category:Tempered scales Category:Pages with mostly numerical content"

2025-06-24T00:24:11Z

Text replacement - "Category:Tempered scales" to "Category:Tempered scales Category:Pages with mostly numerical content"

← Older revision		Revision as of 00:24, 24 June 2025
Line 51:		Line 51:
	[[Category:14-tone scales]]		[[Category:14-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

Hkm at 00:01, 24 June 2025

2025-06-24T00:01:08Z

← Older revision		Revision as of 00:01, 24 June 2025
Line 1:		Line 1:
	{{Infobox ET\|1ed17069/16238}}		{{Infobox ET\|1ed17069/16238}}
	[[delete\|should be merged with 22edt]]		{{delete\|should be merged with 22edt or 42zpi}}
	'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].		'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].

Hkm at 00:00, 24 June 2025

2025-06-24T00:00:25Z

← Older revision		Revision as of 00:00, 24 June 2025
Line 1:		Line 1:
	{{Infobox ET\|1ed17069/16238}}		{{Infobox ET\|1ed17069/16238}}
			[[delete\|should be merged with 22edt]]
	'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].		'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].

BudjarnLambeth at 07:31, 14 December 2024

2024-12-14T07:31:16Z

← Older revision		Revision as of 07:31, 14 December 2024
Line 4:		Line 4:
	Because 13.888 is not actually an integer, the scale that results does not actually include [[2/1]], so it is not a ''true'' [[edo]]. Instead it has a [[pseudo-octave]] almost 10 cents sharp, making it a “[[EDO#Non-integer EDO\|non-integer edo]]”.		Because 13.888 is not actually an integer, the scale that results does not actually include [[2/1]], so it is not a ''true'' [[edo]]. Instead it has a [[pseudo-octave]] almost 10 cents sharp, making it a “[[EDO#Non-integer EDO\|non-integer edo]]”.

	13.888edo has been voted "monthly tuning" multiple times on the [[Monthly Tunings]] Facebook group, owing to its close approximations of many harmonics [[3/1]], [[7/1]] and [[11/1]].		13.888edo has been voted "monthly tuning" multiple times on the [[Monthly Tunings]] Facebook group, owing to its close approximations of many harmonics [[3/1]], [[7/1]], [[9/1]] and [[11/1]].

	It is very close to [[Table of zeta-stretched edos\|zeta-stretched 14edo]], a.k.a. [[42zpi]], which has a step size of 86.3¢.		It is very close to [[Table of zeta-stretched edos\|zeta-stretched 14edo]], a.k.a. [[42zpi]], which has a step size of 86.3¢.

BudjarnLambeth at 07:30, 14 December 2024

2024-12-14T07:30:05Z

← Older revision		Revision as of 07:30, 14 December 2024
Line 4:		Line 4:
	Because 13.888 is not actually an integer, the scale that results does not actually include [[2/1]], so it is not a ''true'' [[edo]]. Instead it has a [[pseudo-octave]] almost 10 cents sharp, making it a “[[EDO#Non-integer EDO\|non-integer edo]]”.		Because 13.888 is not actually an integer, the scale that results does not actually include [[2/1]], so it is not a ''true'' [[edo]]. Instead it has a [[pseudo-octave]] almost 10 cents sharp, making it a “[[EDO#Non-integer EDO\|non-integer edo]]”.

	13.888edo has been voted "monthly tuning" multiple times on the [[Monthly Tunings]] Facebook group, owing to its ~~unexpectedly~~ close approximations of many harmonics~~, but especially~~ [[3/1]], [[7/1]] and [[11/1]].		13.888edo has been voted "monthly tuning" multiple times on the [[Monthly Tunings]] Facebook group, owing to its close approximations of many harmonics [[3/1]], [[7/1]] and [[11/1]].

	It is very close to [[Table of zeta-stretched edos\|zeta-stretched 14edo]], a.k.a. [[42zpi]], which has a step size of 86.3¢.		It is very close to [[Table of zeta-stretched edos\|zeta-stretched 14edo]], a.k.a. [[42zpi]], which has a step size of 86.3¢.

BudjarnLambeth: Add link

2024-12-14T07:29:36Z

Add link

← Older revision		Revision as of 07:29, 14 December 2024
Line 2:		Line 2:
	'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].		'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].

	Because 13.888 is not actually an integer, the scale that results does not actually include [[2/1]], so it is not a ''true'' [[edo]]. Instead it has a [[pseudo-octave]] almost 10 cents sharp.		Because 13.888 is not actually an integer, the scale that results does not actually include [[2/1]], so it is not a ''true'' [[edo]]. Instead it has a [[pseudo-octave]] almost 10 cents sharp, making it a “[[EDO#Non-integer EDO\|non-integer edo]]”.

	13.888edo has been voted "monthly tuning" multiple times on the [[Monthly Tunings]] Facebook group, owing to its unexpectedly close approximations of many harmonics, but especially [[3/1]], [[7/1]] and [[11/1]].		13.888edo has been voted "monthly tuning" multiple times on the [[Monthly Tunings]] Facebook group, owing to its unexpectedly close approximations of many harmonics, but especially [[3/1]], [[7/1]] and [[11/1]].

← Older revision		Revision as of 00:01, 24 June 2025
Line 1:		Line 1:
	{{Infobox ET\|1ed17069/16238}}		{{Infobox ET\|1ed17069/16238}}
	[[delete\|should be merged with 22edt]]		{{delete\|should be merged with 22edt or 42zpi}}
	'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].		'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].

← Older revision		Revision as of 00:00, 24 June 2025
Line 1:		Line 1:
	{{Infobox ET\|1ed17069/16238}}		{{Infobox ET\|1ed17069/16238}}
			[[delete\|should be merged with 22edt]]
	'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].		'''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning\|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].