8103edo - Revision history

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:31:31Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:31, 13 March 2026
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	\| [[Roentgenium]]		\| [[Roentgenium]]
	\|}		\|}
	<nowiki />* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki />* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==

ArrowHead294 at 23:14, 20 February 2025

2025-02-20T23:14:23Z

← Older revision		Revision as of 23:14, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|8103~~}}		{{ED intro}}
	== Theory ==		== Theory ==
	8103edo is [[consistent]] in the [[21-odd-limit]]. In the 13-limit, it tempers out [[123201/123200]], and in the 17-limit, it tempers out [[12376/12375]].		8103edo is [[consistent]] in the [[21-odd-limit]]. In the 13-limit, it tempers out [[123201/123200]], and in the 17-limit, it tempers out [[12376/12375]].
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	== Regular temperament properties ==		== Regular temperament properties ==

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	\|+Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
	! Periods<br>per 8ve		\|-
	! Generator~~<br>(reduced)~~		! Periods<br />per 8ve
	! Cents~~<br>(reduced)~~		! Generator*
	! Associated<br>ratio		! Cents*
			! Associated<br />ratio*
	! Temperaments		! Temperaments
	\|-		\|-
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	\| [[Roentgenium]]		\| [[Roentgenium]]
	\|}		\|}
			<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==

	* [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]]		* [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]]

	[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->		[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->
	[[Category:Listen]]		[[Category:Listen]]

BudjarnLambeth at 07:10, 9 July 2023

2023-07-09T07:10:37Z

← Older revision		Revision as of 07:10, 9 July 2023
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	~~{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|8103}}		{{EDO intro\|8103}}
	== Theory ==		== Theory ==

BudjarnLambeth at 04:19, 9 July 2023

2023-07-09T04:19:09Z

← Older revision		Revision as of 04:19, 9 July 2023
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	{{Infobox ET}}		{{stub}}{{Infobox ET}}
	{{EDO intro\|8103}}		{{EDO intro\|8103}}
	== Theory ==		== Theory ==

Eliora: /* Theory */

2023-02-15T22:53:14Z

Theory

← Older revision		Revision as of 22:53, 15 February 2023
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	{{EDO intro\|8103}}		{{EDO intro\|8103}}
	== Theory ==		== Theory ==
	8103edo is [[consistent]] in the [[21-odd-limit]].		8103edo is [[consistent]] in the [[21-odd-limit]]. In the 13-limit, it tempers out [[123201/123200]], and in the 17-limit, it tempers out [[12376/12375]].

	It is divisible by 37, and inherits the precise 11th harmonic present in [[37edo]], although the error has accumulated up to 23% at this point.		It is divisible by 37, and inherits the precise 11th harmonic present in [[37edo]], although the error has accumulated up to 23% at this point.

Eliora at 21:22, 14 January 2023

2023-01-14T21:22:27Z

← Older revision		Revision as of 21:22, 14 January 2023
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	[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->		[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->
			[[Category:Listen]]

Fredg999: Corrected relative error on prime 11 (34% was for prime 13) + add comment after category for sort key

2022-12-18T22:32:58Z

Corrected relative error on prime 11 (34% was for prime 13) + add comment after category for sort key

← Older revision		Revision as of 22:32, 18 December 2022
Line 4:		Line 4:
	8103edo is [[consistent]] in the [[21-odd-limit]].		8103edo is [[consistent]] in the [[21-odd-limit]].

	It is divisible by 37, and inherits the precise 11th harmonic present in [[37edo]], although the error has accumulated up to 34% at this point.		It is divisible by 37, and inherits the precise 11th harmonic present in [[37edo]], although the error has accumulated up to 23% at this point.
	=== Prime harmonics ===		=== Prime harmonics ===
	{{harmonics in equal\|8103}}		{{harmonics in equal\|8103}}
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	* [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]]		* [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]]

	[[Category:Equal divisions of the octave\|####]]		[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->

Eliora: roentgenium

2022-12-18T16:23:30Z

roentgenium

@@ Line 7: / Line 7: @@
 === Prime harmonics ===
 {{harmonics in equal|8103}}
 == Music ==

Eliora at 13:50, 17 December 2022

2022-12-17T13:50:17Z

← Older revision		Revision as of 13:50, 17 December 2022
Line 1:		Line 1:
			{{Infobox ET}}
	{{EDO intro\|8103}}		{{EDO intro\|8103}}
			== Theory ==
			8103edo is [[consistent]] in the [[21-odd-limit]].

			It is divisible by 37, and inherits the precise 11th harmonic present in [[37edo]], although the error has accumulated up to 34% at this point.
			=== Prime harmonics ===
			{{harmonics in equal\|8103}}
	== Music ==		== Music ==

	* [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]]		* [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]]

			[[Category:Equal divisions of the octave\|####]]

Eliora: creating new page and adding music

2022-12-17T13:48:00Z

creating new page and adding music

New page

{{EDO intro|8103}}

== Music ==

* [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]]