1759edo - 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"

2026-03-13T13:31:45Z

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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	\| [[Vavoom]]		\| [[Vavoom]]
	\|}		\|}
	<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 ==

Fredg999: Markup

2025-07-28T19:00:07Z

Markup

← Older revision		Revision as of 19:00, 28 July 2025
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	== Theory ==		== Theory ==
	1759edo is [[consistent]] to the [[23-odd-limit]], [[tempering out]] [[3025/3024]], [[2500/2499]], [[5985/5984]], [[4225/4224]], [[6175/6174]], 3520/3519, 14875/14872 and [[256000/255879]]. It [[support]]s [[etampesic]]. [[Essentially tempered ~~chords~~]] in 1759et include [[vicetertismic chords]].		1759edo is [[consistent]] to the [[23-odd-limit]], [[tempering out]] [[3025/3024]], [[2500/2499]], [[5985/5984]], [[4225/4224]], [[6175/6174]], 3520/3519, 14875/14872 and [[256000/255879]]. It [[support]]s [[etampesic]]. [[Essentially tempered chord]]s in 1759et include [[vicetertismic chords]].

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

Francium: /* Music */ +music

2025-03-29T14:50:58Z

Music: +music

← Older revision		Revision as of 14:50, 29 March 2025
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	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Regret" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/2pDNJUQzjQaPJcl1cwLJco Spotify] \| [https://francium223.bandcamp.com/track/regret Bandcamp] \| [https://www.youtube.com/watch?v=mB-qWsSfn3g YouTube] – ~~etampesic~~ in 1759edo		* "Regret" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/2pDNJUQzjQaPJcl1cwLJco Spotify] \| [https://francium223.bandcamp.com/track/regret Bandcamp] \| [https://www.youtube.com/watch?v=mB-qWsSfn3g YouTube] – in Etampesic, 1759edo tuning
	* ''1759'' (2025) – [https://open.spotify.com/album/3zA7ZVP09WlBw4WRjpjAZZ Spotify] \| [https://francium223.bandcamp.com/album/1759 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRYDHsUEkhpthaxFB4xoK9Tc YouTube] – 4-piece EP in 1759edo		* ''1759'' (2025) – [https://open.spotify.com/album/3zA7ZVP09WlBw4WRjpjAZZ Spotify] \| [https://francium223.bandcamp.com/album/1759 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRYDHsUEkhpthaxFB4xoK9Tc YouTube] – 4-piece EP in 1759edo
			* "Chupacara Smith" from ''Don't Give Your Kids These Names!'' (2025) − [https://open.spotify.com/track/4Wr1wq3jAAuUdlEqCtrXI1 Spotify] \| [https://francium223.bandcamp.com/track/chupacara-smith Bandcamp] \| [https://www.youtube.com/watch?v=diKcFA0m21A YouTube] − in Smithsonianic, 1759edo tuning

Francium: changed EDO intro to ED intro

2025-02-21T06:10:43Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:10, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1759~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 18:57, 15 January 2025

2025-01-15T18:57:48Z

← Older revision		Revision as of 18:57, 15 January 2025
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	== Theory ==		== Theory ==
	1759edo is [[consistent]] to the [[23-odd-limit]], [[~~temper out\|~~tempering out]] [[3025/3024]], [[2500/2499]], [[5985/5984]], [[4225/4224]], [[6175/6174]], 3520/3519, 14875/14872 and [[256000/255879]]. It [[support]]s [[etampesic]]. [[Essentially tempered chords]] in 1759et include [[vicetertismic chords]].		1759edo is [[consistent]] to the [[23-odd-limit]], [[tempering out]] [[3025/3024]], [[2500/2499]], [[5985/5984]], [[4225/4224]], [[6175/6174]], 3520/3519, 14875/14872 and [[256000/255879]]. It [[support]]s [[etampesic]]. [[Essentially tempered chords]] in 1759et include [[vicetertismic chords]].

	=== Prime harmonics ===		=== Prime harmonics ===
Line 89:		Line 89:
	\| [[Vavoom]]		\| [[Vavoom]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==

ArrowHead294 at 18:50, 15 January 2025

2025-01-15T18:50:28Z

← Older revision		Revision as of 18:50, 15 January 2025
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	\| {{monzo\|2788 -1759}}		\| {{monzo\|2788 -1759}}
	\| {{mapping\|1759 2788}}		\| {{mapping\|1759 2788}}
	\| ~~−0~~.0110		\| −0.0110
	\| 0.0110		\| 0.0110
	\| 1.61		\| 1.61

Francium: /* Music */ +music

2025-01-05T12:07:26Z

Music: +music

← Older revision		Revision as of 12:07, 5 January 2025
Line 94:		Line 94:
	; [[Francium]]		; [[Francium]]
	* "Regret" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/2pDNJUQzjQaPJcl1cwLJco Spotify] \| [https://francium223.bandcamp.com/track/regret Bandcamp] \| [https://www.youtube.com/watch?v=mB-qWsSfn3g YouTube] – etampesic in 1759edo		* "Regret" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/2pDNJUQzjQaPJcl1cwLJco Spotify] \| [https://francium223.bandcamp.com/track/regret Bandcamp] \| [https://www.youtube.com/watch?v=mB-qWsSfn3g YouTube] – etampesic in 1759edo
			* ''1759'' (2025) – [https://open.spotify.com/album/3zA7ZVP09WlBw4WRjpjAZZ Spotify] \| [https://francium223.bandcamp.com/album/1759 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRYDHsUEkhpthaxFB4xoK9Tc YouTube] – 4-piece EP in 1759edo

Francium: +music

2024-11-30T12:56:08Z

+music

← Older revision		Revision as of 12:56, 30 November 2024
Line 90:		Line 90:
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

			== Music ==
			; [[Francium]]
			* "Regret" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/2pDNJUQzjQaPJcl1cwLJco Spotify] \| [https://francium223.bandcamp.com/track/regret Bandcamp] \| [https://www.youtube.com/watch?v=mB-qWsSfn3g YouTube] – etampesic in 1759edo

ArrowHead294: Partial undo

2024-11-16T13:05:36Z

Partial undo

← Older revision		Revision as of 13:05, 16 November 2024
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	== Regular temperament properties ==		== Regular temperament properties ==
	{~~{comma basis begin}}~~		{\| class="wikitable center-4 center-5 center-6"
			\|-
			! rowspan="2" \| [[Subgroup]]
			! rowspan="2" \| [[Comma list]]
			! rowspan="2" \| [[Mapping]]
			! rowspan="2" \| Optimal<br />8ve stretch (¢)
			! colspan="2" \| Tuning error
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
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	\| 0.0315		\| 0.0315
	\| 4.62		\| 4.62
	~~{{comma basis end}~~}		\|}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{{rank-2 ~~begin}}~~		{\| class="wikitable center-all left-5"
			\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
			! Periods<br />per 8ve
			! Generator*
			! Cents*
			! Associated<br />ratio*
			! Temperaments
	\|-		\|-
	\| 1		\| 1
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	\| 16/15		\| 16/15
	\| [[Vavoom]]		\| [[Vavoom]]
	~~{{rank-2 end}~~}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

ArrowHead294 at 02:38, 16 November 2024

2024-11-16T02:38:52Z

← Older revision		Revision as of 02:38, 16 November 2024
Line 12:		Line 12:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~\| class="wikitable center-4 center-5 center-6"~~		{{comma basis begin}}
	~~! 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		\| 2.3
	\| {{monzo\|2788 -1759}}		\| {{monzo\|2788 -1759}}
	\| {{mapping\|1759 2788}}		\| {{mapping\|1759 2788}}
	\| -0.0110		\| −0.0110
	\| 0.0110		\| 0.0110
	\| 1.61		\| 1.61
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	\| 0.0315		\| 0.0315
	\| 4.62		\| 4.62
	\|}		{{comma basis end}}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all left-5"~~		{{rank-2 begin}}
	~~\|+Table of~~ rank-2 ~~temperaments by generator~~
	~~! Periods<br>per 8ve~~
	! Generator*
	! Cents*
	! Associated<br>Ratio*
	~~! Temperaments~~
	\|-		\|-
	\| 1		\| 1
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	\| 16/15		\| 16/15
	\| [[Vavoom]]		\| [[Vavoom]]
	\|}		{{rank-2 end}}
			{{orf}}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~