49edt - Revision history

Lucius Chiaraviglio: /* Music */ Fix link to go to composer's user page

2025-10-04T20:40:57Z

Music: Fix link to go to composer's user page

← Older revision		Revision as of 20:40, 4 October 2025
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	== Music ==		== Music ==
	; [[Ray Perlner]]		; [[User:Rperlner\|Ray Perlner]]
	* [https://www.youtube.com/watch?v=2DIZlqLS1O8 ''Fugue in 49EDT for Harpsichord Mintaka<nowiki>[7]</nowiki> LLLsLLs "Macro-Lydian"''] (2025)		* [https://www.youtube.com/watch?v=2DIZlqLS1O8 ''Fugue in 49EDT for Harpsichord Mintaka<nowiki>[7]</nowiki> LLLsLLs "Macro-Lydian"''] (2025)

2025-10-04T20:39:25Z

Intervals: Insert Music section after this, starting with Ray Perlner's ''Fugue in 49EDT for Harpsichord Mintaka[7] LLLsLLs "Macro-Lydian"'' (2025)

← Older revision		Revision as of 20:39, 4 October 2025
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	== Intervals ==		== Intervals ==
	{{Interval table}}		{{Interval table}}

			== Music ==
			; [[Ray Perlner]]
			* [https://www.youtube.com/watch?v=2DIZlqLS1O8 ''Fugue in 49EDT for Harpsichord Mintaka<nowiki>[7]</nowiki> LLLsLLs "Macro-Lydian"''] (2025)

	== See also ==		== See also ==

2025-07-16T15:00:44Z

← Older revision		Revision as of 15:00, 16 July 2025
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	* [[80ed6]] – relative ed6		* [[80ed6]] – relative ed6
	* [[87ed7]] – relative ed7		* [[87ed7]] – relative ed7
			* [[107ed11]] – relative ed11
	* [[111ed12]] – relative ed12		* [[111ed12]] – relative ed12
			* [[138ed22]] – relative ed22
	* [[204ed96]] – close to the zeta-optimized tuning for 31edo		* [[204ed96]] – close to the zeta-optimized tuning for 31edo
	* [[39cET]]		* [[39cET]]

	[[Category:31edo]]		[[Category:31edo]]

2025-06-10T13:31:11Z

2025-06-10T13:30:59Z

← Older revision		Revision as of 13:30, 10 June 2025
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	* [[87ed7]] – relative ed7		* [[87ed7]] – relative ed7
	* [[111ed12]] – relative ed12		* [[111ed12]] – relative ed12
			* [[204ed96]] – close to the zeta-optimized tuning for 31edo
	* [[39cET]]		* [[39cET]]

2025-03-24T12:01:08Z

2025-03-24T11:08:14Z

Theory: note its sharp tendency

← Older revision		Revision as of 11:08, 24 March 2025
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	== Theory ==		== Theory ==
	49edt is related to [[31edo]], but with the 3/1 rather than the [[2/1]] being just, which stretches the octave by about 3.28{{c}}. Like 31edo, 49edt is [[consistent]] through the [[integer limit\|12-integer-limit]].		49edt is related to [[31edo]], but with the 3/1 rather than the [[2/1]] being just, which stretches the octave by about 3.28{{c}}. Like 31edo, 49edt is [[consistent]] through the [[integer limit\|12-integer-limit]], but it has a sharp tendency, with [[prime harmonic]]s 2, [[5/1\|5]], [[7/1\|7]], and [[11/1\|11]] all tuned sharp.

	=== Harmonics ===		=== Harmonics ===

2025-03-24T11:06:23Z

Theory: +subsets and supersets

← Older revision		Revision as of 11:06, 24 March 2025
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	{{Harmonics in equal\|49\|3\|1\|intervals=integer}}		{{Harmonics in equal\|49\|3\|1\|intervals=integer}}
	{{Harmonics in equal\|49\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 49edt (continued)}}		{{Harmonics in equal\|49\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 49edt (continued)}}

			=== Subsets and supersets ===
			Since 49 factors into primes as 7<sup>2</sup>, 49edt contains [[7edt]] as its only nontrivial subset edt.

	== Intervals ==		== Intervals ==

2025-03-24T11:05:01Z

Cleanup

← Older revision		Revision as of 11:05, 24 March 2025
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	{{ED intro}}		{{ED intro}}

	~~49EDT~~ is related to [[31edo]], but with the 3/1 rather than the 2/1 being just, which stretches the octave by about 3.~~2777~~{{c}}. It is consistent through the 12-[[integer limit]].		== Theory ==
			49edt is related to [[31edo]], but with the 3/1 rather than the [[2/1]] being just, which stretches the octave by about 3.28{{c}}. Like 31edo, 49edt is [[consistent]] through the [[integer limit\|12-integer-limit]].

	~~Lookalikes: [[18edf]], [[31edo]], [[39cET]], [[80ed6]]~~		=== Harmonics ===
			{{Harmonics in equal\|49\|3\|1\|intervals=integer}}
			{{Harmonics in equal\|49\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 49edt (continued)}}

	== Intervals ==		== Intervals ==
	{{Interval table}}		{{Interval table}}

	== ~~Harmonics~~ ==		== See also ==
	~~{{Harmonics in equal~~		* [[18edf]] – relative edf
	~~\| steps = 49~~		* [[31edo]] – relative edo
	~~\| num = 3~~		* [[80ed6]] – relative ed6
	~~\| denom = 1~~		* [[39cET]]
	~~\| intervals = integer~~
	}}
	~~{{Harmonics in equal~~
	~~\| steps = 49~~
	~~\| num = 3~~
	~~\| denom = 1~~
	~~\| start = 12~~
	~~\| collapsed = 1~~
	~~\| intervals = integer~~
	}}


	~~{{stub}}~~
	[[~~Category:Edonoi~~]]

2025-01-21T16:45:09Z

← Older revision		Revision as of 16:45, 21 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''[[Edt\|Division of the third harmonic]] into 49 equal parts''' (~~49EDT) is related to [[31edo~~\|31 edo~~]], but with the 3/1 rather than the 2/1 being just~~. The~~ octave is about 3.2777 ~~cents stretched and the step size about 38.8154 cents~~. It is consistent through the 12-[[integer limit]].		{{ED intro}}

			49EDT is related to [[31edo]], but with the 3/1 rather than the 2/1 being just, which stretches the octave by about 3.2777{{c}}. It is consistent through the 12-[[integer limit]].

	Lookalikes: [[18edf]], [[31edo]], [[39cET]], [[80ed6]]		Lookalikes: [[18edf]], [[31edo]], [[39cET]], [[80ed6]]

← Older revision		Revision as of 13:31, 10 June 2025
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	* [[204ed96]] – close to the zeta-optimized tuning for 31edo		* [[204ed96]] – close to the zeta-optimized tuning for 31edo
	* [[39cET]]		* [[39cET]]

			[[Category:31edo]]