38edt - Revision history

ArrowHead294: /* See also */

2025-06-25T19:18:17Z

2025-06-18T18:09:54Z

2025-06-18T13:44:50Z

2025-05-27T10:05:58Z

Theory: related -> closely related

← Older revision		Revision as of 10:05, 27 May 2025
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	== Theory ==		== Theory ==
	38edt is related to [[24edo]] (quarter-tone tuning), but with the perfect twelfth rather than the [[2/1\|octave]] being just, which stretches the octave by about 1.23 cents. Like 24edo, 38edt is [[consistent]] to the [[integer limit\|6-integer-limit]].		38edt is closely related to [[24edo]] (quarter-tone tuning), but with the perfect twelfth rather than the [[2/1\|octave]] being just, which stretches the octave by about 1.23 cents. Like 24edo, 38edt is [[consistent]] to the [[integer limit\|6-integer-limit]].

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

2025-05-27T10:04:52Z

Cleanup & expand

← Older revision		Revision as of 10:04, 27 May 2025
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	{{ED intro}}		{{ED intro}}

	~~38EDT~~ is related to [[24edo]] (quarter-tone tuning), but with the ~~3/1~~ rather than the 2/1 being just, which stretches the octave by about 1.~~2347~~ cents. It is consistent to the 6-[[integer-limit]].		== Theory ==
			38edt is related to [[24edo]] (quarter-tone tuning), but with the perfect twelfth rather than the [[2/1\|octave]] being just, which stretches the octave by about 1.23 cents. Like 24edo, 38edt is [[consistent]] to the [[integer limit\|6-integer-limit]].

	~~Lookalikes: [[14edf]], [[24edo]], [[56ed5]], [[62ed6]]~~		=== Harmonics ===
			{{Harmonics in equal\|38\|3\|1\|intervals=integer\|columns=11}}
			{{Harmonics in equal\|38\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 38edt (continued)}}

	== ~~Harmonics~~ ==		=== Subsets and supersets ===
	~~{{Harmonics in equal~~		Since 38 factors into primes as {{nowrap\| 2 × 19 }}, 38edt contains subset edts [[2edt]] and [[19edt]].
	~~\| steps = 38~~
	~~\| num~~ = 3
	~~\| denom~~ = 1
	}}
	{{~~Harmonics in equal~~
	\| ~~steps = 38~~
	~~\| num = 3~~
	~~\| denom = 1~~
	~~\| start = 12~~
	~~\| collapsed = 1~~
	}}

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

			== See also ==
	~~{{stub}}~~		* [[14edf]] – relative edf
	[[~~Category:Edt~~]]		* [[24edo]] – relative edo
	[[~~Category:Edonoi~~]]		* [[56ed5]] – relative ed5
			* [[62ed6]] – relative ed6
			* [[86ed12]] – relative ed12

2025-01-21T17:04:09Z

← Older revision		Revision as of 17:04, 21 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Edt\|Division of the third harmonic]] into 38 equal parts''' (38EDT) is related to [[24edo\|24 edo]] (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 50.0514 cents. It is consistent to the 6-[[integer-limit]].		{{ED intro}}

	Lookalikes: [[~~24edo~~]], [[~~56ed5~~]], [[~~62ed6~~]], [[~~14edf~~]]		38EDT is related to [[24edo]] (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just, which stretches the octave by about 1.2347 cents. It is consistent to the 6-[[integer-limit]].

			Lookalikes: [[14edf]], [[24edo]], [[56ed5]], [[62ed6]]

	== Harmonics ==		== Harmonics ==

2024-12-21T03:47:27Z

Fix misleading link, stub

← Older revision		Revision as of 03:47, 21 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Edt\|Division of the third harmonic]] into 38 equal parts''' (38EDT) is related to [[24edo\|24 edo]] (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 50.0514 cents. It is consistent to the [[~~5-odd-limit\|6-~~integer-limit]].		'''[[Edt\|Division of the third harmonic]] into 38 equal parts''' (38EDT) is related to [[24edo\|24 edo]] (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 50.0514 cents. It is consistent to the 6-[[integer-limit]].

	Lookalikes: [[24edo]], [[56ed5]], [[62ed6]], [[14edf]]		Lookalikes: [[24edo]], [[56ed5]], [[62ed6]], [[14edf]]
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	{{Interval table}}		{{Interval table}}


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

2024-10-02T10:17:13Z

Harmonics, intervals

2024-05-09T14:45:52Z

2022-10-05T19:55:49Z

Infobox ET added

← Older revision		Revision as of 19:55, 5 October 2022
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			{{Infobox ET}}
	'''[[Edt\|Division of the third harmonic]] into 38 equal parts''' (38EDT) is related to [[24edo\|24 edo]] (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 50.0514 cents. It is consistent to the [[5-odd-limit\|6-integer-limit]].		'''[[Edt\|Division of the third harmonic]] into 38 equal parts''' (38EDT) is related to [[24edo\|24 edo]] (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 50.0514 cents. It is consistent to the [[5-odd-limit\|6-integer-limit]].

← Older revision		Revision as of 19:18, 25 June 2025
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	* [[56ed5]] – relative ed5		* [[56ed5]] – relative ed5
	* [[62ed6]] – relative ed6		* [[62ed6]] – relative ed6
			* [[83ed11]] – relative ed11
	* [[86ed12]] – relative ed12		* [[86ed12]] – relative ed12
	* [[198ed304]] – close to the zeta-optimized tuning for 24edo		* [[198ed304]] – close to the zeta-optimized tuning for 24edo

	[[Category:24edo]]		[[Category:24edo]]

← Older revision		Revision as of 18:09, 18 June 2025
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	* [[62ed6]] – relative ed6		* [[62ed6]] – relative ed6
	* [[86ed12]] – relative ed12		* [[86ed12]] – relative ed12
			* [[198ed304]] – close to the zeta-optimized tuning for 24edo

	[[Category:24edo]]		[[Category:24edo]]