62ed6 - Revision history

ArrowHead294: /* See also */

2025-06-25T19:18:39Z

2025-06-18T18:10:17Z

2025-05-27T10:05:40Z

Theory: related -> nearly identical

← Older revision		Revision as of 10:05, 27 May 2025
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	== Theory ==		== Theory ==
	62ed6 is ~~related~~ to [[24edo]] (quarter-tone tuning), but with the 6th harmonic rather than the [[2/1\|octave]] being just, which stretches the octave by about 0.757 cents. Like 24edo, 62ed6 is [[consistent]] to the [[integer limit\|6-integer-limit]].		62ed6 is nearly identical to [[24edo]] (quarter-tone tuning), but with the 6th harmonic rather than the [[2/1\|octave]] being just, which stretches the octave by about 0.757 cents. Like 24edo, 62ed6 is [[consistent]] to the [[integer limit\|6-integer-limit]].

	=== Harmonics ===		=== Harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 62 factors into primes as {{nowrap\| 2 × 31}}, 62ed6 contains subset ed6's [[2ed6]] and [[31ed6]].		Since 62 factors into primes as {{nowrap\| 2 × 31 }}, 62ed6 contains subset ed6's [[2ed6]] and [[31ed6]].

	== Intervals ==		== Intervals ==

2025-05-27T09:58:34Z

Theory: +subsets and supersets

← Older revision		Revision as of 09:58, 27 May 2025
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	{{Harmonics in equal\|62\|6\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|62\|6\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|62\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 62ed6 (continued)}}		{{Harmonics in equal\|62\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 62ed6 (continued)}}

			=== Subsets and supersets ===
			Since 62 factors into primes as {{nowrap\| 2 × 31}}, 62ed6 contains subset ed6's [[2ed6]] and [[31ed6]].

	== Intervals ==		== Intervals ==

2025-05-27T09:57:29Z

Cleanup

← Older revision		Revision as of 09:57, 27 May 2025
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	{{ED intro}}		{{ED intro}}

	~~62ED6~~ is related to [[24edo]] (quarter-tone tuning), but with the ~~6/1~~ rather than the 2/1 being just, which stretches the octave by about 0.76 cents. It is consistent to the 6-[[integer-limit]].		== Theory ==
			62ed6 is related to [[24edo]] (quarter-tone tuning), but with the 6th harmonic rather than the [[2/1\|octave]] being just, which stretches the octave by about 0.757 cents. Like 24edo, 62ed6 is [[consistent]] to the [[integer limit\|6-integer-limit]].

	~~Lookalikes: [[14edf]], [[24edo]], [[38edt]], [[56ed5]]~~		=== Harmonics ===
			{{Harmonics in equal\|62\|6\|1\|intervals=integer\|columns=11}}
			{{Harmonics in equal\|62\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 62ed6 (continued)}}

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

	== ~~Harmonics~~ ==		== See also ==
	~~{{Harmonics in equal~~		* [[14edf]] – relative edf
	~~\| steps = 62~~		* [[24edo]] – relative edo
	~~\| num = 6~~		* [[38edt]] – relative edt
	~~\| denom = 1~~		* [[56ed5]] – relative ed5
	}}		* [[86ed12]] – relative ed12
	~~{{Harmonics in equal~~
	~~\| steps = 62~~
	~~\| num = 6~~
	~~\| denom = 1~~
	~~\| start = 12~~
	~~\| collapsed = 1~~
	}}

	[[~~Category:Edonoi~~]]


	~~{{stub}}~~

2025-01-21T17:05:01Z

← Older revision		Revision as of 17:05, 21 January 2025
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	62ED6 is related to [[24edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just, which stretches the octave by about 0.76 cents. It is consistent to the 6-[[integer-limit]].		62ED6 is related to [[24edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just, which stretches the octave by about 0.76 cents. It is consistent to the 6-[[integer-limit]].

	Lookalikes: [[14edf]], [[24edo]], [[~~56ed5~~]], [[~~62ed6~~]]		Lookalikes: [[14edf]], [[24edo]], [[38edt]], [[56ed5]]

	== Intervals ==		== Intervals ==

2025-01-21T17:04:50Z

← Older revision		Revision as of 17:04, 21 January 2025
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	62ED6 is related to [[24edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just, which stretches the octave by about 0.76 cents. It is consistent to the 6-[[integer-limit]].		62ED6 is related to [[24edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just, which stretches the octave by about 0.76 cents. It is consistent to the 6-[[integer-limit]].

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

	== Intervals ==		== Intervals ==

2025-01-21T17:04:36Z

← Older revision		Revision as of 17:04, 21 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''[[Ed6\|Division of the sixth harmonic]] into 62 equal parts''' (~~62ED6) is related to [[24edo~~\|24 edo~~]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just~~. The~~ octave is about 0.76 ~~cents stretched and the step size is about 50.03~~ cents. It is consistent to the 6-[[integer-limit]].		{{ED intro}}

			62ED6 is related to [[24edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just, which stretches the octave by about 0.76 cents. It is consistent to the 6-[[integer-limit]].

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

2024-12-22T04:31:59Z

Fix misleading link, mark stub

← Older revision		Revision as of 04:31, 22 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed6\|Division of the sixth harmonic]] into 62 equal parts''' (62ED6) is related to [[24edo\|24 edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just. The octave is about 0.76 cents stretched and the step size is about 50.03 cents. It is consistent to the [[~~5-odd-limit\|6-~~integer-limit]].		'''[[Ed6\|Division of the sixth harmonic]] into 62 equal parts''' (62ED6) is related to [[24edo\|24 edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just. The octave is about 0.76 cents stretched and the step size is about 50.03 cents. It is consistent to the 6-[[integer-limit]].

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


			{{stub}}

2024-11-30T02:03:07Z

Intervals harmonics

@@ Line 4: / Line 4: @@
 Lookalikes: [[24edo]], [[56ed5]], [[62ed6]], [[14edf]]
-==Harmonics==
+== Intervals ==
-{{Harmonics in equal|62|6|1|prec=2}}
+{{Interval table}}
 [[Category:Edonoi]]

← Older revision		Revision as of 19:18, 25 June 2025
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	* [[38edt]] – relative edt		* [[38edt]] – relative edt
	* [[56ed5]] – relative ed5		* [[56ed5]] – relative ed5
			* [[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 18:10, 18 June 2025
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	* [[56ed5]] – relative ed5		* [[56ed5]] – relative ed5
	* [[86ed12]] – relative ed12		* [[86ed12]] – relative ed12
			* [[198ed304]] – close to the zeta-optimized tuning for 24edo

			[[Category:24edo]]