106ed6 - Revision history

FloraC: /* Theory */ expand

2025-06-20T13:15:08Z

Theory: expand

← Older revision		Revision as of 13:15, 20 June 2025
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	== Theory ==		== Theory ==
	106ed6 is very nearly identical to [[41edo]], but with the ~~6/1~~ rather than the [[2/1]] being just. The octave is about 0.19 cents compressed. Like 41edo, 106ed6 is consistent to the [[integer limit\|16-integer-limit]].		106ed6 is very nearly identical to [[41edo]], but with the 6th harmonic rather than the [[2/1\|octave]] being just. The octave is about 0.187 cents compressed. Like 41edo, 106ed6 is [[consistent]] to the [[integer limit\|16-integer-limit]], and in comparison, it slightly improves the intonation of primes 3, [[11/1\|11]], [[13/1\|13]], and [[17/1\|17]] at the expense of barely less accurate intonations of 2, [[5/1\|5]], [[7/1\|7]], and [[19/1\|19]], commending itself as a suitable tuning for [[13-limit\|13-]] and [[17-limit]]-focused harmonies.

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

ArrowHead294 at 12:50, 19 June 2025

2025-06-19T12:50:42Z

← Older revision		Revision as of 12:50, 19 June 2025
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	* [[65edt]] – relative edt		* [[65edt]] – relative edt
	* [[95ed5]] – relative ed5		* [[95ed5]] – relative ed5
			* [[147ed12]] – relative ed12
			* [[361ed448]] – close to the zeta-optimized tuning for 41edo

			[[Category:41edo]]

FloraC: /* Theory */ +subsets and supersets

2025-03-20T16:31:47Z

Theory: +subsets and supersets

← Older revision		Revision as of 16:31, 20 March 2025
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	{{Harmonics in equal\|106\|6\|1\|intervals=integer}}		{{Harmonics in equal\|106\|6\|1\|intervals=integer}}
	{{Harmonics in equal\|106\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 106ed6 (continued)}}		{{Harmonics in equal\|106\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 106ed6 (continued)}}

			=== Subsets and supersets ===
			Since 106 factors into primes as {{nowrap\| 2 × 53 }}, 106ed6 contains [[2ed6]] and [[53ed6]] as subset ed6's.

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

FloraC: Cleanup

2025-03-20T16:30:45Z

Cleanup

← Older revision		Revision as of 16:30, 20 March 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[ed6\|Division of the sixth harmonic]] into 106 equal parts''' (106ED6) is related to [[41edo\|41 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the 16-[[integer-limit]].		{{ED intro}}

	~~Lookalikes: [[24edf]],~~ [[41edo]], [[~~65edt~~]], [[~~95ed5~~]]		== Theory ==
			106ed6 is very nearly identical to [[41edo]], but with the 6/1 rather than the [[2/1]] being just. The octave is about 0.19 cents compressed. Like 41edo, 106ed6 is consistent to the [[integer limit\|16-integer-limit]].

	== Harmonics ==		=== Harmonics ===
	{{Harmonics in equal\|106\|6\|1\|intervals=~~prime~~}}		{{Harmonics in equal\|106\|6\|1\|intervals=integer}}
	{{Harmonics in equal\|106\|6\|1\|intervals=~~prime~~\|~~collapsed~~=1\|start=12}}		{{Harmonics in equal\|106\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 106ed6 (continued)}}

			== See also ==
	~~{{stub}}~~		* [[24edf]] – relative edf
	[[~~Category:Edonoi~~]]		* [[41edo]] – relative edo
			* [[65edt]] – relative edt
			* [[95ed5]] – relative ed5

BudjarnLambeth: Misleading link, add harmonics, stub

2024-12-22T04:36:35Z

Misleading link, add harmonics, stub

← Older revision		Revision as of 04:36, 22 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[ed6\|Division of the sixth harmonic]] into 106 equal parts''' (106ED6) is related to [[41edo\|41 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the [[~~15-odd-limit\|16-~~integer-limit]].		'''[[ed6\|Division of the sixth harmonic]] into 106 equal parts''' (106ED6) is related to [[41edo\|41 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the 16-[[integer-limit]].

	Lookalikes: [[24edf]], [[41edo]], [[65edt]], [[95ed5]]		Lookalikes: [[24edf]], [[41edo]], [[65edt]], [[95ed5]]

			== Harmonics ==
			{{Harmonics in equal\|106\|6\|1\|intervals=prime}}
			{{Harmonics in equal\|106\|6\|1\|intervals=prime\|collapsed=1\|start=12}}


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

ArrowHead294 at 17:46, 7 September 2024

2024-09-07T17:46:15Z

← Older revision		Revision as of 17:46, 7 September 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''[[~~ED6~~\|Division of the sixth harmonic]] into 106 equal parts''' (106ED6) is related to [[41edo\|41 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the [[15-odd-limit\|16-integer-limit]].		'''[[ed6\|Division of the sixth harmonic]] into 106 equal parts''' (106ED6) is related to [[41edo\|41 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the [[15-odd-limit\|16-integer-limit]].

	Lookalikes: [[24edf]], [[41edo]], [[65edt]], [[95ed5]]		Lookalikes: [[24edf]], [[41edo]], [[65edt]], [[95ed5]]

	[[Category:Edonoi]]		[[Category:Edonoi]]

ArrowHead294: Make page

2024-09-07T17:46:04Z

Make page

New page

{{Infobox ET}}
'''[[ED6|Division of the sixth harmonic]] into 106 equal parts''' (106ED6) is related to [[41edo|41 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the [[15-odd-limit|16-integer-limit]].

Lookalikes: [[24edf]], [[41edo]], [[65edt]], [[95ed5]]

[[Category:Edonoi]]