86ed12 - Revision history

ArrowHead294: /* See also */

2025-06-25T19:18:49Z

ArrowHead294: /* See also */

2025-06-18T18:10:29Z

FloraC: Cleanup & expand

2025-05-27T10:02:19Z

Cleanup & expand

← Older revision		Revision as of 10:02, 27 May 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed12\|Division of the twelfth harmonic]] into 86 equal parts''' (86ED12) is very nearly identical to [[24edo\|24 EDO]] (quarter-tone tuning), but with the [[12/1]] rather than the 2/1 being just. The octave is about 0.55 [[cent]]s stretched and the step size is about 50.02 cents.		{{ED intro}}

	==~~Harmonics~~==		== Theory ==
	~~{{Harmonics in equal\|86\|12\|~~1\|~~prec=2\|columns=15}}~~		86ed12 is very nearly identical to [[24edo]] (quarter-tone tuning), but with the 12th harmonic rather than the [[2/1\|octave]] being just. The octave is about 0.546 [[cent]]s stretched.

	[[~~Category:Edonoi~~]]		=== Harmonics ===
			{{Harmonics in equal\|86\|12\|1\|intervals=integer\|columns=11}}
			{{Harmonics in equal\|86\|12\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 86ed12 (continued)}}

			=== Subsets and supersets ===
			Since 86 factors into primes as {{nowrap\| 2 × 43 }}, 86ed12 contains subset ed12's [[2ed12]] and [[43ed12]].

			== See also ==
			* [[14edf]] – relative edf
			* [[24edo]] – relative edo
			* [[38edt]] – relative edt
			* [[56ed5]] – relative ed5
			* [[62ed6]] – relative ed6

ArrowHead294: Created page with

2024-05-09T17:09:55Z

Created page with

New page

{{Infobox ET}}
'''[[Ed12|Division of the twelfth harmonic]] into 86 equal parts''' (86ED12) is very nearly identical to [[24edo|24 EDO]] (quarter-tone tuning), but with the [[12/1]] rather than the 2/1 being just. The octave is about 0.55 [[cent]]s stretched and the step size is about 50.02 cents.

==Harmonics==
{{Harmonics in equal|86|12|1|prec=2|columns=15}}

[[Category:Edonoi]]

← 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
	* [[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
Line 18:		Line 18:
	* [[56ed5]] – relative ed5		* [[56ed5]] – relative ed5
	* [[62ed6]] – relative ed6		* [[62ed6]] – relative ed6
			* [[198ed304]] – close to the zeta-optimized tuning for 24edo

			[[Category:24edo]]