107ed11 - Revision history

Overthink: Undo revision 230157 by Domin (talk) please give a better reason

2026-05-13T00:11:17Z

Undo revision 230157 by Domin (talk) please give a better reason

← Older revision		Revision as of 00:11, 13 May 2026
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	~~{{delete\|useless gunk}}~~

	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

Domin at 00:06, 13 May 2026

2026-05-13T00:06:02Z

← Older revision		Revision as of 00:06, 13 May 2026
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			{{delete\|useless gunk}}

	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

ArrowHead294: /* See also */

2025-07-16T15:01:35Z

ArrowHead294: /* See also */

2025-07-16T15:00:05Z

ArrowHead294 at 13:59, 21 April 2025

2025-04-21T13:59:59Z

← Older revision		Revision as of 13:59, 21 April 2025
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	== Theory ==		== Theory ==
	107ed11 is related to [[31edo]], but with the 11/1 rather than the [[2/1]] being just. The octave is ~~slightly~~ stretched ~~(about~~ 2.~~7182~~{{c}}, which is almost exactly {{w\|e (mathematical constant)\|''e''}} cents). Like 31edo, 107ed11 is [[consistent]] through the [[integer limit\|12-integer-limit]], but unlike 31edo it has a discrepancy for the 13th harmonic.		107ed11 is related to [[31edo]], but with the 11/1 rather than the [[2/1]] being just. The octave is stretched by 2.718{{c}}, which is interesting in that it is almost exactly {{w\|e (mathematical constant)\|''e''}} cents. Like 31edo, 107ed11 is [[consistent]] through the [[integer limit\|12-integer-limit]], but unlike 31edo it has a discrepancy for the 13th harmonic.

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

ArrowHead294: /* Theory */

2025-04-21T13:21:33Z

Theory

← Older revision		Revision as of 13:21, 21 April 2025
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	== Theory ==		== Theory ==
	107ed11 is related to [[31edo]], but with the 11/1 rather than the [[2/1]] being just. The octave is slightly stretched (about 2.7182{{c}}, which is almost exactly {{w\|e (mathematical constant)\|''e''}} cents). Like 31edo, 107ed11 is [[consistent]] through the [[integer limit\|12-integer-limit]], ~~with~~ a discrepancy for the 13th harmonic.		107ed11 is related to [[31edo]], but with the 11/1 rather than the [[2/1]] being just. The octave is slightly stretched (about 2.7182{{c}}, which is almost exactly {{w\|e (mathematical constant)\|''e''}} cents). Like 31edo, 107ed11 is [[consistent]] through the [[integer limit\|12-integer-limit]], but unlike 31edo it has a discrepancy for the 13th harmonic.

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

ArrowHead294: /* Theory */

2025-04-20T20:21:27Z

Theory

← Older revision		Revision as of 20:21, 20 April 2025
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	== Theory ==		== Theory ==
	107ed11 is related to [[31edo]], but with the 11/1 rather than the [[2/1]] being just. The octave is slightly stretched (about 2.7182{{c}}, which is almost exactly {{w\|e (mathematical constant)\|''e''}} cents). Like 31edo, 107ed11 is [[consistent]] through the [[integer limit\|12-integer-limit]].		107ed11 is related to [[31edo]], but with the 11/1 rather than the [[2/1]] being just. The octave is slightly stretched (about 2.7182{{c}}, which is almost exactly {{w\|e (mathematical constant)\|''e''}} cents). Like 31edo, 107ed11 is [[consistent]] through the [[integer limit\|12-integer-limit]], with a discrepancy for the 13th harmonic.

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

ArrowHead294: /* Theory */ Copied from 87ed7, reword

2025-04-20T20:21:00Z

Theory: Copied from 87ed7, reword

← Older revision		Revision as of 20:21, 20 April 2025
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	== Theory ==		== Theory ==
	107ed11 is related to [[31edo]], but with the 7/1 rather than the [[2/1]] being just. The octave is slightly stretched (about 2.7182{{c}}, which is almost exactly {{w\|e (mathematical constant)\|''e''}} cents). Like 31edo, 107ed11 is [[consistent]] through the [[integer limit\|12-integer-limit]].		107ed11 is related to [[31edo]], but with the 11/1 rather than the [[2/1]] being just. The octave is slightly stretched (about 2.7182{{c}}, which is almost exactly {{w\|e (mathematical constant)\|''e''}} cents). Like 31edo, 107ed11 is [[consistent]] through the [[integer limit\|12-integer-limit]].

	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|87\|7\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|107\|11\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|87\|7\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in ~~87ed7~~ (continued)}}		{{Harmonics in equal\|107\|11\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 107ed11 (continued)}}

	~~=== Subsets and supersets ===~~
	~~Since 87 factors into primes as {{nowrap\| 3 × 29 }}, 87ed7 contains [[3ed7]] and [[29ed7]] as subset ed7's.~~

	== Intervals ==		== Intervals ==

ArrowHead294: Make

2025-04-20T20:20:11Z

Make

New page

{{Infobox ET}}
{{ED intro}}

== Theory ==
107ed11 is related to [[31edo]], but with the 7/1 rather than the [[2/1]] being just. The octave is slightly stretched (about 2.7182{{c}}, which is almost exactly {{w|e (mathematical constant)|''e''}} cents). Like 31edo, 107ed11 is [[consistent]] through the [[integer limit|12-integer-limit]].

=== Harmonics ===
{{Harmonics in equal|87|7|1|intervals=integer|columns=11}}
{{Harmonics in equal|87|7|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 87ed7 (continued)}}

=== Subsets and supersets ===
Since 87 factors into primes as {{nowrap| 3 × 29 }}, 87ed7 contains [[3ed7]] and [[29ed7]] as subset ed7's.

== Intervals ==
{{Interval table}}

== See also ==
* [[18edf]] – relative edf
* [[31edo]] – relative edo
* [[49edt]] – relative edt
* [[72ed5]] – relative ed5
* [[80ed6]] – relative ed6
* [[87ed7]] – relative ed17
* [[111ed12]] – relative ed12
* [[39cET]]

← Older revision		Revision as of 15:01, 16 July 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]]

← Older revision		Revision as of 15:00, 16 July 2025
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	* [[72ed5]] – relative ed5		* [[72ed5]] – relative ed5
	* [[80ed6]] – relative ed6		* [[80ed6]] – relative ed6
	* [[87ed7]] – relative ~~ed17~~		* [[87ed7]] – relative ed7
	* [[111ed12]] – relative ed12		* [[111ed12]] – relative ed12
			* [[138ed22]] – relative ed22
			* [[204ed96]] – close to the zeta-optimized tuning for 31edo
	* [[39cET]]		* [[39cET]]