269ed6 - Revision history

FloraC: Oops

2025-04-18T13:22:20Z

Oops

← Older revision		Revision as of 13:22, 18 April 2025
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	== Theory ==		== Theory ==
	269ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1\|octave]] tuned just. The octave is [[~~streched~~ and compressed tuning\|compressed]] by about 0.731 cents. Unlike 104edo, which is only [[consistent]] to the [[integer limit\|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1\|3]] and [[5/1\|5]] sharp, 2, [[7/1\|7]] and [[13/1\|13]] flat, and [[11/1\|11]] practically pure.		269ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1\|octave]] tuned just. The octave is [[stretched and compressed tuning\|compressed]] by about 0.731 cents. Unlike 104edo, which is only [[consistent]] to the [[integer limit\|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1\|3]] and [[5/1\|5]] sharp, 2, [[7/1\|7]] and [[13/1\|13]] flat, and [[11/1\|11]] practically pure.

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

FloraC: +link and precision

2025-04-18T13:22:03Z

+link and precision

← Older revision		Revision as of 13:22, 18 April 2025
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	== Theory ==		== Theory ==
	269ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1\|octave]] tuned just. The octave is about 0.73 cents ~~compressed~~. Unlike 104edo, which is only [[consistent]] to the [[integer limit\|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1\|3]] and [[5/1\|5]] sharp, 2, [[7/1\|7]] and [[13/1\|13]] flat, and [[11/1\|11]] practically pure.		269ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1\|octave]] tuned just. The octave is [[streched and compressed tuning\|compressed]] by about 0.731 cents. Unlike 104edo, which is only [[consistent]] to the [[integer limit\|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1\|3]] and [[5/1\|5]] sharp, 2, [[7/1\|7]] and [[13/1\|13]] flat, and [[11/1\|11]] practically pure.

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

FloraC: -typo

2025-04-18T13:10:58Z

-typo

← Older revision		Revision as of 13:10, 18 April 2025
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	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|269\|6\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|269\|6\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|269\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in ~~165edt~~ (continued)}}		{{Harmonics in equal\|269\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 256ed6 (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===

FloraC: Fix table title

2025-04-09T12:10:45Z

Fix table title

← Older revision		Revision as of 12:10, 9 April 2025
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	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|269\|6\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|269\|6\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|269\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|Approximation of harmonics in 165edt (continued)}}		{{Harmonics in equal\|269\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 165edt (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===

FloraC: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 269ed6 is closely related to 104edo, but with the 6th harmonic instead of the octave tuned just. The octave is about 0.73 cents compressed. Unlike 104edo, which is only consistent to the 4-integer-limit, 269ed6 is consistent to the 6-integer-limit. It tunes prime harmonics 3 and 5 sharp, 2, 7 and 13 flat, and 11 practically pure. === Harmonics === {..."

2025-04-09T12:08:43Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 269ed6 is closely related to 104edo, but with the 6th harmonic instead of the octave tuned just. The octave is about 0.73 cents compressed. Unlike 104edo, which is only consistent to the 4-integer-limit, 269ed6 is consistent to the 6-integer-limit. It tunes prime harmonics 3 and 5 sharp, 2, 7 and 13 flat, and 11 practically pure. === Harmonics === {..."

New page

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

== Theory ==
269ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1|octave]] tuned just. The octave is about 0.73 cents compressed. Unlike 104edo, which is only [[consistent]] to the [[integer limit|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1|3]] and [[5/1|5]] sharp, 2, [[7/1|7]] and [[13/1|13]] flat, and [[11/1|11]] practically pure.

=== Harmonics ===
{{Harmonics in equal|269|6|1|intervals=integer|columns=11}}
{{Harmonics in equal|269|6|1|intervals=integer|columns=12|start=12|collapsed=true|Approximation of harmonics in 165edt (continued)}}

=== Subsets and supersets ===
269ed6 is the 57th [[prime equal division|prime ed6]]. It does not contain any nontrivial subset ed6's.

== See also ==
* [[104edo]] – relative edo
* [[165edt]] – relative edt