93edf - Revision history

FloraC: /* Theory */ linking, precision, -typo

2025-04-18T14:18:51Z

Theory: linking, precision, -typo

← Older revision		Revision as of 14:18, 18 April 2025
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	== Theory ==		== Theory ==
	93edf is closely related to [[159edo]], but with the [[3/2\|perfect fifth]] instead of the [[2/1\|octave]] tuned just. The octave is about 0.12 cents ~~stretched~~. Like 159edo, ~~92edf~~ is [[consistent]] to the [[integer limit\|18-integer-limit]]. It has a virtually pure [[11/1\|11]], and while the [[3-limit]] part is tuned sharp plus a sharper [[17/1\|17]], the [[5/1\|5]], [[7/1\|7]], [[13/1\|13]], [[19/1\|19]] and [[23/1\|23]] remain flat but significantly less so than in 159edo.		93edf is closely related to [[159edo]], but with the [[3/2\|perfect fifth]] instead of the [[2/1\|octave]] tuned just. The octave is [[stretched and compressed tuning\|stretched]] by about 0.117 cents. Like 159edo, 93edf is [[consistent]] to the [[integer limit\|18-integer-limit]]. It has a virtually pure [[11/1\|11]], and while the [[3-limit]] part is tuned sharp plus a sharper [[17/1\|17]], the [[5/1\|5]], [[7/1\|7]], [[13/1\|13]], [[19/1\|19]] and [[23/1\|23]] remain flat but significantly less so than in 159edo.

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

FloraC: /* Theory */ +evaluation

2025-04-09T13:29:34Z

Theory: +evaluation

← Older revision		Revision as of 13:29, 9 April 2025
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	== Theory ==		== Theory ==
	93edf is closely related to [[159edo]], but with the [[3/2\|perfect fifth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 92edf is [[consistent]] to the [[integer limit\|18-integer-limit]].		93edf is closely related to [[159edo]], but with the [[3/2\|perfect fifth]] instead of the [[2/1\|octave]] tuned just. The octave is about 0.12 cents stretched. Like 159edo, 92edf is [[consistent]] to the [[integer limit\|18-integer-limit]]. It has a virtually pure [[11/1\|11]], and while the [[3-limit]] part is tuned sharp plus a sharper [[17/1\|17]], the [[5/1\|5]], [[7/1\|7]], [[13/1\|13]], [[19/1\|19]] and [[23/1\|23]] remain flat but significantly less so than in 159edo.

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

FloraC: +see also

2025-04-09T12:27:09Z

+see also

← Older revision		Revision as of 12:27, 9 April 2025
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	{{ED intro}}		{{ED intro}}

			== Theory ==
	93edf is closely related to [[159edo]], but with the [[3/2\|perfect fifth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 92edf is [[consistent]] to the [[integer limit\|18-integer-limit]].		93edf is closely related to [[159edo]], but with the [[3/2\|perfect fifth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 92edf is [[consistent]] to the [[integer limit\|18-integer-limit]].

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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 93 factors into primes as {{nowrap\| 3 × 31 }}, 93edf contains [[3edf]] and [[31edf]] as subset edfs.		Since 93 factors into primes as {{nowrap\| 3 × 31 }}, 93edf contains [[3edf]] and [[31edf]] as subset edfs.

			== See also ==
			* [[159edo]] – relative edo
			* [[252edt]] – relative edt

FloraC: Created page with "{{Infobox ET}} {{ED intro}} 93edf is closely related to 159edo, but with the perfect fifth instead of the octave tuned just. Like 159edo, 92edf is consi..."

2025-03-24T13:59:20Z

Created page with "{{Infobox ET}} {{ED intro}} 93edf is closely related to 159edo, but with the perfect fifth instead of the octave tuned just. Like 159edo, 92edf is consi..."

New page

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

93edf is closely related to [[159edo]], but with the [[3/2|perfect fifth]] instead of the [[2/1|octave]] tuned just. Like 159edo, 92edf is [[consistent]] to the [[integer limit|18-integer-limit]].

=== Harmonics ===
{{Harmonics in equal|93|3|2|intervals=integer|columns=11}}
{{Harmonics in equal|93|3|2|intervals=integer|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 93edf (continued)}}

=== Subsets and supersets ===
Since 93 factors into primes as {{nowrap| 3 × 31 }}, 93edf contains [[3edf]] and [[31edf]] as subset edfs.