252edt - Revision history

FloraC: /* Theory */ note the amount of stretch

2025-04-18T14:52:53Z

Theory: note the amount of stretch

← Older revision		Revision as of 14:52, 18 April 2025
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	== Theory ==		== Theory ==
	252edt is nearly identical to [[159edo]], but with the [[3/1\|perfect twelfth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit\|18-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 159edo remain flat.		252edt is nearly identical to [[159edo]], but with the [[3/1\|perfect twelfth]] instead of the [[2/1\|octave]] tuned just. The octave is [[stretched and compressed tuning\|stretched]] by about 0.0430 cents. Like 159edo, 252edt is [[consistent]] to the [[integer limit\|18-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 159edo remain flat.

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

FloraC: /* Theory */

2025-04-09T13:21:58Z

Theory

← Older revision		Revision as of 13:21, 9 April 2025
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	== Theory ==		== Theory ==
	252edt is nearly identical to [[159edo]], but with the [[3/1\|perfect twelfth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit\|18-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 159edo ~~remains~~ flat.		252edt is nearly identical to [[159edo]], but with the [[3/1\|perfect twelfth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit\|18-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 159edo remain flat.

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

FloraC: /* Theory */ +evaluation

2025-04-09T13:21:42Z

Theory: +evaluation

← Older revision		Revision as of 13:21, 9 April 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	252edt is nearly identical to [[159edo]], but with the [[3/1\|perfect twelfth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit\|18-integer-limit]].		252edt is nearly identical to [[159edo]], but with the [[3/1\|perfect twelfth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit\|18-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 159edo remains flat.

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

FloraC: +see also

2025-04-09T12:28:10Z

+see also

← Older revision		Revision as of 12:28, 9 April 2025
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	{{ED intro}}		{{ED intro}}

			== Theory ==
	252edt is nearly identical to [[159edo]], but with the [[3/1\|perfect twelfth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit\|18-integer-limit]].		252edt is nearly identical to [[159edo]], but with the [[3/1\|perfect twelfth]] instead of the [[2/1\|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit\|18-integer-limit]].

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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 252 factors into primes as {{nowrap\| 2<sup>2</sup> × 3<sup>2</sup> × 7 }}, 252edt has subset edts {{EDs\|equave=t\| 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, and 126 }}.		Since 252 factors into primes as {{nowrap\| 2<sup>2</sup> × 3<sup>2</sup> × 7 }}, 252edt has subset edts {{EDs\|equave=t\| 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, and 126 }}.

			== See also ==
			* [[93edf]] – relative edf
			* [[159edo]] – relative edo

FloraC: Created page with "{{Infobox ET}} {{ED intro}} 252edt is nearly identical to 159edo, but with the perfect twelfth instead of the octave tuned just. Like 159edo, 252edt is ..."

2025-03-24T13:59:26Z

Created page with "{{Infobox ET}} {{ED intro}} 252edt is nearly identical to 159edo, but with the perfect twelfth instead of the octave tuned just. Like 159edo, 252edt is ..."

New page

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

252edt is nearly identical to [[159edo]], but with the [[3/1|perfect twelfth]] instead of the [[2/1|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit|18-integer-limit]].

=== Harmonics ===
{{Harmonics in equal|252|3|1|intervals=integer|columns=11}}
{{Harmonics in equal|252|3|1|intervals=integer|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 252edt (continued)}}

=== Subsets and supersets ===
Since 252 factors into primes as {{nowrap| 2<sup>2</sup> × 3<sup>2</sup> × 7 }}, 252edt has subset edts {{EDs|equave=t| 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, and 126 }}.