336edt - Revision history

FloraC: /* Theory */ oops +1

2025-04-18T14:51:33Z

Theory: oops +1

← Older revision		Revision as of 14:51, 18 April 2025
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 336 factors into primes as {{nowrap\| 2<sup>4</sup> × 7 × 7 }}, 336edt contains subset edts {{EDs\|equave=f\| 2, 4, 6, 7, 8, 14, 16, 21, 28, 42, 56, 84, 112, and 168 }}.		Since 336 factors into primes as {{nowrap\| 2<sup>4</sup> × 3 × 7 }}, 336edt contains subset edts {{EDs\|equave=t\| 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, and 168 }}.

	== See also ==		== See also ==
	* [[124edf]] – relative edf		* [[124edf]] – relative edf
	* [[212edo]] – relative edo		* [[212edo]] – relative edo

FloraC: /* Theory */ oops

2025-04-18T14:50:35Z

Theory: oops

← Older revision		Revision as of 14:50, 18 April 2025
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	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|336\|3\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|336\|3\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|336\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=1\|title=Approximation of harmonics in ~~124edf~~ (continued)}}		{{Harmonics in equal\|336\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=1\|title=Approximation of harmonics in 336edt (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since ~~124~~ factors into primes as {{nowrap\| 2<sup>2</sup> × 31 }}, ~~124edf~~ contains subset ~~edfs~~ {{EDs\|equave=f\| 2, 4, 31, and 62 }}.		Since 336 factors into primes as {{nowrap\| 2<sup>4</sup> × 7 × 7 }}, 336edt contains subset edts {{EDs\|equave=f\| 2, 4, 6, 7, 8, 14, 16, 21, 28, 42, 56, 84, 112, and 168 }}.

	== See also ==		== See also ==
	* [[124edf]] – relative edf		* [[124edf]] – relative edf
	* [[212edo]] – relative edo		* [[212edo]] – relative edo

FloraC: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 336edt is nearly identical to 212edo, but with the perfect twelfth instead of the octave tuned just. The octave is stretched by about 0.0430 cents. Like 212edo, 336edt is consistent to the 16-integer-limit. The stretch is so subtle that most of the prime harmonics tuned flat in 212edo remain flat. === Harmonics === {{Harmonics in equal|336|3|1|int..."

2025-04-18T14:48:59Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 336edt is nearly identical to 212edo, but with the perfect twelfth instead of the octave tuned just. The octave is stretched by about 0.0430 cents. Like 212edo, 336edt is consistent to the 16-integer-limit. The stretch is so subtle that most of the prime harmonics tuned flat in 212edo remain flat. === Harmonics === {{Harmonics in equal|336|3|1|int..."

New page

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

== Theory ==
336edt is nearly identical to [[212edo]], 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 212edo, 336edt is [[consistent]] to the [[integer limit|16-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 212edo remain flat.

=== Harmonics ===
{{Harmonics in equal|336|3|1|intervals=integer|columns=11}}
{{Harmonics in equal|336|3|1|intervals=integer|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 124edf (continued)}}

=== Subsets and supersets ===
Since 124 factors into primes as {{nowrap| 2<sup>2</sup> × 31 }}, 124edf contains subset edfs {{EDs|equave=f| 2, 4, 31, and 62 }}.

== See also ==
* [[124edf]] – relative edf
* [[212edo]] – relative edo