FloraC: /* Theory */ - copypasto

2025-07-15T17:53:38Z

Theory: - copypasto

← Older revision		Revision as of 17:53, 15 July 2025
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	== Theory ==		== Theory ==
	512ed6 is related to [[198edo]], but with the 6th harmonic rather than the [[2/1\|octave]] being just. The octave is [[stretched and compressed tuning\|compressed]] by about 0.416 cents. Like 198edo, ~~314edt~~ is [[consistent]] to the [[integer limit\|16-integer-limit]]. It is well optimized for the [[7-limit]], with the same tuning as [[256ed6]], but the higher harmonics tend a little flat, especially considering how flat the [[11/1\|11]] and [[19/1\|19]] are tuned.		512ed6 is related to [[198edo]], but with the 6th harmonic rather than the [[2/1\|octave]] being just. The octave is [[stretched and compressed tuning\|compressed]] by about 0.416 cents. Like 198edo, 512ed6 is [[consistent]] to the [[integer limit\|16-integer-limit]]. It is well optimized for the [[7-limit]], with the same tuning as [[256ed6]], but the higher harmonics tend a little flat, especially considering how flat the [[11/1\|11]] and [[19/1\|19]] are tuned.

	=== Harmonics ===		=== Harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 512 factors into primes as 2<sup>9</sup>, 512ed6 contains subset ed6's {{EDs\|equave=6\| 2, 4, 8, 16, 32, 64, 128, and 256 }}.		Since 512 factors into primes as 2<sup>9</sup>, 512ed6 contains subset ed6's {{EDs\|equave=6\| 2, 4, 8, 16, 32, 64, 128, and 256 }}.

	== See also ==		== See also ==
	* [[198edo]] – relative edo		* [[198edo]] – relative edo
	* [[314edt]] – relative edt		* [[314edt]] – relative edt

FloraC: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 512ed6 is related to 198edo, but with the 6th harmonic rather than the octave being just. The octave is compressed by about 0.416 cents. Like 198edo, 314edt is consistent to the 16-integer-limit. It is well optimized for the 7-limit, with the same tuning as 256ed6, but the higher harmonics tend a little flat, especially considering how flat the 11/1|1..."

2025-04-19T12:26:10Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 512ed6 is related to 198edo, but with the 6th harmonic rather than the octave being just. The octave is compressed by about 0.416 cents. Like 198edo, 314edt is consistent to the 16-integer-limit. It is well optimized for the 7-limit, with the same tuning as 256ed6, but the higher harmonics tend a little flat, especially considering how flat the 11/1|1..."

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

== Theory ==
512ed6 is related to [[198edo]], but with the 6th harmonic rather than the [[2/1|octave]] being just. The octave is [[stretched and compressed tuning|compressed]] by about 0.416 cents. Like 198edo, 314edt is [[consistent]] to the [[integer limit|16-integer-limit]]. It is well optimized for the [[7-limit]], with the same tuning as [[256ed6]], but the higher harmonics tend a little flat, especially considering how flat the [[11/1|11]] and [[19/1|19]] are tuned.

=== Harmonics ===
{{Harmonics in equal|512|6|1}}
{{Harmonics in equal|512|6|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 512ed6 (continued)}}

=== Subsets and supersets ===
Since 512 factors into primes as 2<sup>9</sup>, 512ed6 contains subset ed6's {{EDs|equave=6| 2, 4, 8, 16, 32, 64, 128, and 256 }}.

== See also ==
* [[198edo]] – relative edo
* [[314edt]] – relative edt

512ed6 - Revision history

FloraC: /* Theory */ - copypasto