614edo - Revision history

Hotcrystal0 at 12:26, 22 April 2026

2026-04-22T12:26:12Z

← Older revision		Revision as of 12:26, 22 April 2026
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	{{ED intro}}		{{ED intro}}

	614edo is in[[consistent]] to the [[5-odd-limit]] as [[harmonic]]s [[3/1\|3]] and [[5/1\|5]] are off in opposite directions. While harmonics 5 and [[7/1\|7]] have close to 1/3 relative error, [[11/1\|11]] and [[13/1\|13]] are more accurate, meaning 614edo can be used as a tuning for the 2.3.15.21.11.13 subgroup in the [[13-limit]]. [[3684edo]], which slices each step in 6, corrects the 3rd and 5th harmonics, however the 11 and 13 are now too inaccurate.		614edo is [[consistent\|inconsistent]] to the [[5-odd-limit]] as [[harmonic]]s [[3/1\|3]] and [[5/1\|5]] are off in opposite directions. While harmonics 5 and [[7/1\|7]] have close to 1/3 relative error, [[11/1\|11]] and [[13/1\|13]] are more accurate, meaning 614edo can be used as a tuning for the 2.3.15.21.11.13 subgroup in the [[13-limit]]. [[3684edo]], which slices each step in 6, corrects the 3rd and 5th harmonics, however the 11 and 13 are now too inaccurate.

	614edo is notable for being the edo with the edostep closest to the [[schisma]] by direct approximation; however it does not consistently represent the schisma, as it actually [[tempering out\|tempers out]] the schisma by patent val. 3684edo consistently represents the schisma as 1\614.		614edo is notable for being the edo with the edostep closest to the [[schisma]] by direct approximation; however it does not consistently represent the schisma, as it actually [[tempering out\|tempers out]] the schisma by patent val. 3684edo consistently represents the schisma as 1\614.

FloraC: - section title, as there's only one section. + links

2026-04-22T09:27:21Z

- section title, as there's only one section. + links

← Older revision		Revision as of 09:27, 22 April 2026
Line 2:		Line 2:
	{{ED intro}}		{{ED intro}}

	~~==Theory==~~		614edo is in[[consistent]] to the [[5-odd-limit]] as [[harmonic]]s [[3/1\|3]] and [[5/1\|5]] are off in opposite directions. While harmonics 5 and [[7/1\|7]] have close to 1/3 relative error, [[11/1\|11]] and [[13/1\|13]] are more accurate, meaning 614edo can be used as a tuning for the 2.3.15.21.11.13 subgroup in the [[13-limit]]. [[3684edo]], which slices each step in 6, corrects the 3rd and 5th harmonics, however the 11 and 13 are now too inaccurate.
	614edo is ~~inconsistent~~ to the 5-odd limit as ~~harmonics~~ 3 and 5 are off in opposite directions. While harmonics 5 and 7 have close to 1/3 relative error, 11 and 13 are more accurate, meaning 614edo can be used as a tuning for the 2.3.15.21.11.13 subgroup in the 13-limit. [[3684edo]], which slices each step in 6, corrects the 3rd and 5th harmonics, however the 11 and 13 are now too inaccurate.

			614edo is notable for being the edo with the edostep closest to the [[schisma]] by direct approximation; however it does not consistently represent the schisma, as it actually [[tempering out\|tempers out]] the schisma by patent val. 3684edo consistently represents the schisma as 1\614.

			=== Prime harmonics ===
	{{Harmonics in equal\|614}}		{{Harmonics in equal\|614}}

	614edo is notable for being the edo with the edostep closest to the [[schisma]] by direct approximation, however it does not consistently represent the schisma, as it actually [[tempering out\|tempers out]] the schisma by patent val. 3684edo consistently represents the schisma as 1\614.

Hotcrystal0: Created page with "{{Infobox ET}} {{ED intro}} ==Theory== 614edo is inconsistent to the 5-odd limit as harmonics 3 and 5 are off in opposite directions. While harmonics 5 and 7 have close to 1/3 relative error, 11 and 13 are more accurate, meaning 614edo can be used as a tuning for the 2.3.15.21.11.13 subgroup in the 13-limit. 3684edo, which slices each step in 6, corrects the 3rd and 5th harmonics, however the 11 and 13 are now too inaccurate. {{Harmonics in equal|614}} 614edo is n..."

2026-04-20T21:21:20Z

Created page with "{{Infobox ET}} {{ED intro}} ==Theory== 614edo is inconsistent to the 5-odd limit as harmonics 3 and 5 are off in opposite directions. While harmonics 5 and 7 have close to 1/3 relative error, 11 and 13 are more accurate, meaning 614edo can be used as a tuning for the 2.3.15.21.11.13 subgroup in the 13-limit. 3684edo, which slices each step in 6, corrects the 3rd and 5th harmonics, however the 11 and 13 are now too inaccurate. {{Harmonics in equal|614}} 614edo is n..."

New page

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

==Theory==
614edo is inconsistent to the 5-odd limit as harmonics 3 and 5 are off in opposite directions. While harmonics 5 and 7 have close to 1/3 relative error, 11 and 13 are more accurate, meaning 614edo can be used as a tuning for the 2.3.15.21.11.13 subgroup in the 13-limit. [[3684edo]], which slices each step in 6, corrects the 3rd and 5th harmonics, however the 11 and 13 are now too inaccurate.

{{Harmonics in equal|614}}

614edo is notable for being the edo with the edostep closest to the [[schisma]] by direct approximation, however it does not consistently represent the schisma, as it actually [[tempering out|tempers out]] the schisma by patent val. 3684edo consistently represents the schisma as 1\614.