323ed6 - Revision history

Tristanbay: /* Theory */Someone forgot to change the octave stretch cent value after copying the text from the 198edt page

2026-02-27T14:33:34Z

Theory: Someone forgot to change the octave stretch cent value after copying the text from the 198edt page

← Older revision		Revision as of 14:33, 27 February 2026
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	== Theory ==		== Theory ==
	323ed6 is closely related to [[125edo]], but with the 6th harmonic rather than the [[2/1\|octave]] being just. The octave is [[stretched and compressed tuning\|stretched]] by about 0.~~729~~ cents. Unlike 125edo, which is only [[consistent]] to the [[integer limit\|10-integer-limit]], 323ed6 is consistent to the 12-integer-limit. In particular, it improves the approximated [[prime harmonic]]s [[5/1\|5]], [[11/1\|11]] and [[13/1\|13]] over 125edo, though the [[7/1\|7]], [[17/1\|17]] and [[19/1\|19]], which are sharp to start with, are tuned a little worse here.		323ed6 is closely related to [[125edo]], but with the 6th harmonic rather than the [[2/1\|octave]] being just. The octave is [[stretched and compressed tuning\|stretched]] by about 0.447 cents. Unlike 125edo, which is only [[consistent]] to the [[integer limit\|10-integer-limit]], 323ed6 is consistent to the 12-integer-limit. In particular, it improves the approximated [[prime harmonic]]s [[5/1\|5]], [[11/1\|11]] and [[13/1\|13]] over 125edo, though the [[7/1\|7]], [[17/1\|17]] and [[19/1\|19]], which are sharp to start with, are tuned a little worse here.

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

FloraC: /* Theory */ fix

2025-07-30T09:54:49Z

Theory: fix

← Older revision		Revision as of 09:54, 30 July 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	323ed6 is closely related to [[125edo]], but with the ~~[[3/1\|perfect twelfth]]~~ rather than the [[2/1\|octave]] being just. The octave is [[stretched and compressed tuning\|stretched]] by about 0.729 cents. Unlike 125edo, which is only [[consistent]] to the [[integer limit\|10-integer-limit]], 323ed6 is consistent to the 12-integer-limit. In particular, it improves the approximated [[prime harmonic]]s [[5/1\|5]], [[11/1\|11]] and [[13/1\|13]] over 125edo, though the [[7/1\|7]], [[17/1\|17]] and [[19/1\|19]], which are sharp to start with, are tuned a little worse here.		323ed6 is closely related to [[125edo]], but with the 6th harmonic rather than the [[2/1\|octave]] being just. The octave is [[stretched and compressed tuning\|stretched]] by about 0.729 cents. Unlike 125edo, which is only [[consistent]] to the [[integer limit\|10-integer-limit]], 323ed6 is consistent to the 12-integer-limit. In particular, it improves the approximated [[prime harmonic]]s [[5/1\|5]], [[11/1\|11]] and [[13/1\|13]] over 125edo, though the [[7/1\|7]], [[17/1\|17]] and [[19/1\|19]], which are sharp to start with, are tuned a little worse here.

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

FloraC: /* Theory */

2025-04-15T12:37:33Z

Theory

← Older revision		Revision as of 12:37, 15 April 2025
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	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|323\|6\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|323\|6\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|323\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true}}		{{Harmonics in equal\|323\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 323ed6 (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 323 factors into primes as {{nowrap\| 17 × 19 }}, 323ed6 contains [[17ed6]] and [[19ed6]] as subset ed6's.		Since 323 factors into primes as {{nowrap\| 17 × 19 }}, 323ed6 contains [[17ed6]] and [[19ed6]] as subset ed6's.

	== See also ==		== See also ==
	* [[125edo]] – relative edo		* [[125edo]] – relative edo
	* [[198edt]] – relative edt		* [[198edt]] – relative edt

FloraC: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 323ed6 is closely related to 125edo, but with the perfect twelfth rather than the octave being just. The octave is stretched by about 0.729 cents. Unlike 125edo, which is only consistent to the 10-integer-limit, 323ed6 is consistent to the 12-integer-limit. In particular, it improves the approximated prime harmonics 5, 11 and 13/1..."

2025-04-15T12:30:26Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 323ed6 is closely related to 125edo, but with the perfect twelfth rather than the octave being just. The octave is stretched by about 0.729 cents. Unlike 125edo, which is only consistent to the 10-integer-limit, 323ed6 is consistent to the 12-integer-limit. In particular, it improves the approximated prime harmonics 5, 11 and 13/1..."

New page

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

== Theory ==
323ed6 is closely related to [[125edo]], but with the [[3/1|perfect twelfth]] rather than the [[2/1|octave]] being just. The octave is [[stretched and compressed tuning|stretched]] by about 0.729 cents. Unlike 125edo, which is only [[consistent]] to the [[integer limit|10-integer-limit]], 323ed6 is consistent to the 12-integer-limit. In particular, it improves the approximated [[prime harmonic]]s [[5/1|5]], [[11/1|11]] and [[13/1|13]] over 125edo, though the [[7/1|7]], [[17/1|17]] and [[19/1|19]], which are sharp to start with, are tuned a little worse here.

=== Harmonics ===
{{Harmonics in equal|323|6|1|intervals=integer|columns=11}}
{{Harmonics in equal|323|6|1|intervals=integer|columns=12|start=12|collapsed=true}}

=== Subsets and supersets ===
Since 323 factors into primes as {{nowrap| 17 × 19 }}, 323ed6 contains [[17ed6]] and [[19ed6]] as subset ed6's.

== See also ==
* [[125edo]] – relative edo
* [[198edt]] – relative edt