13edo and optimal octave stretching - Revision history

Lériendil: Text replacement - "Category:Tempered_scales↵Category:Pages with mostly numerical content" to "Category:Tempered scales Category:Pages with mostly numerical content"

2025-06-24T02:56:54Z

← Older revision		Revision as of 02:56, 24 June 2025
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	[[Category:13-tone scales]]		[[Category:13-tone scales]]
	[[Category:~~Tempered_scales~~]]		[[Category:Tempered scales]]
	[[Category:Pages with mostly numerical content]]		[[Category:Pages with mostly numerical content]]

2025-06-24T02:28:26Z

← Older revision		Revision as of 02:28, 24 June 2025
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	[[Category:13-tone scales]]		[[Category:13-tone scales]]
	[[Category:~~Tempered scales~~]]		[[Category:Tempered_scales]]
	[[Category:Pages with mostly numerical content]]		[[Category:Pages with mostly numerical content]]

2025-06-24T02:24:38Z

← Older revision		Revision as of 02:24, 24 June 2025
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	[[Category:13-tone scales]]		[[Category:13-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]
			[[Category:Pages with mostly numerical content]]

	[[Category:Zeta]]		[[Category:Zeta]]
	[[Category:13edo]]		[[Category:13edo]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

2025-06-24T00:32:14Z

← Older revision		Revision as of 00:32, 24 June 2025
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	1202.90007		1202.90007
	</pre>		</pre>
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:13-tone scales]]		[[Category:13-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Zeta]]		[[Category:Zeta]]
	[[Category:13edo]]		[[Category:13edo]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

2025-06-24T00:23:38Z

← Older revision		Revision as of 00:23, 24 June 2025
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	[[Category:13-tone scales]]		[[Category:13-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Zeta]]		[[Category:Zeta]]
	[[Category:13edo]]		[[Category:13edo]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

2025-06-23T23:32:31Z

← Older revision		Revision as of 23:32, 23 June 2025
Line 23:		Line 23:
	1202.90007		1202.90007
	</pre>		</pre>
			[[Category:Pages with mostly numerical content]]
	[[Category:13-tone scales]]		[[Category:13-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]

2024-01-14T07:04:48Z

Added categories

← Older revision		Revision as of 07:04, 14 January 2024
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	1202.90007		1202.90007
	</pre>		</pre>
			[[Category:13-tone scales]]
			[[Category:Tempered scales]]
	[[Category:Zeta]]		[[Category:Zeta]]
	[[Category:13edo]]		[[Category:13edo]]
			[[Category:Pages with Scala files]]

2023-04-14T01:47:48Z

Added to two categories, and fixed a red link

← Older revision		Revision as of 01:47, 14 April 2023
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	[[13edo]] has its [[local zeta peak]] at 12.96866 edo, which corresponds to an [[octave equivalence]] of 1202.9 cents.		[[13edo]] has its [[The Riemann zeta function and tuning\|local zeta peak]] at 12.96866 edo, which corresponds to an [[octave equivalence]] of 1202.9 cents.

	Interestingly, this stretching improves both its [[acoustic phi]] interval (9\13), which now has an error of only -0.3 cents, as well as its [[logarithmic phi]] interval (21\13), which now has an error of only +1.5 cents.		Interestingly, this stretching improves both its [[acoustic phi]] interval (9\13), which now has an error of only -0.3 cents, as well as its [[logarithmic phi]] interval (21\13), which now has an error of only +1.5 cents.
Line 23:		Line 23:
	1202.90007		1202.90007
	</pre>		</pre>
			[[Category:Zeta]]
			[[Category:13edo]]

2023-03-06T14:02:15Z

← Older revision		Revision as of 14:02, 6 March 2023
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	[[13edo]] has its [[local zeta peak]] at 12.96866 edo, which corresponds to an octave equivalence of 1202.9 cents.		[[13edo]] has its [[local zeta peak]] at 12.96866 edo, which corresponds to an [[octave equivalence]] of 1202.9 cents.

	Interestingly, this stretching improves both its [[acoustic phi]] interval (9\13), which now has an error of only -0.3 cents, as well as its [[logarithmic phi]] interval (21\13), which now has an error of only +1.5 cents.		Interestingly, this stretching improves both its [[acoustic phi]] interval (9\13), which now has an error of only -0.3 cents, as well as its [[logarithmic phi]] interval (21\13), which now has an error of only +1.5 cents.

2023-03-06T13:52:02Z

← Older revision		Revision as of 13:52, 6 March 2023
Line 1:		Line 1:
	[[13edo]] has its [[local zeta peak]] at 12.96866 edo, which corresponds to an octave equivalence of 1202.9 cents.		[[13edo]] has its [[local zeta peak]] at 12.96866 edo, which corresponds to an octave equivalence of 1202.9 cents.

	Interestingly, this stretching improves both its [[acoustic phi]] interval (9/13), which now has an error of only -0.3 cents, as well as its [[logarithmic phi]] interval (21/13), which now has an error of only +1.5 cents.		Interestingly, this stretching improves both its [[acoustic phi]] interval (9\13), which now has an error of only -0.3 cents, as well as its [[logarithmic phi]] interval (21\13), which now has an error of only +1.5 cents.

	<pre>		<pre>