Fynn's comma - Revision history

Squib at 16:05, 11 April 2026

2026-04-11T16:05:22Z

← Older revision		Revision as of 16:05, 11 April 2026
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	\| Comma = true		\| Comma = true
	}}		}}
	'''Fynn's comma''' ({{monzo\|legend=1\| 73 0 0 -26 }}, [[ratio]]: 9 444 732 965 739 290 427 392 / 9 387 480 337 647 754 305 649), or systematically, the '''26-7-comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 10.5 [[cent]]s. It is the amount by which twenty-one [[2/1\|octaves]] exceed twenty-six [[7/1\|harmonic sevenths]], or ~~2<sup>21</sup>~~/(7~~/4)<sup>26</sup>~~. It explains the high accuracy of [[26edo]]'s approximate [[harmonic]] [[7/1\|7]].		'''Fynn's comma''' ({{monzo\|legend=1\| 73 0 0 -26 }}, [[ratio]]: 9 444 732 965 739 290 427 392 / 9 387 480 337 647 754 305 649), or systematically, the '''26-7-comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 10.5 [[cent]]s. It is the amount by which twenty-one [[2/1\|octaves]] exceed twenty-six [[7/4\|harmonic sevenths]], or the amount by which twenty-one [[8/7\|septimal major seconds]] exceed five octaves. It explains the high accuracy of [[26edo]]'s approximate [[harmonic]] [[7/1\|7]].

	== Temperaments ==		== Temperaments ==

Hotcrystal0: correct typo

2026-03-24T17:01:53Z

correct typo

← Older revision		Revision as of 17:01, 24 March 2026
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	==Trivia==		==Trivia==

	This interval is the difference between the [[dilemma]], the difference between a 13 7/4s and 10 octaves, and the [[antidilemma]], difference between 13 7/4s and 11 octaves. Since 26edo has an accurate 7/4 not shared with any lower edo, [[13edo]] has almost 50% relative error on it.		This interval is the difference between the [[dilemma]], the difference between 13 7/4s and 10 octaves, and the [[antidilemma]], difference between 13 7/4s and 11 octaves. Since 26edo has an accurate 7/4 not shared with any lower edo, [[13edo]] has almost 50% relative error on it.

	== See also ==		== See also ==

Hotcrystal0 at 17:01, 24 March 2026

2026-03-24T17:01:38Z

← Older revision		Revision as of 17:01, 24 March 2026
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	==Trivia==		==Trivia==

	This interval is the difference between the [[dilemma]], the difference between a 13 7/4s and 10 octaves, and the [[antidilemma]], difference between 13 7/4s and 11 octaves.		This interval is the difference between the [[dilemma]], the difference between a 13 7/4s and 10 octaves, and the [[antidilemma]], difference between 13 7/4s and 11 octaves. Since 26edo has an accurate 7/4 not shared with any lower edo, [[13edo]] has almost 50% relative error on it.

	== See also ==		== See also ==

Hotcrystal0: dilemma thing should fit in a trivia section

2026-03-24T17:00:52Z

dilemma thing should fit in a trivia section

← Older revision		Revision as of 17:00, 24 March 2026
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma splits the octave into 26 equal parts and maps 7/4 to 21\26, For edos ''N'' up to 1456, it is tempered out if and only if 26 divides ''N''.		[[Tempering out]] this comma splits the octave into 26 equal parts and maps 7/4 to 21\26, For edos ''N'' up to 1456, it is tempered out if and only if 26 divides ''N''.

			==Trivia==

			This interval is the difference between the [[dilemma]], the difference between a 13 7/4s and 10 octaves, and the [[antidilemma]], difference between 13 7/4s and 11 octaves.

	== See also ==		== See also ==

FloraC: XW: NG

2026-02-28T06:36:44Z

XW: NG

← Older revision		Revision as of 06:36, 28 February 2026
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	\| Comma = true		\| Comma = true
	}}		}}
	'''Fynn's comma''' ({{monzo\|legend=1\| 73 0 0 -26 }}, [[ratio]]: 9 444 732 965 739 290 427 392 / 9 387 480 337 647 754 305 649), or systematically, the '''26-7-comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 10.5 [[cent]]s. It is the amount by which twenty-one [[2/1\|octaves]] exceed twenty-six [[7/1\|harmonic sevenths]], or 2<sup>21</sup>/(7/4)<sup>26</sup>. It ~~is the comma between~~ the [[~~dilemma~~]] ~~and the~~ [[~~antidilemma~~]]~~, intervals describing the difference between 13~~ 7/~~4s and 10 or 11 octaves respectively, explaining the high accuracy of [[26edo~~]] ~~at harmonic 7~~.		'''Fynn's comma''' ({{monzo\|legend=1\| 73 0 0 -26 }}, [[ratio]]: 9 444 732 965 739 290 427 392 / 9 387 480 337 647 754 305 649), or systematically, the '''26-7-comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 10.5 [[cent]]s. It is the amount by which twenty-one [[2/1\|octaves]] exceed twenty-six [[7/1\|harmonic sevenths]], or 2<sup>21</sup>/(7/4)<sup>26</sup>. It explains the high accuracy of [[26edo]]'s approximate [[harmonic]] [[7/1\|7]].

	==Temperaments==		== Temperaments ==
			[[Tempering out]] this comma splits the octave into 26 equal parts and maps 7/4 to 21\26, For edos ''N'' up to 1456, it is tempered out if and only if 26 divides ''N''.
	Tempering out ~~Fynn's~~ comma splits the octave into 26 equal parts and maps 7/4 to 21\26, For edos ''N'' up to 1456, it is tempered out if and only if 26 divides ''N''.

	~~==See also==~~

			== See also ==
	* [[26th-octave temperaments]]		* [[26th-octave temperaments]]

	[[Category:Commas someone named after themselves]]		[[Category:Commas someone named after themselves]]

Overthink: /* See also */ formatting

2026-02-27T22:44:46Z

Hotcrystal0: 21 not 18

2026-02-27T20:43:56Z

21 not 18

← Older revision		Revision as of 20:43, 27 February 2026
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	==Temperaments==		==Temperaments==

	Tempering out Fynn's comma splits the octave into 26 equal parts and maps 7/4 to 18\26, For edos ''N'' up to 1456, it is tempered out if and only if 26 divides ''N''.		Tempering out Fynn's comma splits the octave into 26 equal parts and maps 7/4 to 21\26, For edos ''N'' up to 1456, it is tempered out if and only if 26 divides ''N''.

	==See also==		==See also==

Hotcrystal0: yes, this is a real category

2026-02-27T20:43:16Z

yes, this is a real category

← Older revision		Revision as of 20:43, 27 February 2026
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	[[26th-octave temperaments]]		[[26th-octave temperaments]]
			[[Category:Commas someone named after themselves]]

Hotcrystal0: link to 26edo

2026-02-27T20:39:39Z

link to 26edo

← Older revision		Revision as of 20:39, 27 February 2026
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	\| Comma = true		\| Comma = true
	}}		}}
	'''Fynn's comma''' ({{monzo\|legend=1\| 73 0 0 -26 }}, [[ratio]]: 9 444 732 965 739 290 427 392 / 9 387 480 337 647 754 305 649), or systematically, the '''26-7-comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 10.5 [[cent]]s. It is the amount by which twenty-one [[2/1\|octaves]] exceed twenty-six [[7/1\|harmonic sevenths]], or 2<sup>21</sup>/(7/4)<sup>26</sup>. It is the comma between the [[dilemma]] and the [[antidilemma]], intervals describing the difference between 13 7/4s and 10 or 11 octaves respectively, explaining the high accuracy of 26edo at harmonic 7.		'''Fynn's comma''' ({{monzo\|legend=1\| 73 0 0 -26 }}, [[ratio]]: 9 444 732 965 739 290 427 392 / 9 387 480 337 647 754 305 649), or systematically, the '''26-7-comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 10.5 [[cent]]s. It is the amount by which twenty-one [[2/1\|octaves]] exceed twenty-six [[7/1\|harmonic sevenths]], or 2<sup>21</sup>/(7/4)<sup>26</sup>. It is the comma between the [[dilemma]] and the [[antidilemma]], intervals describing the difference between 13 7/4s and 10 or 11 octaves respectively, explaining the high accuracy of [[26edo]] at harmonic 7.

	==Temperaments==		==Temperaments==

Hotcrystal0: Temperaments

2026-02-27T20:38:58Z

Temperaments

← Older revision		Revision as of 20:38, 27 February 2026
Line 4:		Line 4:
	\| Comma = true		\| Comma = true
	}}		}}
	'''Fynn's comma''' ({{monzo\|legend=1\| 73 0 0 -26 }}, [[ratio]]: 9 444 732 965 739 290 427 392 / 9 387 480 337 647 754 305 649), or systematically, the '''26-7-comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 10.5 [[cent]]s. It is the amount by which twenty-one [[2/1\|octaves]] exceed twenty-six [[7/1\|harmonic sevenths]], or 2<sup>21</sup>/(7/4)<sup>26</sup>. It is the comma between the [[dilemma]] and the [[antidilemma]], intervals describing the difference between 13 7/4s and 10 or 11 octaves respectively, explaining the high accuracy of 26edo at harmonic 7. It is ~~[[tempering out\|~~tempered out~~]] by [[26edo]]~~ and ~~its multiples~~.		'''Fynn's comma''' ({{monzo\|legend=1\| 73 0 0 -26 }}, [[ratio]]: 9 444 732 965 739 290 427 392 / 9 387 480 337 647 754 305 649), or systematically, the '''26-7-comma''', is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 10.5 [[cent]]s. It is the amount by which twenty-one [[2/1\|octaves]] exceed twenty-six [[7/1\|harmonic sevenths]], or 2<sup>21</sup>/(7/4)<sup>26</sup>. It is the comma between the [[dilemma]] and the [[antidilemma]], intervals describing the difference between 13 7/4s and 10 or 11 octaves respectively, explaining the high accuracy of 26edo at harmonic 7.

			==Temperaments==

			Tempering out Fynn's comma splits the octave into 26 equal parts and maps 7/4 to 18\26, For edos ''N'' up to 1456, it is tempered out if and only if 26 divides ''N''.

	==See also==		==See also==

	[[26th-octave temperaments]]		[[26th-octave temperaments]]

← Older revision		Revision as of 22:44, 27 February 2026
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	==See also==		==See also==

	[[26th-octave temperaments]]		* [[26th-octave temperaments]]

	[[Category:Commas someone named after themselves]]		[[Category:Commas someone named after themselves]]