Fynn's comma: Difference between revisions

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'''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 ==

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==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 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 ==

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-'''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 ==
@@ Line 11: / Line 11: @@
 ==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 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 ==