Fynn's comma: Difference between revisions
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{{Infobox interval | |||
{{Infobox | | Monzo = 73 0 0 -26 | ||
| | | Name = Fynn's comma, 26-7-comma | ||
| 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 [[7/4|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 == | |||
[[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 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. | |||
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== See also == | |||
* [[26th-octave temperaments]] | |||
[[Category:Commas someone named after themselves]] | |||
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}}'''Fynn's | |||