Fynn's comma: Difference between revisions

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{{Infobox interval

'''Fynn's ~~Comma~~''' is the ~~interval with the ratio~~ '''~~9444732965739290427392/9387480337647754305649~~''' ~~(monzo:~~ [~~73 0 0~~ -~~26⟩)~~. It is the amount by which twenty-one octaves exceed twenty-six harmonic sevenths, or ~~2²¹~~/(7/~~4)²⁶~~

| 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]].

~~{{Stub}}~~

== 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.

== See also ==

* [[26th-octave temperaments]]

[[Category:Commas someone named after themselves]]

@@ Line 1: / Line 1: @@
-{{Infobox interval|Monzo = 73 0 0 -26|Name = Fynn's comma}}
+{{Infobox interval
-'''Fynn's Comma''' is the interval with the ratio '''9444732965739290427392/9387480337647754305649''' (monzo: [73 0 0 -26⟩). It is the amount by which twenty-one octaves exceed twenty-six harmonic sevenths, or 2²¹/(7/4)²⁶
+| 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]].
-{{Stub}}
+== 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.
+== See also ==
+* [[26th-octave temperaments]]
+[[Category:Commas someone named after themselves]]