4000/3993: Difference between revisions

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'''4000/3993''', the '''wizardharry comma''' ~~(from [[wizard]] and [[harry]] (named after [[Harry Partch]]), and possibly as a reference to the ''Harry Potter'' books)~~ or '''pine comma''' ~~(for its relevance and importance to [[7L 1s]])~~ is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] with a size of roughly 3.03 [[cents]]. It is the amount by which a stack of three [[11/10]] submajor seconds falls short of the [[4/3]] perfect fourth, therefore it is equal to ([[4/3|12/9]])/([[11/10]])<sup>3</sup> = S10/S11.

'''4000/3993''', the '''wizardharry comma''' or '''pine comma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] with a size of roughly 3.03 [[cents]]. It is the amount by which a stack of three [[11/10]] submajor seconds falls short of the [[4/3]] perfect fourth, therefore it is equal to ([[4/3|12/9]])/([[11/10]])<sup>3</sup> = S10/S11.

In terms of commas, it is trivially the difference between S10 = [[100/99]] and S11 = [[121/120]] or less trivially between S12/S14 = [[540/539]] and S99 = [[9801/9800]]. It factors into 13-limit commas as ([[1575/1573]])([[2080/2079]]) or ([[625/624]])([[6656/6655]]).

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These are just a few examples, but there is a massive wealth of possible high-accuracy temperaments that temper out this comma, including the [[41-limit]] temperament [[311edo]].

== Etymology ==

''Wizardharry comma'' was presumably given by [[Gene Ward Smith]] in 2010<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13567 ''Small comma'' (Revision as of 14:08, 1 September 2010 by Wikispaces>genewardsmith)]. </ref>. It combines ''[[wizard]]'' and ''[[harry]]'', two of the temperaments where the comma is tempered out, the latter being named after [[Harry Partch]]. ''Harry'' gave rise to a number of names related to the ''{{w|Harry Potter}}'' books, which might have been an inspiration for this combination.

''Pine comma'' was given by [[User:Godtone|Godtone]] in 2023, for its relevance and importance to the pine ([[7L 1s]]) scale.

== Notes ==

[[Category:Wizardharry]]

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 }}
-'''4000/3993''', the '''wizardharry comma''' (from [[wizard]] and [[harry]] (named after [[Harry Partch]]), and possibly as a reference to the ''Harry Potter'' books) or '''pine comma''' (for its relevance and importance to [[7L 1s]]) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] with a size of roughly 3.03 [[cents]]. It is the amount by which a stack of three [[11/10]] submajor seconds falls short of the [[4/3]] perfect fourth, therefore it is equal to ([[4/3|12/9]])/([[11/10]])<sup>3</sup> = S10/S11.
+'''4000/3993''', the '''wizardharry comma''' or '''pine comma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] with a size of roughly 3.03 [[cents]]. It is the amount by which a stack of three [[11/10]] submajor seconds falls short of the [[4/3]] perfect fourth, therefore it is equal to ([[4/3|12/9]])/([[11/10]])<sup>3</sup> = S10/S11.
 In terms of commas, it is trivially the difference between S10 = [[100/99]] and S11 = [[121/120]] or less trivially between S12/S14 = [[540/539]] and S99 = [[9801/9800]]. It factors into 13-limit commas as ([[1575/1573]])([[2080/2079]]) or ([[625/624]])([[6656/6655]]).
@@ Line 23: / Line 23: @@
 These are just a few examples, but there is a massive wealth of possible high-accuracy temperaments that temper out this comma, including the [[41-limit]] temperament [[311edo]].
+== Etymology ==
+''Wizardharry comma'' was presumably given by [[Gene Ward Smith]] in 2010<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13567 ''Small comma'' (Revision as of 14:08, 1 September 2010 by Wikispaces>genewardsmith)]. </ref>. It combines ''[[wizard]]'' and ''[[harry]]'', two of the temperaments where the comma is tempered out, the latter being named after [[Harry Partch]]. ''Harry'' gave rise to a number of names related to the ''{{w|Harry Potter}}'' books, which might have been an inspiration for this combination.
+''Pine comma'' was given by [[User:Godtone|Godtone]] in 2023, for its relevance and importance to the pine ([[7L 1s]]) scale.
+== Notes ==
 [[Category:Wizardharry]]