4000/3993: Difference between revisions

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'''4000/3993''', the '''wizardharry comma''' (from [[wizard]] and [[harry]] (named after [[Harry Partch]])) 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''' (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.

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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-'''4000/3993''', the '''wizardharry comma''' (from [[wizard]] and [[harry]] (named after [[Harry Partch]])) 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''' (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.
 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]]).