Phaotic comma: Difference between revisions

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The '''photic comma''', or '''photisma''', is an [[unnoticeable comma|unnoticeable]] [[13-limit]] comma with a ratio of '''256000/255879''', and a size of approximately 0.82 [[cent]]s.  It is significant in that it is the interval separating a stack of two [[81/80|meantone commas]] from [[40/39]].  Tempering it out thus splits 40/39 into two equal halves, each representing 81/80,  leads to a form of '''lux temperament'''.
The '''photic comma''', or '''photisma''', is an [[unnoticeable comma|unnoticeable]] [[13-limit]] comma with a ratio of '''256000/255879''', and a size of approximately 0.82 [[cent]]s.  It is significant in that it is the interval separating a stack of two [[81/80|meantone commas]] from [[40/39]].  Tempering it out thus splits 40/39 into two equal halves, each representing 81/80,  leads to a form of '''photic temperament'''.

Revision as of 06:54, 23 April 2021

Interval information
Ratio 256000/255879
Factorization 211 × 3-9 × 53 × 13-1
Monzo [11 -9 3 0 0 -1
Size in cents 0.818472¢
Names photic comma,
photisma
FJS name [math]\displaystyle{ \text{A1}^{5,5,5}_{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 35.9309
Weil height (log2 max(n, d)) 35.9316
Wilson height (sopfr(nd)) 77
Open this interval in xen-calc

The photic comma, or photisma, is an unnoticeable 13-limit comma with a ratio of 256000/255879, and a size of approximately 0.82 cents. It is significant in that it is the interval separating a stack of two meantone commas from 40/39. Tempering it out thus splits 40/39 into two equal halves, each representing 81/80, leads to a form of photic temperament.