Harrison's comma: Difference between revisions

Interval information
Ratio	59049/57344
Factorization	2-13 × 310 × 7-1
Monzo	[-13 10 0 -1⟩
Size in cents	50.7241¢
Name	Harrison's comma
FJS name	[math]\displaystyle{ \text{d}{-2}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	31.657
Weil norm (log2 max(n, d))	31.6993
Wilson norm (sopfr(nd))	63
	Open this interval in xen-calc

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Revision as of 00:48, 8 November 2020

59049/57344, or Harrison's comma, is the amount by which ten 3/2s exceed 7/4 (all octave-reduced). In other words, (3/2)¹⁰ = 7 ⋅ 59049/57344. It is tempered out in septimal meantone, where ten generators is mapped to 7/4.

@@ Line 1: / Line 1: @@
-/57344, or Harrison's [[Comma|comma]], is the amount by which ten 3/2s exceed 7/4 <span style="line-height: 1.5;">(all octave-reduced). In other words, (3/2)^10 = 7 * 59049/57344. It is tempered out in [[Meantone_family|septimal meantone]]</span>, where ten generators is mapped to 7/4<span style="line-height: 1.5;">.</span>
+{{Infobox Interval
+| JI glyph =
+| Ratio = 59049/57344
+| Monzo = -13 10 0 -1
+| Cents = 50.72410
+| Name = Harrison's comma
+| Color name =
+| FJS name =
+| Sound =
+}}
-Its [[monzo|monzo]] is | -13 10 0 -1 &gt;
+'''59049/57344''', or Harrison's [[Comma|comma]], is the amount by which ten [[3/2]]s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It is tempered out in [[Meantone family|septimal meantone]], where ten generators is mapped to 7/4.
-<span style="line-height: 1.5;">Its value is </span><span style="text-align: -webkit-right;">50.72410 cents.</span>
-<span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 25px; width: 1px;">
-{| class="wikitable"
-|-
-| | 59049/57344
-|}
-</span>
 [[Category:Medium comma]]
-[[Category:Todo:improve layout]]

Harrison's comma: Difference between revisions

Revision as of 00:48, 8 November 2020

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