Satanic comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
VisualWikitext
Wikispaces>jdfreivald
**Imported revision 348658312 - Original comment: **
 
m Fix format
 
(17 intermediate revisions by 11 users not shown)
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Monzo = -1054 665
: This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2012-06-27 16:56:11 UTC</tt>.<br>
| Name = satanic comma
: The original revision id was <tt>348658312</tt>.<br>
| Comma = yes
: The revision comment was: <tt></tt><br>
}}
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The '''satanic comma''' ([[monzo]]: {{monzo| -1054 665 }}) is the difference between 666 perfect fifths (octave-reduced) and a single perfect fifth. Equivalently, it is the difference between 665 perfect fifths (octave-reduced) and the unison – but that would not be as devilishly intriguing. This difference is inaudible, at only 0.076{{cent}}.  
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The satanic comma is the difference between 666 perfect fifths (octave-reduced) and a single perfect fifth. Equivalently, it's the difference between 665 perfect fifths (octave-reduced) and the unison -- but that wouldn't be as devilishly intriguing.


This difference is inaudible, at only&lt;span class="st"&gt; 0.076&lt;/span&gt; cents. The monzo is |-1054 665&gt;.
It is also the difference between 13 [[Mercator's comma]]s and 2 [[pythagorean comma]]s, or put simply, the difference between the [[359-comma]] and the [[306-comma]].  


It is tempered out in 665 EDO and its multiples (1330 EDO, etc.).</pre></div>
It is tempered out in [[665edo]] and its multiples ([[1330edo]], etc.), with 665edo itself being an 11-strong 3-2 [[telicity|telic]] system due to tempering this comma out. The next smallest 3-limit comma is the [[Archangelic comma|190537-comma]], which is orders of magnitude much smaller and complex.
<h4>Original HTML content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Satanic comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The satanic comma is the difference between 666 perfect fifths (octave-reduced) and a single perfect fifth. Equivalently, it's the difference between 665 perfect fifths (octave-reduced) and the unison -- but that wouldn't be as devilishly intriguing.&lt;br /&gt;
== Etymology ==
&lt;br /&gt;
This comma was named by [[Marc Jones]] in 1990<ref>[http://www.tonalsoft.com/enc/j/marc-jones-defs.aspx Tonalsoft Encyclopedia | ''tuning terms by Marc Jones'']</ref>.
This difference is inaudible, at only&lt;span class="st"&gt; 0.076&lt;/span&gt; cents. The monzo is |-1054 665&amp;gt;.&lt;br /&gt;
 
&lt;br /&gt;
== Notes ==
It is tempered out in 665 EDO and its multiples (1330 EDO, etc.).&lt;/body&gt;&lt;/html&gt;</pre></div>
 
[[Category:Satanic]]
[[Category:Commas named for the intervals they stack]]

Latest revision as of 08:56, 25 December 2025

Interval information
Factorization 2-1054 × 3665
Monzo [-1054 665⟩
Size in cents 0.07557548¢
Name satanic comma
FJS name [math]\displaystyle{ \text{95d}{-64} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 2108
Weil norm (log2 max(n, d)) 2108
Wilson norm (sopfr(nd)) 4103
Comma size unnoticeable
Open this interval in xen-calc

The satanic comma (monzo: [-1054 665⟩) is the difference between 666 perfect fifths (octave-reduced) and a single perfect fifth. Equivalently, it is the difference between 665 perfect fifths (octave-reduced) and the unison – but that would not be as devilishly intriguing. This difference is inaudible, at only 0.076 ¢.

It is also the difference between 13 Mercator's commas and 2 pythagorean commas, or put simply, the difference between the 359-comma and the 306-comma.

It is tempered out in 665edo and its multiples (1330edo, etc.), with 665edo itself being an 11-strong 3-2 telic system due to tempering this comma out. The next smallest 3-limit comma is the 190537-comma, which is orders of magnitude much smaller and complex.

Etymology

This comma was named by Marc Jones in 1990[1].

Notes

  1. ↑ Tonalsoft Encyclopedia | tuning terms by Marc Jones
Retrieved from "https://en.xen.wiki/index.php?title=Satanic_comma&oldid=219712"