Xenharmonic Wiki

98edo: Difference between revisions

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**Imported revision 338508316 - Original comment: **
 
Move Music section below Instruments to conform to most other EDO pages; add Bryan Deister's ''98edo prelude'' (2025); add Lumatone mapping for 98edo page
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox ET}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-22 17:22:58 UTC</tt>.<br>
 
: The original revision id was <tt>338508316</tt>.<br>
== Theory ==
: The revision comment was: <tt></tt><br>
The [[patent val]] of 98edo has a flat [[3/1|3]], a sharp [[5/1|5]] and a slightly flat [[7/1|7]], and [[tempering out|tempers out]] [[81/80]] in the 5-limit, making it a system of [[meantone family]] with a 4-cent-flat fifth. In the 7-limit it tempers out [[1029/1024]], [[1728/1715]], [[support]]ing [[mothra]] temperament, in the 11-limit [[176/175]] and [[540/539]], supporting [[mosura]], and in the 13-limit [[144/143]] and [[196/195]]. It provides the optimal patent val for 13-limit mosura temperament.
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 
<h4>Original Wikitext content:</h4>
=== Odd harmonics ===
<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 98 equal temperament divides the octave into 98 equal parts of 12.245 cents each. The patent val has a flat 3, a sharp 5 and a slightly flat 7, and tempers out 81/80 in the 5-limit, making it a meantone system with a 4 cent flat fifth. In the 7-limit it tempers out 1029/1024, 1728/1715, supporting mothra temperament, in the 11-limit 176/175 and 540/539, supporting mosura, and in the 13-limit 144/143 and 196/195. It provides the optimal patent val for 13-limit [[Meantone family#Mothra-Mosura-13-limit|mosura temperament]].</pre></div>
{{Harmonics in equal|98}}
<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;98edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 98 equal temperament divides the octave into 98 equal parts of 12.245 cents each. The patent val has a flat 3, a sharp 5 and a slightly flat 7, and tempers out 81/80 in the 5-limit, making it a meantone system with a 4 cent flat fifth. In the 7-limit it tempers out 1029/1024, 1728/1715, supporting mothra temperament, in the 11-limit 176/175 and 540/539, supporting mosura, and in the 13-limit 144/143 and 196/195. It provides the optimal patent val for 13-limit &lt;a class="wiki_link" href="/Meantone%20family#Mothra-Mosura-13-limit"&gt;mosura temperament&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
=== Subsets and supersets ===
Since 98 factors into {{factorization|98}}, 98edo has subset edos {{EDOs| 2, 7, 14, and 49 }}.
 
== Intervals ==
{{Interval table}}
 
== Instruments ==
=== Keyboards ===
[[Lumatone mapping for 98edo|Lumatone mappings for 98edo]] are available.
 
=== Skip fretting ===
'''Skip fretting system 98 9 11''' is a [[skip fretting]] system for [[98edo]]. All examples on this page are for 7-string [[guitar]].
 
; Odd harmonics
 
1/1: string 2 open
 
2/1: string 6 fret 6
 
3/2: string 3 fret 16
 
5/4: string 4 fret 12
 
7/4: string 1 fret 10
 
9/8: string 1 fret 14
 
11/8: string 2 fret 5 and string 6 fret 11
 
13/8: string 5 fret 4
 
15/8: string 6 fret 5
 
17/16: string 2 fret 1
 
19/16: string 4 fret 22
 
21/16: string 3 fret 3
 
23/16: string 5 fret 2
 
25/16: string 2 fret 7
 
== Music ==
; [[Bryan Deister]]
* [https://www.youtube.com/watch?v=pR4li7aIUZE ''microtonal improvisation in 98edo''] (2023)
* [https://www.youtube.com/shorts/4NR3KFBd720 ''98edo waltz''] (2025)
* [https://www.youtube.com/shorts/EUR8t8ynORg ''98edo prelude''] (2025)
 
[[Category:Mothra]]
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/98edo"