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Opossum: Difference between revisions

VisualWikitext
Wikispaces>keenanpepper
**Imported revision 246788043 - Original comment: **
 
m Text replacement - "Eigenmonzo<br>(unchanged-interval)" to "Unchanged interval<br>(eigenmonzo)"
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''Opossum''' is an alternative [[extension]] to [[porcupine]]. It is defined by [[tempering out]] [[28/27]] and [[126/125]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-18 16:32:33 UTC</tt>.<br>
See [[Porcupine family #Opossum]] for technical data.
: The original revision id was <tt>246788043</tt>.<br>
 
: The revision comment was: <tt></tt><br>
== Interval chain ==
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
In the following table, odd harmonics 1–11 and their inverses are in '''bold'''.
<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">See [[Trienstonic clan#Opossum]].</pre></div>
{| class="wikitable center-1 right-2"
<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;Opossum&lt;/title&gt;&lt;/head&gt;&lt;body&gt;See &lt;a class="wiki_link" href="/Trienstonic%20clan#Opossum"&gt;Trienstonic clan&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
! #
! Cents*
! Approximate ratios*
|-
| 0
| 0.0
| '''1/1'''
|-
| 1
| 160.0
| 10/9, 11/10, 12/11, 15/14
|-
| 2
| 320.0
| 6/5, 11/9
|-
| 3
| 480.0
| '''4/3''', 9/7
|-
| 4
| 640.0
| 10/7, '''16/11''', 22/15
|-
| 5
| 800.0
| '''8/5''', 11/7
|-
| 6
| 960.0
| 12/7, '''16/9'''
|-
| 7
| 1120.0
| 40/21, 48/25, 64/33
|-
| 8
| 80.0
| 16/15, 36/35
|-
| 9
| 240.0
| '''8/7'''
|}
<nowiki/>* In 15edo tuning, octave reduced
 
== Tunings ==
{| class="wikitable center-1 mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | Least-squares tunings
|-
! Target
! Generator
! Eigenmonzo
|-
| 5-odd-limit
| ~10/9 = 162.996{{c}}
| 262144/234375
|-
| 7-odd-limit
| ~10/9 = 158.732{{c}}
| {{Monzo| 0 -5 3 19 }}
|-
| 9-odd-limit
| ~12/11 = 159.481{{c}}
| {{Monzo| 0 3 2 22 }}
|-
| 11-odd-limit
| ~12/11 = 159.564{{c}}
| {{Monzo| -27 2 1 9 -1 }}
|-
| 13-odd-limit
| ~12/11 = 158.421{{c}}
| {{Monzo| 0 15 6 34 -1 -15 }}
|-
| 15-odd-limit
| ~12/11 = 159.377{{c}}
| {{Monzo| 0 32 23 35 -5 -21 }}
|}
 
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]]
! Generator (¢)
! Comments
|-
|
| 15/14
| 119.443
|
|-
|
| 13/12
| 138.573
|
|-
|
| 13/11
| 144.605
|
|-
|
| 9/7
| 145.028
|
|-
| 1\8
|
| 150.000
| 8d val, lower bound of 7-odd-limit diamond monotone
|-
|
| 11/6
| 150.637
|
|-
|
| 13/10
| 151.405
|
|-
|
| 13/7
| 153.100
|
|-
|
| 7/5
| 154.372
|
|-
|
| 7/6
| 155.522
|
|-
|
| 11/7
| 156.498
|
|-
| 3\23
|
| 156.522
| 23bcf val
|-
|
| 5/3
| 157.821
|
|-
| 5\38
|
| 157.895
| 38bceff val
|-
| 7\53
|
| 158.491
| 53bcefff val
|-
|
| 15/13
| 158.710
|
|-
|
| 7/4
| 159.019
| 7-, 9-, 11-, 13- and 15-odd-limit minimax
|-
|
| 13/9
| 159.154
|
|-
| 2\15
|
| 160.000
| Upper bound of 7-odd-limit diamond monotone<br>9- and 11-odd-limit diamond monotone (singleton)
|-
|
| 11/8
| 162.171
|
|-
|
| 5/4
| 162.737
| 5-odd-limit minimax
|-
|
| 15/8
| 163.966
|
|-
|
| 11/10
| 165.004
|
|-
|
| 15/11
| 165.762
|
|-
|
| 3/2
| 166.015
|
|-
|
| 11/9
| 173.704
|
|-
|
| 13/8
| 179.736
|
|-
|
| 9/5
| 182.404
|
|}
 
[[Category:Opossum| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Exotemperaments]]
[[Category:Porcupine family]]
[[Category:Trienstonic clan]]
[[Category:Starling temperaments]]
Retrieved from "https://en.xen.wiki/w/Opossum"