5L 5s: Difference between revisions

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{{Infobox MOS
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| Name = pentawood
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-05-12 13:46:42 UTC</tt>.<br>
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<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">
| Pattern = LsLsLsLsLs
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{{MOS intro}}
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There is only one significant [[harmonic entropy]] minimum with this MOS pattern: [[limmic temperaments#5-limit_.28blackwood.29|blackwood]], in which intervals of the prime numbers [[3/1|3]] and [[7/1|7]] are all represented using steps of [[5edo|5edo]], and the generator reaches intervals of [[5/1|5]], such as [[6/5]], [[5/4]], and [[7/5]].


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In addition to the true MOS form (LsLsLsLsLs and sLsLsLsLsL), there are 6 near-MOS forms, which are also single-alteration [[MODMOS]]ses – LLssLsLsLs, LLssLLssLs, LLsLssLsLs, LLsLssLLss, LLsLsLssLs, LLsLsLsLss – in which the period and its multiples (intervals of 2, 4, 6, and 8 mossteps) have more than two varieties. These forms are proper if the bright generator is less than 160¢.
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== Scale properties ==
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Modes ===
{{MOS mode degrees}}
 
=== Scale tree ===
{{MOS tuning spectrum
| 6/5 = [[Qintosec]]&nbsp;
| 7/5 = [[Warlock]]
| 13/8 = Unnamed golden tuning (148.328{{c}})
| 7/4 = [[Quinkee]]
| 2/1 = [[Blackwood]] (optimal around here)
| 9/4 = [[Trisedodge]]
| 13/5 = Unnamed golden tuning (173.666{{c}})
| 6/1 = [[Cloudtone]]&nbsp;
}}
 
[[Category:Pentawood| ]] <!-- main article -->
[[Category:10-tone scales]]