5L 5s: Difference between revisions

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{{Interwiki

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| en = 5L 5s

| es = Escala Blackwood

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{{Infobox MOS

| Name = pentawood

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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]].

There is only one significant [[harmonic entropy]] minimum with this mos pattern: [[blackwood]], in which intervals of the prime numbers [[3/1|3]] and [[7/1|7]] are all represented using steps of [[5edo]], and the generator reaches intervals of [[5/1|5]], such as [[6/5]], [[5/4]], and [[7/5]].

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¢~~.

In addition to the true mos form (LsLsLsLsLs and sLsLsLsLsL), there are 6 near-mos forms, which are also single-alteration [[modmos]] scales – 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{{c}}.

== Scale properties ==

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+{{Interwiki
+| de =
+| en = 5L 5s
+| es = Escala Blackwood
+| ja =
+}}
 {{Infobox MOS
 | Name = pentawood
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 {{MOS intro}}
-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]].
+There is only one significant [[harmonic entropy]] minimum with this mos pattern: [[blackwood]], in which intervals of the prime numbers [[3/1|3]] and [[7/1|7]] are all represented using steps of [[5edo]], and the generator reaches intervals of [[5/1|5]], such as [[6/5]], [[5/4]], and [[7/5]].
-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¢.
+In addition to the true mos form (LsLsLsLsLs and sLsLsLsLsL), there are 6 near-mos forms, which are also single-alteration [[modmos]] scales – 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{{c}}.
 == Scale properties ==