Bug and beep: Difference between revisions
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| Mapping = 1; 2 3 1 | | Mapping = 1; 2 3 1 | ||
| Generators = 5/3 | | Generators = 5/3 | ||
| Generators tuning = 938 | | Generators tuning = 938 | ||
| Optimization method = CWE | | Optimization method = CWE | ||
| MOS scales = [[1L 3s]], [[4L 1s]], [[5L 4s]] | | MOS scales = [[1L 3s]], [[4L 1s]], [[5L 4s]] | ||
| Line 14: | Line 14: | ||
| Odd limit 2 = 9 | Mistuning 2 = 72.6 | Complexity 2 = 5 | | Odd limit 2 = 9 | Mistuning 2 = 72.6 | Complexity 2 = 5 | ||
}} | }} | ||
'''Bug''' is a remarkable [[complexity|low-complexity]], though [[badness|high-badness]] [[exotemperament]]. It [[tempering out|tempers out]] [[27/25]] and is part of the [[bug family]]; as such, [[5/3]] and [[9/5]] are represented by the same interval which, in fact, is the [[generator]]. With the [[7-limit]] [[extension]] called '''beep | '''Bug''' is a remarkable [[complexity|low-complexity]], though [[badness|high-badness]] [[exotemperament]]. It [[tempering out|tempers out]] [[27/25]] and is part of the [[bug family]]; as such, [[5/3]] and [[9/5]] are represented by the same interval which, in fact, is the [[generator]]. With the [[7-limit]] [[extension]] called '''beep'''<ref group="note">Aliased ''titanium'' by [[Mason Green]]. </ref>, it tempers out the [[21/20|septimal minor semitone (21/20)]], making it a [[septisemi temperaments|septisemi temperament]], and the [[49/48|slendro diesis (49/48)]], making it part of the [[semaphoresmic clan]]. As such, the generator also represents [[7/4]] and [[12/7]]. Two of these generators make a very flat [[3/2|fifth]] which is also a very sharp [[10/7]]. Two fifths make a second that is neutral in [[interval quality|quality]], so a good tuning typically has a ''negative'' [[syntonic comma]]. Since three fifths make a sixth that sounds minor, and four make a third that sounds minor, it is also similar to the [[mavila]] temperament ([[superpelog]] in particular). Finally it can be also considered a sort of messed-up variant of [[orwell]] temperament as well, since the generator falls into the same range of sizes. | ||
The edos whose [[patent val]]s support beep are [[4edo]], [[5edo]], [[9edo]], and [[14edo]]. Many other edos can be used as non-patent vals, such as 13. | The edos whose [[patent val]]s support beep are [[4edo]], [[5edo]], [[9edo]], and [[14edo]]. Many other edos can be used as non-patent vals, such as 13. | ||
As a scale archetype, bug represents [[4L 1s]] and [[5L 4s]], and more generally [[Ploidacot/Alpha-dicot|alpha-dicot]]. | As a scale archetype, bug represents [[4L 1s]] and [[5L 4s]], and more generally [[Ploidacot/Alpha-dicot|alpha-dicot]]. | ||
The name ''beep'' was attested as early as at least January, 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8809.html Yahoo! Tuning Group | ''114 7-limit temperaments'']</ref>, and is likely a reference to the smallest step of the [[Bohlen–Pierce]] scale. | |||
See [[Bug family #Bug]] and [[Bug family #Beep|#Beep]] for technical data. | See [[Bug family #Bug]] and [[Bug family #Beep|#Beep]] for technical data. | ||
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== Notes == | == Notes == | ||
<references group="note"/> | <references group="note"/> | ||
== References == | |||
[[Category:Bug| ]] <!-- main article --> | [[Category:Bug| ]] <!-- main article --> | ||