Bug and beep: Difference between revisions

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It [[tempering out|tempers out]] [[27/25]] and is part of the [[bug family]]; as such, [[6/5]] and [[10/9]] are represented by the same interval which, in fact, is the [[generator]]. It also 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 [[slendro clan]]. As such, the generator also represents [[7/6]] and [[8/7]]. Two of these generators make a very sharp [[4/3|fourth]] which is also a very flat [[7/5]]. 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 [[pelogic]] 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.
It [[tempering out|tempers out]] [[27/25]] and is part of the [[bug family]]; as such, [[6/5]] and [[10/9]] are represented by the same interval which, in fact, is the [[generator]]. It also 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 [[slendro clan]]. As such, the generator also represents [[7/6]] and [[8/7]]. Two of these generators make a very sharp [[4/3|fourth]] which is also a very flat [[7/5]]. 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 [[pelogic]] 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.
 
See [[Bug family #Bug]] and [[Bug family #Beep|#Beep]] for technical data.  


== Interval chain ==
== Interval chain ==