Bug and beep: Difference between revisions

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'''~~Beep~~''' is a remarkable low-complexity, though high-badness ~~[[7-limit]] [[temperament~~]]~~. It is also called '''titanium''' by~~ [[~~Mason Green~~]].

'''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''', a.k.a. '''titanium'''<ref group="note">Alias given 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.

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.

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! #

! Cents*

! Approximate ~~Ratios~~

! Approximate ratios

|-

| 0

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| 15/8

|}

<nowiki />* ~~Octave reduced, in~~ 7-limit CTE tuning

<nowiki/>* In 7-limit CTE tuning, octave reduced

== Chords and harmony ==

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|-

! Cents

! Generator ~~Steps~~

! Generator steps

|-

| 0

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{| class="wikitable center-all left-4"

|-

! Edo<br>~~Generator~~ !! Eigenmonzo<br>(~~Unchanged~~-interval) !! Generator (¢) !! Comments

! Edo<br>generator !! Eigenmonzo<br>(unchanged-interval) !! Generator (¢) !! Comments

|-

| || 5/3 || 884.3 ||

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== Notes ==

[[Category:Bug| ]]

[[Category:Beep| ]]

[[Category:Rank-2 temperaments]]

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-'''Beep''' is a remarkable low-complexity, though high-badness [[7-limit]] [[temperament]]. It is also called '''titanium''' by [[Mason Green]].
+'''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''', a.k.a. '''titanium'''<ref group="note">Alias given 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.
-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.
@@ Line 14: / Line 12: @@
 ! #
 ! Cents*
-! Approximate Ratios
+! Approximate ratios
 |-
 | 0
@@ Line 40: / Line 38: @@
 | 15/8
 |}
-<nowiki />* Octave reduced, in 7-limit CTE tuning
+<nowiki/>* In 7-limit CTE tuning, octave reduced
 == Chords and harmony ==
@@ Line 52: / Line 50: @@
 |-
 ! Cents
-! Generator Steps
+! Generator steps
 |-
 | 0
@@ Line 114: / Line 112: @@
 {| class="wikitable center-all left-4"
 |-
-! Edo<br>Generator !! Eigenmonzo<br>(Unchanged-interval) !! Generator (¢) !! Comments
+! Edo<br>generator !! Eigenmonzo<br>(unchanged-interval) !! Generator (¢) !! Comments
 |-
 | || 5/3 || 884.3 ||
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 |}
+== Notes ==
+<references group="note"/>
+[[Category:Bug| ]] <!-- main article -->
 [[Category:Beep| ]] <!-- main article -->
 [[Category:Rank-2 temperaments]]