Bug and beep: Difference between revisions

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'''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.

{{Infobox regtemp

| Title = Bug / Beep

| Subgroups = 2.3.5, 2.3.5.7

| Comma basis = [[27/25]] (2.3.5); <br>[[21/20]], [[27/25]] (2.3.5.7)

| Edo join 1 = 4 | Edo join 2 = 5

| Mapping = 1; 2 3 1

| Generators = 5/3

| Generators tuning = 938

| Optimization method = CWE

| MOS scales = [[1L 3s]], [[4L 1s]], [[5L 4s]]

| Pergen = (P8, P4/2)

| Color name = Guguti

| Odd limit 1 = 7 | Mistuning 1 = 44.4 | Complexity 1 = 4

| 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'''<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.

As a scale archetype, bug represents [[4L 1s]] and [[5L 4s]], and more generally [[Ploidacot/~~Omega~~-dicot|~~omega~~-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.

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== Notes ==

== References ==

[[Category:Bug| ]]

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-'''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.
+{{Infobox regtemp
+| Title = Bug / Beep
+| Subgroups = 2.3.5, 2.3.5.7
+| Comma basis = [[27/25]] (2.3.5); <br>[[21/20]], [[27/25]] (2.3.5.7)
+| Edo join 1 = 4 | Edo join 2 = 5
+| Mapping = 1; 2 3 1
+| Generators = 5/3
+| Generators tuning = 938
+| Optimization method = CWE
+| MOS scales = [[1L&nbsp;3s]], [[4L&nbsp;1s]], [[5L&nbsp;4s]]
+| Pergen = (P8, P4/2)
+| Color name = Guguti
+| Odd limit 1 = 7 | Mistuning 1 = 44.4 | Complexity 1 = 4
+| 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'''<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.
-As a scale archetype, bug represents [[4L 1s]] and [[5L 4s]], and more generally [[Ploidacot/Omega-dicot|omega-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.
@@ Line 145: / Line 162: @@
 == Notes ==
 <references group="note"/>
+== References ==
 [[Category:Bug| ]] <!-- main article -->