Marvel temperaments: Difference between revisions
- CTE & POTE tunings |
Intro to certain entries |
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: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Wizard]].'' | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Wizard]].'' | ||
Wizard has a semi-octave period and is generated by an interval that | Wizard has a [[semi-octave]] period and is generated by an interval that can be treated as [[~]][[17/15]]. The semi-octave complement of this interval is ~[[5/4]]. Wizard can be described as {{nowrap| 22 & 72 }}. Its [[ploidacot]] is diploid alpha-hexacot, so six generator steps plus a semi-octave period gives the [[3/1|perfect twelfth]]. [[72edo]], [[94edo]], and especially [[166edo]] are good tunings for it. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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== Tritonic == | == Tritonic == | ||
: ''For the 5-limit version | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tritonic]].'' | ||
Tritonic tempers out [[50421/50000]] and may be described as the {{nowrap| 29 & 31 }} temperament. It splits the [[6/1|6th]] [[harmonic]] into five generators of [[~]][[10/7]] [[tritone]]s, hence the name. Its [[ploidacot]] is beta-pentacot. [[60edo]] may be used as a tuning, which in the 11-limit entails the 60e val. | |||
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== Septimin == | == Septimin == | ||
: ''For the 5-limit version | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Septimin]].'' | ||
Septimin may be described as the {{nowrap| 41 & 50 }} temperament. It is generated by a septimal minor third ([[7/6]]), which gives rise to the name, but the generator can be taken to be the [[octave complement]], [[12/7]], such that eleven of them [[octave reduction|octave reduced]] give the [[3/2|perfect fifth]]; its [[ploidacot]] is thus eta-hendecacot. [[91edo]] may be recommended as a tuning. | |||
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== Merman == | == Merman == | ||
: ''For the 5-limit version | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Merman]].'' | ||
Merman may be described as the {{nowrap| 41 & 43 }} temperament. Like [[#Tritonic|tritonic]], it is generated by a [[~]][[10/7]] [[tritone]], but here, seven generator steps give the [[interval class]] of [[3/1|3]]. The [[ploidacot]] for this temperament is gamma-heptacot. | |||
The name was likely derived from {{w|Triton (mythology)|''Triton''}}, which was in turn derived from ''tritonic''. | |||
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== Slender == | == Slender == | ||
Slender | Slender tempers out the [[hewuermera comma]] in addition to the marvel comma, and may be described as the {{nowrap| 31 & 32 }} temperament. This temperament has a generator of [[49/48]], three of which equal marvel's [[16/15]][[~]][[15/14]], and ten generators give [[5/4]]. Its [[ploidacot]] is omega-13-cot. | ||
The name was likely derived from ''slendro diesis'', one of the names for the interval 49/48. | |||
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== Triton == | == Triton == | ||
: ''For the 5-limit version | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Stump]].'' | ||
Triton may be described as the {{nowrap| 19 & 21 }} temperament. Like [[#Tritonic|tritonic]], it is generated by a [[~]][[10/7]] [[tritone]], but here, three generator steps give the [[interval class]] of [[3/1|3]]. The [[ploidacot]] for this temperament is alpha-tricot. | |||
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== Gracecordial == | == Gracecordial == | ||
: ''For the 5-limit version | : ''For the 5-limit version, see [[Schismic–Pythagorean equivalence continuum #Gracecordial (5-limit)]].'' | ||
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== Misneb == | == Misneb == | ||
: ''For the 5-limit version | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Misneb]].'' | ||
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== Untriton == | == Untriton == | ||
: ''For the 5-limit version | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Untriton]].'' | ||
Named by [[Petr Pařízek]] in 2011<ref name="petr's long post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>, untriton may be described as the {{nowrap| 51 & 53 }} temperament. Like [[#Tritonic|tritonic]], it is generated by a [[~]][[10/7]] [[tritone]], but here, nine generator steps give the [[interval class]] of [[3/1|3]]. The [[ploidacot]] for this temperament is delta-enneacot. | |||
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== Naiadical == | == Naiadical == | ||
Named by [[Xenllium]] in 2026, naiadical may be described as the {{nowrap| 21 & 29 }} temperament. | |||
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== Quintannic == | == Quintannic == | ||
Named by [[Scott Dakota]], quintannic may be described as the {{nowrap| 43 & 60 }} temperament. | |||
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== Gwazy == | == Gwazy == | ||
: ''For the 5-limit version, see [[Very high accuracy temperaments #Kwazy]].'' | |||
Named by [[Petr Pařízek]] in 2011<ref name="petr's long post"/>, gwazy may be described as the {{nowrap| 22 & 74 }} temperament. | |||
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== Tertiosec == | == Tertiosec == | ||
: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tertiosec]].'' | : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tertiosec]].'' | ||
Tertiosec may be described as the {{nowrap| 21 & 75 }} temperament. It was initially named ''tertiomar'' by [[Petr Pařízek]] in 2011<ref name="petr's long post"/>, but was changed to ''tertiosec''. | |||
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Badness (Sintel): 5.74 | Badness (Sintel): 5.74 | ||
== References == | |||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Marvel temperaments| ]] <!-- main article --> | [[Category:Marvel temperaments| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||