Jubilismic clan: Difference between revisions

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== Astrology ==

[[:de:Magische_Temperaturen#Astrology|Deutsch]]

~~[[:de:Magische_Temperaturen#Astrology|Deutsch]]~~

Astrology tempers out 3125/3072, the magic comma, and a stack of five ~5/4 generators gives an approximate harmonic 3. It may be described as the {{nowrap| 16 & 22 }} temperament; its ploidacot is diploid pentacot.

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== Doublewide ==

: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Doublewide ~~(5-limit)~~]].''

: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Doublewide]].''

Doublewide is generated by a sharply tuned ~6/5 minor third, four of which and a semi-octave period give the 3rd harmonic~~. It may be described as the {{nowrap| 22 & 26 }} temperament;~~ its ploidacot is diploid alpha-tetracot. An 11-limit extension is immediately available by identifying two generator steps as ~16/11. [[48edo]] makes for an excellent tuning.

Doublewide tempers out not only the keema, [[875/864]], but the orwellisma, [[1728/1715]], and may be described as the {{nowrap| 22 & 26 }} temperament. It is the unique temperament that equates the classical chroma ([[25/24]]), the large septimal diesis ([[49/48]]), and the interval between the classical and septimal thirds ([[36/35]]). It is generated by a sharply tuned [[~]][[6/5]] minor third, four of which and a [[semi-octave]] period give the [[3/1|3rd]] [[harmonic]], so its [[ploidacot]] is diploid alpha-tetracot. An [[11-limit]] extension is immediately available by identifying two generator steps as ~[[16/11]]. [[48edo]] makes for an excellent tuning.

[[Subgroup]]: 2.3.5.7

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== Subgroup extensions ==

=== Antikythera (2.9.5.7) ===

~~Named~~ by [[~~Gene Ward Smith~~]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101481.html Yahoo! Tuning Group | ''Antikythera'']</ref>~~, antikythera is every other step of [[pajara]]~~.

Antikythera is every other step of [[pajara]]. It was allegedly named by [[Keenan Pepper]] in 2011 after the {{w|Antikythera mechanism}} for its association with [[astrology]] and [[machine]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101481.html Yahoo! Tuning Group | ''Antikythera'']</ref>.

[[Subgroup]]: 2.9.5.7

@@ Line 100: / Line 100: @@
 == Astrology ==
+[[:de:Magische_Temperaturen#Astrology|Deutsch]]
 {{see also| Magic family }}
-[[:de:Magische_Temperaturen#Astrology|Deutsch]]
 Astrology tempers out 3125/3072, the magic comma, and a stack of five ~5/4 generators gives an approximate harmonic 3. It may be described as the {{nowrap| 16 & 22 }} temperament; its ploidacot is diploid pentacot.
@@ Line 209: / Line 209: @@
 == Doublewide ==
-: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Doublewide (5-limit)]].''
+: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Doublewide]].''
-Doublewide is generated by a sharply tuned ~6/5 minor third, four of which and a semi-octave period give the 3rd harmonic. It may be described as the {{nowrap| 22 & 26 }} temperament; its ploidacot is diploid alpha-tetracot. An 11-limit extension is immediately available by identifying two generator steps as ~16/11. [[48edo]] makes for an excellent tuning.
+Doublewide tempers out not only the keema, [[875/864]], but the orwellisma, [[1728/1715]], and may be described as the {{nowrap| 22 & 26 }} temperament. It is the unique temperament that equates the classical chroma ([[25/24]]), the large septimal diesis ([[49/48]]), and the interval between the classical and septimal thirds ([[36/35]]). It is generated by a sharply tuned [[~]][[6/5]] minor third, four of which and a [[semi-octave]] period give the [[3/1|3rd]] [[harmonic]], so its [[ploidacot]] is diploid alpha-tetracot. An [[11-limit]] extension is immediately available by identifying two generator steps as ~[[16/11]]. [[48edo]] makes for an excellent tuning.
 [[Subgroup]]: 2.3.5.7
@@ Line 484: / Line 484: @@
 == Subgroup extensions ==
 === Antikythera (2.9.5.7) ===
-Named by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101481.html Yahoo! Tuning Group | ''Antikythera'']</ref>, antikythera is every other step of [[pajara]].
+Antikythera is every other step of [[pajara]]. It was allegedly named by [[Keenan Pepper]] in 2011 after the {{w|Antikythera mechanism}} for its association with [[astrology]] and [[machine]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101481.html Yahoo! Tuning Group | ''Antikythera'']</ref>.
 [[Subgroup]]: 2.9.5.7