Mint temperaments: Difference between revisions

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* [[Dominant (temperament)|Dominant]] (+64/63) → [[Meantone family #Dominant|Meantone family]]

* ''[[Armodue (temperament)|Armodue]]'' (+135/128) → [[Mavila family #Armodue|Mavila family]]

* ''[[~~Dicot~~]]'' (+25/24) → [[Dicot family|Dicot family]]

* ''[[Mujannabic]]'' (+25/24) → [[Dicot family #Mujannabic|Dicot family]]

* [[Beep]] (+21/20) → [[Bug family #Beep|Bug family]]

* ''[[August]]'' (+128/125) → [[Augmented family #August|Augmented family]]

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* ''[[Smate]]'' (+2048/1875) → [[Smate family #Septimal smate|Smate family]]

* ''[[Darkstone]]'' (+1875/1792) → [[Magic family #Darkstone|Magic family]]

* ''[[~~Ripple~~]]'' (+2560/2401) → [[Ripple family #~~Septimal ripple~~|Ripple family]]

* ''[[Rip]]'' (+2560/2401) → [[Ripple family #Rip|Ripple family]]

* ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood|Whitewood family]]

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

~~Progression, named~~ by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group | ''Progression temperament'']</ref> can be described as the 8d & 9 temperament, and [[17edo]] is an obvious tuning for it.

Named by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group | ''Progression temperament'']</ref>, progression can be described as the {{nowrap| 8d & 9 }} temperament. It has a generator that is a somewhat flat neutral second, three make [[5/4]], five make [[3/2]], and seven make [[7/4]], with a [[ploidacot]] signature of pentacot. [[17edo]] is an obvious tuning for it.

[[Subgroup]]: 2.3.5.7

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== Subklei ==

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

Subklei is likely named for its flatter minor third generator than [[kleismic]]. It tempers out [[1029/1000]] as well as [[2401/2400]] and can be described as {{nowrap| 17c & 21 }}. Its [[ploidacot]] is delta-hexacot. Note that in the data below, the generator is the [[5/3]][[~]][[12/7]] major sixth, so that six generators minus four octaves give the [[3/2|perfect fifth]].

[[Subgroup]]: 2.3.5.7

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== Naian ==

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

Named by [[Xenllium]] in 2026, naian may be described as {{nowrap| 8d & 21 }} with a [[ploidacot]] signature of epsilon-enneacot.

[[Subgroup]]: 2.3.5.7

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== Slurpee ==

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

Slurpee may be described as the {{nowrap| 16 & 17c }} temperament. It has a generator that is a somewhat flat semitone of [[~]][[21/20]], three make [[8/7]], seven make [[4/3]], and eleven make [[8/5]], with a [[ploidacot]] signature of omega-heptacot.

[[Subgroup]]: 2.3.5.7

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== Shallowtone ==

: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Shallowtone (5-limit)]].''

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 * [[Dominant (temperament)|Dominant]] (+64/63) → [[Meantone family #Dominant|Meantone family]]
 * ''[[Armodue (temperament)|Armodue]]'' (+135/128) → [[Mavila family #Armodue|Mavila family]]
-* ''[[Dicot]]'' (+25/24) → [[Dicot family|Dicot family]]
+* ''[[Mujannabic]]'' (+25/24) → [[Dicot family #Mujannabic|Dicot family]]
 * [[Beep]] (+21/20) → [[Bug family #Beep|Bug family]]
 * ''[[August]]'' (+128/125) → [[Augmented family #August|Augmented family]]
@@ Line 14: / Line 14: @@
 * ''[[Smate]]'' (+2048/1875) → [[Smate family #Septimal smate|Smate family]]
 * ''[[Darkstone]]'' (+1875/1792) → [[Magic family #Darkstone|Magic family]]
-* ''[[Ripple]]'' (+2560/2401) → [[Ripple family #Septimal ripple|Ripple family]]
+* ''[[Rip]]'' (+2560/2401) → [[Ripple family #Rip|Ripple family]]
 * ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood|Whitewood family]]
@@ Line 41: / Line 41: @@
 : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Lafayette]].''
-Progression, named by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group | ''Progression temperament'']</ref> can be described as the 8d & 9 temperament, and [[17edo]] is an obvious tuning for it.
+Named by [[Gene Ward Smith]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18891.html Yahoo! Tuning Group | ''Progression temperament'']</ref>, progression can be described as the {{nowrap| 8d & 9 }} temperament. It has a generator that is a somewhat flat neutral second, three make [[5/4]], five make [[3/2]], and seven make [[7/4]], with a [[ploidacot]] signature of pentacot. [[17edo]] is an obvious tuning for it.
 [[Subgroup]]: 2.3.5.7
@@ Line 122: / Line 122: @@
 == Subklei ==
 : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Delorean]].''
+Subklei is likely named for its flatter minor third generator than [[kleismic]]. It tempers out [[1029/1000]] as well as [[2401/2400]] and can be described as {{nowrap| 17c & 21 }}. Its [[ploidacot]] is delta-hexacot. Note that in the data below, the generator is the [[5/3]][[~]][[12/7]] major sixth, so that six generators minus four octaves give the [[3/2|perfect fifth]].
 [[Subgroup]]: 2.3.5.7
@@ Line 202: / Line 204: @@
 == Naian ==
 : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Naian]].''
+Named by [[Xenllium]] in 2026, naian may be described as {{nowrap| 8d & 21 }} with a [[ploidacot]] signature of epsilon-enneacot.
 [[Subgroup]]: 2.3.5.7
@@ Line 267: / Line 271: @@
 == Slurpee ==
 : ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Slurpee]].''
+Slurpee may be described as the {{nowrap| 16 & 17c }} temperament. It has a generator that is a somewhat flat semitone of [[~]][[21/20]], three make [[8/7]], seven make [[4/3]], and eleven make [[8/5]], with a [[ploidacot]] signature of omega-heptacot.
 [[Subgroup]]: 2.3.5.7
@@ Line 316: / Line 322: @@
 == Shallowtone ==
+{{Main| Shallowtone }}
 : ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Shallowtone (5-limit)]].''