Mint temperaments: Difference between revisions

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~~These are~~ low complexity, high error temperaments tempering out the septimal quarter-tone, [[36/35]]. 36 is [[Wikipedia: Square triangular number|both]] a [http://mathworld.wolfram.com/SquareNumber.html square] and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance. Temperaments ~~tempering it out~~ include [[Bug family #Beep|~~beep~~]], [[Dicot family|~~dicot~~]], [[Meantone family #Dominant|~~dominant~~]], [[Father family|~~father~~]], [[Dimipent family #Diminished|~~diminished~~]], [[Augmented family #August|~~august~~]], ~~hystrix~~, ~~penta~~, ~~hexadecimal~~, ~~ripple~~ and ~~gorgo~~.

This is a collection of low complexity, high error temperaments tempering out the septimal quarter-tone, [[36/35]]. 36 is [[Wikipedia: Square triangular number|both]] a [http://mathworld.wolfram.com/SquareNumber.html square] and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance.

Temperaments discussed elsewhere include

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

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

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

* ''[[Father]]'' (+16/15) → [[Father family #Septimal father|Father family]]

* ''[[Diminished]]'' (+50/49) → [[Dimipent family #Diminished|Dimipent family]]

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

* ''[[Hystrix]]'' (+160/147) → [[Porcupine family #Hystrix|Porcupine family]]

* ''[[Hexadecimal]]'' (+135/128) → [[Pelogic family|Pelogic family]]

* ''[[Gorgo]]'' (+1029/1024) → [[Gamelismic clan #Gorgo|Gamelismic clan]]

Considered below are progression, ripple, smate, subklei, slurpee, and penta.

== Progression ==

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-These are low complexity, high error temperaments tempering out the septimal quarter-tone, [[36/35]]. 36 is [[Wikipedia: Square triangular number|both]] a [http://mathworld.wolfram.com/SquareNumber.html square] and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include [[Bug family #Beep|beep]], [[Dicot family|dicot]], [[Meantone family #Dominant|dominant]], [[Father family|father]], [[Dimipent family #Diminished|diminished]], [[Augmented family #August|august]], hystrix, penta, hexadecimal, ripple and gorgo.
+This is a collection of low complexity, high error temperaments tempering out the septimal quarter-tone, [[36/35]]. 36 is [[Wikipedia: Square triangular number|both]] a [http://mathworld.wolfram.com/SquareNumber.html square] and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance.
+Temperaments discussed elsewhere include
+* ''[[Beep]]'' (+21/20) → [[Bug family #Beep|Bug family]]
+* ''[[Dicot]]'' (+25/24) → [[Dicot family|Dicot family]]
+* ''[[Dominant]]'' (+64/63) → [[Meantone family #Dominant|Meantone family]]
+* ''[[Father]]'' (+16/15) → [[Father family #Septimal father|Father family]]
+* ''[[Diminished]]'' (+50/49) → [[Dimipent family #Diminished|Dimipent family]]
+* ''[[August]]'' (+128/125) → [[Augmented family #August|Augmented family]]
+* ''[[Hystrix]]'' (+160/147) → [[Porcupine family #Hystrix|Porcupine family]]
+* ''[[Hexadecimal]]'' (+135/128) → [[Pelogic family|Pelogic family]]
+* ''[[Gorgo]]'' (+1029/1024) → [[Gamelismic clan #Gorgo|Gamelismic clan]]
+Considered below are progression, ripple, smate, subklei, slurpee, and penta.
 == Progression ==