Ploidacot/Hexacot: Difference between revisions

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{{Infobox ploidacot|Ploids=1|Shears=0|Cots=6|Pergen=[P8, P5/6]|Forms=10, 11, 21, 31|Title=Hexacot|Wedgie=6}}

'''Hexacot''' is a temperament archetype where the generator is a semitone of about 116–118¢, six of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Hexacot temperaments also include all [[Ploidacot/Dicot|dicot]] and [[Ploidacot/Tricot|tricot]] intervals, as the dicot generator is split further into three, or the tricot generator is split further into two. Hexacot temperaments typically generate the [[1L 9s]] and [[10L 1s]] MOS scales, .

'''Hexacot''' is a temperament archetype where the generator is a semitone of about 116–118¢, six of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Hexacot temperaments also include all [[Ploidacot/Dicot|dicot]] and [[Ploidacot/Tricot|tricot]] intervals, as the dicot generator is split further into three, or the tricot generator is split further into two. Hexacot temperaments typically generate the [[1L 9s]] and [[10L 1s]] MOS scales.

== Intervals and notation ==

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| major third

|}

A notable feature of hexacot is the small diesis, known as the [[quark]], encountered after 10 steps, which represents one-third of a diatonic semitone. This makes hexacot scales cluster around [[10edo]].

== Temperament interpretations ==

An obvious interpretation for hexacot is [[miracle]], where the generator is [[16/15]]~[[15/14]], three of them make [[11/9]], and six of them make a perfect fifth. ~~There are some~~ extensions for ~~the 13-limit: miraculous (31 & 41), benediction (31 & 72), and manna (41 & 72)~~.

An obvious interpretation for hexacot is [[miracle]], where the generator is [[16/15]]~[[15/14]], three of them make [[11/9]], and six of them make a perfect fifth. See [[miracle extensions]] for extensions.

[[Category:Ploidacots|Hexacot]]

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 {{Breadcrumb}}
 {{Infobox ploidacot|Ploids=1|Shears=0|Cots=6|Pergen=[P8, P5/6]|Forms=10, 11, 21, 31|Title=Hexacot|Wedgie=6}}
-'''Hexacot''' is a temperament archetype where the generator is a semitone of about 116–118¢, six of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Hexacot temperaments also include all [[Ploidacot/Dicot|dicot]] and [[Ploidacot/Tricot|tricot]] intervals, as the dicot generator is split further into three, or the tricot generator is split further into two. Hexacot temperaments typically generate the [[1L&nbsp;9s]] and [[10L&nbsp;1s]] MOS scales, .
+'''Hexacot''' is a temperament archetype where the generator is a semitone of about 116–118¢, six of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Hexacot temperaments also include all [[Ploidacot/Dicot|dicot]] and [[Ploidacot/Tricot|tricot]] intervals, as the dicot generator is split further into three, or the tricot generator is split further into two. Hexacot temperaments typically generate the [[1L&nbsp;9s]] and [[10L&nbsp;1s]] MOS scales.
 == Intervals and notation ==
@@ Line 259: / Line 259: @@
 | major third
 |}
+A notable feature of hexacot is the small diesis, known as the [[quark]], encountered after 10 steps, which represents one-third of a diatonic semitone. This makes hexacot scales cluster around [[10edo]].
 == Temperament interpretations ==
-An obvious interpretation for hexacot is [[miracle]], where the generator is [[16/15]]~[[15/14]], three of them make [[11/9]], and six of them make a perfect fifth. There are some extensions for the 13-limit: miraculous (31 &amp; 41), benediction (31 &amp; 72), and manna (41 &amp; 72).
+An obvious interpretation for hexacot is [[miracle]], where the generator is [[16/15]]~[[15/14]], three of them make [[11/9]], and six of them make a perfect fifth. See [[miracle extensions]] for extensions.
 [[Category:Ploidacots|Hexacot]]