Misty: Difference between revisions

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'''Misty''' is the [[regular temperament]] [[tempering out]] the [[misty comma]]. It equates the [[Pythagorean comma]] with the [[diesis]], and splits this interval into three equal parts, one representing the [[schisma]]~[[diaschisma]], and two representing the [[syntonic comma]]. Consequently, the octave is also split into three parts of [[512/405]] each. This temperament, supported by [[12edo|12et]], is notably in the [[~~schismic-Pythagorean~~ equivalence continuum]], with ''n'' = 3.

'''Misty''' is the [[regular temperament]] [[tempering out]] the [[misty comma]]. It equates the [[Pythagorean comma]] with the [[diesis]], and splits this interval into three equal parts, one representing the [[schisma]]~[[diaschisma]], and two representing the [[syntonic comma]]. Consequently, the octave is also split into three parts of [[512/405]] each. This temperament, supported by [[12edo|12et]], is notably in the [[schismic–Pythagorean equivalence continuum]], with {{nowrap|''n'' {{=}} 3}}.

In the 7-limit, the canonical extension tempers out [[3136/3125]] and [[5120/5103]]. Possible tunings include [[87edo]], [[99edo]] and [[111edo]].

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== Interval chain ==

{| class="wikitable center-1 right-2"

|-

! rowspan="2" | #

! colspan="2" | Period 0

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| 125/63, 448/225

|}

<nowiki>*~~</nowiki> in~~ 7-limit CTE tuning

<nowiki />* In 7-limit CTE tuning

== Tunings ==

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{| class="wikitable center-all left-4"

|-

! Edo<br>Generator

! [[Eigenmonzo|Eigenmonzo<br>(~~Unchanged~~-interval)]]

! [[Eigenmonzo|Eigenmonzo<br>(rnchanged-interval)]]

! Generator<br>(¢)

! Comments

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-'''Misty''' is the [[regular temperament]] [[tempering out]] the [[misty comma]]. It equates the [[Pythagorean comma]] with the [[diesis]], and splits this interval into three equal parts, one representing the [[schisma]]~[[diaschisma]], and two representing the [[syntonic comma]]. Consequently, the octave is also split into three parts of [[512/405]] each. This temperament, supported by [[12edo|12et]], is notably in the [[schismic-Pythagorean equivalence continuum]], with ''n'' = 3.
+'''Misty''' is the [[regular temperament]] [[tempering out]] the [[misty comma]]. It equates the [[Pythagorean comma]] with the [[diesis]], and splits this interval into three equal parts, one representing the [[schisma]]~[[diaschisma]], and two representing the [[syntonic comma]]. Consequently, the octave is also split into three parts of [[512/405]] each. This temperament, supported by [[12edo|12et]], is notably in the [[schismic–Pythagorean equivalence continuum]], with {{nowrap|''n'' {{=}} 3}}.
 In the 7-limit, the canonical extension tempers out [[3136/3125]] and [[5120/5103]]. Possible tunings include [[87edo]], [[99edo]] and [[111edo]].
@@ Line 7: / Line 7: @@
 == Interval chain ==
 {| class="wikitable center-1 right-2"
+|-
 ! rowspan="2" | #
 ! colspan="2" | Period 0
@@ Line 59: / Line 60: @@
 | 125/63, 448/225
 |}
-<nowiki>*</nowiki> in 7-limit CTE tuning
+<nowiki />* In 7-limit CTE tuning
 == Tunings ==
@@ Line 68: / Line 69: @@
 {| class="wikitable center-all left-4"
+|-
 ! Edo<br>Generator
-! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
+! [[Eigenmonzo|Eigenmonzo<br>(rnchanged-interval)]]
 ! Generator<br>(¢)
 ! Comments