Misty family: Difference between revisions

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The '''misty family''' tempers out the [[misty comma]]~~, 67108864/66430125 =~~ {{monzo| 26 -12 -3 }}, ~~equating the [[Pythagorean comma]] with a stack of three [[schisma]]s, making it a member of the~~ [[~~schismic–Pythagorean equivalence continuum~~]]~~. It features a third-octave period, which is represented by [[512~~/~~405]] and acts as the interval separating ~[[128/81]] from ~[[5/4]].~~

The '''misty family''' [[tempering out|tempers out]] the [[misty comma]] ({{monzo|legend=1| 26 -12 -3 }}, [[ratio]]: 67108864/66430125).

~~The second comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 7-limit family member we are looking at.~~

* Adding 3136/3125 (hemimean) leads to septimal misty.

* Adding 225/224 (marvel) ~~leads to fog~~.

== Misty ==

Misty features a third-octave period, which is represented by [[512/405]] and acts as the interval separating ~[[128/81]] from ~[[5/4]]. It also equates the [[Pythagorean comma]] with a stack of three [[schisma]]s, making it a member of the [[schismic–Pythagorean equivalence continuum]] with {{nowrap| ''n'' {{=}} 3 }}.

[[Subgroup]]: 2.3.5

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[[Badness]]: 0.106540

=== Overview to extensions ===

The second comma of the [[normal forms #Normal forms for commas|normal comma list]] defines which 7-limit family member we are looking at.

* Adding 3136/3125 (hemimean) leads to septimal misty.

* Adding 225/224 (marvel) leads to fog.

== Septimal misty ==

@@ Line 1: / Line 1: @@
 {{Technical data page}}
-The '''misty family''' tempers out the [[misty comma]], 67108864/66430125 = {{monzo| 26 -12 -3 }}, equating the [[Pythagorean comma]] with a stack of three [[schisma]]s, making it a member of the [[schismic–Pythagorean equivalence continuum]]. It features a third-octave period, which is represented by [[512/405]] and acts as the interval separating ~[[128/81]] from ~[[5/4]].
+The '''misty family''' [[tempering out|tempers out]] the [[misty comma]] ({{monzo|legend=1| 26 -12 -3 }}, [[ratio]]: 67108864/66430125).
-The second comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 7-limit family member we are looking at.
-* Adding 3136/3125 (hemimean) leads to septimal misty.
-* Adding 225/224 (marvel) leads to fog.
 == Misty ==
 {{Main| Misty }}
+Misty features a third-octave period, which is represented by [[512/405]] and acts as the interval separating ~[[128/81]] from ~[[5/4]]. It also equates the [[Pythagorean comma]] with a stack of three [[schisma]]s, making it a member of the [[schismic–Pythagorean equivalence continuum]] with {{nowrap| ''n'' {{=}} 3 }}.
 [[Subgroup]]: 2.3.5
@@ Line 24: / Line 22: @@
 [[Badness]]: 0.106540
+=== Overview to extensions ===
+The second comma of the [[normal forms #Normal forms for commas|normal comma list]] defines which 7-limit family member we are looking at.
+* Adding 3136/3125 (hemimean) leads to septimal misty.
+* Adding 225/224 (marvel) leads to fog.
 == Septimal misty ==