Misty family: Difference between revisions

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The '''misty family''' tempers out the [[misty comma]], 67108864/66430125 = {{monzo| 26 -12 -3 }}.
The '''misty family''' tempers out the [[misty comma]], 67108864/66430125 = {{monzo| 26 -12 -3 }}.


== Misty ==
== Misty ==
Subgroup: 2.3.5
Subgroup: 2.3.5


Line 14: Line 14:
[[Badness]]: 0.106540
[[Badness]]: 0.106540


=== 7-limit ===
=== Extensions ===
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 septimal misty.
* Adding 225/224 (marvel) leads fog.
 
== Septimal misty ==
{{see also|Hemimean clan #Misty}}
{{see also|Hemimean clan #Misty}}


Line 31: Line 36:
[[Badness]]: 0.036802
[[Badness]]: 0.036802


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 44: Line 49:
Badness: 0.035932
Badness: 0.035932


==== 13-limit ====
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 57: Line 62:
Badness: 0.027820
Badness: 0.027820


===== 17-limit =====
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Line 70: Line 75:
Badness: 0.023908
Badness: 0.023908


===== 19-limit =====
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Line 83: Line 88:
Badness: 0.019878
Badness: 0.019878


==== Mystic ====
==== Mystic ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 96: Line 101:
Badness: 0.036872
Badness: 0.036872


=== Hemimist ===
=== Hemimist ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 109: Line 114:
Badness: 0.047439
Badness: 0.047439


==== 13-limit ====
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 122: Line 127:
Badness: 0.022923
Badness: 0.022923


== Fog ==
== Fog ==
The ''fog'' temperament (12&63, named by [[User:Xenllium|Xenllium]]) tempers out the [[225/224|marvel comma]] 225/224.
The ''fog'' temperament (12&63) tempers out the [[225/224|marvel comma]] 225/224.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 139: Line 144:
[[Badness]]: 0.086866
[[Badness]]: 0.086866


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11