User:Hotcrystal0/Temperaments: Difference between revisions

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=== Tridecapyth ===
=== Tridecapyth ===
Tridecapyth equates a stack of twenty [[3/2]] octave-reduced with [[13/8]], or alternatively two [[pythagorean comma]]s with [[1053/1024]].


[[Subgroup]]: 2.3.13
See [[Tridecapyth comma#Tridecapyth]].
 
[[Comma list]]: 3489660928/3486784401
 
{{Mapping|legend=2| [unfinished] | }}
: mapping generators: ~2, ~3/2
 
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.978{{c}}, ~3/2 = 702.017{{c}}
: [[error map]]: {{val| -0.022, +0.040, -0.011 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.028{{c}}
: error map: {{val| 0.000, +0.073, +0.039 }}
 
{{Optimal ET sequence|legend=1| 12, 29f, 41, 53, 94, 147, 494, 641, 788, 2217, 3005 }}
 
[[Badness]] (Sintel): 0.211


==Rank-3==
==Rank-3==
Line 43: Line 27:
[[Badness]] (Sintel): [to be finished]
[[Badness]] (Sintel): [to be finished]


==Rank-4==
==Commas==
 
{{Infobox Interval|debug=1
|Ratio = 10763703445887/10737418240000
|Monzo = -34 22 -4 3
|Name = Unnamed 159 & 166 & 171 comma
|Comma = yes
}}
 
{{Infobox Interval|debug=1
|Monzo = -79 29 0 13 -1
|Name = Unnamed difference between 13 64/63 and 27/22
|Comma = yes
}}
 
{{Infobox Interval|debug=1
|Ratio = 55788550416/55783203125
|Monzo = 4 20 -9 0 0 -4
|Name = Unnamed difference between 4 325/324 and 81/80
|Comma = yes
}}
 
{{Infobox Interval|debug=1
|Monzo = -55 -26 0 0 0 26
|Name = Unnamed difference between 26 13/12 and 3 octaves
|Comma = yes
}}