Whitewood family: Difference between revisions

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Lastly, while blackwood fifths are sharp and thus necessitate the tuning as a whole to be sharp-leaning, whitewood fifths are flat and thus this tuning is generally flat-leaning.
Lastly, while blackwood fifths are sharp and thus necessitate the tuning as a whole to be sharp-leaning, whitewood fifths are flat and thus this tuning is generally flat-leaning.


== Whitewood ==
== Whitewood ==
Subgroup: 2.3.5
Subgroup: 2.3.5


Line 22: Line 22:
[[Badness]]: 0.154651
[[Badness]]: 0.154651


=== 7-limit ===
=== 7-limit ===
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 37: Line 37:
[[Badness]]: 0.113987
[[Badness]]: 0.113987


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


Line 50: Line 50:
Badness: 0.060908
Badness: 0.060908


== Redwood ==
== Redwood ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 65: Line 65:
[[Badness]]: 0.165257
[[Badness]]: 0.165257


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


Line 78: Line 78:
Badness: 0.078193
Badness: 0.078193


== Mujannab ==
== Mujannab ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 93: Line 93:
[[Badness]]: 0.105820
[[Badness]]: 0.105820


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


Line 105: Line 105:


Badness: 0.060985
Badness: 0.060985
== Greenwood ==
{{see also|Greenwoodmic temperaments #Greenwood}}
Subgroup: 2.3.5.7
[[Comma list]]: 405/392, 1323/1280
[[Mapping]]: [{{val|7 11 1 12}}, {{val|0 0 2 1}}]
{{Multival|legend=1|0 14 7 22 11 -23}}
[[POTE generator]]: ~8/7 = 241.490
{{Val list|legend=1| 14c, 21, 35 }}
[[Badness]]: 0.121752
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 45/44, 99/98, 1323/1280
Mapping: [{{val|7 11 1 12 9}}, {{val|0 0 2 1 2}}]
POTE generator: ~8/7 = 242.711
Vals: {{Val list| 14c, 21, 35, 49bcde, 84bbccde }}
Badness: 0.057471


[[Category:Theory]]
[[Category:Theory]]