Limmic temperaments: Difference between revisions

m FloraC moved page Limma family to Limmic temperaments: Not a single family
m Update
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The '''limma family''' tempers out the Pythagorean limma, [[256/243]]. As a consequence, [[3/2]] is always represented by 3\5, 720 [[cent]]s assuming pure octaves. While quite sharp, this is close enough to a just fifth to serve as a fifth, and some people are fond of it.
This '''limmic temperaments''' page collects various temperaments tempering out the Pythagorean limma, [[256/243]]. As a consequence, [[3/2]] is always represented by 3\5, 720 [[cent]]s assuming pure octaves. While quite sharp, this is close enough to a just fifth to serve as a fifth, and some people are fond of it.


== Blackwood ==
== Blacksmith ==
=== 5-limit (blackwood) ===
Subgroup: 2.3.5
Subgroup: 2.3.5


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[[Badness]]: 0.063760
[[Badness]]: 0.063760


=== Blacksmith ===
=== 7-limit ===
[[File:blacksmith10.jpg|alt=blacksmith10.jpg|thumb|Lattice of blacksmith]]
[[File:blacksmith10.jpg|alt=blacksmith10.jpg|thumb|Lattice of blacksmith]]


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[[Badness]]: 0.025640
[[Badness]]: 0.025640


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


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Badness: 0.024641
Badness: 0.024641


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


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Badness: 0.020498
Badness: 0.020498


==== Farrier ====
=== Farrier ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


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Badness: 0.029200
Badness: 0.029200


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


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Badness: 0.022325
Badness: 0.022325


==== Ferrum ====
=== Ferrum ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


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Badness: 0.030883
Badness: 0.030883
== Blackweed ==
== Blackweed ==
Blackweed is so named because the 20edo tuning has 4\20 as the period and 420¢ as the generator.
Blackweed is so named because the 20edo tuning has 4\20 as the period and 420¢ as the generator.
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Vals: {{Val list|20, 35b }}
Vals: {{Val list|20, 35b }}
[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
[[Category:Temperament family]]
[[Category:Temperament collection]]
[[Category:Limma family]] <!-- main article -->
[[Category:Limmic temperaments]] <!-- main article -->
[[Category:Rank 2]]
[[Category:Rank 2]]
[[Category:Blackwood]]
[[Category:Blackwood]]