Limmic temperaments: Difference between revisions
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Blacksmith is still the only extension of blackwood since blackweed is of a different subgroup |
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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. | 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. | ||
== | == Blacksmith == | ||
=== 5-limit (blackwood) === | |||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
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[[Badness]]: 0.063760 | [[Badness]]: 0.063760 | ||
== | === 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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Subgroup: 2.3.14/11 | Subgroup: 2.3.14/11 | ||
Comma: 256/243 | [[Comma list]]: 256/243 | ||
Mapping: [{{val|5 8 0}}, {{val|0 0 1}}] | [[Mapping]]: [{{val| 5 8 0 }}, {{val| 0 0 1 }}] | ||
Mapping generators: ~9/8, ~14/11 | Mapping generators: ~9/8, ~14/11 | ||
POTE generator: ~14/11 = 413.7785 | [[POTE generator]]: ~14/11 = 413.7785 | ||
{{Val list|legend=1| 20, 35b }} | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||