Hemimage temperaments: Difference between revisions

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{{Mapping|legend=1| 3 4 5 6 | 0 5 13 16 }}
{{Mapping|legend=1| 3 4 5 6 | 0 5 13 16 }}
{{Multival|legend=1| 15 39 48 27 34 2 }}


: mapping generators: ~63/50, ~28/27
: mapping generators: ~63/50, ~28/27
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: mapping generators: ~1225/864, ~192/175
: mapping generators: ~1225/864, ~192/175
{{Multival|legend=1| 16 -10 34 -53 9 107 }}


[[Optimal tuning]] ([[POTE]]): ~1225/864 = 1\2, ~192/175 = 162.806
[[Optimal tuning]] ([[POTE]]): ~1225/864 = 1\2, ~192/175 = 162.806
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: mapping generators: ~567/400, ~81/80
: mapping generators: ~567/400, ~81/80
{{Multival|legend=1| 10 38 36 37 29 -23 }}


[[Optimal tuning]] ([[POTE]]): ~567/400 = 1\2, ~81/80 = 20.377
[[Optimal tuning]] ([[POTE]]): ~567/400 = 1\2, ~81/80 = 20.377
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: mapping generators: ~28/27, ~3
: mapping generators: ~28/27, ~3
{{Multival|legend=1| 20 40 60 17 39 27 }}


[[Optimal tuning]] ([[POTE]]): ~28/27 = 1\20, ~3/2 = 703.015 (~126/125 = 16.985)
[[Optimal tuning]] ([[POTE]]): ~28/27 = 1\20, ~3/2 = 703.015 (~126/125 = 16.985)
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[[Badness]]: 0.106471
[[Badness]]: 0.106471


Badness (Dirichlet): 2.694
Badness (Sintel): 2.694


=== 11-limit ===
=== 11-limit ===
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Badness: 0.046770
Badness: 0.046770


Badness (Dirichlet): 1.546
Badness (Sintel): 1.546


=== 13-limit ===
=== 13-limit ===
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Badness: 0.032718
Badness: 0.032718


Badness (Dirichlet): 1.352
Badness (Sintel): 1.352


=== 17-limit ===
=== 17-limit ===
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{{Optimal ET sequence|legend=1| 20cde, 60e, 80, 140 }}
{{Optimal ET sequence|legend=1| 20cde, 60e, 80, 140 }}


Badness (Dirichlet): 1.171
Badness (Sintel): 1.171


=== 19-limit ===
=== 19-limit ===
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{{Optimal ET sequence|legend=1| 20cde, 60e, 80, 140 }}
{{Optimal ET sequence|legend=1| 20cde, 60e, 80, 140 }}


Badness (Dirichlet): 1.273
Badness (Sintel): 1.273


=== 23-limit ===
=== 23-limit ===
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{{Optimal ET sequence|legend=1| 20cdei, 60e, 80, 140 }}
{{Optimal ET sequence|legend=1| 20cdei, 60e, 80, 140 }}


Badness (Dirichlet): 1.209
Badness (Sintel): 1.209


=== 29-limit ===
=== 29-limit ===
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{{Optimal ET sequence|legend=1| 20cdeij, 60e, 80, 140 }}
{{Optimal ET sequence|legend=1| 20cdeij, 60e, 80, 140 }}


Badness (Dirichlet): 1.134
Badness (Sintel): 1.134


=== no-31's 37-limit ===
=== no-31's 37-limit ===
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{{Optimal ET sequence|legend=1| 20cdeijl, 60el, 80, 140 }}
{{Optimal ET sequence|legend=1| 20cdeijl, 60el, 80, 140 }}


Badness (Dirichlet): 1.127
Badness (Sintel): 1.127


=== no-31's 41-limit ===
=== no-31's 41-limit ===
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{{Optimal ET sequence|legend=1| 20cdeijlm, 60el, 80, 140 }}
{{Optimal ET sequence|legend=1| 20cdeijlm, 60el, 80, 140 }}


Badness (Dirichlet): 1.100
Badness (Sintel): 1.100


== Squarschmidt ==
== Squarschmidt ==
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{{Mapping|legend=1| 1 -8 1 -20 | 0 29 4 69 }}
{{Mapping|legend=1| 1 -8 1 -20 | 0 29 4 69 }}
{{Multival|legend=1| 29 4 69 -61 28 149 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~1125/896 = 396.643
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~1125/896 = 396.643
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[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Pages with mostly numerical content]]
[[Category:Hemimage temperaments| ]] <!-- main article -->
[[Category:Hemimage temperaments| ]] <!-- main article -->
[[Category:Hemimage| ]] <!-- key article -->
[[Category:Hemimage| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]