Porwell temperaments: Difference between revisions

Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Nessafof: +intro and update keys
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== Nessafof ==
== Nessafof ==
Subgroup: 2.3.5.7
Cryptically named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101089.html Yahoo! Tuning Group | ''Some more unclassified temperaments'']</ref>, nessafof adds the [[landscape comma]] and has a third-octave period.
 
[[Subgroup]]: 2.3.5.7


[[Comma list]]: 6144/6125, 250047/250000
[[Comma list]]: 6144/6125, 250047/250000


[[Mapping]]: [{{val| 3 2 5 10 }}, {{val| 0 7 5 -4 }}]
{{Mapping|legend=1| 3 2 5 10 | 0 7 5 -4 }}
 
: mapping generators: ~63/50, ~35/32


{{Multival|legend=1| 21 15 -12 -25 -78 -70 }}
{{Multival|legend=1| 21 15 -12 -25 -78 -70 }}


[[POTE generator]]: ~35/32 = 157.480
[[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~35/32 = 157.480


{{Optimal ET sequence|legend=1| 15, 54b, 69, 84, 99, 282, 381 }}
{{Optimal ET sequence|legend=1| 15, 54b, 69, 84, 99, 282, 381 }}
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Comma list: 121/120, 176/175, 250047/250000
Comma list: 121/120, 176/175, 250047/250000


Mapping: [{{val| 3 2 5 10 8 }}, {{val| 0 7 5 -4 6 }}]
Mapping: {{mapping| 3 2 5 10 8 | 0 7 5 -4 6 }}


POTE generator: ~12/11 = 157.520
Optimal tuning (POTE): ~63/50 = 1\3, ~12/11 = 157.520


{{Optimal ET sequence|legend=1| 15, 54be, 69e, 84e, 99 }}
{{Optimal ET sequence|legend=1| 15, 54be, 69e, 84e, 99 }}
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Comma list: 441/440, 1344/1331, 4375/4356
Comma list: 441/440, 1344/1331, 4375/4356


Mapping: [{{val| 3 2 5 10 10 }}, {{val| 0 7 5 -4 1 }}]
Mapping: {{mapping| 3 2 5 10 10 | 0 7 5 -4 1 }}


POTE generator: ~35/32 = 157.539
Optimal tuning (POTE): ~44/35 = 1\3, ~35/32 = 157.539


{{Optimal ET sequence|legend=1| 15, 54b, 69, 84, 99e }}
{{Optimal ET sequence|legend=1| 15, 54b, 69, 84, 99e }}
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Comma list: 144/143, 364/363, 441/440, 625/624
Comma list: 144/143, 364/363, 441/440, 625/624


Mapping: [{{val| 3 2 5 10 10 6 }}, {{val| 0 7 5 -4 1 13 }}]
Mapping: {{mapping| 3 2 5 10 10 6 | 0 7 5 -4 1 13 }}


POTE generator: ~35/32 = 157.429
Optimal tuning (POTE): ~44/35 = 1\3, ~35/32 = 157.429


{{Optimal ET sequence|legend=1| 15, 54bf, 69, 84, 99ef, 183ef, 282eeff }}
{{Optimal ET sequence|legend=1| 15, 54bf, 69, 84, 99ef, 183ef, 282eeff }}