5L 3s/Temperaments: Difference between revisions
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Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7), is the only [[harmonic entropy]] minimum in the oneirotonic range. However, the rest of this region is still rich in notable subgroup temperaments. | Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7), is the only [[harmonic entropy]] minimum in the oneirotonic range. However, the rest of this region is still rich in notable subgroup temperaments. | ||
== Tridec == | |||
Subgroup: 2.3.7/5.11/5.13/5 | Subgroup: 2.3.7/5.11/5.13/5 | ||
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EDO generators: [[21edo|8\21]], [[29edo|11\29]], [[37edo|14\37]] | EDO generators: [[21edo|8\21]], [[29edo|11\29]], [[37edo|14\37]] | ||
[[Comma]] list: 196/195, 847/845, 1001/1000 | [[Comma]] list: 196/195, 847/845, 1001/1000 | ||
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{{Vals|legend=1| 21, 29, 37 }} | {{Vals|legend=1| 21, 29, 37 }} | ||
=== Intervals === | |||
Sortable table of intervals in the Dylathian mode and their Tridec interpretations: | Sortable table of intervals in the Dylathian mode and their Tridec interpretations: | ||
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|} | |} | ||
== Petrtri == | |||
Subgroup: 2.5.9.11.13.17 | Subgroup: 2.5.9.11.13.17 | ||
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EDO generators: [[13edo|5\13]], [[21edo|8\21]], [[34edo|13\34]] | EDO generators: [[13edo|5\13]], [[21edo|8\21]], [[34edo|13\34]] | ||
[[Comma]] list: 100/99, 144/143, 170/169, 221/220 | [[Comma]] list: 100/99, 144/143, 170/169, 221/220 | ||
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{{Vals|legend=1| 13, 21, 34 }} | {{Vals|legend=1| 13, 21, 34 }} | ||
=== Intervals === | |||
Sortable table of intervals in the Dylathian mode and their Petrtri interpretations: | Sortable table of intervals in the Dylathian mode and their Petrtri interpretations: | ||
{| class="wikitable right-2 right-3 right-4 right-5 sortable" | {| class="wikitable right-2 right-3 right-4 right-5 sortable" | ||
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|} | |} | ||
== A-Team == | |||
Subgroup: 2.5.9.21 | Subgroup: 2.5.9.21 | ||
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Lookalike temperament: [[Dual-fifth_temperaments#Dual-3_A-Team|Dual-3 A-Team]] | Lookalike temperament: [[Dual-fifth_temperaments#Dual-3_A-Team|Dual-3 A-Team]] | ||
[[Comma]] list: 81/80, 1029/1024 | [[Comma]] list: 81/80, 1029/1024 | ||
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{{Vals|legend=1| 13, 18, 31, 44 }} | {{Vals|legend=1| 13, 18, 31, 44 }} | ||
=== Intervals === | |||
Sortable table of intervals in the Dylathian mode and their A-Team interpretations: | Sortable table of intervals in the Dylathian mode and their A-Team interpretations: | ||
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<references/> | <references/> | ||
== Buzzard == | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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EDO generators: [[38edo|15\38]], [[43edo|17\43]], [[48edo|19\48]], [[53edo|21\53]], [[58edo|23\58]], [[63edo|25\63]] | EDO generators: [[38edo|15\38]], [[43edo|17\43]], [[48edo|19\48]], [[53edo|21\53]], [[58edo|23\58]], [[63edo|25\63]] | ||
Commas: 1728/1715, 5120/5103 | Commas: 1728/1715, 5120/5103 | ||
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Badness: 0.0480 | Badness: 0.0480 | ||
=== Intervals === | |||
Sortable table of intervals in the Dylathian mode and their Buzzard interpretations: | Sortable table of intervals in the Dylathian mode and their Buzzard interpretations: | ||