Starling temperaments: Difference between revisions

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 * ''[[Muscogee]]'' (+33756345/33554432) → [[Mabila family #Muscogee|Mabila family]]
 * ''[[Thuja]]'' (+65536/64827) → [[Buzzardsmic clan #Thuja|Buzzardsmic clan]]
+* ''[[Paraguay]]'' (+12005/11664) → [[Parakleismic family #Paraguay|Parakleismic family]]
 * ''[[Diton]]'' (+8751645/8388608) → [[Ditonmic family #Diton|Ditonmic family]]
 * ''[[Vishnean]]'' (+540225/524288) → [[Vishnu family #Vishnean|Vishnu family]]
 * ''[[Coblack]]'' (+16807/16384) → [[Trisedodge family #Coblack|Trisedodge family]]
-Considered below are myna, nusecond, oolong, vines, kumonga, cypress, bisemidim, casablanca, amigo, gilead, supersensi, and cobalt, sorted by increasing [[badness]].
+Considered below are myna, nusecond, oolong, vines, kumonga, cypress, bisemidim, casablanca, amigo, supersensi, and cobalt, sorted by increasing [[badness]].
 Since {{nowrap|(6/5)<sup>3</sup> {{=}} (126/125)⋅(12/7)}}, these temperaments tend to have a relatively small complexity for 6/5. They also possess the [[starling tetrad]], the 6/5–6/5–6/5–7/6 versions of the diminished seventh chord.
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 Badness (Sintel): 1.19
-== Paraguay ==
-: ''For the 5-limit version, see [[Syntonic–kleismic equivalence continuum #Parakleismic]].''
-Named by [[User:Xenllium|Xenllium]] in 2026, paraguay tempers out [[12005/11664]] and may be described as the {{nowrap| 19 & 61 }} temperament. It is a variant of [[parakleismic]], mapping 7th harmonic to 16 generators.
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 126/125, 12005/11664
-{{Mapping|legend=1| 1 -8 -8 -9 | 0 13 14 16 }}
-: mapping generators: ~2, ~5/3
-[[Optimal tuning]]s:
-* [[WE]]: ~2 = 1200.6421{{c}}, ~5/3 = 885.3232{{c}}
-: [[error map]]: {{val| +0.642 +2.110 +3.074 -9.434 }}
-* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/3 = 884.8949{{c}}
-: error map: {{val| 0.000 +1.678 +2.214 -10.508 }}
-{{Optimal ET sequence|legend=1| 19, 61, 80d, 99d }}
-[[Badness]] (Sintel): 2.47
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 56/55, 100/99, 12005/11664
-Mapping: {{mapping| 1 -8 -8 -9 2 | 0 13 14 16 2 }}
-Optimal tunings:
-* WE: ~2 = 1197.7783{{c}}, ~5/3 = 883.6140{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~5/3 = 885.1383{{c}}
-{{Optimal ET sequence|legend=0| 19, 42e, 61e }}
-Badness (Sintel): 2.49
-==== 13-limit ====
-Subgroup: 2.3.5.7.11.13
-Comma list: 56/55, 91/90, 100/99, 343/338
-Mapping: {{mapping| 1 -8 -8 -9 2 -14 | 0 13 14 16 2 24 }}
-Optimal tunings:
-* WE: ~2 = 1197.7848{{c}}, ~5/3 = 883.6431{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~5/3 = 885.1623{{c}}
-{{Optimal ET sequence|legend=0| 19, 42ef, 61e }}
-Badness (Sintel): 1.86
 == Bisemidim ==

Starling temperaments: Difference between revisions

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