Starling family: Difference between revisions
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Temperaments discussed elsewhere include | Temperaments discussed elsewhere include | ||
* ''[[Erato]]'' (+81/80) → [[Didymus rank-3 family #Erato|Didymus rank-3 family]] | * ''[[Erato]]'' (+81/80) → [[Didymus rank-3 family #Erato|Didymus rank-3 family]] | ||
* ''[[Sensigh]]'' (+245/243) → [[ | * ''[[Sensigh]]'' (+245/243) → [[Sengic family #Sensigh|Sengic family]] | ||
* ''[[Oxpecker]]'' (+121/120) → [[Biyatismic clan #Oxpecker|Biyatismic clan]] | * ''[[Oxpecker]]'' (+121/120) → [[Biyatismic clan #Oxpecker|Biyatismic clan]] | ||
* ''[[Cuckoo]]'' (+243/242) → [[Rastmic rank-3 clan #Cuckoo|Rastmic rank-3 clan]] | * ''[[Cuckoo]]'' (+243/242) → [[Rastmic rank-3 clan #Cuckoo|Rastmic rank-3 clan]] | ||
Considered below are | Considered below are thrush, starnova, thrasher, aplonis, and treecreeper. | ||
== Thrush == | == Thrush == | ||
{{Main| Starling and thrush }} | {{Main| Starling and thrush }} | ||
Thrush is the main extension of starling into the [[11-limit]]. It may be described as 12 & 15 & 31, and is loosely [[associated temperament|associated]] with [[myna]]. | |||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
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[[Badness]] (Sintel): 0.424 | [[Badness]] (Sintel): 0.424 | ||
[[Projection pair]]s: <code>7 125/18 11 3125/288</code> | [[Projection pair]]s: <code>7 125/18</code> <code>11 3125/288</code> | ||
=== 13-limit === | === 13-limit === | ||
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Badness (Sintel): 0.856 | Badness (Sintel): 0.856 | ||
Projection pairs: <code>7 125/18 11 3125/288 13 41472/3125</code> | Projection pairs: <code>7 125/18</code> <code>11 3125/288</code> <code>13 41472/3125</code> | ||
=== Nightingale === | === Nightingale === | ||
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Badness (Sintel): 0.927 | Badness (Sintel): 0.927 | ||
== Starnova == | |||
Starnova tempers out [[385/384]]. This temperament used to be known as ''undecimal starling'', but was decanonicalized in 2026. The name ''starnova'' was proposed by [[Flora Canou]] after [[Gene Ward Smith]]'s [[Star]] and [[Nova]] scales. | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 126/125, 385/384 | |||
{{Mapping|legend=1| 1 0 0 -1 8 | 0 1 0 -2 3 | 0 0 1 3 -4 }} | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.6133{{c}}, ~3/2 = 700.4314{{c}}, ~5/4 = 388.3236{{c}} | |||
: [[error map]]: {{val| +0.613 -0.910 +3.237 -2.878 -1.478 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.4020{{c}}, ~5/4 = 388.3631{{c}} | |||
: error map: {{val| 0.000 -1.553 +2.049 -4.541 -3.564 }} | |||
{{Optimal ET sequence|legend=1| 12e, 15, 19, 27, 31, 46, 77, 96d, 127d, 173d, 204de }} | |||
[[Badness]] (Sintel): 0.813 | |||
[[Projection pair]]s: <code>7 125/18</code> <code>11 6912/625</code> | |||
Scales: [[Star and Nova]] | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 126/125, 196/195, 385/384 | |||
Mapping: {{mapping| 1 0 0 -1 8 0 | 0 1 0 -2 3 -5 | 0 0 1 3 -4 5 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1200.5083{{c}}, ~3/2 = 700.7452{{c}}, ~5/4 = 388.4655{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.5708{{c}}, ~5/4 = 388.4346{{c}} | |||
{{Optimal ET sequence|legend=0| 15f, 19, 27, 31, 46, 77, 96d }} | |||
Badness (Sintel): 1.07 | |||
== Thrasher == | == Thrasher == | ||
{{See also| Ptolemismic clan | {{See also| Ptolemismic clan }} | ||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||