Porcupine family: Difference between revisions
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The '''porcupine family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[porcupine comma]], [[250/243]], also called the maximal diesis. | The '''porcupine family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[porcupine comma]], [[250/243]], also called the maximal diesis. | ||
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{{Mapping|legend=1| 1 2 3 | 0 -3 -5 }} | {{Mapping|legend=1| 1 2 3 | 0 -3 -5 }} | ||
: mapping generators: ~2, ~10/9 | : mapping generators: ~2, ~10/9 | ||
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Temperaments discussed elsewhere include: | Temperaments discussed elsewhere include: | ||
* [[Oxygen]] → [[Very low accuracy temperaments #Oxygen|Very low accuracy temperaments]] | * ''[[Oxygen]]'' → [[Very low accuracy temperaments #Oxygen|Very low accuracy temperaments]] | ||
* [[Jamesbond]] → [[ | * ''[[Jamesbond]]'' → [[Whitewood family #Jamesbond|Whitewood family]] | ||
==== Subgroup extensions ==== | ==== Subgroup extensions ==== | ||
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Badness (Sintel): 0.303 | Badness (Sintel): 0.303 | ||
== Septimal porcupine == | == Septimal porcupine == | ||
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Badness (Sintel): 1.08 | Badness (Sintel): 1.08 | ||
==== Undecimation ==== | |||
This weak extension is used by most patent vals that support porcupine and tune 13 well. | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 55/54, 64/63, 100/99, 169/168 | |||
Mapping: {{mapping| 1 -1 -2 8 0 5 | 0 6 10 -12 8 -3 }} | |||
: mapping generators: ~2, ~35/26 | |||
Optimal tunings: | |||
* WE: ~2 = 1198.4569{{c}}, ~35/26 = 517.9375{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~35/26 = 518.5822{{c}} | |||
{{Optimal ET sequence|legend=0| 7, 30, 37, 81bd }} | |||
Badness (Sintel): 1.68 | |||
== Opossum == | == Opossum == | ||
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Badness (Sintel): 1.85 | Badness (Sintel): 1.85 | ||
[[Category:Porcupine family| ]] <!-- main article --> | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category: | [[Category:Catalogs of rank-2 temperaments]] | ||