Semaphoresmic family: Difference between revisions

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'''Semiphore family''' is a rank-3 temperament family of 2.3.5.7 that tempers out [[49/48]] and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". Related to this is the 2.3.7-limit 49/48 temperament called "[[Slendro clan #Semaphore|semaphore]]", and the 2.3.5.7 49/48 and 81/80 temperament called "[[Meantone family #Godzilla|godzilla]]".
'''Semiphore family''' is a rank-3 temperament family of 2.3.5.7 that tempers out [[49/48]] and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". Related to this is the 2.3.7-limit 49/48 temperament called "[[Slendro clan #Semaphore|semaphore]]", and the 2.3.5.7 49/48 and 81/80 temperament called "[[Meantone family #Godzilla|godzilla]]".


= Semiphore =
== Semiphore ==


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
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= Selenium =
== Selenium ==


[[Comma list]]: 49/48, 56/55
[[Comma list]]: 49/48, 56/55
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[[Badness]]: 0.665 × 10<sup>-3</sup>
[[Badness]]: 0.665 × 10<sup>-3</sup>


== 13-limit ==
=== 13-limit ===


Comma list: 49/48, 56/55, 91/90
Comma list: 49/48, 56/55, 91/90
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Badness: 0.787 × 10<sup>-3</sup>
Badness: 0.787 × 10<sup>-3</sup>


= Negric =
== Negric ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
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[[Badness]]: 1.087 × 10<sup>-3</sup>
[[Badness]]: 1.087 × 10<sup>-3</sup>


== 13-limit ==
=== 13-limit ===


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13