Semicanousma: Difference between revisions
m Moving from Category:Small comma to Category:Small commas using Cat-a-lot |
mNo edit summary |
||
(5 intermediate revisions by 5 users not shown) | |||
Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 14641/14580 | | Ratio = 14641/14580 | ||
| Name = semicanousma | | Name = semicanousma | ||
| Color name = | | Color name = 1o<sup>4</sup>g1, quadlo-agu unison | ||
| | | Comma = yes | ||
}} | }} | ||
The '''semicanousma''', 14641/14580 = {{monzo| -2 -6 -1 0 4 }}, is an [[11-limit]] [[comma]] measuring about 7.2 [[cent]]s, named for it is one of the commas tempered out in the [[semicanou]] temperament. It is the difference between [[121/120]] (biyatisma) and [[243/242]] (rastma). | The '''semicanousma''', 14641/14580 = {{monzo| -2 -6 -1 0 4 }}, is an [[11-limit]] [[comma]] measuring about 7.2 [[cent]]s, named for the fact that it is one of the commas tempered out in the [[semicanou]] temperament. It is the amount by which a stack of four [[11/9|Alpharabian artoneutral thirds (11/9)]] exceeds the [[20/9|ptolemaic ninth (20/9)]]. It is also the difference between [[121/120]] (biyatisma) and [[243/242]] (rastma). | ||
== Temperaments == | == Temperaments == | ||
Tempering it out leads to the rank-4 '''semicanousmic temperament''', which splits the [[81/80|syntonic comma]] into two equal parts, each representing 121/120~243/242, so | Tempering it out leads to the rank-4 '''semicanousmic temperament''', which splits the [[81/80|syntonic comma]] into two equal parts, each representing 121/120~243/242, so the comma can be said to be the undecimal counterpart of both [[3136/3125|hemimean]] and [[canousma]]. It also identifies [[20/11]] by three [[11/9]]'s stacked, so an octave is divided into 11/9-11/9-11/9-[[11/10]]. | ||
== See also == | == See also == | ||
Line 19: | Line 16: | ||
* [[Small comma]] | * [[Small comma]] | ||
[[Category:Semicanousmic]] | [[Category:Semicanousmic]] | ||
[[Category:Commas named after composers]] | |||
[[Category:Commas named after music theorists]] |