45/44: Difference between revisions
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'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]] | '''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], between [[11/10]] and [[9/8]], and between [[22/15]] and [[3/2]]. | ||
45/44 is also known as the "cake" comma, from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top. | 45/44 is also known as the "cake" comma, from when [[Ocean Stegosaurus Tardigrade]] was baking a cake and misread flour and sugar measurements on his scale, leading to the inclusion of 11/9 times the amount suggested in his recipe. To compensate, he writes "I increased all the other ingredients by a neutral third, except the eggs, which I increased by a major third because I couldn't be bothered to measure out eight ninths of an egg." We see here the equating of 11/9 with 5/4, leading to the tempering out of 45/44. The cake turned out fine but slightly burnt on the top. | ||
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== Temperaments == | == Temperaments == | ||
When treated as a comma to be tempered out, it leads to the [[Catalog of rank-4 temperaments #Cake (45/44)|cake temperament]]. | When treated as a comma to be tempered out, it leads to the [[Catalog of rank-4 temperaments #Cake (45/44)|cake temperament]]. It is tempered out by the [[patent val]]s for [[12edo|12]], [[19edo|19]], and [[26edo|26]]-tone equal temperament. | ||
== See also == | == See also == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
* [[Medium comma]] | * [[Medium comma]] | ||
[[Category:Cake]] | |||
[[Category:Commas named following events]] | [[Category:Commas named following events]] | ||