45/44: Difference between revisions

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45/44, ~38.906 cents, the undecimal 1/5th tone, is the interval between [[11/9|11/9]] and [[5/4|5/4]], and also between [[11/10|11/10]] and [[9/8|9/8]]. It is tempered out by the patent vals for [[12edo|12]], [[19edo|19]], and [[26edo|26]] equal.
{{Infobox Interval
| Icon =
| Ratio = 45/44
| Monzo = -2 2 1 0 -1
| Cents = 38.90577
| Name = undecimal 1/5-tone
| Color name = 1uy1, luyo comma
| FJS name = A1<sup>5</sup><sub>11</sub>
| Sound =
}}
 
'''45/44''', ~38.906 cents, the '''undecimal 1/5-tone''', is the interval between [[11/9]] and [[5/4]], and also between [[11/10]] and [[9/8]]. It is tempered out by the patent vals for [[12edo|12]], [[19edo|19]], and [[26edo|26]] equal.
 
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 know 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.
[[File:Oceania's cake.jpg|thumb|Ocean's cake]]
[[File:Oceania's cake.jpg|thumb|Ocean's cake]]
== See also ==
* [[22/15]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]
* [[Medium commas]]
[[Category:11-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Comma]]
[[Category:Medium comma]]
[[Category:Superparticular]]

Revision as of 07:50, 20 September 2020

Interval information
Ratio 45/44
Factorization 2-2 × 32 × 5 × 11-1
Monzo [-2 2 1 0 -1
Size in cents 38.90577¢
Name undecimal 1/5-tone
Color name 1uy1, luyo comma
FJS name [math]\displaystyle{ \text{A1}^{5}_{11} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 10.9513
Weil height (log2 max(n, d)) 10.9837
Wilson height (sopfr(nd)) 26
Open this interval in xen-calc

45/44, ~38.906 cents, the undecimal 1/5-tone, is the interval between 11/9 and 5/4, and also between 11/10 and 9/8. It is tempered out by the patent vals for 12, 19, and 26 equal.

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.

Ocean's cake

See also