50/49: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Ratio = 50/49 
| Name = jubilisma, septimal sixth-tone, tritonic diesis
| Monzo = 1 0 2 -2
| Cents = 34.97561
| Name = jubilisma, <br>septimal sixth-tone, <br>tritonic diesis
| Color name = rryy-2, biruyo negative 2nd
| Color name = rryy-2, biruyo negative 2nd
| FJS name = d-2<sup>25</sup><sub>49</sub>
| Comma = yes
| Sound =  
}}
}}
{{Wikipedia|Septimal third tone#Septimal sixth tone}}
{{Wikipedia|Septimal third tone#Septimal sixth tone}}
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:7-limit]]
[[Category:Medium commas]]
[[Category:Superparticular]]
[[Category:Jubilismic]]
[[Category:Jubilismic]]


{{todo|clarify}} <!-- only superparticular comma... in the 7-limit only, maybe? -->
{{todo|clarify}} <!-- only superparticular comma... in the 7-limit only, maybe? -->

Revision as of 16:08, 25 October 2022

Interval information
Ratio 50/49
Factorization 2 × 52 × 7-2
Monzo [1 0 2 -2
Size in cents 34.97561¢
Names jubilisma,
septimal sixth-tone,
tritonic diesis
Color name rryy-2, biruyo negative 2nd
FJS name [math]\displaystyle{ \text{d}{-2}^{5,5}_{7,7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 11.2586
Weil norm (log2 max(n, d)) 11.2877
Wilson norm (sopfr(nd)) 26
Comma size medium
S-expression S5/S7
Open this interval in xen-calc

50/49, the jubilisma (also septimal sixth-tone or tritonic diesis) is a 7-limit medium comma. It is the only superparticular comma aside from 126/125 which has a numerator which is neither square nor triangular, meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, 50/49 = (10/7)/(7/5). Tempering out equates the two, leading to temperaments where the square root of two does service for both. Equal temperaments tempering out 50/49 include 12edo, 22edo, 26edo, 38edo, 48edo and 54edo.

See also