78/77: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = negustma, tridecimal minor third comma
| Ratio = 78/77
| Color name = 3o1ur1, tholuru unison,<br>Tholuru comma
| Monzo = 1 1 0 -1 -1 1
| Comma = yes
| Cents = 22.33881
| Name = tridecimal minor third comma, negustma
| Color name = 3o1ur1, tholuru unison
| FJS name = P1<sup>13</sup><sub>77</sub>
| Sound =  
}}
}}
'''78/77''', the '''tridecimal minor third comma''', is a [[13-limit]] no-fives comma of about 22.3[[cent|&cent;]]. It is the difference between [[13/11]] and [[7/6]] as well as the difference between [[13/7]] and [[11/6]].
'''78/77''', the '''negustma''' or '''tridecimal minor third comma''', is a [[13-limit]] no-fives comma of about 22.3[[cent|¢]]. It is the difference between [[13/11]] and [[7/6]] as well as the difference between [[13/7]] and [[11/6]].


== See also ==
== See also ==
Line 16: Line 11:
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:13-limit]]
{{todo|expand}}
[[Category:Interval]]
[[Category:Commas named by combining multiple temperament names]]
[[Category:Small comma]]
[[Category:Commas named for the generator of their temperament]]
[[Category:Superparticular]]
 
[[Category:Todo:expand]]

Latest revision as of 23:07, 15 November 2024

Interval information
Ratio 78/77
Factorization 2 × 3 × 7-1 × 11-1 × 13
Monzo [1 1 0 -1 -1 1
Size in cents 22.33881¢
Names negustma,
tridecimal minor third comma
Color name 3o1ur1, tholuru unison,
Tholuru comma
FJS name [math]\displaystyle{ \text{P1}^{13}_{7,11} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 12.5522
Weil height (log2 max(n, d)) 12.5708
Wilson height (sopfr(nd)) 36
Comma size small
S-expression S12 × S13
Open this interval in xen-calc

78/77, the negustma or tridecimal minor third comma, is a 13-limit no-fives comma of about 22.3¢. It is the difference between 13/11 and 7/6 as well as the difference between 13/7 and 11/6.

See also