26/25: Difference between revisions

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m Added approximation, added link to small third tone, categories
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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Ratio = 26/25
| Monzo = 1 0 -2 0 0 1
| Cents = 67.90023
| Name = large tridecimal third tone
| Name = large tridecimal third tone
| Color name = 3ogg2, thogugu 2nd
| Color name = 3ogg2, thogugu 2nd
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* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:13-limit]]
[[Category:Third tone]]
[[Category:Third tone]]
[[Category:Superparticular]]

Revision as of 14:37, 25 October 2022

Interval information
Ratio 26/25
Factorization 2 × 5-2 × 13
Monzo [1 0 -2 0 0 1
Size in cents 67.90023¢
Name large tridecimal third tone
Color name 3ogg2, thogugu 2nd
FJS name [math]\displaystyle{ \text{d2}^{13}_{5,5} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 9.3443
Weil height (log2 max(n, d)) 9.40088
Wilson height (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

In 13-limit just intonation, 26/25, the large tridecimal third tone appears as the difference between the 26th and 25th harmonics. Thus it makes the difference between 13/8 and 25/16 (a stack of two 5/4's). It measures about 67.9¢.

Approximation

26/25 is very well approximated in 53edo, being only 0.024 ¢ flat of 3\53.

See also