26/25: Difference between revisions

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Xenwolf (talk | contribs)
added name and color name
Xenwolf (talk | contribs)
there are two tridecimal third tones
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| Monzo = 1 0 -2 0 0 1
| Monzo = 1 0 -2 0 0 1
| Cents = 67.90023
| Cents = 67.90023
| Name = tridecimal third tone
| Name = large tridecimal third tone
| Color name = 3ogg2, thogugu 2nd
| Color name = 3ogg2, thogugu 2nd
| Sound = jid_26_25_pluck_adu_dr220.mp3
| Sound = jid_26_25_pluck_adu_dr220.mp3
}}
}}


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


== See also ==
== See also ==

Revision as of 17:23, 1 November 2018

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 harmonic and the 25th. Thus it makes the difference between 13/8 and 25/16 (a stack of two 5/4's). It measures about 67.9¢.

See also