36/25: Difference between revisions

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Fixed typo “diminished”
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'''36/25'''
{{Infobox Interval
|2 2 -2>
| Name = classic(al) diminished fifth, diptolemaic diminished fifth
| Color name = gg5, gugu 5th
| Sound = jid_36_25_pluck_adu_dr220.mp3
}}


631.2826 cents
'''36/25''', the '''classic(al) diminished fifth''' or '''diptolemaic diminished fifth''', is the [[5-limit]] tritone produced by stacking two [[6/5]] minor thirds. This means it is justly tuned in [[1/3-comma meantone]], and almost perfectly in [[19edo]]. It is [[325/324]] (5.3 cents) flat of [[13/9]], and the interval between [[10/9]] and [[8/5]] or [[5/4]] and [[9/5]] respectively.


[[File:jid_36_25_pluck_adu_dr220.mp3]] [[:File:jid_36_25_pluck_adu_dr220.mp3|sound sample]]
== See also ==
* [[25/18]] – its [[octave complement]]
* [[Gallery of just intervals]]


The classic ([[5-limit|5-limit]]) diminished fifth is 325/324 (5.3 cents) flat of [[13/9|13/9]], and is the interval between [[10/9|10/9]] and [[8/5|8/5]] or [[5/4|5/4]] and [[9/5|9/5]] respectively. Its inversion is [[25/18|25/18]].
[[Category:Tritone]]
[[Category:5-limit]]
[[Category:Meantone]]
[[Category:interval]]
[[Category:ratio]]
[[Category:todo:expand]]
[[Category:todo:expand]]
[[Category:tritone]]

Latest revision as of 16:25, 5 September 2024

Interval information
Ratio 36/25
Factorization 22 × 32 × 5-2
Monzo [2 2 -2
Size in cents 631.2826¢
Names classic(al) diminished fifth,
diptolemaic diminished fifth
Color name gg5, gugu 5th
FJS name [math]\displaystyle{ \text{d5}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.81378
Weil norm (log2 max(n, d)) 10.3399
Wilson norm (sopfr(nd)) 20

[sound info]
Open this interval in xen-calc

36/25, the classic(al) diminished fifth or diptolemaic diminished fifth, is the 5-limit tritone produced by stacking two 6/5 minor thirds. This means it is justly tuned in 1/3-comma meantone, and almost perfectly in 19edo. It is 325/324 (5.3 cents) flat of 13/9, and the interval between 10/9 and 8/5 or 5/4 and 9/5 respectively.

See also